MATHEMATICS HIGH SCHOOL

(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?A right trapezoid with top side 5 feet and height 5 feet. The bottom side is extended to the right with 3 more feet.
32.5 square feet
40 square feet
187.5 square feet
375 square feet

Answers

Answer 1

Answer:

Answer:

The area of the doghouse is $32.5\ ft^(2)$

Step-by-step explanation:

we know that

The area of trapezoid is equal to

$A=(1)/(2)(b1+b2)h$

where

b1,b2 are the parallel bases of trapezoid

h is the height of trapezoid

in this problem we have

$b1=5\ ft$

$b2=5+3=8\ ft$

$h=5\ ft$

substitute

$A=(1)/(2)(5+8)5=32.5\ ft^(2)$

Answer 2

Answer:

Answer:

32.5 square feet

Step-by-step explanation:

The area of the triangle is 7.5 and the area of the rectangle is 25 so then add 25+7.5 and the answer si 32.5

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Six is less than or equal to the sum of 4 and -2x

Answers

6 ≤ 4 + (-2x)
6 (-4) ≤ 4 - 2x - 4
4 and 4 cancels out
2 ≤ -2x

-1≥x

When you divide by a negative number, the inequality sign turns to the other side.

Simply a3 • a4
And (2a) (5ab)

Answers

Answer:

a^3 (a^4) = a^7

(2a)(5ab) = 10a^2b

Step-by-step explanation:

At the beginning of the year 2002, Sarah put $250 in a savings account. The bank agrees to pay Sarah 3% interest on her total savings at the end of each year including the interest added to the account. Assume the interest rates stay constant and Sarah does not deposit any more money into the bank. How much will she have in her savings, to the nearest cent, after 7 interest payments?

Answers

7×250=1750
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A high school basketball team scored 60 points in last week’s game. The team scored a total of 27 baskets; some were two-point shots and some were three-point shots. How many two-point shots did they make? How many three-point shots did they make?x + y = 27,

2x + 3y = 60

What is the solution of the system of equations, and what does it represent?

options:

(6, 21); 6 two-point shots and 21 three-point shots

(6, 21); 6 three-point shots and 21 two-point shots

(21, 6); 21 two-point shots and 6 three-point shots

(21, 6); 21 three-point shots and 6 two-point shots

Answers

Answer:

the answer is (21, 6); 21 two-point shots and 6 three-point shots

Step-by-step explanation:

Answer:

Step-by-step explanation:

i did the test

which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply. y = –x + 1 3x − 4y = −4 4x − 3y = −3 y – 2 = –(x – 4) y + 2 = (x + 4)