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hichkok12 [17]
3 years ago
12

Leo placed a ladder against the back of his store building to paint a sign. The top of the ladder was 9 feet above the ground an

d the bottom of the ladder was 3 feet from the base of the building. What is the length, to the nearest tenth of a foot, of the ladder?
Mathematics
2 answers:
Setler79 [48]3 years ago
6 0
You’ll want to draw a triangle if you imagine the ladder leaning against the building it forms a right triangle with height “a” being the distance from the ground to the window, and the hypotenuse “c” being the length of the ladder. We want to solve for base “b” and the distance between the foot of the ladder and the building
Recall the Pythagorean theory
a^2 + b^2 = c^2
IgorC [24]3 years ago
3 0
9.5 feet is the length of the ladder.
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Part A: Describe how you can decompose this shape into triangles. (2 points)
kvv77 [185]

Answer:

A: 6 triangles with height 10.4 inches each and base 12 inche

B: 62.4 square inches

C: 374.4 square inches

Step-by-step explanation:

Part A: You can form a triangle by connecting E to the top of the segment and connecting the top of the segment to D. Recreating this with each section will create 6 triangles with height 10.4 inches each and base 12 inches.

Part B: The area of a triangle is A = 1/2b*h. Substitute h = 10.4 and b = 12.

A = 1/2*10.4*12 = 62.4

Part C: There are 6 triangles each with area 62.4. So the area of the whole figure will be 6*62.4 = 374.4.

8 0
3 years ago
A bookstore orders 200 books the books are packaged in the black boxes that holds 24
Mama L [17]
I believe 9. I divided 200 books among 24 boxes and got 8.3333..., so that means there would be 8 full boxes plus 1 not full boxes which means that there are 9 boxes total.
6 0
3 years ago
Read 2 more answers
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
lubasha [3.4K]

Answer:

The answer is option C.

<h3>-6, -5 2/5, -4 1/5</h3>

Step-by-step explanation:

The arithmetic sequence is given by

A(n) =  - 6 + (n - 1)( \frac{1}{5} )

where n is the number of terms

<u>For</u><u> </u><u>the</u><u> first</u><u> </u><u>term</u>

n = 1

So we have

A(1) =  - 6 + (1 - 1)( \frac{1}{5} )

=  - 6 + (0)( \frac{1}{5} )

=  - 6

<u>For</u><u> </u><u>the</u><u> </u><u>fou</u><u>rth</u><u> term</u>

n = 4

A(4) =  - 6 + (4 - 1)( \frac{1}{5} )

=  - 6 + (3)( \frac{1}{5} )

=  - 5 \frac{2}{5}

<u>For</u><u> </u><u>the</u><u> </u><u>tenth</u><u> </u><u>term</u>

n = 10

A(10) =  - 6 + (10 - 1)( \frac{1}{5} )

=  - 6 + (9)( \frac{1}{5} )

=  - 4 \frac{1}{5}

Hope this helps you

4 0
3 years ago
Lauren made 15 cups of Juiceby mixing lemon juice and sugar water. The ratio of lemon juice to sugar water is 2:3. How many cups
balandron [24]
6 cups.
2/5 of the mixture would be lemon juice, and 2/5ths of 15 is 6
5 0
4 years ago
The graph represents the speed at which Pete's marble travels.
fiasKO [112]

Answer:b

Step-by-step explanation:

5 0
4 years ago
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