Answer:
∠ DFG = 48°
Step-by-step explanation:
the central angle is equal to the measure of the arc that subtends it.
since EOG is the diameter of the circle with central angle of 180° , then
arc EG = 180°
the inscribed angle EGD is half the measure of the arc ED that subtends it, so
arc ED = 2 × ∠ EGD = 2 × 42° = 84° , then
ED + DG = EG , that is
84° + DG = 180° ( subtract 84° from both sides )
DG = 96°
Then
∠ DFG = \(\frac{1}{2}\) × EG = \(\frac{1}{2}\) × 96° = 48°
A class sold tickets to their school play. Each of the 23 students in the class sold 4 tickets. The cost of each ticket was 7$
Answer:
if the question is "how much money they got all of them combine" then it's $644
Step-by-step explanation:
23 students sold 4 tickets each which cost 7
23×3×7
3/5 * 5/7 / 3/14 - 2/5
Answer:
3/5*5/7*14/3-2/5
8/5...
When -1< k< 1
Choose an answer below.
A. For f(kx), there will be a vertical compression by a factor of 1/k. For kf(x), there will be a horizontal stretch by a factor of k.
B, For f(kx), there will be a vertical stretch by a factor of 1/k. For kf(x),there will be a vertical compression by a factor of k.
C. For f(kx), there will be a horizontal stretch by a factor of 1/k. For kf(x) there will be a horizontal compression by a factor of k.
D. For f(kx), there will be a horizontal stretch by a factor of 1/k. For kf(x), there will be a vertical compression by a factor of k.
The correct option regarding the transformations of the functions is given as follows:
B. For f(kx), there will be a vertical stretch by a factor of 1/k. For kf(x),there will be a vertical compression by a factor of k.
Stretching and compressionThe stretching and compression can be either horizontal or vertical, as follows:
Horizontal: f(kx).Vertical: kf(x).The constant k is the factor of the stretch or of the compression. In this problem, the constant assumes values with an absolute value less than 1, hence:
f(kx) is an horizontal stretch by a factor of 1/k;kf(x) is a vertical stretch by a factor of k.Hence the correct option regarding the transformations is given by option b.
More can be learned about transformations at https://brainly.com/question/28792248
#SPJ1
A bottle of water has a diameter of 3 inches and a height of 8 inches, and a mass of 1250 g. What is the volume and density?
The volume of the bottle is 56.52 cubic inches, and the density is 22.12 g/in³.
What is the volume and density of the bootle water?The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 ).
Density is expressed mathematically as;
p = m / v
Where m is mass and v is volume.
Given that:
Diameter = 3 in
Radius r = diameter/2 = 3/2 = 1.5 in
Height h = 8 in
Mass m = 1250 g
Find the volume:
V = π × r² × h
V = 3.14 × (1.5 in )² × 8in
V = 56.52 in³
Find the density:
p = m / v
p = 1250g / 56.52 in³
p = 22.12 g/in³
Therefore, the density is 22.12 g/in³.
Learn more about density here: brainly.com/question/952755
#SPJ1
how do you solve this as a solution 9(2 + 3x) < 72
Answer:
x <2
Step-by-step explanation:
9(2 + 3x) < 72
Divide each side by 9
9/9 *(2 + 3x) < 72/9
2+3x < 8
Subtract 2 from each side
2+3x-2 < 8-2
3x<6
Divide each side by 3
3x/3 <6/3
x <2
Can someone Please help me !! I need some help Asap!!!
The perimeter of the figure is 96.9 inches which has semicircle.
The diameter of the semicircle is 21.25 inches
We have to find the perimeter or circumference of the semicircle
Radius of semicircle = 21.25/2
=10.62
Circumference = (πr + 2r)
=3.14×10.62 + 2(10.62)
=33.35 + 21.24
=54.59
Perimeter of the figure is 54.59+20.91+21.4 is 96.9 inches
Hence, the perimeter of the figure is 96.9 inches which has semicircle.
To learn more on Perimeter click:
https://brainly.com/question/7486523
#SPJ1
If average of 3 quantities is 15 , sum of quantities is....?
Answer:
45
Step-by-step explanation:
Let the three quantities be x, y and z.
