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notsponge [240]
3 years ago
8

Which expression is equivalent to 12 + 84

Mathematics
1 answer:
liq [111]3 years ago
4 0

Answer:

64+32

Step-by-step explanation:

12+84=96

64+32=96

They both have the the same answer, so they are equivalent.

<em>Could I please have BRAINLIEST?</em>

<em />

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What is the relation between the trigonometric ratios tan(R) and tan(J)? Please answer ASAP!
Ilya [14]

Step-by-step explanation:

∆PQR similar to ∆ JKL

JK/KL= PQ/QR

6/12=3/QR

QR=3×2= 6

therefore, tan(R) = PQ/QR = 3/6=1/2

and, tan(J) = KL/JK =12/6=2

\frac{ \tan(R) }{ \tan(J) }  =  \frac{ \frac{1}{2} }{2}

\frac{ \tan(R) }{ \tan(J) }   =  \frac{1}{4}

tan(J)=4.tan(R)

option D

6 0
3 years ago
Gena attached a dog ramp to her sofa, which allows her oldest dog to easily climb onto a seat cushion. The ramp is 55 inches lon
N76 [4]
If we were to view the ramp from its side, the profile would resemble a right triangle with a 90 degree angle where the sofa meets the floor.

In this case, the two legs of the right triangle are 55 inches and 28 inches, and we looking for the length of the hypotenuse.

We can use Pythagorean Theorem which states:

a^2 + b^2 = c^2

 where a and b are the legs, and c is the hypotenuse.

55^2 + 28^2 = c^2

3025 + 784 = c^2

c^2 = 3809

c =  \sqrt{3809}

c = 61.717 inches

To the nearest tenth, the answer is 61.7 inches.
3 0
3 years ago
willa purchases is a vase for her kitchen that is shaped like a cube and will hold 125 cubic inches of water. what are the lengt
Hatshy [7]
Find the cube root of 125. ∛125 = 5. Each side length will be 5 inches.
3 0
3 years ago
Suppose the number of residents within five miles of each of your stores is asymmetrically distributed with a mean of 25 thousan
ohaa [14]

Answer:

P(\bar X\:>27.8\:thousand)=3.07\%

Step-by-step explanation:

Since the number of residents within five miles of each of your stores is asymmetrically distributed, the distribution of the sample means will be approximately normal with a mean of 25 thousand.

The standard deviation of the sample means is:

\sigma_X=\frac{\sigma}{\sqrt{n} }

\implies \sigma_X=\frac{10.6}{\sqrt{50} }=1.4991

The z value is z=\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n}} }

We plug in the values to get:

z=\frac{27.8-25}{1.4991}=\frac{2.8}{1.4991}=1.87

The area to the right of 1.87 is 1-0.96926=0.03074.

The probability that the average number of residents within five miles of each store in a sample of 50 stores will be more than 27.8 thousand is 3.07%

See attachment.

6 0
4 years ago
What are the amplitude, period, phase shift, and midline of f(x) = −3 sin(4x − π) + 2? (6 points)
algol [13]
The parent function of y=-3sin(4x- \pi )+2 is y=sin(x)

The diagrams below show step by step transformation

As we can see from the graph y=-3sin(4x- \pi )+2, the amplitude of the function is 3, period of \frac{ \pi }{2}, phase shift of π and midline y=2

8 0
3 years ago
Read 2 more answers
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