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3 years ago

Which of the following is not proportional to 48/64?A. 6/8B. 24/32C. 3/4D. 2/3

Mathematics

1 answer:

fenix001 [56]3 years ago

8 0

Answer:

Step-by-step explanation:

Proportional values simplify to the same constant.

48/64 = 12/16 = 3/4

This means C is proportional since C is 3/4.

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George spins a spinner 108 times. The spinner lands on a green section 9 times. What is the best estimate of the probability tha

irina [24]

Answer:

1/12

Step-by-step explanation:

Probability is chance of occurrence.

It is observed that out of 108 trials, there were 9 successes i.e 9 times landing on the green section.

P(green) = 9/108

= 1/12

4 0

3 years ago

Find , , and if and terminates in quadrant .

ioda

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

STEP - BY - STEP EXPLANATION

What to find?

• sin2x

• cos2x

• tan2x

Given:

tanx = 2/3 = opposite / adjacent

We need to first make a sketch of the given problem.

Let h be the hypotenuse.

We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.

Using the Pythagoras theorem;

hypotenuse² = opposite² + adjacent²

h² = 2² + 3²

h² = 4 + 9

h² =13

Take the square root of both-side of the equation.

h =√13

This implies that hypotenuse = √13

We can now proceed to find the values of ainx and cosx.

Using the trigonometric ratio;

$\sin x=\frac{opposite}{\text{hypotenuse}}=\frac{2}{\sqrt[]{13}}$ $\cos x=\frac{adjacent}{\text{hypotenuse}}=\frac{3}{\sqrt[]{13}}$

And we know that tanx =2/3

From the trigonometric identity;

sin 2x = 2sinxcosx

Substitute the value of sinx , cosx and then simplify.

$\sin 2x=2(\frac{2}{\sqrt[]{13}})(\frac{3}{\sqrt[]{13}})$ $=\frac{12}{13}$

Hence, sin2x = 12/13

cos2x = cos²x - sin²x

Substitute the value of cosx, sinx and simplify.

$\begin{gathered} \cos 2x=(\frac{3}{\sqrt[]{13}})^2-(\frac{2}{\sqrt[]{13}})^2 \\ \\ =\frac{9}{13}-\frac{4}{13} \\ =\frac{5}{13} \end{gathered}$

Hence, cos2x = 5/13

tan2x = 2tanx / 1- tan²x

$\tan 2x=\frac{2\tan x}{1-\tan ^2x}$ $=\frac{2(\frac{2}{3})}{1-(\frac{2}{3})^2}$ $=\frac{\frac{4}{3}}{1-\frac{4}{9}}$ $=\frac{\frac{4}{3}}{\frac{9-4}{9}}$ $=\frac{\frac{4}{3}}{\frac{5}{9}}$ $=\frac{4}{3}\times\frac{9}{5}=\frac{4}{1}\times\frac{3}{5}=\frac{12}{5}$

$\tan 2x=\frac{\sin 2x}{\cos 2x}=\frac{\frac{12}{13}}{\frac{5}{13}}=\frac{12}{5}$

Hence, tan2x = 12/5

Therefore,

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

3 0

1 year ago

Will give brainliest!!!!<br>Explain how solving -7y > 161 is different from solving 7y > -161.

Jlenok [28]

To solve -7y > 161, we divide both sides by -7 and we get y < -23. The inequality sign flipped because we divided both sides by a negative number.

To solve 7y > -161, we divide both sides by 7 and it leads to y > -23. The inequality sign does not flip in this case, because we are not dividing both sides by a negative number.

The similarities is that we end up with -23 on the right side, but the inequality signs are different.

5 0

3 years ago

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antiseptic1488 [7]

Nemo is a great guy im telling u man

5 0

3 years ago

Anyone can help? with this problem

Iteru [2.4K]

Answer:

Step-by-step explanation:

24 is 4 in the ratio so 24÷4 gives 6 and 5x6 is 30 so the hypotenuse is 30 inches

4 0

3 years ago

Which of the following is not proportional to 48/64?​A. 6/8B. 24/32C. 3/4D. 2/3

Which of the following is not proportional to 48/64?A. 6/8B. 24/32C. 3/4D. 2/3