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3 years ago

Five sevenths times seven thirds

Mathematics

1 answer:

lord [1]3 years ago

3 0

5/7 x 7/3

Multiply the numerators together and the denominators:

(5 x 7) / (7 x 3)

35/21 reduces to 5/3 = 1 2/3

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How many solutions will this system of equations have?

elena55 [62]

This system will have 1 solution, or C. That's because since the equations are different, meaning that there is 1 solution.

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2 years ago

Find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place

Veseljchak [2.6K]

$\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=10 \end{cases}\implies \begin{array}{llll} V=\pi (5.7)^2(10)\implies V=324.9\pi \\\\\\ V\approx 1020.7 \end{array}$

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1 year ago

1. what is the area of the board shown on the scale drawing? explain how you found the area.2. how can Adam use the scale factor

bixtya [17]

Answer:

1. 1800 square cm.

2. See below

3. 45000 square cm.

Explanation:

Part 1

The dimensions of the drawing are 36cm by 50cm.

$\begin{gathered} \text{The area of the board}=36\times50 \\ =1800\operatorname{cm}^2 \end{gathered}$

Part 2

Given a scale factor, k

If the area of the scale drawing is A; then we can find the area of the actual board by multiplying the area of the scale drawing by the square of k.

Part 3

$\begin{gathered} \text{Area of the scale drawing}=1800\operatorname{cm}^2 \\ \text{Scale Factor,k=5} \end{gathered}$

Therefore, the area of the actual drawing will be:

$\begin{gathered} 1800\times5^2 \\ =45,000\operatorname{cm}^2 \end{gathered}$

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11 months ago

Is anyone able to solve this?

Olenka [21]

Explanation:

To find x we need to find the unknown side that connects the two triangles using the Pythagorean theorem:

a² + b² = c² (c is always hypotenuse)

So:

a² + 6² = 9²

a² = 9² - 6²

a² = 81 - 36

a² = 45

a = sqrt45

Now we do the same thing for the other triangle:

x² + 5² = sqrt45²

x² + 25 = 45

x² = 20

x = 2√5 or 4.5...

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7 months ago

Select all the correct answers. a group of scientists is conducting an experiment on the effects of media on children. they rand

Julli [10]

Answer:

This study uses random sampling

This study uses a control group

This study uses a repeated measures design

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11 months ago

Read 2 more answers