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3 years ago

Choose the question that has only one possible answer.

Mathematics

1 answer:

blondinia [14]3 years ago

5 0

Answer:

A. How tall are you?

Step-by-step explanation:

The response given to a questions will usually depend on the type of question asked. We have the open ended and the close ended. depending on whether the question can be answered by a yes or no alternative.

The question how tall are you? Simply requires a phrase answer with the height of the person being asked. Such as 6 feets, 12 feets, etc.

The question, length of lizards in backyard and the height of students in class requires a range of values to express the height of the lizards and students.

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1. Bob’s age is twice that of his sister. When you add Bob's age to his sister's age, you get 24. How old is Bob and his sister?

zmey [24]

Answer:

8 and 16

Step-by-step explanation:

16 + 8 = 24

7 0

3 years ago

Read 2 more answers

Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE

AVprozaik [17]

Answer:

Step-by-step explanation:

We are given that:

$\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi$

And we want to find the value of tan(2x).

Note that since x is between π/2 and π, it is in QII.

In QII, cosine and tangent are negative and only sine is positive.

We can rewrite our expression as:

$\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}$

Using double angle identities:

$\displaystyle \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}$

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(x) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

$\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}$

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.

From the above information, substitute in appropriate values. And since x is in QII, cosine and tangent will be negative while sine will be positive. Hence:

<h2> $\displaystyle \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}$ </h2>

Simplify:

$\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}$

Evaluate:

$\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}$

The final answer is positive, so we can eliminate A and B.

We can simplify D to:

$\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}$

So, our answer is D.

7 0

3 years ago

your sister is selling girl scout cookies that cost $4.25 a box. your family bought 6 boxes. how many more boxes of cookies must

Nataly [62]

$4.25 • 6= $25.5
$255-$25.5= $229.5
$229.5/$4.25= 54 boxes of cookies

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2 years ago

Please help if you understand this question!

Solnce55 [7]

Answer:

B. x=5, y=4

Step-by-step explanation:

the tiny triangle is 3x smaller so just divide those numbers by three

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2 years ago

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2 years ago