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scZoUnD [109]
3 years ago
9

Henry mowed 37 lawns out of 60 lawns. what percent of the lawns does henry stilln need to mow

Mathematics
1 answer:
Anarel [89]3 years ago
7 0

Answer:

38 %  

Step-by-step explanation:

1. Percent of lawns mowed

\text{Percent} = \dfrac{\text{Lawns mowed}}{\text{No. of lawns}} \times 100 \% = \dfrac{37}{60} \times 100 \% = 62 \%}

2. Percent of lawns unmowed

% Unmowed = 100 % - 62 % = 38 %

Henry still needs to mow 38 % of the lawns.

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A kite flying in the air has a 12 line attached to it. Its line is pulled taut and casts a 9 shadow. Find the height of the kite
alexira [117]

Answer:

8 (7.94)

Step-by-step explanation:

You can think of it as a geometry problem.

What is formed here is a triangle, which sides ate: the line, the line's shadow, and the height from the ground to the kite (here I attach a drawing).

What you need to find is the height. We will call it H.

As the triangle formed is a right one, we can use Pitágoras' theorem. The height H squared plus the squared of the shadow is equal to the squared of the line (the hypotenuse). This is:

H^2 + 9^2 = 12^2

H^2 + 81= 144

H^2 = 63

Applying squared root in both sides

H = √63

H = 7,94

So, the height is approximately 8.

4 0
3 years ago
a rectangles perimeter and area have the same numerical value. the width of the rectangle is 9 units . what is the length of the
attashe74 [19]

Answer:

Step-by-step explanation:

let the length of rectangle=l units

width=9

p=2(l+9)

area=9l

9l=2(l+9)

9l=2l+18

7l=18

l=18/7 units

5 0
3 years ago
Help me in all of these,plz show your work
jenyasd209 [6]
To find the area of all of the figures, all you need to do is base x height or the length x width.
Your answers for 1-6 are all correct.
For 7-9, remember that the area is the length times the width. 
7) length x width, 42 x 30=1260 
8) 17 x 22= 374
9) Since the length and width are the same in a square just multiply the side by itself. 2.7 x 2.7= 7.29
Hope this helps.
5 0
3 years ago
See attachment for the full question
alexandr402 [8]

The inverse of the demand function is; P = 9 - 0.25Q

The profit-maximizing price and quantity are; $8.5 and 2 units.

The maximum profit is; $1

<h3>How to find the inverse of a function?</h3>

A) The demand function we are given is;

Q = 36 - 4P

Making P the subject gives the inverse demand function;

P = (36 - Q)/4

P = 9 - Q/4

P = 9 - 0.25Q

B) The profit-maximization point is the point at which MR = MC.

MR refers to the marginal revenue and MC is the marginal cost.

MC can be calculated as the first derivative of the cost function:

C(Q) = 4 + 4Q + Q²

MC = C'(Q) = 2Q + 4

Total Revenue = Price * Quantity

Total Revenue = (9 - 0.25Q) * Q

Total Revenue = 9Q - 0.25Q²

MR is gotten by differentiating Total Revenue to get;

MR = 9 - 0.5Q

Applying the condition MR = MC, we have;

9 - 0.5Q = 4 - 2Q

Solving for Q gives Q = 2

Thus, profit maximizing quantity is 2.

Thus, profit maximizing price will be;

P(2) = 9 - 0.25(2)

P(2) = $8.5

C) Formula for Maximum Profit is;

Profit = Total Revenue - Total Cost

Total Revenue = 8.5 * 2

Total revenue = $17

Total Cost is;

C(2) = 4 + 4(2) + 2²

C(2) = $16

Thus;

Maximum Profit = 17 - 16 = $1

Read more about Inverse of a function at; brainly.com/question/13948067

#SPJ1

3 0
2 years ago
What’s the awnser for this question I do not understand
ella [17]

Answer:

the total surface area is 40 + 12 + 15 = 67 square units

Step-by-step explanation:

Refer to the diagram:  

the combined area of the top and bottom is 2(5·4) = 40:

the combined area of the ends is 2(1.5·4) = 12; and

the combined area of the front and back is 2( 5 · 1.5) = 15

and so the total surface area is 40 + 12 + 15 = 67 square units

6 0
3 years ago
Read 2 more answers
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