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3 years ago

1. If 3X + Y =P and X+Y=Q, what is X in terms of P and Q?

Mathematics

1 answer:

ch4aika [34]3 years ago

5 0

'is' means =

X =

3X + Y = P

3X = P - Y

X = (P - Y) ÷ 3

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Tara has ¾ cup of ice cream. How many ⅕ cup servings are in ¾ cup of ice cream?

My name is Ann [436]

Answer:

3 3/4

Step-by-step explanation:

3/4 * 1/5

First you would turn 1/5 into a reciprocal

Now your equation would be 3/4 *5/1

Now you multiply 3/4 * 5/1

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Therefore there are 3 3/4 1/2 cup servings in a 3/4 cup of ice

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3 years ago

Find the value of x

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Answer:

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Step-by-step explanation:

We have a triangle and we know its three sides.

We want to find one of your anguos. Then we use the cosine theorem.

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Where

$c = 14\\a = 11\\b = 19$

Now we solve for x from the equation

$c ^ 2 = a ^ 2 + b ^ 2 -2abcosx\\\\\\14^2 = 11^2 + 19^2 -2(11)(19)cosx\\\\14^2 -11^2 -19^2 = 2(11)(19)cosx\\\\-286=2(11)(19)cosx\\\\cosx = \frac{-286}{2(11)(19)}\\\\x = arcos(\frac{-286}{2(11)(19)})\\\\x = 46.8\°$

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3 years ago

Read 2 more answers

If the angle of elevation of the sun is 61.7° when a building casts a shadow of 56.5 feet, what is the height of the building ro

maksim [4K]

SOLUTION

Let us use a simple diagram to interprete the question

In the diagram above, the dark stuff below represents the shadow and the rectangular bar represents the building. I have labelled the height of the building as h.

So we will use the right-angled triangle formed to find h

As we can see h represents the opposite side and 56.5 feet represents the adjacent side of the right-angle triangle. So we will use TOA

$\text{TOA tan }\theta=\frac{opposite}{\text{adjacent}}$

So we have

$\begin{gathered} \text{ tan }\theta=\frac{opposite}{\text{adjacent}} \\ \text{ tan }61.7\degree=\frac{h}{56.5} \\ 1.8572015=\frac{h}{56.5} \\ \text{cross multiplying, we have } \\ h=1.8572015\times56.5 \\ h=104.931887 \end{gathered}$

Hence the answer is 104.9 feet to the nearest tenth

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1 year ago

Which set of numbers could represent the lengths of the sides of a right triangle? 16, 32, 36 5, 12, 13 6, 7, 8 8, 12, 16

Elden [556K]

5,12,13

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answer: square root 169=13

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3 years ago

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Answer:

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Step-by-step explanation:

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