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3 years ago

Hampsphire hill is 87/9 meters tall. Write its height as a mixed number.

Mathematics

2 answers:

Umnica [9.8K]3 years ago

4 0

I think it is 9 6/9 but im not quite sure .

REY [17]3 years ago

3 0

The answer to this question is 9 6/9

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A circle with radius of 5 cm sits inside a 11 cm * 11 cm rectangle.

Nadusha1986 [10]

Answer:

42.43 $cm^{2}$

Step-by-step explanation:

Given:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

Solution:

First of all calculate area of circle and then area of rectangle:-

$Area\ of\ cirle=\pi r^{2}$

$=\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\ \\=78.571\ cm^{2}\\$

As here length an width both are 11 cm, we can say that this is a square.

$Area\ of\ square=(Side)^{2}$

$=11\times11=121\ cm^{2}$

Now, area of shaded region = Area of square - Area of circle

= 121 - 78.571 = 42.429 $cm^{2}$

Therefore, the area of the shaded region will be 42.43 $cm^{2}$

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5 0

2 years ago

Two trains are 210 miles apart, and their speeds differ by 17 mph. Find the speed of each train if they are traveling toward eac

Marizza181 [45]

V1 - velocity first train
v2 - velocity second train
v2 > v1

v2 - v1 = 17 mph

We know, that:
$s_1+s_2=210 \ [miles] \\ \\ t_1=t_2=2h$

So:

$v_1=\dfrac{s_1}{t_1}=\dfrac{s_1}{2} \\ \\ v_2=\dfrac{s_2}{t_2}=\dfrac{s_2}{2} \\ \\ \\ v_1+v_2= \dfrac{s_1}{2}+\dfrac{s_2}{2} \\ \\ v_1+v_2= \dfrac{s_1+s_2}{2} \\ \\ v_1+v_2= \dfrac{210}{2}=105$

NOw we've got simple system of equations:

$+\begin{cases} v_2-v_1=17 \\ v_2+v_1=105\end{cases} \\ \\ 2v_2=122 \qquad /:2 \\ \\ v_2=61 \qquad [mph] \\ \\ v_2-v_1=17 \\ \\ 61-v_1=17 \\ \\ v_1=44$

Velocities of these trains are 61mph and 44mph

3 0

2 years ago

Read 2 more answers

A cylinder has a base diameter of 16 feet and a height of 19 feet. What is its volume in cubic feet, to the nearest tenths place

qaws [65]

Answer:

3820.18

Step-by-step explanation:

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2 years ago

Which one of the triangles shown is the image of the other triangle after dilation? What are the coordinates of the center of di

Vesnalui [34]