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lesya692 [45]
3 years ago
5

A typist takes 8 minutes to type 360 words.

Mathematics
2 answers:
Zigmanuir [339]3 years ago
6 0

Well, it cant be option B because then it wuld be half the time (180 mins.)

It cant be option D becasue then it would be over 360 mins, seeing that it only took 8 mins to type 360

And it cant be option C beacuse it would be too small, if 4 mins is to small then 3 mins is worse

Your answer would be A 5 minutes it's just a little bit above 4 mins(half)

gizmo_the_mogwai [7]3 years ago
6 0

Answer:

A. 5 minutes

Step-by-step explanation:

We can solve this question using proportions

Let x be the number of minutes needed to type 225 words.

8 minutes = 360 words

     x          = 225 words

Cross-multiply

360 × x  =  225× 8

360 x = 1800

Divide both-side of the equation by 360

\frac{360x}{360}  = \frac{1800}{360}

(On the left-hand side of the equation, 360 at the numerator  will cancel-out 360 at the denominator, while on the right-hand side of the equation 1800 will be divided by 360)

x= 5 minutes

Therefore, it will take 5 minutes to type 225 words

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Find the volume of the composite figure.First, find the volume of the cylinder.Use 3.14 for it.CylinderVolume = [?] cm9 cm9 cmCu
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Solution

- The question gives us a composite figure made up of a cylinder and a cube.

- We are required to find the volume of the cylinder and the cube and then use the results to find the volume of the composite figure.

- The formulas needed for this calculation are:

\begin{gathered} Volume\text{ of Cylinder}=\pi\times r^2\times h \\ where, \\ r=radius\text{ of the cylinder} \\ h=height\text{ of the cylinder} \\  \\ Volume\text{ of Cube}=l^3 \\ where, \\ l=dimension\text{ of the cube} \\  \\ Volume\text{ of Composite figure}=Volume\text{ of Cylinder }+Volume\text{ of Cube} \\  \end{gathered}

- With the information above, we can proceed to solve the question

Volume of the Cylinder:

\begin{gathered} V=\pi\times r^2\times h \\ r=\frac{6}{2}=3\text{  \lparen Since 6cm is the diameter of the cylinder\rparen} \\ h=4 \\  \\ \therefore V=\pi\times3^2\times4 \\  \\ V=36\pi cm^3 \end{gathered}

Volume of Cube:

\begin{gathered} V=l^3 \\ l=9 \\ \therefore V=9^3=729cm^3 \end{gathered}

Volume of Composite Figure:

\begin{gathered} V=36\pi+729 \\ use\text{ }\pi=3.14 \\  \\ V=36\left(3.14\right)+729 \\  \\ V=842.04cm^3 \end{gathered}

Final Answer

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