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slega [8]
3 years ago
12

If you place a 45-foot ladder against the top of a 36-foot building, how many feet will the bottom of the ladder be from the bot

tom of the building?
Using pythagorean theorem
Mathematics
1 answer:
ad-work [718]3 years ago
5 0
Do you mean the top of the ladder and the top of the building? If so, it would be 9 feet<span />
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If x\3-2=5x-2 then x=
nikdorinn [45]
X/3 -2 = 5x-2        (multiply by 3)

x-6=15x-6

x=15x

14x=0

x=0
6 0
3 years ago
Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for
Roman55 [17]

Answer:

200 + 12n = 644  Answer: 37

Step-by-step explanation:

200 + 12n = 644

12n = 444

n = 37

Floyd sold 37 albums last month

7 0
3 years ago
What is the surface area of the prism?
Sever21 [200]

Answer:

Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, l, w, h, as 15, 4, 9

The second one has l, w, h, as 6, 4, 6

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = 2(wl + hl + hw)  - 24

2(4*15 + 9*15 + 9*4)  - 24

462  - 24

Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

= 2(wl + hl + hw)  - 24

= 2(4*6 + 6*6 + 6*4)  - 24

= 168 - 24 = 144 ft^2

<em><u>Surface area of the solid = 438 + 144 = 582 ft²</u></em>

Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

Where,

B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

B.A = ½*6*16 = 3*16 = 48 in²

P = perimeter of 1 triangular base = sum of all sides of the triangle.

P = 16+10+10 = 36 in

L = length or height of prism =

Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

<em><u>Surface area of prism = 348 in²</u></em>

4 0
3 years ago
Natasha, Mark and Henry share some sweets in the ratio 5:4:4. Natasha gets 35 sweets. How many more sweets does Natasha get over
Trava [24]

Answer:

7 sweets

Step-by-step explanation:

This is because the constant of proportionality is 7 since 35/5 since it is the ratio for Natasha. Since 7 is the constant of proportionality, you multiply it by the difference of the ratios. In this case, Natasha and Henry have a difference of 1 in ratios. Since it is a difference of 1, you multiply that by the constant of proportionality, 7. 7 X 1 is equal to 7, so Natasha gets 7 more sweets than Henry.

3 0
3 years ago
Write the prime factorization of each number using exponents 20
weqwewe [10]
The number 20<span> is a composite number so, it is possible to factorize it. In other words, 20 can be divided by 1, by itself and at least by 2 and 5. A composite number is a positive integer that has at least one positive divisor other than one or the number itself. In other words, a composite number is any integer greater than one that is not a prime number.</span>

<span>The prime factorization of </span>20<span> = 2</span>2•5.

<span>The prime factors of </span>20<span> are 2 and 5.</span>
7 0
3 years ago
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