\( \because \: average = \frac{sum \: of \: quantities}{no \: of \: quantities} \\ \\ \therefore \: 15 = \frac{x + y + z}{3} \\ \\ 15 \times 3 = x + y + z \\ \\ \huge \purple{ 45 = x + y + z}\)
2x-3\(\geq\) 0
Answer:
x ≥ 1.5
Step-by-step explanation:
2x - 3 ≥ 0 ( add 3 to both sides )
2x ≥ 3 ( divide both sides by 2 )
x ≥ 1.5
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 33 33 hours and the median is 29.2 29.2 hours. Twenty-four of the families in the sample turned on the television for 18 18 hours or less for the week. The 16th percentile of the data is 18 18 hoursApproximately how many families are in the sample?
There are \(150\) families in the sample.
Mean of the data \(= 33\) hours.
Median of the data \(= 29.2\) hours.
\(24\) families in the sample turned on the television for \(18\) hours or less for the week.
The \(16\)th percentile of the data is \(18\) hours.
Let \(x\) be the number of families in the sample.
So, size of the sample :
\(\frac{16}{100} \times x = 24\)
\(x=\frac{24 \times 100}{16}\)
\(x=150\)
So, there are \(150\) families in the sample.
Learn more about this here:
https://brainly.com/question/14817279
Use the Pythagorean theorem to solve for the missing side
Answer:
13
Step-by-step explanation:
a2+b2=c2
12^2+5^2=c^2
144+25=169
square root of 169
13
3. Determine the x-intercept and y-intercept for the equation containing the following ordered pairs:
(-10,-32) (-5, -24) (0, -16) (5,-8) (10,0)
Answer:
Step-by-step explanation:
X-intercepts are: (-10,-5,0,5,10)
Y-intercepts are: (-32,-24,-16,-8,0)
Someone please help look at the picture please anything would help
helpp mee plss i’ll give brainliest
Answer:
1\9
Step-by-step explanation:
probability of picking 6 once is 1/3
then picking 6 again would be 1/9
Which BEST analyzes the nuances of word choice in line 21 of this play
excerpt?
The use of the word "customary" by Algernon signals
to the audience that necessary background
A
information will follow in order to help explain the
refreshment choices offered by Lane
The stage direction indicating that Algernon is to
B)
express his line "stiffly" is meant to help the audience
recognize the character's sense of being offended by
a previous comment made by Jack
The question that is presented by Algernon functions
as a subtle warning to Jack that Algernon suspects
him of misdeeds and has heard unsettling gossip
about Jack's activities over the last week
Algernon uses the words "slight refreshment' to
D)
emphasize the idea that Jack should not expect the
amount or variety of foods available at a formal
dinner during his brief visit to Half-Moon Street.
C
Answer: C
Step-by-step explanation:
A straight line is given as 2 x+4 -2 y-5=-3 z-6 (a) Determine the vector equation of the straight line. (b) Find the intersection point between the straight line with the plane yz
Answer:
a) r(t) = (10, 5, -5) + (5, 5, 0)*t
b) (0, -5, -5)
Step-by-step explanation:
a) 2x + 4 -2y -5 = -3z -6
2x - 2y +3z +5 =0
(10, 5, -5)
(15, 10, -5)
(5, 5, 0)
r = (10, 5, -5) + (5, 5, 0)*t
b) The yz plane is given by the equation x = 0.
x = 0 in the vector equation of a straight line if and only if t = -2, than r ( - 2) = (0, -5, -5) is the desired intersection point.
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The two equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p include the following:
B. 2.3p – 10.1 = 6.49p – 4
C. 230p – 1010 = 650p – 400 – p
How to determine the required equations?From the information provided, we have the following equation:
2.3p – 10.1 = 6.5p – 4 – 0.01p
Next, we would simplify the given equation by collecting like terms as follows;
2.3p - 10.1 = 6.5p - 0.01p - 4 = 6.49p - 4
2.3p - 10.1 = 6.49p - 4
What is the multiplication property of equality?In Mathematics, the multiplication property of equality states that both sides of an equation will remain the same and equal, when both sides of the equations are multiplied by the same number.
By multiplying both sides of the given equation by 100, we have;
100 × (2.3p - 10.1) = 100 × (6.5p - 4 - 0.01p)
230p - 1010 = 650p - 400 - p
Read more on multiplication property of equality here: brainly.com/question/17565345
#SPJ1
The photo is kinda blurry but please help me with it
The perimeter of rectangle M'N'O'P' is given as follows:
54 cm.
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The ratio between the areas is given as follows:
126/14 = 9.
