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Fiesta28 [93]
3 years ago
7

Krista is planning to mow her grandparents lawn the rectangular yard is 10 yards by 12 yards but there is a square patio that ha

s 12 foot sides in the middle of Krista kenmo 15 square feet per minute about how long will it take to finish the yard
Mathematics
1 answer:
kompoz [17]3 years ago
4 0
<span>First fine the total area of the yard 10 yards x 12 yards = 120 yards^2 Now find the area of the patio in yards 1 yard = 3 ft and each side of the patio is 12 ft --> 4 yards so the patio sides are 4 yds 4 yrds x 4 yrds = 16 yards To find the area of the yard only: 120 yards^2 - 16 yards^2 = 104 yards^2 Krista needs to mow 104 yards^2 total. And she can do 15 ft^2 per minute need the same units so convert the yards to feet 104 yards^2 x 3 ft/yard X 3 ft/yard = 936 ft^2 To find the minutes, divide the total by the amount she can do in one minute: 936 ft^2/15 ft^2 = 62.4 62.4 minutes</span>
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Find the area of the shaded region. With steps
Roman55 [17]

Answer: the area of the shaded region is 72.96 ft²

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Diameter of circle = 16 feet

Radius = diameter/2 = 16/2 = 8 feet

Area of circle = 3.14 × 8² = 200.96ft²

The sides of the square are equal. To determine the length of each side of the square, L, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

16² = L² + L²

256 = 2L²

L² = 256/2 = 128

L = √128 ft

Area of the square is

L² = (√128)²

Area = 128 ft²

Area of shaded region is

200.96 - 128 = 72.96 ft²

4 0
3 years ago
What ratio is proportional to 18/21
Doss [256]

Answer:

There are many.

Step-by-step explanation:

When you say proportional, you are looking for a ratio that is equivalent to the ratio given. In your case, there are many so you might need to be more specific. But still, we can help you figure it out.

An easy way to do this would be to scale it down to its simplest form and then move upwards. To find proportional ratios, just multiply denominator and the denominator with the same factor.

\dfrac{18}{21} = \dfrac{6}{7}

That is your ratio in its simplest form. Now we can scale up, I'll show you how to do one completely:

\dfrac{6}{7} x \dfrac{2}{2} = \dfrac{12}{14}

That's the same ratio scaled up by a factor of 2.

---------------------------------------------------------------------------------------

\dfrac{6}{7} x \dfrac{3}{3} = \dfrac{18}{21}

That's the ratio given

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\dfrac{6}{7} x \dfrac{4}{4} = \dfrac{24}{28}

Scaled up by a factor of 4

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\dfrac{6}{7} x \dfrac{5}{5} = \dfrac{30}{35}

Scaled up by a factor of 5.

The list goes on and on.


3 0
3 years ago
How many pieces ,each of length 3 ¾ m can be cut from a rope of length 30m?​
Nadusha1986 [10]

Answer:

8

Step-by-step explanation:

Divide 30 by 3.75 to get 8.

Hope that this helps!

3 0
3 years ago
What property describes the number sentence 6+0=6
yawa3891 [41]
The identity property. the same applies for n*1=n.
8 0
3 years ago
INCREDIBLY URGENT!
klemol [59]

Answer:

a) By graphing just one interval of length T. b) Infinite number of angles, c) Infinite times.

Step-by-step explanation:

Any function is periodical when:

f(t) = f(t+i\cdot T), \forall i \in \mathbb{N}_{O}

Where T is the period of the function. The periodicity of the function allows us to limit the graphing of the function to just an interval of one period and according to the definition, you can expect same output with n different angles (infinite number of angles and same output infinite times).

4 0
3 years ago
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