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postnew [5]
3 years ago
13

Dr.Casey has a cylindrical beaker he fills with about 113 cubic inches of hydrochloric acid. The hydrochloric avid has a height

of 4 inches in the beaker. To the nearest inch, what is the diameter of the hydrochloric acid in Casey's container?
Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer: the diameter of the hydrochloric acid in Casey's container is 6 inches

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylindrical beaker.

h represents the height of the cylindrical beaker.

π is a constant whose value is 3.14

From the information given,

Volume cylindrical beaker = 113 cubic inches.

Height = 4 inches

Therefore,

113 = 3.14 × r² × 4

113 = 12.56r²

r² = 113/12.56 = 8.9968

r = √8.9968

r = 3

Diameter = 2 × radius

Diameter = 2 × 3 = 6 inches

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The corresponding sides of ΔABC and ΔDEF have equal lengths. The area of ΔABC is 4 square units, and the longest side of ΔDEF is
lisabon 2012 [21]

Answer:

  4 square units

Step-by-step explanation:

If the triangles have corresponding sides the same length, they are congruent triangles. Any measure of ΔABC is the same for ΔDEF.

The area of ΔDEF is 4 square units.

3 0
2 years ago
Match each whole number with a rational, exponential expression. 1. 512 2. 8 3. 343 4. 216 5. 729 6.
Crazy boy [7]

Answer:

1. 2^9 = 512

2. 2^3 = 8

3. 7^3 = 343

4. 6^3 = 216

5. 3^6 = 729

Step-by-step explanation:

To start we have to express the number as a multiplication of prime numbers, from there we can take the expression as a power

1.

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512

2^9 = 512

2.

2 x 2 x 2 = 8

2^3 = 8

3.

7 x 7 x 7 = 343

7^3 = 343

4.

6 x 6 x 6 = 216

6^3 = 216

5.

3 x 3 x 3 x 3 x 3 x 3 = 729

3^6 = 729

6 0
2 years ago
Find the perimeter of the triangular shaped sandwich​
notsponge [240]

Answer:

P = 12 + 5x

Step-by-step explanation:

P = a + b + c

P = 7 + (x + 4) + (4x + 1)

  = 7 + x + 4 + 4x + 1

  = 12 + 5x

6 0
2 years ago
Which of the following demonstrates the Distributive Property? (4 points) 3(4a + 2) = 12a + 6 3(4a + 2) = 12a + 2 3(4a + 2) = 4a
Anastasy [175]
1. 12a+6=12a+6
2. 12a+6=12a+2
3. 12a+6=4a+6
4. 12a+6=7a+5
6 0
3 years ago
Old Navy has a sale on $15 shirts: buy 3
UNO [17]

The amount that the would be paid after 40% discount is $27

<h3>Word Problem</h3>

Given Data

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  • Discount = 40%

Let us find the cost of three shirt

= 15*3

= $45

Let us find 40% discount of $45

= 40/100*45

= 0.4*45

= $18

Let us find the amount after discount

= 45-18

= $27

Learn more about word problem here:

brainly.com/question/25693822

7 0
2 years ago
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