A design on the window of a building. The curved part XY is an arc of a circle. The rise of the segmental arc is 10cm, it's span is 100cm
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Related Questions
The product that results from multiplying the same number over and over is a(an) of that number
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Answer:
It is a power of that number
The zoo is building a new polar bear exhibit, and wants to put a semi-circular window in the concrete wall of the swimming tank. If the semi-circle has diameter 70 centimeters, and the bottom of the window is at a depth of 2.5 meters, find the hydrostatic force on the window.
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The hydrostatic force on the window is approximately 47,481 Newtons.
We can use the formula for hydrostatic force, which is:
F = ρghA
where F is the hydrostatic force, ρ is the density of the fluid (water in this case), g is the acceleration due to gravity, h is the depth of the window, and A is the area of the window.
First, we need to find the area of the window. Since the window is a semi-circle with diameter 70 centimeters, the radius is 35 centimeters, and the area is:
A = (π/2)r^2
= (π/2)(35 cm)^2
= 1225π/2 cm^2
Next, we need to convert the depth of the window to meters:
h = 2.5 m
We also need the density of water, which is approximately:
ρ = 1000 kg/m^3
Finally, we need the acceleration due to gravity, which we can assume is:
g = 9.8 m/s^2
Now we can plug these values into the formula:
F = ρghA
= (1000 kg/m^3)(9.8 m/s^2)(2.5 m)(1225π/2 cm^2)
≈ 47,481 N
Therefore, the hydrostatic force on the window is approximately 47,481 Newtons.
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Determine the intercepts of the line.
y = 80 - 18
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Answer:
Step-by-step explanation:
This equation is in slop-intercept form. This means that the y-int is in the equation, it will always be the constant, so y is -18.
To find x, set y to 0.
0 = 8x - 18
18 = 8x
18/8 = x
9/4 = x
Bro PUH LEZ answer!!
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Answer:
d
Step-by-step explanation:
In order for the two triangles to be similar the ratio of each side has to be the same. in answer do the ratios would be 21 to 17.5 and 18 to 15 and both ratios equal 1.2 which means they are similar triangles.
solve the equation in the interval [0, 2π) 3csc^2x=4
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The equation in the interval [0, 2π) 3csc^2x=4 are: x = π/3 and x = 2π/3.
What is the solutions in the interval?We can start solving the equation by isolating the csc^2(x) term, using the fact that csc^2(x) = 1/sin^2(x):
3csc^2(x) = 4
csc^2(x) = 4/3
1/sin^2(x) = 4/3
sin^2(x) = 3/4
Taking the square root of both sides, we get:
sin(x) = ±√(3/4) = ±(√3)/2
Since we are looking for solutions in the interval [0, 2π), we need to determine the angles in this interval whose sine is equal to ±(√3)/2. These angles are π/3 and 2π/3, since sin(π/3) = √3/2 and sin(2π/3) = √3/2.
Therefore, the solutions in the interval [0, 2π) are:
x = π/3 and x = 2π/3.
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g(x)=5-2x what is domain
Answers
Answer:
all real numbers
Step-by-step explanation:
The domain of any polynomial function is "all real numbers."
Mr. Starnes wondered what proportion of Katy Perry's Twitter followers are
female, so he selected a random sample of 500 of Katy Perry's followers. In the
sample, 308 are female. Construct and interpret a 90% confidence interval for the
true proportion of Katy Perry followers that are female.
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Answer and Step-by-step explanation:
To calculate a confidence interval for a proportion:
1) Determine the proportion
\(p=\frac{308}{500}\)
p = 0.616
2) A 90% confidence interval has z-score that is 1.645.
3) Calculate margin of error
\(ME=\sqrt{\frac{p(1-p)}{n} }\)
where
n is the sample size
So
\(ME=\sqrt{\frac{0.616(1-0.616)}{500} }\)
\(ME=\sqrt{\frac{0.616(0.384)}{500} }\)
ME = 0.02175
Then the interval is given by
p ± z(ME)
0.62 ± 1.645(0.02175)
0.62 ± 0.035
The interval will be
0.585 < p < 0.655
What this means is that we are 90% confident that the true proportion of Katy Perry's Twitter female followers is between 0.585 and 0.655.
