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r-ruslan [8.4K]
3 years ago
15

A square dartboard contains a red square and a blue square that overlap. A dart hits a random point on the board.

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0
They want to know the probability of landing in the blue and red section at the same time. In other words, they want to know the probability of landing in the purple section.

We'll need the area of the purple square. This square is 1.5 inches by 1.5 inches. This is because 4 - 2.5 = 1.5

So the purple square has an area of 1.5*1.5 = 2.25 square inches

Divide this over the total area of the largest square (which is 9x9) to get 2.25/81 = 0.02777... where the 7's go on forever

Round that to two decimal places. The final answer is 0.03

Side note: 2.25/81 is equivalent to the reduced fraction 1/36 (express 2.25/81 as 225/8100 and then divide both parts by the GCF 225)
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A pill has the shape of a cylinder with a hemisphere at each end. The height of the cylindrical portion is 12mm and the overall
Volgvan

Answer:

The volume of the pill is V=452\ mm^{3}

Step-by-step explanation:

Find the volume of the pill in cubic millimeters

we know that

The volume of the pill is equal to the volume of the cylinder plus the volume of a sphere (two hemisphere is equal to one sphere)

so

we have

V=\frac{4}{3}\pi r^{3}+\pi r^{2}h

r= (18-12)/2=3\ mm\\ h=12\ mm

assume

\pi =3.14

substitute

V=\frac{4}{3}(3.14)(3)^{3}+(3.14)(3)^{2}(12)\\V=452\ mm^{3}

8 0
3 years ago
Ellie bought a pair of jeans on sale for 15% off. If the jeans were originally $35, how much did she save?
Maurinko [17]

Answer:

she saved $5.25

Step-by-step explanation:

8 0
3 years ago
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If four times the sum of a number and 3 is divided by 2, the quotient is 0: find the number
AveGali [126]

The other number is -3.

Step-by-step explanation:

Step 1; First we develop formulae for the given information. A number is added with 3 and the resulting sum is multiplied by 4. This number is then divided by 2 and the quotient is 0. Assume the unknown number is x, then the given information is as follows

The quotient of \frac{4(x+3)}{2} is 0. So \frac{4(x+3)}{2} = 0.

Step 2; Now we solve the above equation. The denominator is taken to the RHS and the RHS remains zero.

\frac{4(x+3)}{2} = 0, 4(x+3)= 0, 4x+ 12 = 0, 4x = -12, x = \frac{-12}{4} = -3.

So the other number is -3.

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20% of a class are boys and 20 are girls. What's the Ratio of girls to boys?
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20:20 since the number of boy is even to the girls
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s344n2d4d5 [400]

Answer:

15.6

Step-by-step explanation:

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