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labwork [276]
2 years ago
11

The answer to the problem

Mathematics
1 answer:
Westkost [7]2 years ago
5 0
The answer is: C) $3600
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Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volum
Mazyrski [523]

Question:

Karina has recently begun kickboxing and purchased training equipment as modeled in the diagram below. The cylindrical base is 15 inches tall with a diameter of 22 inches.

Karina wants to fill the base so that it is 85% full. What is the volume of the base that she is filling? (Find 85% of the volume).

Answer:

Section = 4847.3205\ in^3

Step-by-step explanation:

Given

h = 15in -- height

d = 22in -- diameter

Required

85% of the volume

First, calculate the radius

r = \frac{1}{2} * d

r = \frac{1}{2} * 22= 11in

The volume (V) is then calculated using:

V = \pi r^2h

V = 3.142* 11^2 * 15

V = 5702.73\ in^3

85% of the volume is:

Section = 85\% * V

Section = 85\% *  5702.73\ in^3

Section = 4847.3205\ in^3

3 0
2 years ago
Toby read a total of 12 books over 3 months. If Toby has read 16 books so far, how many
Nastasia [14]

Answer:

Step-by-step explanatioen:

6 0
2 years ago
Read 2 more answers
A research report describing the results from a repeated-measures study states: The data show no significant difference between
kipiarov [429]

Answer:

Based on this report, you can conclude that a total of ___11__ individuals participated in the research study .

Step-by-step explanation:

Given that a  research report describing the results from a repeated-measures study states:

The data show no significant difference between the two treatments, t(10) = 1.65, p > .05.

Since t(10) is given, we can conclude that degrees of freedo is 10

Hence sample size is 10+1 =11

Based on this report, you can conclude that a total of ___11__ individuals participated in the research study .

4 0
2 years ago
Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at point C. Alicia draw
True [87]

Benjamin is correct about the diameter being perpendicular to each other and the points connected around the circle.

<h3>Inscribing a square</h3>

The steps involved in inscribing a square in a circle include;

  • A diameter of the circle is drawn.
  • A perpendicular bisector of the diameter is drawn using the method described as the perpendicular of the line sector. Also known as the diameter of the circle.
  • The resulting four points on the circle are the vertices of the inscribed square.

Alicia deductions were;

Draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle

Benjamin's deductions;

The diameters must be perpendicular to each other. Then connect the points, in order, around the circle

Caleb's deduction;

No need to draw the second diameter. A triangle when inscribed in a semicircle is a right triangle, forms semicircles, one in each semicircle. Together the two triangles will make a square.

It can be concluded from their different postulations that Benjamin is correct because the diameter must be perpendicular to each other and the points connected around the circle to form a square.

Thus, Benjamin is correct about the diameter being perpendicular to each other and the points connected around the circle.

Learn more about an inscribed square here:

brainly.com/question/2458205

#SPJ1

6 0
2 years ago
plzzz help smart people, its math will mark branilyest (DONT ANSWER IF YOU DONT KNOW THIS TYPE OF MATH PLZZ SHOW WORK)
sveta [45]

Answer:

6) 15

7)5

8)120 degrees

9)60 degrees

10)9

Step-by-step explanation:

GHIJ is a parallelogram.

Opposite sides of a parallelogram are congruent.

3y - 1 = 2y + 1

3y - 2y = 1 + 1

y = 2

Opposite sides of a parallelogram are congruent.

4x + 3 = x + 12

4x - x = 12 - 3

3x = 9

x = 9/3

x = 3

6)GH = ?

GH = 4x + 3

GH = 4(3) + 3

= 12 + 3

= 15

therefore, GH = 15

7) HI = ?

HI = 2y + 1

= 2(2) + 1

= 4 +1

= 5

therefore, HI = 5

Opposite angles of a parallelogram are equal.

8) m(angle I) = 120 degrees...... (given)

therefore, measure of angle G = measure of angle I

therefore, m(angle G) = 120 degrees

Consecutive angles of a parallelogram are supplementary.

9) m(angle I) + m(angle J) = 180 degrees

120 + m (angle J) = 180

m(angle J) = 180 - 120

= 60 degrees.

The diagonals of a parallelogram bisect each other.

10) JK = 9 .........( given)

JK = HK

therefore, HK = 9

5 0
3 years ago
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