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ikadub [295]
3 years ago
6

Which ratio is proportional to 10/24 A 20/36 B 5/8 C 35/84 D 5/6

Mathematics
1 answer:
7nadin3 [17]3 years ago
5 0

Answer:

  C 35/84

Step-by-step explanation:

The given ratio is less than 1/2. Only one answer choice is less than 1/2: 35/84.

__

The given ratio reduces to 5/12. The reduced ratios of the answer choices are ...

  A  5/9

  B  5/8

  C 5/12 . . . . your answer

  D  5/6

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Let u = (1, 2 -2), v= (2, 1, 3) and w = j + 4k. a) Find cos theta, where theta is the angle in degrees between u and w.
vodka [1.7K]

Answer: The value of cos theta is -0.352.

Step-by-step explanation:

Since we have given that

\vec{u}=1\hat{i}+2\hat{j}-2\hat{k}\and\\\\\vec{w}=\hat{j}+4\hat{k}

We need to find the cos theta between u and w.

As we know the formula for angle between two vectors.

\cos\ \theta=\dfrac{\vec{u}.\vec{w}}{\mid u\mid \mid w\mid}

So, it becomes,

\cos \theta=\dfrac{2-8}{\sqrt{1^2+2^2+(-2)^2}\sqrt{1^2+4^2}}\\\\\cos \theta=\dfrac{-6}{\sqrt{17}\sqrt{17}}=\dfrac{-6}{17}=-0.352\\\\\theta=\cos^{-1}(\dfrac{-6}{17})=110.66^\circ

Hence, the value of cos theta is -0.352.

8 0
3 years ago
If x was 4, what is the value of 4x + 3
Gemiola [76]

Answer:

19

Step-by-step explanation:

4(4)+3

16+3=19

3 0
2 years ago
Read 2 more answers
find the third,fifth and seventeenth terms of the sequence described by each explicit formula f(n)=8+3(n-1) and how you got it
alexira [117]

Answer:

Step-by-step explanation:

plug in 3 , 5 and 17 for n

8 + 3(3 -1) = 8 + 6 = 14

8 + 3(5-1) = 8 + 12 = 20

8 + 3(17-1) = 8 + 48 = 56

3 0
3 years ago
The scatterplot shown includes the (blue) least-squares regression line, whose equation is y = .975 + .005x, where y is calories
ziro4ka [17]

The scatterplot shown includes the (blue) least-squares regression line, whose equation is y = .975 + .005x, where y is calories (in thousands) and x is years after 1960. Choose the correct statement.

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Hence the option a. Consumption is increasing at a rate of 5 calories per year. is correct

4 0
3 years ago
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Al's Produce Stand sells 8 ears of corn for $2.25. Barbara's Produce Stand sells 12 ears of corn for $3.50. Write two equations,
Gennadij [26K]

Answer:

6n = 1.50

and

13n = 3.12

Step-by-step explanation:

Here in this question, we are interested in writing equations that relate the number of ears of corn sold and the cost.For Al’s produce stand, let the price per corn sold be n

Thus;

6 * n = 1.50

6n = $1.50 •••••••(i)

For the second;

let the price per corn sold be n;

13 * n = $3.12

-> 13n = 3.12 •••••••••(ii)

3 0
2 years ago
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