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1 year ago

Answer the question in the picture

Mathematics

1 answer:

Schach [20]1 year ago

6 0

The area of the semicircle is A = 1187.9 cm².

<h3>What is the area of a circle?</h3>

The area of a circle with a radius of r is A = πr².

Given that, the diameter of the semicircle is 55 cm.

The radius of the semicircle is,

r = 55/2

The area of a semicircle is given by,

A = (1/2)πr²

Substitute the values,

A = (1/2)π(55/2)²

A = 1187.9

Hence, the area of the semicircle is A = 1187.9 cm².

Learn more about the area of a circle:

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3 years ago

An 18% alcohol solution is mixed with a 45% alcohol solution to produce 12 ounces of a 36% alcohol solution. How many ounces of

Leno4ka [110]

Answer:

The ounces of the 18% solution is 4 and the ounces of the 45% solution is 8

Step-by-step explanation:

Let

x ---> ounces of the 18% solution

y ---> ounces of the 45% solution

we know that

The number of ounces of the 18% solution plus the number of ounces of the 45% solution must be equal to 12 ounces

$x+y=12$ ----> equation A

The number of ounces of the 18% solution multiplied by 0.18 (percentage in decimal form) plus the number of ounces of the 45% solution multiplied by 0.45 (percentage in decimal form), must be equal to 12 ounces multiplied by 0.36 (percentage in decimal form)

$0.18x+0.45y=0.36(12)$

$0.18x+0.45y=4.32$ -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (4,8)

see the attached figure

therefore

The ounces of the 18% solution is 4 and the ounces of the 45% solution is 8

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3 years ago