The points A=[3,3],B=[−3,5],C=[−1,−2] and D=[3,−1] form a quodrangle ABCD in the xy-plane. The line segments AC and BD intersect each other in a point E. Determine the coordinates of E. Give your answer in the form [a,b] for the correct values of a and b. Let A,B,C and D be as in the previous exercise. That is A=[3,3],B=[−3,5],C=[−1,−2] and D=[3,−1]. Let O=[0,0] denote the origin. Which of the following triangles has the largest area? △ABO △BCO △CDO △DAO We want to change the coordinate of the point O such that the triangle △CDO has the largest area amongst the triangles △ABO,△BCO,△CDO,△DAO, and that it is the only one with this orea. Give an example of such new coordinates. Give your answer in the form [a,b] for the correct values of a and b. Of note: there is not one, unique, correct answer. There are muitiple cholces for a and b possible. You just need to provide one example.
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The coordinates of point E, the intersection of line segments AC and BD, are [0, 1].
To determine the coordinates of point E, we need to find the point of intersection between line segments AC and BD. We can use the equations of the lines passing through AC and BD to find the point of intersection.
The equation of the line passing through points A and C can be found using the slope-intercept form of a linear equation:
slope_AC = (yC - yA) / (xC - xA) = (-2 - 3) / (-1 - 3) = -5/4
Using the point-slope form of a linear equation, the equation of the line passing through A and C is:
y - yA = slope_AC * (x - xA)
Substituting the coordinates of point A and the slope, we get:
y - 3 = (-5/4) * (x - 3)
4y - 12 = -5x + 15
5x + 4y = 27 ...........(Equation 1)
Similarly, we can find the equation of the line passing through points B and D:
slope_BD = (yD - yB) / (xD - xB) = (-1 - 5) / (3 - (-3)) = -6/6 = -1
Using the point-slope form of a linear equation, the equation of the line passing through B and D is:
y - yB = slope_BD * (x - xB)
Substituting the coordinates of point B and the slope, we get:
y - 5 = (-1) * (x + 3)
x + y + 8 = 0 ...........(Equation 2)
To find the coordinates of point E, we solve the system of equations formed by Equations 1 and 2. By solving these equations, we find that the coordinates of point E are [0, 1].
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in a classroom at time t = 0, a sphere is thrown upward at a 45 angle to the horizontal at time while the sphere is still rising it bounces off the ceiling elastically
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A sphere thrown upward at a 45-degree angle to the horizontal in a classroom elastically bounces off the ceiling while still rising
At time t = 0, a sphere is launched with an initial velocity at a 45-degree angle to the horizontal in a classroom. The sphere follows a parabolic trajectory as it rises due to the upward component of its initial velocity and experiences the downward pull of gravity. While the sphere is still ascending, it reaches the ceiling and collides with it.
During the elastic collision, the sphere's motion is reversed. It rebounds off the ceiling, changing its direction but maintaining its kinetic energy. As a result, the sphere starts descending with the same speed it had before the collision but in the opposite direction. The angle of descent will also be 45 degrees to the horizontal, mirroring the angle of the initial launch.
Throughout the entire process, neglecting air resistance, the total mechanical energy of the sphere is conserved since the collision with the ceiling is elastic.
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15.1 ÷ 1.04=
You get 55 points
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Answer:
23.8.
34 = (70:100)* 34 = (70* 34):100 = 2380:100 = 23.8. Now we have: 70 percent of 34 = 23.8.
Check these answers?
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1. The width is 7 1/9 feet
2. The number of containers is 10 9/16 containers
3. The length is 15/8 miles
4. 15/184 servings
How to determine the valueThe formula for determining the area of a rectangle is expressed as;
A = lw
Given that the parameters are;
A is the area of the rectangle.l is the length.w is the width of the rectangle.We have that;
1. Substitute the values
32 = 9/2w
Make the width subject of formula
32× 2/9 = w
Multiply the values
w = 64/9 = 7 1/9 feet
2. To determine the value, we have;
Area = 13/2 × 13/8
Multiply the values
Area = 169/16
Divide the values
Area = 10 9/16 containers
3. The area is 15/56
Width = 1/7
Then
Length = area/width
Length = 15/56 × 7/1
Multiply the values
Length = 15/8 miles
4. We have that;
1 serving = 5/4
then x = 46/3
cross multiply the values
x = 5/4 × 3/46
Multiply the values
x = 15/184 servings
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5. Show that the k-cycle (a1a2... ak) always has order k.
