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vladimir2022 [97]
3 years ago
8

Chase plans to repaint some classroom bookcases. He has 1 4/7 ​ gallons of paint. All of the bookcases are the same size and eac

h requires 1/3 ​ gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?
Mathematics
1 answer:
vesna_86 [32]3 years ago
7 0
The custodian will be able to repaint 4 6/7 bookcases with 1 4/7 gallons of paint because you have to divide the fractions 1 4/7 and 1/3. 1 4/7 divided by 1/3. You’d turn 1 4/7 into a mixed fraction, change the division sign to a multiplication sign, and flip 1/3. Now the equation is 11/7 • 3/1. Multiply 11 and 3 which equals 33 then multiply 7 and 1 which equals 7. The fraction you get should be 33/7 and then you simplify it and it becomes 4 6/7 which is the answer.
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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
lucia works at her family's italian restaurant . A 20% tip is included with each other. one customer wants to know the price bef
alina1380 [7]

Answer:

$26.88

Step-by-step explanation:

33.60x.20=6.72

33.60-6.72= 26.88

8 0
4 years ago
What’s the answer for this question
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3 years ago
Please help me on this
Sphinxa [80]
Since NS bisects QNR, the angles SNQ and SNR will be congruent.

They are congruent that means they are equal to each other. We will set them equal to each other and find the value of x first.

6x - 57 = 2x + 15
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Now we will substitute 18 for x in each angle measure and find measure of them.

Angle SNQ = 6(18) - 57 =  51
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Now we will add both angles to find the total measure of angle QNR.

51 + 51 = QNR
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Hope this helps :)

5 0
3 years ago
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