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valentinak56 [21]
3 years ago
7

Ms.Lopez has 4 liters of chemicals that she is going to pour into beakers. Each beaker will have 1/4 of a liter of chemicals, ho

w many beakers can Ms.Lopez fill? Draw a model to support your work. (it's ok if you dont)
Mathematics
1 answer:
Yakvenalex [24]3 years ago
6 0
It would be 256 because you would do 4 to the power of 4
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Juan wants to know the cross-sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimet
Tpy6a [65]

This question is not correctly written.

Correct Question

Juan wants to know the cross- sectional area of a circular pipe. He measures the diameter which he finds, to the nearest millimeter, to be 5 centimeters. To find the area of the circle, Juan uses the formula A=〖πr〗^2 where A is the area of the circle and r is its radius. He uses 3.14 for π.

a) What value does Juan get for the area of the circle? Make sure you include your units.

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

Answer:

a)The Area of the circle is 1962.5 millimeters ²

b) The radius of the circle is

5inches( in)

Step-by-step explanation:

a) The formula for the Area of a circle = πr²

The diameter of the circle was measured by Juan to the nearest millimeters = 5 centimeters

The first step is to convert 5cm to millimeters

1 centimetre = 10 millimeters

5 centimetres =

Cross multiply

= 5 × 10 millimeters

Therefore, 5 centimetres = 50 millimeters.

Since the Diameter of the circle = 50 millimeters,

Radius is calculated as Diameter ÷ 2

Therefore , the radius of the circle = 50 millimeters ÷ 2

= 25 millimeters.

The second step is to find the Area of the circle.

Area of the circle = πr²

Juan used 3.14 for π

Therefore , Area of the circle is calculated as:

= 3.14 ×(25millimeters)²

= 3.14 × 625 millimeters²

= 1962.5 millimeter ²

The Area of the circle is 1962.5 millimeters²

b) Michelle found the area of a circle as 78.5 〖in〗^2. She used 3.14 for π. What is the radius of the circle?

The formula to calculate the Area of a Circle is given as:

A( Area of a circle) = πr²

Since we are asked to find the radius of the circle in Part B, we can derive the formula to find the radius of a circle

A = πr²

r² = A ÷ π

r = √A÷ π

Therefore , the formula to find the Radius of a circle is given as :

r = √A ÷ π

Already given in the question are the following values :

Area of the circle = 78.5inches²

π = Michelle used 3.14

The radius of the circle

= r = √A ÷ π

r = √78.5 in² ÷ 3.14

r = √ 25

r = 5inches( in)

Therefore the radius of the circle is

5inches(in).

5 0
3 years ago
A plumber charges $25 for a service call, plus $50 per hour of service. (Linear Equation)
DochEvi [55]

Answer:

y=50x+25

y-interept=(0,25)

slope: 50

8 0
3 years ago
The art club had an election to select a president. 56 members voted in the election and 24 did not vote. What percentage of the
Brrunno [24]

Answer:

56 + 24 = 80

56 X 100 = 5600

5600/80 = 70%

6 0
3 years ago
3x + 2y = 12 y = x - 9<br> solve by substitution
mezya [45]
Point form: (6,-3)
equation form: x=6, y=-3
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Drag the simplified value into the box to match each expression.
Mama L [17]

Answer:

4^0 + 2 x 3 - 2 = 5

2^2 + 10 - 3 x 2 = 8

9 + 3^2 - 1 x 4 = 14

please give brainliest

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