The area is measure in square units, while the perimeter is measured in units, hence the ratio of the perimeters is the square root of the ratio of the areas, that is:
3.
Hence the perimeter of rectangle M'N'O'P' is given as follows:
3 x 18 = 54 cm.
Missing InformationThe complete problem is:
Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm2. After rectangle MNOP is dilated, rectangle M'N'O'P' has an area of 126 cm2. What is the perimeter of rectangle M'N'O'P'?
More can be learned about dilation at brainly.com/question/3457976
#SPJ1
The diameter of each wheel of a bicycle is 26 inches. If you are traveling at a speed of 30 miles per hour on this bicycle, through how many revolutions per minute are the wheels turning?
30 ÷ 60 = .5 mile per minute
the diameter of the wheel is 26 inches
circule perimeter = 2 pi r
r = 1/2 d = 13 inch
circule perimeter = 81.7 inches
half mile = 31680 inch
31680 ÷ 81.7 = 387. 76 revolutions per minute
Which one
18ft
26ft
70ft
96ft
Answer:
c. 70ft²
Step-by-step explanation:
Area of wall needed to be painted
= (12×8) - (2×2×2) - (3×6)
= 96 - 8 - 18
= 70ft²
11. x and Y are complementary angles and Tan x = 3√3. Find the value of
\( \frac{1}{2 - tan \: y\\ } \)
Hence rationalise the surd
Answer:
\(\frac{1}{2-tan(y)} = \frac{3\sqrt{3}}{6\sqrt{3}-1}\)
After Rationalising:
\(\frac{1}{2-tan(y)} = \frac{54 +3\sqrt{3}}{107}\)
Step-by-step explanation:
tan(x) = 3√3
x + y = 90 (complimentary angles)
⇒ x = 90 - y
tan(\(\frac{\pi}{2}\) - θ) = cot(θ)
⇒ tan(90 - θ) = cot(θ)
⇒ tan(90 - y) = cot(y)
⇒ tan(x) = cot(y)
⇒ cot(y) = 3√3
⇒ \(\frac{1}{tan(y)}\) = 3√3
⇒ tan(y) = \(\frac{1}{3\sqrt{3}}\)
\(2-tan(y) = 2 - \frac{1}{3\sqrt{3}} \\\\= \frac{2*3\sqrt{3} -1}{3\sqrt{3} } \\\\= \frac{6\sqrt{3} -1}{3\sqrt{3} }\\\\\\\implies \frac{1}{2-tan(y)} \\\\= \frac{3\sqrt{3}}{6\sqrt{3}-1}\)
Multiply and divide by : 6(√3) + 1
\(\frac{3\sqrt{3}}{6\sqrt{3}-1}\frac{6\sqrt{3}+1}{6\sqrt{3}+1}\\ \\= \frac{(3*6*\sqrt{3}*\sqrt{3}) + 3\sqrt{3}}{6^2 * (\sqrt{3})^2 -1^2}\\\\= \frac{18*3 +3\sqrt{3}}{36*3 -1}\\\\= \frac{54 +3\sqrt{3}}{108-1}\\\\= \frac{54 +3\sqrt{3}}{107}\)
standard form. (x+8)(x−6)
Answer:
x^2-2x-48
Step-by-step explanation:
FOIL
Firsts = x*x = x^2
outside = x*-6 = -6x
inside = 8*x = 8x
lasts = 8*-6 = -48
add all together x^2-6x+8x-48 = x^2-2x-48
Answer:
x² + 2x - 48
Step-by-step explanation:
( x + 8 ) ( x - 6 )
= x ( x - 6 ) + 8 ( x - 6 )
= x*x - 6*x + 8*x + 8*( - 6 )
= x² - 6x + 8x - 48
= x² + 2x - 48
Use the scenario to choose the correct answers. Complete Steps 1-2 in order.
A company records its sales for each year.
9. Step 1: Find the equation of the line of regression
y=ax+b
y=3.7 x+8.5
y=8.5 x+3.7
y=-8.5 x+3.7
y=-3.7 x+8.5
10. Step 2: Use the regression line as a model to estimate the sales of the company in 2022.
71.7 million dollars
64.3 million dollars
85 million dollars
38.1 million dollars
9. The regression line is given as follows: y = 8.5x + 3.7.
10. The estimate for 2022 is given as follows: 71.7 million dollars.
How to obtain the regression line?The regression line is obtained inserting the points of the table into a linear regression calculator.
