The value of x is,
⇒ x = 21.65
We have to given that,
A right triangle is shown in image.
Since, The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Hence, We get;
⇒ 25² = 12.5² + x²
⇒ 625 = 156.25 + x²
⇒ x² = 625 - 156.25
⇒ x² = 468.75
⇒ x = 21.65
Thus, The value of x is,
⇒ x = 21.65
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Refer to Where Is Niagara Falls? for a complete version of this text.
In Chapter 3, people realize that building a bridge across the gorge of Niagara Falls will bring more tourists to the area.
Which detail best explains why building the first bridge to cross the gorge is such a difficult task?
“Even at the narrowest spot, the gorge was eight hundred feet wide.”
“But there was still one thing missing—something the businessmen knew they needed.”
“A ferryboat was built to take people from the US side to Canada.”
“…tourists had a perfect view of some of the crazy, dangerous things some people would soon do…”
Answer:
Step-by-step explanation:
the answer is B, i just took a test on that and got that question right, trust me!
Answer:
B
Step-by-step explanation:
Did test
find the area of the sector in bold. Round the answer to the nearest 10th.
EXPLANATION:
We are given a circle with a major sector and a minor sector.
The major sector has a central angle measuring 315 degrees and a radius of 13km..
We are required to calculate the area of the sector in bold, that is, the MAJOR SECTOR.
First of all, the area of a sector is given by the formula;
\(Area=\frac{\theta}{360}\times\pi r^2\)The variables here are;
\(\begin{gathered} \theta=central\text{ }angle \\ r=13 \\ \pi=3.14 \end{gathered}\)We can now substitute the given values and calculate as follows;
\(Area=\frac{315}{360}\times3.14\times13^2\)\(Area=\frac{7}{8}\times3.14\times169\)\(Area=464.3275\)Therefore, we round this to the nearest tenth and we'll have;
ANSWER:
\(\begin{gathered} Area\text{ }of\text{ }sector\text{ }in\text{ }bold: \\ A=464.3km^2 \end{gathered}\)This cube has a volume of 1 millimeter.what is the side Length of the cube
Answer:
1 milimiter
Step-by-step explanation:
that the answer
The points J (9,7), K (2,1), L(0,−8) and M (7,−2) form quadrilateral JKLM.
Plot the points
slope of JK =
length of JK =
slope of KL =
length of KL =
slope of LM =
length of LM =
slope of MJ =
length of MJ =
Quadrilateral JKLM can BEST be described as
Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.
To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:
J(9, 7) K(2, 1)
L(0, -8) M(7, -2)
To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.
Slope of JK:
Slope (m) = (change in y) / (change in x)
m(JK) = (7 - 1) / (9 - 2) = 6/7
Length of JK:
Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]
d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85
Slope of KL:
m(KL) = (-8 - 1) / (0 - 2) = -9/2
Length of KL:
d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85
Slope of LM:
m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)
Length of LM:
d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85
Slope of MJ:
m(MJ) = (7 - (-2)) / (9 - 7) = 9
Length of MJ:
d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40
Based on the calculations, we can describe quadrilateral JKLM as follows:
The slope of JK and LM is 6/7.
The slope of KL is -9/2.
The slope of MJ is 9.
The length of each side (JK, KL, LM, MJ) is √85.
The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.
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please help asap
Solve: √x+3=√x+5.
Answer:
Simplify by adding like terms and getting rid of square root.
√x+3=√x+5
Subtract 3 and get like terms
√x = √x + 2
Subtract √x (we actually don't need to square)
0 = 2
This equation is false.
Unless you mean sqrt(x+3) = sqrt(x+5)
Then it simplifies to false aswell.
There are no true values for X/ No solution
please help me answer these questions :(
Answer:
a) ∠X = 67.4°
ii) ∠Y = 22.6°
b) Hypotenuse = 13 miles
ii) Length of each congruent = 4.33 miles
c) Distance of mall from point A = 5.21 miles
d) Distance os mall from point B = 8.17 miles
e) Difference = 2.96 miles
ii) Amount it will cost = $1,628,000
Step-by-step explanation:
Because of the length of the solution, I sent it as an attachment to this answer.
multiply 3 4/7 x 2 1/5 answer with a mixed number in simplest form
Write an equation that represents a relationship that is not
proportional when m= 3 and b= -6.
Answer:
y=3x+-6
Step-by-step explanation:
plug it into y=mx+b form
hope this helps
mark brainiest pls
One kilogram is approximately 2.2 pounds. Write a direct variation equation that relates x kilograms to y pounds.
I need help please.
Answer:
x = 2.2y
Step-by-step explanation:
Given that,
1 kg = 2.2 pounds
We know that, the relation between kg and pounds is given by :
1 kg = 2.2 pounds
The variation equation can be given by :
Let x denotes kg and y denotes pounds.
So,
x = 2.2y
Hence, the variation is x = 2.2y.
the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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Need help with algebra 1b hw due at 8:39 am. Will pay anyone who helps with correct answers and shows work.
Answer:how much you paying
Step-by-step explanation:
Is 1/6 rational or irrational
Question 2
What does the flow of electricity require?
A
conductors and an open circuit
B
insulators and an open circuit
C
conductors and a closed circuit
D
insulators and a closed circuit
Answer:
a
Step-by-step explanation:
WILL GIVE BRAINLIEST ‼️ The graph represents the piecewise function:
Answer:
\(f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.\)
Step-by-step explanation:
You can find the first function if you know the general form of a line:
\(y = mx + b\)
where \(m\) is the slope and \(b\) the intercept point with the \(y\)-axis.
So in the first case the slope is 1 because the next formula
\(m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2-0}{-1+3} = 1\)
And you can find the interception point if extend the line, then in our case is 3.
