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dalvyx [7]
3 years ago
15

What is the length of DF? Round to the nearest hundredth.

Mathematics
1 answer:
OlgaM077 [116]3 years ago
3 0

Answer:

7.06

Step-by-step explanation:

This triangle can be solved a couple of ways. In the end, they amount to the same thing.

1) The area is ...

A = 1/2bh = 1/2(8)(15) = 60 . . . using DG as the base

Using GE as the base, the height (DF) is ...

A = (1/2)(17)(DF)

2(60)/17 = DF = 120/17

DF ≈ 7.06

__

2) Using similar triangles, we can find the ratio of the long side to the hypotenuse as ...

(long side)/(hypotenuse) = DE/GE = DF/DG

DF = DG(DE/GE) = 8(15/17) = 120/17

DF ≈ 7.06

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Calculate S_24 for the arithmetic squence in which a_13= 1.9 and the common difference is d=3.7
zloy xaker [14]

Answer:

D. 1.2

Step-by-step explanation:

The sum of an arithmetic sequence is the product of the average term value and the number of terms.

The average term is often computed by averaging the first and last terms of the sequence. It can also be computed by averaging the middle two terms of the sequence (when there are an even number of terms, as here).

We are given a_13 is 1.9. We know that a_12 is 3.7 less, so is -1.8. Then the average of these two middle terms is ...

... (-1.8 + 1.9)/2 = 0.05

The product of this value and the number of terms (24) is ...

... 24·0.05 = 1.2 . . . . . the sum of 24 terms of the sequence

7 0
3 years ago
In ΔQRS, r = 89 inches, s = 32 inches and ∠Q=116°. Find ∠R, to the nearest degree.
allsm [11]

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

3 0
3 years ago
Tasha claims that her skateboard weighs about 3 pounds. is Tasha's claim reasonable? Explain
gladu [14]
Yes, It would be reasonable since thats about the weight of a skateboard.
However, the average skateboard is closer to 6 pounds. So, the skateboard in the question is very possible- but it would be really low quality.

However- given that you are in middle school- I would say yes, it is reasonable.
8 0
3 years ago
Read 2 more answers
Im sorry for so many questions but i need help badly.
vlada-n [284]
The ratio of the circumference to the diameter is defined as pi
pi=circumference/diameter
that is how they got pi
in this question it woul be 15.7/5 which would be 3.14,





c=2pir
a=pir^2

c=2pir=16pi
divide both sides by 2pi
r=8

a=pir^2
a=pi8^2
a=pi64
a=64pi in²
5 0
3 years ago
the length of one leg of a right triangle is 20ft, and the length of the hypotenuse is 52 ft. What is the length of the other le
Dima020 [189]
A^2 + b^2 = c^2
20^2 = 400
52^2 = 2704
400 + b^2 = 2704
2704 - 400 = 2304
So you need the square root of 2304 which is 48 so the length of the other leg is 48 ft.

8 0
3 years ago
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