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The power k returns to the identity permutation and it is the smallest positive integer that does so, we can conclude that the k-cycle has order k.
To prove this, let's consider the k-cycle (a1a2...ak). This cycle represents a permutation where each element ai is mapped to the next element ai+1, and the last element ak is mapped back to the first element a1.
To determine the order of this k-cycle, we need to find the smallest positive integer n such that raising the k-cycle to the power n returns to the identity permutation.
When we raise the k-cycle to the power n, each element ai will be mapped to the element ai+n, where the addition is performed modulo k to ensure we stay within the cycle.
For n = k, we have ai+k ≡ ai (mod k) for all i, which means each element is mapped back to itself. Therefore, raising the k-cycle to the power k returns to the identity permutation.
Since the power k returns to the identity permutation and it is the smallest positive integer that does so, we can conclude that the k-cycle has order k.
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F(x)=5x + 4
When f(x) =54
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Answer:
274
Step-by-step explanation:
5(54)+4 = 274
What percent of students in grade 8 prefer to joun a dance club?
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The percent of students in grade 8 those who like to join dance club is equal to 25%.
Total number of students in grade 8 = 20
Total number of students of grade 8 join in dance club = 5
Percent of students of grade 8 prefer to join dance club
= ( total number of students prefer dance club ) / ( Total number of students in grade 8 ) × 100
Substitute the value in the formula we get,
⇒ Percent of students of grade 8 prefer to join dance club
= ( 5 ) / ( 20 ) × 100
⇒ Percent of students of grade 8 prefer to join dance club = 0.25 × 100
⇒ Percent of students of grade 8 prefer to join dance club = 25%
Therefore, percent of grade 8 students who preferred to join dance club is equal to 25%.
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The above question is incomplete, the complete question is:
What percent of students in grade 8 prefer to join a dance club?
Dance club Hiking club Total
Grade 7 15 15 30
Grade 8 5 15 20
Total 20 30 50
When people make estimates, they are influenced by anchors to their estimates. A study was conducted in which students were asked to estimate the number of calories in a cheeseburger. One group was asked to do this after thinking about a calorie-laden cheesecake. A second group was asked to do this after thinking about an organic fruit salad. The mean number of calories estimated in a cheeseburger was 780 for the group that thought about the cheesecake and 1,041 for the group that thought about the organic fruit salad. Suppose that the study was based on a sample of 20 people who thought about the cheesecake first and 20 people who thought about the organic fruit salad first, and the standard deviation of the number of calories in the cheeseburger was 128 for the people who thought about the cheesecake first and 140 for the people who thought about the organic fruit salad first.
a. State the null and alternative hypotheses if you want to determine whether the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.
b. In the context of this study, what is the meaning of the Type I error?
c. In the context of this study, what is the meaning of the Type II error?
d. At the 0.01 level of significance, is there evidence that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first?
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The study investigates whether thinking about a calorie-laden cheesecake influences lower calorie estimates for cheeseburgers compared to thinking about an organic fruit salad, and the results suggest evidence supporting lower estimates with the cheesecake group.
a. The null hypothesis (H0) is that the mean estimated number of calories in the cheeseburger is not lower for the people who thought about the cheesecake first compared to those who thought about the organic fruit salad first. The alternative hypothesis (Ha) is that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.
H0: μ_cheesecake ≥ μ_fruit salad
Ha: μ_cheesecake < μ_fruit salad
b. In the context of this study, a Type I error would occur if we reject the null hypothesis when it is actually true. In other words, it would be concluding that there is evidence that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first, when in reality there is no significant difference or the mean is actually higher.
c. In the context of this study, a Type II error would occur if we fail to reject the null hypothesis when it is actually false. It would mean not detecting a significant difference in the mean estimated number of calories in the cheeseburger between the two groups, even though there is a true difference and the mean is actually lower for the people who thought about the cheesecake first.
d. To determine if there is evidence that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first, we can perform a two-sample t-test. Since the standard deviations are known, we can use the z-test statistic. At the 0.01 level of significance, we compare the test statistic to the critical value.
