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katen-ka-za [31]

2 years ago

9

Ashish had a box of 117 books.

1 answer:

il63 [147K]2 years ago

4 0

117 - 13 = 114 books in each box

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What is 48.5% of 300?

Dafna1 [17]

Answer:

It's 145.5........

8 0

2 years ago

Read 2 more answers

The diagonal of a rectangle is of length a. It splits each corner forming two angles with a ratio of 1:2. The area of the rectan

HACTEHA [7]

Answer:

Step-by-step explanation:

Given

Length of diagonal is a

Diagonal divides the angle in 1:2

such that $\theta +2\theta =90$ (because angle between two sides is 90)

$3\theta =90$

$\theta =30^{\circ}$

width of rectangle is $b=a\sin \theta =\frac{a}{2}$

Length of rectangle is $L=a\cos 30=\frac{\sqrt{3}}{2}a$

Area of rectangle $A=L\cdot b$

$A=\frac{\sqrt{3}}{2}a\times \frac{a}{2}$

$A=\frac{\sqrt{3}}{4}a^2$

5 0

3 years ago

A survey of 46 college athletes found that 24 played volleyball, while 22 played basketball. a) If we pick one athlete survey pa

PSYCHO15rus [73]

Answer:

A) $\dfrac{11}{23}$

B) $\dfrac{88}{345}$

Step-by-step explanation:

A survey of 46 college athletes found that

24 played volleyball,
22 played basketball.

A) If we pick one athlete survey participant at random, the probability they play basketball is

$P_1=\dfrac{22}{46}=\dfrac{11}{23}$

B) If we pick 2 athletes at random (without replacement),

the probability we get one volleyball player is $\dfrac{24}{46}=\dfrac{12}{23};$
the probability we get another basketball player is $\dfrac{22}{45}$ (only 45 athletes left).

Thus, the probability we get one volleyball player and one basketball player is

$P_2=\dfrac{12}{23}\cdot \dfrac{22}{45}=\dfrac{88}{345}$

5 0

3 years ago

Find the slope of the line.

Anika [276]

The equation for working out the slope of a linear line is: $\frac{y_2 - y_1}{x_2 - x_1}$ , where x and y are the coordinate pairs.

So just pick two of the purple dots on the graph and fill in the equation.

I'll pick the dot that's (-4, 1) and (4, -7).

Now I just do $\frac{7 - 1}{4 - -4}$ , which is just $\frac{3}{4}$ when simplified.

6 0

3 years ago

The following wedge prism has a volume of

tiny-mole [99]

Answer:

The volume of the prism is 27 cubic inches.

Step-by-step explanation:

In order to calculate the volume of the given prism, we need to apply the correct formula. The volume of the wedge prism is given by the following formula:

$Volume = \frac{1}{2}*b*h*l$

Applying the data from the problem on the equation above, we have:

$Volume = \frac{1}{2}*6*4.5*2\\Volume = 6*4.5\\Volume = 27$

The volume of the prism is 27 cubic inches.

6 0

3 years ago