Which is the best approximation of the perimeter of a right isosceles triangle if it's hypotenuse is 12 units long

Answers

Answer 1
Answer: ok so isocileese
that means that the 2 legs are eual

a^2+b^2=c^2
a=b
c=12
2a^2=12^2
2a^2=144
divide 2
a^2=72
a=6√2

perimiter=a+b+c
a=b
P=6√2+6√2+12
P=12√2+12
P=aprox 28.97 units

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Can someone help me with this math homework please!

Answers

Answer:

1st, 2nd and 6th options

Step-by-step explanation:

Given

(2)/(3) - x + (1)/(6) = 6x ( multiply through by 6 to clear the fractions )

4 - 6x + 1 = 36x ← option 1 will have the same solution set

----------------------------------------------------------------------

Adding the 2 fractions on the left side gives

(4)/(6) +(1)/(6) - x = 6x , that is

(5)/(6) - x = 6x ← option 2 will have the same solution set

------------------------------------------------------------------------

From

4 - 6x + 1 = 36x ( add 6x to both sides )

5 = 42x ← option 6 will have the same solution set

Which is 216 written as a power of a number? a. 6^3
b. 3^6
C. <------
108^2
d. 72^3

Answers

a) 6^(3) =216

b) 3^(6) =729

c) 108^(2) =11664

d) 72^(3) =373248

Answer: A

216 = 6^(3)

G(n) = 1 + 3
h(n) = -n -1
Find: (g/h)(-5)

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

-Let solve for g

g/h=-5

Step 1: Multiple both sides by h.

g=-5h

Answer: g=-5h

To the nearest tenth, what is the length of the hypotenuse of an isosceles right triangle with a leg of 7 3 inches? A) 15.7inches
B) 16.2 inches
C) 17.1 inches
D) 18.5 inches

Answers

Answer:

the answer is the option C

17.1\ in

Step-by-step explanation:

we know that

An isosceles right triangle has two equal legs

Let

x------> the length side of the hypotenuse

y-----> the length side of the leg

Applying the Pythagoras theorem

x^(2) =y^(2)+y^(2)

x^(2) =2y^(2)

In this problem we have

y=7√(3)\ in

Substitute and solve for x

x^(2) =2(7√(3))^(2)

x=17.1\ in

Mrs Thomas played a game. Her score changed the same amount each round. After 3 rounds, her score had changed by -18 points. How much did her score change during each round?

Answers

Answer: -6

Step-by-step explanation: It changed -6 each round because -6x3=-18.\

Hope this helped!

How to solve for x 8(4-x)= 7x+2

Answers

8 ( 4 - x ) = 7x + 2
32 - 8x = 7x + 2
      -7x     -7x
--------------------------
32 - 15x = 2
-32           -32
----------------------------
-15x = -30
/-15      /-15

x = 2.