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3 years ago

13

the computer lab at a high school ordered 26 packages of cd's . there were 50 cd's in each package. how many cd's did the comput

er lab order?

1 answer:

umka2103 [35]3 years ago

3 0

To find your answer multiply:

26x50=?

26x50= 1300

?= 1300

Hope I helped:)

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3 years ago

Find (a) the arc length and (b) the area of a sector.

Brut [27]

Answer:

a) 23.56 ft (2 dp)

b) 58.90 ft² (2 dp)

Step-by-step explanation:

<u>Formula</u>

$\textsf{Arc length}=r \theta$

$\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta$

$\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}$

<u>Calculation</u>

Given:

$\theta=\dfrac{3 \pi}{2}$
r = 5 ft

$\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 5\left(\dfrac{3 \pi}{2}\right)\\& = \dfrac{15}{2} \pi \\& = 23.56\: \sf ft\:(2\:dp)\end{aligned}$

$\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(5^2) \left(\dfrac{3 \pi}{2}\right)\\\\& = \dfrac{25}{2}\left(\dfrac{3 \pi}{2}\right)\\\\ & = \dfrac{75}{4} \pi \\\\& = 58.90 \: \sf ft^2\:(2\:dp)\end{aligned}$

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3 years ago

The bases of the prism below are right triangles. The volume of the prism is 3360 units33 . Find the height of the prism.

lana66690 [7]

Answer:

14

Explanation:

Given:

Volume of the prism = 3360 units^3

To find:

The height of the prism

We'll use the below formula to determine the height(h) of the prism;

$\begin{gathered} Volume(V)=Area(A)\text{ of the triangular base * Height\lparen H\rparen of the prism} \\ V=(\frac{b*h}{2})*H \\ 3360=(\frac{16*30}{2})*H \\ 3360=240*H \\ H=\frac{3360}{240} \\ H=14 \end{gathered}$

So the height of the prism is 14

8 0

1 year ago