9 cm
7 cm
7 cm
7 cm
The area of one of the bases of the above figure is about 21.2 cm2. The
surface area of the figure is?
A. 273.4 cm2
B. 210.4 cm2
C. 231.4 cm2
D. none of the above

Answer:

256 ft^2

Step-by-step explanation:

1. Find the base's area. 6 ft x 13 ft = 78 ft ^2

2. Find the area of one of the sides (if you know what I mean). 13 ft x 5 ft = 65 ft ^2

3. Find the area of the front (it's the triangle). 6 ft x 4 ft = 24 ft ^2 (no need to times by 1/2)

4. Before we add them all together, there are two of the sames sides that have an area of 65 ft (^2), so you add them twice. Same goes to the triangles (because there is one triangle in the front and one on the back).

5. Add.

     65 ft ^2 + 65 ft ^2 + 78 ft ^2 + 24 ft ^2 + 24 ft ^2 = 256 ft^2

Answer:

B

Step-by-step explanation:

Base area = (length x height)/2 = (6 x 4)/2 = 12 ft^2

Base perimeter = (side 1 + side 2 + side 3) = 6 + 5 + 5 = 16 ft

LA = base perimeter x 13 = 16 x 13 = 208 ft^2

SA = (base area x 2) + LA = 24 + 208 = 232 ft^2

Answer:

Statement:-                   Reason:-

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Answer:

OPtion B

Step by step explanation:

Lets plug in a random value for x.

Lets say 5 is x

-8(-5-5)=(y+1)^2

5-5 = 0

-8(0) = 0

0 = (y+1)^2

Square root of both sides

0 = y+1

subtract one from both sides

-1 = y

that means the x is 5 and the y is -1. Option B illustrates exactly that!

Answer:

[tex]P(B|A)[/tex]

Step-by-step explanation:

Probability notation:

Suppose that we have two events, event A and event B. The probability of event B occuring, considering that event A has occurred, is given by:

[tex]P(B|A)[/tex], which is the answer to this question.

Answer:

The p-value of the test is 0.0007 < 0.05, indicating that the the snowfall for the 1993-1994 winters was higher than the previous 20-year average.

Step-by-step explanation:

20-year mean snowfall in the Denver/Boulder region is 28.76 inches. Test if the snowfall for the 1993-1994 winters has higher than the previous 20-year average.

At the null hypothesis, we test if the average was the same, that is, of 28.76 inches. So

[tex]H_0: \mu = 28.76[/tex]

At the alternate hypothesis, we test if the average incresaed, that is, it was higher than 28.76 inches. So

[tex]H_1: \mu > 28.76[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

28.76 is tested at the null hypothesis:

This means that [tex]\mu = 28.76[/tex]

Standard deviation of 7.5 inches. However, for the winter of 1993-1994, the average snowfall for a sample of 32 different locations was 33 inches.

This means that [tex]\sigma = 7.5, X = 33, n = 32[/tex].

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{33 - 28.76}{\frac{7.5}{\sqrt{32}}}[/tex]

[tex]z = 3.2[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 33, which is 1 subtracted by the p-value of z = 3.2. In this question, we consider the standard level [tex]\alpha = 0.05[/tex].

Looking at the z-table, z = 3.2 has a p-value of 0.9993.

1 - 0.9993 = 0.0007

The p-value of the test is 0.0007 < 0.05, indicating that the the snowfall for the 1993-1994 winters was higher than the previous 20-year average.

Answer:

(3x + 4)^2

Step-by-step explanation:

9x^2 + 24x + 16

Let's use middle term break method to factor this polynomial.

In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.

we nee two number which give 144 wh3n multiplied and 24 when added.So, 12 and 12 is the number because 12*12=144 and 12+12=24.

9x^2 + (12+12)x +16

9x^2 +12x +12x +16

take common

3x(3x + 4) +4(3x +4)

take (3x + 4) as common

(3x +4)(3x*1 +4*1)

(3x +4)(3x +4)

(3x +4)^2

Answer:

2 (17+12x)

Step-by-step explanation:

See image below:)

Answer:

I am 28/63

Step-by-step explanation:

4 * 7 = 28

9 * 7 = 63

Therefore, 4/9 is equivalent to 28/63.