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help me pls i have a test soon
Answers
Answer:
I believe it is true, false, true, true.
Step-by-step explanation:
there are no green marbles, there are way more yellow marbles then even blue and red combined, you could get a blue one being the odds 5/16, and there are only 2 red marbles so it is unlikely that you choose red. I hope this helps!
Answer:
true false true true
Step-by-step explanation:
there is no green marbles
you are most likely to get a yellow
blue marble is gonna be selected
there's only 2 red marbles low chance of getting choose.
help me with the question please
Answers
Answer:
I think it would be reflection because those triangles look very similar if not im sorry
Step-by-step explanation:
Brainlist maybe?
6x - 5y = 8
-12x + 2y = 0
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Answer:
the answer is in picture
Step-by-step explanation:
hope it will help you
PLEASE HELP! I need this asap
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Answer:
5.17
Step-by-step explanation:
just at 10 pecent
Answer:
I think that the third one is the correct answer , $4.94 i mean .
I need help with ANGLES!!!!!!!!!!
Answers
98% sure that's corresponding angles.
Answer:
corresponding angles
Step-by-step explanation:
Please help. Find the area of the figure below.
Answers
Answer:
81 un²
Step-by-step explanation:
9 · 7 = 63 un²
(b · h) ÷ 2
(5 · 4) ÷ 2 = 10 un²
(4 · 4) ÷ 2 = 8 un²
8 un² + 10 un² + 63 un²
81 un²
Answer:
81 un^2
Step-by-step explanation:
Find area of the rectangle. 9 x 7 = 63
Find area of the triangle. 9 x 4 = 36/2=18
63 + 18 = 81
which of the following statements is false? a.) the significance level is the probability of making a type i error. b.) a larger sample size would increase the power of a significance test. c.) the probability of rejecting the null hypothesis in error is called a type i error. d.) expanding the sample size can decrease the power of a hypothesis test.
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The statement false is:
Expanding the sample size can decrease the power of a hypothesis test.
The correct option is (d)
What is the significance level?The significance level is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference.
The level of statistical significance is often expressed as a p -value between 0 and 1. The smaller the p-value, the stronger the evidence that you should reject the null hypothesis. A p -value less than 0.05 (typically ≤ 0.05) is statistically significant.
The probability of making a type I error is α, which is the level of significance you set for your hypothesis test. An α of 0.05 indicates that you are willing to accept a 5% chance that you are wrong when you reject the null hypothesis.
The correct option is (d).
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giving Brainly show work
Answers
Answer:
Step-by-step explanation:
5 1/2 +2x = 25
25- 5 1/2 = 2x
19 1/2 = 2x
x = 9.75
It took him about 9.75 weeks to lose at least 25 pounds.
Answer:
10 or more weeks------------------
Weight lossFirst week - lost 5 and 1/2 pounds,Following weeks - lost 2 pounds per week,Total - at least 25 pounds.Set inequality and find the least whole number2w + 5.5 ≥ 252w ≥ 25 - 2.52w ≥ 19.5w ≥ 19.5/2w ≥ 9.75 ≈ 10It took Mr. Henry at least 10 weeks to lose 25 pounds.
If a food item with an original (AP) weight of 4 pounds at a cost of $1.10 per pound yields a servable weight of 2 pounds, what is the cost per servable pound for this food item? a. $0.50 b. $1.50 c. $2.20 d. $4.40
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Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.
The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.
The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):
Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.
Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.
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*LAST QUESTION, PLEASE HURRY AND ANSWER* What is the volume of the cone below? (Use 3.14 for pi)
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Answer:
The third: 5.32 cubic unitsStep-by-step explanation:
R = 1.52
H = 2.2
π = 3.14
\(V=\frac13\pi R^2\cdot H\\\\V=\frac13\cdot3.14\cdot(1.52)^2\cdot2.2=5.3200810\overline6\approx5.32\)
if you had 12.3 grams of carbohydrates, how many calories would that contribute per serving? do not round; give the absolute value.
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49.2 calories are in would that contribute per serving .
What does a calorie mean ?
