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Nuetrik [128]
3 years ago
12

Write 0.125 as if it was 2 to a power

Mathematics
1 answer:
Westkost [7]3 years ago
4 0

Answer:

2^{-3}

Step-by-step explanation:

0.125 as a fraction is 125/1000 or 1/8

  • 1 is the same as 2^{0} (anything to the power of 0 is 1)
  • 8 is the same as 2³ (2 × 2 × 2 = 8)
  • 2^{0} ÷ 2³ = 2^{-3} (You subtract the powers: 0 - 3 = -3)

Hope this helps!

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Joe is finding the length of a rectangular prism. The volume of the prism is 204 ft3. The width is 3.5 ft, and the height is 5 f
zmey [24]

Answer:

B. He added 3.5 and 5 when he should have multiplied them.

Step-by-step explanation:

Let's observe Joe's steps:

- V = lwh

- 204 = 3.5 * (5) * l

Here, * means to multiply, so we're supposed to multiply 3.5 to 5, which would give you the answer 17.5. Unfortunately, look what Joe got: he obtained the value of 8.5, and if we observe, 3.5 + 5 = 8.5.

That's how we know that Joe added instead of multiplied, as he should have done. Thus, the answer is B.

8 0
3 years ago
Read 2 more answers
∠CAT and ∠MUD are supplementary. If m∠CAT=11x+16 and m∠MUD=4x+14, find the measure of each angle.
Georgia [21]

Answers:

  • x = 10
  • angle CAT = 126 degrees
  • angle MUD = 54 degrees

=========================================================

Explanation:

∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.

( m∠CAT ) + ( m∠MUD ) = 180

( 11x+16 ) + ( 4x+14 ) = 180

11x+16 + 4x+14 = 180

(11x+4x) + (16+14) = 180

15x+30 = 180

15x = 180-30

15x = 150

x = 150/15

x = 10

Let's find each angle based on this x value

  • m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
  • m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees

Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.

8 0
2 years ago
SOMEONEEEE HELPPP MEEEEE PLEASEEEE!!!!
Nuetrik [128]

Answer:

{ \tt{  \tan(x) =  \frac{opposite}{adjacent}   }} \\  \\ { \tt{ \tan( \theta)  =  \frac{30}{16} }}

5 0
3 years ago
The perimeter of a rectangular swimming pool is 446 centimeters. The width of the pool is 7 centimeters less than the length of
VLD [36.1K]

Answer:

length = 115 cm

width = 108 cm

Step-by-step explanation:

The perimeter of a rectangular swimming pool is 446 centimeters

LEt L be the length of the pool

The width of the pool is 7 centimeters less than the length of the pool.

width = length - 7

W= L-7

Given perimeter = 446

Perimeter of rectangle = 2(length)+2(width)

446 = 2(L) + 2(W)                    we know W = L-7

446 = 2(L) + 2(L-7)    

446 = 2L + 2L - 14

Add 14 on both sides

460 = 4L

divide by 4 on both sides

L= 115

Length L= 115

Width W = L - 7 = 115 - 7= 108

5 0
3 years ago
Read 2 more answers
Find the radii of the two circles. (PLS HELP ASAP)
gogolik [260]
Radii? Please explain what that means
8 0
3 years ago
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