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3 years ago

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(05.02)A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse?

1 answer:

LenaWriter [7]3 years ago

5 0

Answer:

32.5 square feet

Step-by-step explanation:

The formula for a trapezoid is a= 1/2*(b1+b2)*h. B1 and b2 would represent the two bases given and therefore doesn't matter what order you put them in. Plug in all values into the equation and you'll get 1/2*(5+8)*5 then 1/2*(13)*5. Next simplify to get 6.5*5 which then equates to 32.5.

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What is the slope of the line that passes through the points (10,5) and (9,5)? Write

Alex_Xolod [135]

Answer:

slope of line is 0.

Step-by-step explanation:

Slope of a line passing through (x1,y1) and (x2,y2) is given by

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

Given points are (10,5) and (9,5)

thus

slope = (5-5)/(9-10) = 0/-1 = 0

Thus, slope of line is 0.

When slope of line is zero it means that the line the which passes through given point is parallel to x-axis.

4 0

3 years ago

Please help me find the answer to this problem

andriy [413]

Answer:

13.5

Step-by-step explanation:

6 + 3 = 9

9 × 3 = 27

27 ÷ 2 = 13.5

brainliest?

5 0

3 years ago

What is the least common multiple of 4 and 12? O 4 O 12 O 24 o ) 48

densk [106]

Answer:

12

Step-by-step explanation:

Least common multiple means what is the smallest number that both numbers go into

List the prime factors

4= 2*2

12 = 2*2*3

The factors that are in needed to make both are 2 and 3

We need 2 of the 2's and 1 3

2*2*3 = 12

3 0

2 years ago

Find the slope of the line passing through the two points.

GalinKa [24]

The fromula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

a) (-1, -8), (-7, -4)

substitute

$m=\dfrac{-4-(-8)}{-7-(-1)}=\dfrac{-4+8}{-7+1}=\dfrac{4}{-6}=-\dfrac{2}{3}$

b) (2.1, 3.8), (3.1, 7.6)

substitute

$m=\dfrac{7.6-3.8}{3.1-2.1}=\dfrac{3.8}{1}=3.8$

4 0

3 years ago

the sum of the first three terms of a sequence Is 42 The fourth term is 24. find u1 and the common difference

e-lub [12.9K]

$10=2d$

Given:

The sum of the first three terms of a sequence Is 42.

The fourth term is 24.

To find:

The u₁ and the common difference

Step-by-step explanation:

nth term of a sequence is

$u_n=u_1+(n-1)d$

where, u₁ is first term and d is common difference.

4th term is 24.

$u_4=u_1+(4-1)d$

$24=u_1+3d$ ...(i)

Sum of nth term of an AP is

$S_n=\dfrac{n}{2}[2u_1+(n-1)d]$

Sum of first three terms is 42.

$S_3=\dfrac{3}{2}[2u_1+(3-1)d]$

$42=\dfrac{3}{2}[2u_1+2d]$

Divide both sides by 3.

$14=u_1+d$ ...(ii)

On subtract (ii) from (i), we get

$10=2d$

$5=d$

Put d=5 in equation (ii).

$14=u_1+5$

$14-5=u_1$

$9=u_1$

Therefore, the first term is $u_1=9$ and common difference is $d=5$ .

6 0

3 years ago