Answer:

x10

Step-by-step explanation:

BE=1/2 * CD

x=CB/2

x=20/2

x=10

Step-by-step explanation:

2b²=2.83

b²=1.415

b=1.18953

Answer:

120

Step-by-step explanation:

all you have to do is multiply the length, width, and height.

5x8=40

40x3=120

Hope this help!!!

Have a nice day!!!

Answer:

Sixteen

Step-by-step explanation:

My birthday was on Saturday and I turned 21 bro I hope you good

Answer:

x=11

Step-by-step explanation:

Answer:

C. 160degrees

Step-by-step explanation:

Find the diagram attached

From the diagram;

<P = 1/2(arcRS - arcQT)

Given the following

arcQT = 50degrees

<P = 55 degrees

Required

arcRS

55 = 1/2(arcRS - 50)

2*55 = arcRS - 50

110 = arcRS - 50

arcRS = 110 + 50

arcRS = 160degrees

Hence the measure of arcRS is 160degrees

Answer:

= -4

Step-by-step explanation:

(-5) + (-2 + 3) =

(-5) + (1) =

= -4

Hope this helps

Answer:

It's B (1÷13=3) for Part a

1 whole is equal to 3/3. One batch of brownies uses up to 1/3 of butter. So 1 ÷ 1/3 = 3.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Yeah buddy

Step-by-step explanation:

Cabs here cabs here cabs here cabs here cabs here

Answer:

90

Step-by-step explanation:

18 out of 30 watched tv

150/30 = 5

18/30 = (18 * 5)/(30 * 5) = 90/150

Answer: 90

Answer:

6

Step-by-step explanation:

Answer:

2x

Step-by-step explanation:

The volume of the cylinder is given by the following formula:

pi.r².h

4pix³ = pi x r² x x

r² = 4pix³/pix

r² = 4x²

Rooting both sides

r = 2x

r=2x is the expression represents the radius of the cylinder.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that volume of a cylinder is 4πx³ cubic units and its height is x units.

We need to find the expression which  represents the radius of the cylinder.

The volume of the cylinder is given by the following formula:

π.r².h

4πx³ = π x r² x x

Divide both sides by π x

r² = 4πx³/πx

r² = 4x²

Take square root on both sides

r = 2x

Hence, r=2x is the expression represents the radius of the cylinder.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ5

Answer:

around 432000 people have straight A's.

around 496800 people have at least one B/B's.

Step-by-step explanation:

[tex]\frac{4.6}{5} = \frac{x}{5400000}\\\\5x = 2484000\\\\\frac{5}{5}x = \frac{2484000}{5} \\x = 4968000\\\\5400000 - 4968000 = 432000\\\\[/tex]

around 432000 people have straight A's.

around 496800 people have at least one B/B's.

Answer:

it equals 2000 mililiters

Step-by-step explanation:

Answer:

5, 2, -1

Step-by-step explanation:

for future reference they repeat after the middle number (in this case 10) the number all repeat just in backwards order

Answer:

35×7=56 is a AWNSER djndhei

Answer:

Jordan wins the second race.

Step-by-step explanation:

Jordan and Amari run a 200-meter race, and Jordan wins by 23 meters.

This means that while Jordan ran 200 meters, Amari will have ran 200 - 23 = 177 meters.

Thus, for each meter that Jordan runs, Amari runs 177/200 = 0.885 meters.

Second race:

Jordan starting 23 meters behind the starting line, and thus, he will have to run 200 + 23 = 223 meters.

When Jordan reaches the finish line, having ran 223 meters(200 + 23 behind), Amari will have ran 223*0.885 = 197.335 meters(< 200, so he will not have reached the finish line), and thus, Jordan wins the second race.

Answer: hello your question is poorly written attached below is the complete question

answer:

since y1 = 1/2 y2 on ( 0,1 ) the function are linearly dependent on ( 0,1 ) ( B )

Step-by-step explanation:

First step : Determine if y1 and y2  are linearly dependent

interval = ( 0,1 )

Functions: y1 = sin t cost t ,   y2 = 4 sin t

We can verify if these functions are linearly independent or linearly dependent by using the determinate form

attached below is the detailed solution

From the attached solution we can conclude that

y1, y2 is linearly dependent on ( 0,1 )

hence ; since y1 = 1/2 y2 on ( 0,1 ) the function are linearly dependent on ( 0,1 )