From the table, the points are given as follows:
(1, 13), (2, 19), (3, 31), (4, 36), (5, 47).
(considering x as the number of years since 2014).
Inserting these points into a calculator, the equation is given as follows:
y = 8.5x + 3.7.
2022 is 8 years after 2014, hence the estimate is given as follows:
y = 8.5(8) + 3.7 = 71.7 million dollars.
(numeric value at x = 8, replace the lone instance of x by 8).
More can be learned about linear regression at https://brainly.com/question/29613968
#SPJ1
3) Which value below would
have the most dots on a line
plot?
3
6.25
4.25
3
Your answer
6.5
6.25
3 co
3.5
6.5
4.25
* 1 point
5
4.25
7.25
5.5
The value that would have the most dots on a line plot is given as follows:
4.25.
What is a dot plot?The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.
A line plot is built from the dot plot, in which:
The input is each observation of the data-set.The output is the number of dots on the data-set.Hence the value 4.25 is the value in this problem that would have the most dots in a line plot, as it is the value that appears the most times in the data-set (only value to appear three times).
More can be learned about dot plot at brainly.com/question/29660457
#SPJ1
During a party, Eli loses a bet and is forced to drink a bottle of lemon juice. Not long thereafter, he begins complaining of having difficulty breathing, and his friends take him to the local emergency room. His blood pH is 7.28. What does this mean
Answer:
It means acidosis.
Step-by-step explanation:
When the pH level of the human blood is less than 7.35, the condition is known as acidosis.
When the pH level of the human blood is more than 7.45, the condition is known as alkalosis.
The organs which help to regulate the pH of human body is lungs.
Lungs remove the carbon di oxide through breathing or respiration.
there are 30 cupcakes in a tin. 16 of the cupcakes are iced of which 3 contain walnuts. 5 cupcakes are neither iced nor contain walnuts. work out the probability that the cupcake picked at random contains walnuts
The probability that the cupcake picked at random contains walnuts is given as follows:
0.4 = 40%.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:
30.
The number of cupcakes with walnuts is given as follows:
3 that are also iced.30 - (16 + 5) = 9 that are not iced.Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:
p = (3 + 9)/30
p = 12/30
p = 0.4.
More can be learned about probability at https://brainly.com/question/24756209
#SPJ1
Find the area of the SHAPE™
Answer:
132
Step-by-step explanation:
28(top rectangle) + 56 (middle rectangle)+ 48 ( which is the combined area of the two triangles) = 132
Sidney bought to magazines that were each $4.95
Step-by-step explanation:
If you are multiplying it may be
9.9If you are dividing it may be
2.475You didn't add the full question so I don't know what you are asking, but this may help.How many cubic centimeters are there in 24 cubic meters?
A.40,000 cm³
B.24,000,000 cm³
C.None of these choices are correct.
D.2,400,000 cm³
E.24,000 cm³
Answer:
C none of the answer is correct 24m³–cm³ is 2400cm³
Ed has 2 green apples and 6 red apples in a bag. He
randomly grabs an apple for his friend and then randomly
grabs another apple for himself. What is the probability
that they both get a red apple?
The probability that they both get a red apple is, 15/28
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
The probability of Ed's friend grabbing a red apple is,
= 6 red apples / (2 green apples + 6 red apples)
= 6/8
= 3/4.
Then, the probability of Ed grabbing a red apple from the remaining apples is,
= 5 red apples / (2 green apples + 5 red apples)
= 5/7.
So, the probability that both Ed and his friend get a red apple is,
= 3/4 x 5/7
= 15/28
Hence, the probability is 15/28
To know more about Probability check:
https://brainly.com/question/30034780
#SPJ9
The function F is given in 3 equivalent forms.
Which form most quickly reveals the y intercept?
Look at image below
Part 2: what is the y intercept?
The form that most quickly reveals the y intercept is
B f(x) = 1/2 x² - 5x + 21/2The y intercept is (0, 21/2)
What is y-intercept?The y-intercept is the point where a function or a curve intersects the y-axis. In other words, it is the value of the dependent variable (y) when the independent variable (x) is equal to zero.
In the form, f(x) = 1/2 x² - 5x + 21/2 it is easier to see that eliminating x by plugging in 0 leaves 21/2 which is the y intercept
hence we can easily say that the y intercept is (0, 21/2)
Learn more about y-intercept at
https://brainly.com/question/10606087
#SPJ1