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german
2 years ago
9

1-3 and I need to show my work

Mathematics
1 answer:
love history [14]2 years ago
4 0
All of these questions require you to work with Pythagoras' Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and a and b are two other side lengths

1. c^2 = 5^2 + 12^2
c^2 = 25 + 144
c^2 = 169
c = 13 in.

2. 60^2 = 51^2 + σ^2
3600 = 2601 + σ^2
σ^2 = 999
σ = 31.6 yd

3. 18^2 = b^2 + 8^2
324 = b^2 + 64
b^2 = 260
b = 16.1 m
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I'm a little bit confused about how to approach this can someone help?
Taya2010 [7]

Answer:

4

Step-by-step explanation:

ΔABC is congruent with ΔDEF.  That means the corresponding sides are congruent.

Look at the order of the letters.  EF are the last two letters of ΔDEF.  So this corresponds with the last two letters of ΔABC.  Therefore, EF ≅ BC.

EF ≅ BC

x² + 8x = 48

x² + 8x − 48 = 0

(x + 12) (x − 4) = 0

x = -12 or 4

Since x can't be negative, x = 4.

5 0
2 years ago
PLEASE HELP
Olegator [25]

Answer:

5 minutes

Step-by-step explanation:

hope it helps

8 0
2 years ago
F(x)=3.7-2x
Luda [366]

Answer:

C) h(x)=-1.3-1.75x

Step-by-step explanation:

f(x)=3.7-2x  

g(x) = 0.25x-5

f(x) + g(x) =3.7-2x   + 0.25x-5

Combine like terms

              = -1.75x - 1.3

5 0
2 years ago
1. Analyze the following pattern: 1, 2, 5, 10, 17,
valentinak56 [21]

Answer:

n² - 2n + 2

Step-by-step explanation:

The difference in the pattern are odd numbers.

2 - 1 = 1

5 - 2 = 3

10 - 5 = 5

17 - 10 = 7

So there is a -2n in the nth term.

If we subtract 1 on each term.

0, 1, 4, 9, 16

We get whole squares.

So there is a n² in the nth term.

(1)² - 2(1)+ c = 1

1 - 2 + c = 1

-1 + c = 1

c = 2

The nth term is:

n²-2n+2

6 0
3 years ago
What is the volume of a cube with 1/2 inch sides
Studentka2010 [4]
What is the formula for calculating the volume of a cube?

V = s x s x s where s = the length of a side

V = .5 x.5 x.5 = .125
5 0
3 years ago
Read 2 more answers
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