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Alexxx [7]
3 years ago
5

A sphere with center A is shown. Which represents a radius?

Mathematics
2 answers:
Lunna [17]3 years ago
5 0
A because radius is half of the diameter
solniwko [45]3 years ago
4 0

Answer:

d

Step-by-step explanation:

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If one bag of grass seed will cover 225 square feet, what is the minimum number of bags the haney family will need to cover thei
Veronika [31]

Answer:

9 bags

Step-by-step explanation:

First we will need to calculate the area of their entire backyard, which has a shape of trapezium.

So the formula for the area of a trapezium is A=\frac{(a+b)*h}{2}

a and b are the lenghts of the parallel sides and h is the height.

From the picture a=10*5=50\\b=9*5=45\\h=8*5=40

Then we plug into our formula

A=\frac{(a+b)*h}{2} =\frac{(50+45)*40}{2} = 1200 square feet

To get the number of bags required we just simply divide the aree of their entire yard by the space that 1 bag covers. We get:

\frac{1900}{225} =8.444... bags

This is more than 8 bags so they will need 9 bags to cover their entire yard.

8 0
3 years ago
Select all the equations on which the point (10, 0) lies.
hjlf

Answer:

A. 2x+4y=20 B. x+6y=10 C. 3x+3y=13 D. 4x+2y=20

5 0
3 years ago
A company manufactures two different sizes of boat lifts. The smaller lift requires 1 hour in the welding department and 2 hours
qaws [65]

Answer:

  • The solution that optimizes the profit is producing 0 small lifts and 50 large lifts.
  • Below are all the steps explained in detail.
  • The graph is attached.

Explanation:

<u />

<u>1. Name the variables:</u>

  • x: number of smaller lifts
  • y: number of larger lifts

<u></u>

<u>2.  Build a table to determine the number of hours each lift requires from each department:</u>

<u></u>

Number of hours

                                        small lift    large lift   total per department

Welding department            1x             3y                x + 3y

Packaging department        2x             1y                2x + y

<u></u>

<u>3. Constraints</u>

  • 150 hours available in welding:         x + 3y ≤ 150
  • 120 hours available in packaging:   2x + y ≤ 120
  • The variables cannot be negative:    x ≥ 0, and y ≥ 0

Then you must:

  • draw the lines and regions defined by each constraint
  • determine the region of solution that satisfies all the constraints
  • determine the vertices of the solution region
  • test the profit function for each of the vertices. The vertex that gives the greatest profit is the solution (the number of each tupe that should be produced to maximize profits)

<u></u>

<u>4. Graph</u>

See the graph attached.

Here is how you draw it.

  • x + 3y ≤ 150
  • draw the line x + 3y = 150 (a solid line because it is included in the solution set)
  • shade the region below and to the left of the line

  • 2x + y ≤ 120
  • draw the line 2x + y ≤ 120 (a solid line because it is included in the solution set)
  • shade the region below and to the left of the line

  • x ≥ 0 and y ≥ 0: means that only the first quadrant is considered

  • the solution region is the intersection of the regions described above.

  • take the points that are vertices inside the solutoin region.

<u>5. Test the profit function for each vertex</u>

The profit function is P(x,y) = 25x + 90y

The vertices shown in the graph are:

  • (0,0)
  • (0,50)
  • (42,36)
  • (60,0)

The profits with the vertices are:

  • P(0,0) = 0
  • P(0,50) = 25(0) + 90(50) = 4,500
  • P(42,36) = 25(42) + 90(36) = 4,290
  • P(60,0) = 25(60) + 90(0) = 1,500

Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.

3 0
2 years ago
The population of Townville in 1860 was 1500 people. The population grew at about a rate of 2.8% per year until 1960. What was t
antoniya [11.8K]

It reachs 5800 population in 1960 if i am not wrong. i'll check this out tomorrow right now i do not have enough time for it.

3 0
3 years ago
What angle is that pls​
Natali [406]

they are corresponding angles

3 0
3 years ago
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