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Sveta_85 [38]
2 years ago
8

A 20­ft ladder is leaning against a house. The bottom of the ladder is 3 ft from the house. To the nearest tenth of a foot, abou

t how high does the top of the ladder reach?
Mathematics
1 answer:
Tasya [4]2 years ago
8 0

Answer:  19.8 ft

Step-by-step explanation:

Use the Pythagorean Theorem formula to solve for how high the top of the ladder reach.  

The formula says  a^2 + b^2 = c^2

Where a and b are the two legs and  C is the hypotenuse.

In this situation, the hypotenuse will be length of the ladder , and either  a or b will be the length of the ladder from the building or the length of how long the ladder.

a will be 3 ,  and c will be 20. Input in the values  into the formula and solve for b.

3^2 + b^2 = 20^2

9 + b^2 = 400

-9              -9

 b^2 = 391  

    b = \sqrt{391}

  b  = 19.77371   round to the nearest tenth is ,  19.8

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549.5 to 1 decimal place
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Answer:

It is still 549.5

Step-by-step explanation:

Rounding to 1 decimal place is just rounding by the tenth place

So it is still 549.5

Hope this helps!

8 0
2 years ago
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Eight less a number is less than or equal to 17
klio [65]

Answer:

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Step-by-step explanation:

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3 years ago
PLEASE HELP!! WILL GIVE BRANLIEST
stepladder [879]
The equation for this is ; y=1/2(x+4)^2-1

Explain

we use the vertex form
y=a(x-h)^2+k where the vertex is (h,k)

Select ( -4,-1)


Where h=-4
K=-1


y=a(x-h)^2+k

We get

y=a(x-(-4))^2+ -1

Y= a(x+4)^2+-1

Now replace to 0,7

7=a(0+4)^2-1

7=a(4)^2-1

7=16a-1


So now

7=16a-1
7+1=16a

8=16a
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So y=a(x+4)^2 -1
Should become

Y=1/2(x+4)^2 -1



Do you have any doubts now !
3 0
2 years ago
If prism A and Prism B have a ratio of similarity of 2:3, what is the volume of prism A if Prism B's volume is 56 cubic inches
Sunny_sXe [5.5K]

Answer:

16.6 in³

Step-by-step explanation:

Given the ratio of similarity = 2 : 3, then

the ratio of volumes = 2³ : 3³ = 8 : 27

let the volume of prism A be x then by proportion

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27x = 448 ( divide both sides by 27 )

x = 448 ÷ 27 ≈ 16.6 ( to 1 dec. place )

Prism A has a volume of approx 16.6 in³

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Answer:

52 is the correct answer

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