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nikdorinn [45]
3 years ago
9

The simplest from ratio for 27/45

Mathematics
2 answers:
Ghella [55]3 years ago
7 0
The simplist ratio is 3 over 5

Tems11 [23]3 years ago
3 0
Both 27 and 45 have the greatest common factor of 9, so divide the numerator and the denominator by 9 to get the simplest form.
27/45 = 3/5
3/5 is the simplest ratio
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Which expression is equivalent to 2cos^2(x/2)- cos(x)?<br> Edge 2020
olchik [2.2K]

Given:

The expression is

2\cos^2(\dfrac{x}{2})-\cos (x)

To find:

The expression which is equivalent to the given expression.

Solution:

We have,

2\cos^2(\dfrac{x}{2})-\cos (x)

We know that,

\cos x=2\cos^2 (\dfrac{x}{2})-1

Using this formula, the given expression can be written as

2\cos^2(\dfrac{x}{2})-\left(2\cos^2(\dfrac{x}{2})-1\right)

=2\cos^2(\dfrac{x}{2})-2\cos^2(\dfrac{x}{2})+1

=1

Therefore, the given expression is equivalent to 1.

4 0
3 years ago
A frame is 4 inches tall and 3 inches wide if it is enlarged to a height of 24 inches then how wide will it be
Katarina [22]
Height: width
4:3 = 24:x
x = 18
The frame will be 18 inches wide.
8 0
3 years ago
1. Two dice are thrown at the same time . What is the probability that the sum will be 7 or 11 ?
netineya [11]

Answer:

1. 0.2222222

2. .6667

Step-by-step explanation:

for question 1

there can only be 36 outcomes so you find out how many time you could get 7and2 which is 8 from so u write 8.36=.2222

for question 2

divide the outcome by the total out comes example(there are 6 red balls and 4 white out of 15 so you do 10/15=.6667)

8 0
3 years ago
Read 2 more answers
What is 56 divided by 8
aleksklad [387]

56 ÷ 8 = 7

8 goes into 56 7 times

Hope this helps

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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
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