Energy is measured in calories. When you hear something has 100 calories, it means that it has the potential to provide your body with that many calories of energy. Calories are the units of energy used by your body during food digestion and absorption. A food's ability to give your body energy depends on how many calories it contains.Carbohydrates provide 4 calories per gram.
1 gm Carbohydrates = 4 calories
then 12.3 gm Carbohydrates = 12.3 * 4
= 49.2 calories
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plz give me correct answer.....correct answer will be marked BRAINLIEST and be followed...
Answers
Answer:
a+b+c+d+e+f=540.
Angles in a triangle=180.
3 triangles=180×3=540.....
what’s the volume of the cylinder i need help
please !!!
Answers
Answer:
V= π ⋅ 4y^2 ⋅ 9x
Step-by-step explanation:
Put the variables from the picture into the equation
r=4y
h=9x
(^2 means squared)
Help me please I haven't been able to understand his stuff
Answers
This pattern is additive because when we add 6 to x we get y
12+6=18
24+6=30
48+6=54
60+6=66
so the answer is D
A wire that is 32 centimeters long is shown below.
The wire is cut into two pieces, and each plece is bent and formed into the shape of a square.
Suppose that the side length (in centimeters) of one square is x, as shown below.
A
(a) Find a function that gives the total area 4 (x) enclosed by the two squares (in
square centimeters) in terms of x.
(b) Find the side length x that minimizes the total area of the two squares.
Side length x centimeters
(c) What is the minimum area enclosed by the two squares?
Minimum area: square centimeters
Check
MO
di
8:
X
Answers
We are this cut into 32, that is, 32 centimeters long is cut into 2 pieces. So let's do that. First, we're going to cut this ore into 2 pieces, didn't say down the middle, so we're going to say this has a piece length of x, which means this piece is going to have a length of 32 minus x. So what we're going to do is we're going to take each 1 of these pieces. Let me get them in different colors here and we're going to make a square out of each 1 of those pieces so for the blue piece, we're going to have this square and for the green piece we're going to have a square. That'S a little bit longer and we want to know the function for the area. Well, let's see how for the area, then we're going to need to take sides squared, so we need to figure out what the sides are for each 1 of these squares. Well, since we're wrapping it around we're going to separate this into 4 separate pieces, so that's going to be x over 4 would be a length of that side. We'Re going to do the same thing here and get 32 minus x over 4. Wrapping that green around to get that particular length. So that means the area of this blue square is going to be x over 4 squared. The area of this green square is gonna, be 32 minus x over 4 squared. So our total area is going to be x over 4 squared plus 32 minus x over 4 squared. They now want us to minimize this. We have to simplify this. That'S gonna, be x, squared over 16 plus and that's going to be over 16 was 32 times. 32 poiokay 1024 minus 64 x plus x, squared all that's over 16 point, so it's going to end up being 2 x, squared minus 64 x plus 1024. Over 16 point. I want to make this a pretty polly. So im gonna make this x squared over 8 minus 4 x and then that's going to be 64 point. Well, we want to minimize the area i see here. We have a quadratic with a leading coefficient that is positive, so means we're going to have a parabola that opens down, so our vertex is going to be our minimum. We'Re going to look at that and say that our vertex is going to be negative b over 2 a when i look at this particular equation. I see that we have a coefficient of 1 eighth on my square term. That'S going to be my value of a and we have a negative 4 on our ex term. That'S going to be our value of b! So i'm going to substitute that here and get negative negative 4 over 2 times 18 point. So that's going to be 4 over 1. Fourth, which is going to be 116 point, so x is going to have a value of 116 point. What is going to be that area for we now need to take that 1 sixteenth and put it in place of x. So i'm going to do that in a of x. I winna get a of 116 point, so thats gonna be 1 eighth times 1. Sixteenth squared minus 4 times 1, sixteenth minus 64 point. So let's see what that's going to be. This should have been 16, not 116 point. So i'm going to go back and redo this with 16 point where's, my racer! Sorry about that gem! Reciprocal is mixed up. So that's gonna be 16 point. So let's see what that's going to be: that's going to be 1 over 8 times, 16 times 16 point. So that's going to be 32 point and then we're goin to have minus 64 minus 64 point something all right. So that should ave been a plus so were maximum area is going to be mum area.