So the function is:
\(f(x) = x + 5\)
In the other case is constant function that's mean that the function has the next form
\(f(x) = k\)
Where \(k\) is a constant.
So you only have to observe what is the value for each point in the interval, in this occasion is 5.
So the final answer is:
\(f(x) = \left \{ {{x + 3} \quad \text{if} \ -3 \leq x < -1\atop {5} \quad \text{if} \ -1 \leq x \leq1} \right.\)
Please answer this word problem
Step-by-step explanation:
l=24in.+w
l=24in.+wwe know that the perimeter of a rectangle is given by formula
l=24in.+wwe know that the perimeter of a rectangle is given by formulaP=2(l+w)
l=24in.+wwe know that the perimeter of a rectangle is given by formulaP=2(l+w)180=2(l+w)
plugg in the value of l in the second equation.
\(180 = 2(24 + w) + 2w \\ 180 = 48 + 2w + 2w \\ 180 - 48 = 4w \\ 132 = 4w \\ \frac{4w}{4} = \frac{132}{4} \\ w = 33\)
\(l = 24 + 33 \\ l = 57\)
HOPE THIS HELPS
LAST OPTION IS THE ANSWER
Subtract and write your answer in simplest form. please help!!
After subtracting the given fractions and reducing it to lowest fraction, the answer will be 2/5.
We have been given two fractions 7/10 and 3/10 and we have to subtract them. As the denominators are same, we will simply subtract the numerators.
Subtraction of numerators = 7 - 3 = 4.
So, our answer will be 4/10 and now we will reduce it to smallest fractions which will be 2/5. Hence, our final answer is 2/5.
Subtraction of two or more fractions with the same or distinct denominators is referred to as fraction subtraction. Like fractions can be subtracted immediately, while unlike fractions need us to first match the denominators and then subtract them.
A fraction is a component of a complete amount in mathematics. The total amount can be any integer, special value, or item.
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HELPPP PLEASE URGENT!!
Evaluate the expression when x = 3/4 and y= - 1/2: 2x +y
Answer:
1
Step-by-step explanation:
2(3/4)-1/2=
The 2 cancels out the 4 making it 3/2.
3/2-1/2=2/2
=1
60ft by 60ft wall and a mirror that’s 60ft by 20ft the mirror covers wat percent of the wall?
Answer:
okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.
Step-by-step explanation:
HELPPPPP SUPER FAST!
Answer:
518
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
8d³ + 16e² ÷ f - 2
d = 4, e = 2, f = 8
Step 2: Evaluate
Substitute in variables: 8(4)³ + 16(2)² ÷ 8 - 2Exponents: 8(64) + 16(4) ÷ 8 - 2Multiplication: 512 + 64 ÷ 8 - 2Division: 512 + 8 - 2Addition: 520 - 2Subtraction: 518Which system of equations is graphed below?
If a truck used 25 gallons to travel 375 mies, how many miles would it travel on 4 gallons of gas?
Answer:
93.75 miles if im not mistaken
Step-by-step explanation:
because the most miles is 375 so you would divide that number by four to see how many miles u can go before filling up again.
Help me urgent please
Answer:
1/4
Step-by-step explanation:
\( \frac{1}{10} \times 2 = \frac{2}{20} \\ \frac{2}{20} + \frac{3}{20 } = \frac{5}{20} \div 5 =\frac{1}{4} \)
A rectangle is 2 4/5 meters wide and 3 1/2 meters
long. What is its area?
Answer: Area = l × w
= 3.5 × 2.8
= 9.8 meters2
Step-by-step explanation:
1. 5(2a-b)
2.7(3x+y)-(2x -y)
3.(a+4) (a+3)
4.(5x+y) (2x+3y)
5.(m+n) (m-n)
6.(p- 2q) (p-2q)
Answer:
1. 10a - 5b
2. 19x + 8y
3. a2 + 7a + 12
4. 10x2 + 17xy + 3y2
5. m2 - n2
6. p2 - 4pq + 4q2
outt of every 5 students surveyed 2 listen to country music . At that rate how any students in a school of 800 listen to country music?
Answer:
80
Step-by-step explanation:
800/5= 160
take the results and divide it by 2 and you get 80.
what could be the value of the point grafted only number line between 0.09 and 0.10
x-intercept of 3 and y-intercept of 8
How do you write a lunar equation given this information and how do you write the equation in slope form
Answer:
y = -8/3x + 8
Step-by-step explanation:
Step 1: Identify which values we have and need to find in the slope-intercept form:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) is any point,m is the slope,and b is the y-intercept.Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.
Step 2: Find m, the slope of the line:
Since the x-intercept is 3, the entire coordinates of the x-intercept are (3, 0)Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:
0 = m(3) + 8
0 = 3m + 8
-8 = 3m
-8/3 = m
Thus, the slope is -8/3.
Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.
Optional Step 3: Check the validity of the answer:
We know that the entire coordinates of the x-intercept are (3, 0) and the entire coordinates of the y-intercept are (0, 8).Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:
Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:
0 = -8/3(3) + 8
0 = -24/3 + 8
0 = -8 = 8
0 = 0
Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;
8 = -8/3(0) + 8
8 = 0 + 8
8 = 8
Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.
How do you use distributive property to solve 3,649 x 6
Answer:
21894
Step-by-step explanation:
So, since we want to use the distrubutive property, we ant to simplify 3,649
3000+600+40+9
now, multiply 6 to each one of those numbers:
18000+3600+240+54
add them together to get one number
21894
And that's how I think it's done.
Given the equation 2x+3y=6. Write the equation of the line in slope-intercept form.