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3 years ago

What is the answer?

Mathematics

1 answer:

Inga [223]3 years ago

5 0

Answer:

1) 189.25 square inches

2) 21 square feet

Step-by-step explanation:

1) In order to find the area of a semicircle, you use (πr^2)/2. When you plug in 3.14 as pi and 5 as your radius, you'll get 39.25. The area of the rectangle is base x height which is 10 x 15/150. 150 + 39.25 = 189.25

2) If you draw a vertical line that is parallel to the 2 feet measure, you'll have two rectangles with areas (5x3) and (3x2). 15 + 6 = 21

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7. What is the slope in the equation y=-6x+4?

lana [24]

7. The slope is the number with the x next to it, so it would be -6x

8. The y-Intercept is the number WITHOUT the x, in this case would be -5

9. You always want the equation to be in y = M(slope)x + b(y-intercept). Subtract 2x on both sides to get 4y = -2x + 12. Divide both sides by 4 to leave y by itself. That leaves us with y = -1/2 + 3

10. Same thing minus x on both sides to get -3y = -x + 6. And since you don’t want a negative y, you need to divide by a negative. Divide both sides by -3 to get y = 1/3 -2. When you divide a number by a negative, it changes the sign in front of the number.
Hope this helps!

5 0

3 years ago

A man receives an annual increase of #30000 and after a period of 10 years service, the man has the salary of #1014. Find his in

Paladinen [302]

I think you intended writing #30 as his pay rise instead of #30000. I solved the problem using #30 as his annual pay rise.

Answer:

The man's initial salary was #714

Step-by-step explanation:

Extracting the key information from the question:

*** A man got a pay raise for 10 years.

*** His current salary is #1,014

*** He gets a pay raise of #30 annually.

*** We are simply required to calculate his initial salary before he started receiving pay rise.

Now, To calculate his initial salary before he started receiving pay rise, let us denote that initial salary that we are currently unaware of by "a".

Since his salary as at today is #1,014 and he has also received this pay rise of #30 for 10 years, we can calculate his initial salary before he started receiving pay rise every year with the following equation:

a + 30(10) = 1014

That is -

Initial salary + [pay rise × number of years] = current salary.

a + 30(10) = 1,014

a + 300 = 1014

a = 1014 - 300

a = #714

Therefore the man's initial salary was #714

7 0

3 years ago

Compare 1/2 with 3/4 using ( <,>,=)

irga5000 [103]

1/2 < 3/4

1/2 is = 2/4

and 2/4 < 3/4
therefore 1/2 must be < 3/4

5 0

3 years ago

Read 2 more answers

Solve 7e^(2x)-5>58. Round to the nearest hundredth.

7nadin3 [17]

Answer:

$x\gtrapprox1.1$

Step-by-step explanation:

$7e^{2x}-5>58$

$7e^{2x}>63$

$e^{2x}>9$

$2x>ln(9)$

$x>\frac{ln(9)}{2}$

$x\gtrapprox1.1$

5 0

3 years ago

A square 20 cm long and a rectangle 24 cm long have the same perimeter. Find the area of the rectangle.

Nitella [24]

20 * 4 = 80 = perimeter of the square 24*2 = 48, the length of two sides of the rectangle. Deducting from 80 we are left with 32 and dividing by 2 we know the rectangle is 24 x 16 Area = L * W, so you can calculate the area of the rectangle.
384

4 0

3 years ago

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