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Mashutka [201]
3 years ago
6

Can someone please help me?

Mathematics
1 answer:
mojhsa [17]3 years ago
4 0
First find out the triangle (red) in the top left.
(6 \times (12 - 8)) \div 2 \\ (6 \times 3) \div 2 \\ 18 \div 2 \\ 9
The area of a triangle is found by length times width and divide it all by 2 because a triangle is half of a square. Now we multiply that by 2 for the second triangle (in green) at the bottom. We can do this because the blue does to the half way mark on the quilt so the other triangle on the bottom has to be the same.
9 \times 2 = 18
Now we find out the area of the whole SQUARE quilt. It already gave the measurement of one side so they all have to be the same.
12 \times 12 = 144
Now we only need the area of the side the blue is on. So divide by 2 and get 72.
Now subtract 18 from 72.

The answer is 54 for blue.
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The radius of a circle is changing at the rate of 1/π inches per second. At what rate, in square inches per second, is the circl
MAXImum [283]

Answer:

10 square inches per second.

Step-by-step explanation:

The radius of the circle is given by the equation:

r(t) = (1/π  in/s)*t

Where time in seconds.

Remember that the area of a circle of radius R is written as:

A = π*R^2

Then the area of our circle will be:

A(t) = π*( (1/π  in/s)*t)^2 = π*(1/π  in/s)^2*(t)^2

Now we want to find the rate of change (the first derivation of the area) when the radius is equal to 5 inches.

Then the first thing we need to do is find the value of t such that the radius is equal to 5 inches.

r(t) = 5 in =  (1/  in/s)*t

       5in*(π s/in) = t

        5*π s = t

So the radius will be equal to 5 inches after 5*π seconds, let's remember that.

Now let's find the first derivate of A(t)

dA(t)/dt = A'(t) = 2*(π*(1/π  in/s)^2*t = (2*π*t)*(1/π  in/s)^2

Now we need to evaluate this in the time such that the radius is equal to 5 inches, we will get:

A'(5*π s) = (2*π*5*π s)*((1/π  in/s)^2

              = (10*π^2  s)*(1/π^2  in^2/s^2) = 10 in^2/s

The rate of change is 10 square inches per second.

4 0
3 years ago
What is the perimeter of this tile?
Slav-nsk [51]

Answer:

6x2=12

Step-by-step explanation:

5 0
3 years ago
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3. Which situation is best represented by the expression 4h +27
Fiesta28 [93]

Answer:

D. Kepa will be paid $4 for every hour of babysitting plus $2 for travel

costs.​

Step-by-step explanation:

Are you sure that 7  belongs on the +27? or is it just supposed to be +2?

3 0
3 years ago
Deacon had 12 1/3 ounces of juice, but he drank 3 2/3 ounces. How much juice is left?
alexandr1967 [171]
You need to know:

a  \frac{b}{c} = a + \frac{b}{c} = \frac{(a*c) + b}{c}

Be careful though:

a \frac{b}{c} ≠ a(\frac{b}{c})

Using this principle, we can say:
12 1/3 = 37/3
3 2/3 = 11/3
Quantity of juice left = Initial quantity - Quantity drunk
So:
Quantity of juice left = 37/3 - 11/3 = 26/3

There will be 26/3 ounces of juice remaining after 3 2/3 are drunk from the total of 12 1/3 ounces that Deacon had initially.
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216= child tickets
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