What is the surface area of a trapezoid prism with base 1 = 9 and base 2 = 11 and height of 10. the Height of the prism is 10?

Answer:

y = 4x - 17

Step-by-step explanation:

1.  (y - y1)=m(x - x1)      point-slope formula:  slope = 4

2.  (y - 3) = 4 (x - 5)     substitute x and y values:  (5, 3)

3.  y - 3 = 4x - 20        simplify

4.  y = 4x - 20 + 3       rearrange

5.  y = 4x -17               solve

Answer:

[tex]4 \times 4 + 4 \times 5 = 16 + 20 = 36[/tex]

Answer:

1728000cm^3

Step-by-step explanation:

100cm-1m

x-1.2m

cross multiply

x=120cm

v=lxbxh

=120^3=1728000cm^3

Answer:

3 or (3,0)

Step-by-step explanation:

Answer:

(-3,0)

Step-by-step explanation:

Answer:

114 has the greatest value

Answer:

first box is 4/5 and the second box (=) is 7/15

Answer:

x² + y² = 49

Step-by-step explanation:

The circle being centred at the origin simplifies things a lot.  Also, given an x-intercept point makes it easy to find the origin.

The equation for a circle is:

(x - x₁)² + (y - y₁)² = r²

Where (x₁, y₁) is the centre point of the circle.

In this case, the centre of the circle is (0, 0), giving us:

x² + y² = r²

We are told that the circle intercepts (-7, 0), which tells us that it has a radius of 7.

We can simply plug that into the given equation and say:

x² + y² = 7²

x² + y² = 49

***NOTE***

This is not part of the answer to the question, just an expansion of it.

Generically speaking, The equation for a circle is:

(x - x₁)² + (y - y₁)² = r²

Which applies when the centre of the circle is not at the origin.  For example, if the given circle was centred around the point (6, 8), with the same radius of 7, then the circle's equation would be (x - 6)² + (y - 8)² = 49.

The other complication that could show up is if the given border point does not have the same x or y coordinate as the circle's centre.  For example, if we are given a centre point of (-4, 6) and a border point of (-1, 2), we would first need to use the Pythagorean theorem to find the circle's radius:

r² = (x - x₁)² + (y - y₁)²

r² = (-4 - (-1))² + (6 - 2)²

r² = (-3)² + 4²

r² = 9 + 16

r² = 25

r = 5

We can then plug that into the proper equation, giving us:

(x + 4)² + (y - 6)² = 25

You can also expand and group terms to express that in general form:

x² + 8x + 16 + y² - 12y + 36 = 26

x² + y² + 8x - 12y  + 26 = 0

Again, note that this part of the answer is not related to the original question, but an expansion on it.

Answer:

4

Step-by-step explanation:

A=h(sum of base)

60=h(15)

60/15=h

h=4

Answer:

m = 11/9

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

= (-7 - 4) / (-3 - 6)

= -11/-9

= 11/9

Answer:

a) The test statistic is [tex]z = -2.51[/tex]

b) The pvalue is 0.0060.

Step-by-step explanation:

Question a:

Ha: pB < pNY

This means that the alternate hypothesis is rewritten as:

[tex]H_a: p_{B} - p_{NY} < 0[/tex]

While the null hypothesis is:

[tex]H_0: p_{B} - p_{NY} = 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error

pB = 0.581, pNY = 0.832

This means that [tex]X = 0.581 - 0.832 = -0.251[/tex]

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Standard error = 0.1

This means that [tex]s = 0.1[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-0.251 - 0}{0.1}[/tex]

[tex]z = -2.51[/tex]

The test statistic is [tex]z = -2.51[/tex]

Question b:

The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.

Looking at the z-table, Z = -2.51 has a pvalue of 0.0060

The pvalue is 0.0060.

hope it helps you

907.46 is the answer.

Answer:

65

Step-by-step explanation:

33^2 + 56^2=c^2

4225 = c^2

square root both

65 = c

Answer:

Alice is wrong kate is taller than Alice

Step-by-step explanation:

because Alice is 5'1 and Kate is 5'2

Answer:

5 2/3

Step-by-step explanation:

just trust me

Answer:

option b 5.6 is the correct answer

Answer:

The top left graph

Step-by-step explanation:

All the others are wrong

Answer:

the first one (top left)

go over however many numbers on the left side of the coordinate and up whatever is on the right its always x first y second

Step-by-step explanation:

Answer:

a,  yes

b no

c yes

d no

Step-by-step explanation:

Answer:

=2m²-4m/2(m-2)

=2m(m-2)/2(m-2)

=m is the correct answer

Answer:

No, his inference is not valid

Step-by-step explanation:

the data shown represents the statistic of 100 people's preferred ways to view movies in total

out of that 30/100 people prefer to watch in theatre.

trent inferences that out of 400 people 300 would prefer to watch in theatre another way to write this is 300/400

if we multiply the data we're given so that the denominators match Trent's inference. The data tells us that 120/400 would prefer to watch in theatre, so his inference is not valid.

Answer:

Increased by 290

Step-by-step explanation:

2(-30) = -60

-60 + 350 = 290

points increased by 290

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The answer is "His score changed by 290"

Step-by-step explanation:

2*30 = 60

350 points gained minus the 60 for the spaceships equals 290 points.

He only gained 290 points.

Answer:

4

Step-by-step explanation:

Ben has 21 votes and Scott has 17

21 - 17 = 4

Answer:

B

Step-by-step explanation:

The required equivalent rate is 4.8 inches per minute. Option B is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Rate of change is defined as the change in value with rest to the time is called rate of change.

here,
1 feet = 12 inches and 1 hour = 60 minutes
Now,
given rate = 24 feet/hour,
               = 24 (12 inch) / (60 minutes)
               = 4.8 inch per minnute.

Thus, the required equivalent rate is 4.8 inches per minute. Option B is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

5 7/12 but it's 67/12 as an improper fraction

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

20-8=12

12÷20=0.6

0.6×100=60%

Answer:

0.5

Step-by-step explanation:

It is what it is

Answer:

A, B, and E

Step-by-step explanation:

Those are correct.