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3 years ago

Sam spins a wheel shown below. What is the probability that it lands ona number less than 6?*

Mathematics

1 answer:

Verdich [7]3 years ago

6 0

Answer:

No wheel shown

Step-by-step explanation:

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Find the value of X, rounded to the nearest tenth. <br> A. 31.8<br> B. 31.4<br> C. 10.3<br> D. 10.7

Molodets [167]

Answer:

31.4

Step-by-step explanation:

x=18/sin35

x= 31.38

=31.4(nearest tenth )

4 0

2 years ago

The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

7 0

3 years ago

Identify a pair of supplementary angles in the figure. answers : 2 and 4 1 and 6 1 and 5 5 and 6

Nuetrik [128]

Answer:

2 and 4

Step-by-step explanation:

This is the only one where the two angles add up to 180 degrees, aka, a straight line.

6 0

3 years ago

3 lawns in 9 hours.what was the rate of mowing in hours per lawn

k0ka [10]

Answer:

Step-by-step explanation:

3 = 9 \:th \\ 1 = 3 \\ 3 \times 3 = 9 \\ 9 \div 3 = 3 \\ so \: that \: answer \: is \: 3

6 0

3 years ago

Read 2 more answers

The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to

DerKrebs [107]

Answer:

Option 4 is correct.

The equation $4x^2 -24x + 4y^2 + 72y = 76$ is equivalent to $4(x-3)^2 + 4(y+9)^2 =436$

Step-by-step explanation:'

Given equation: $4x^2 -24x + 4y^2 + 72y = 76$

First group the terms with x and those with y;

$(4x^2-24x)+(4y^2+72y) = 76$

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒ $4(x^2-6x) +4(y+18y) = 76$

$4(x^2 -6x +3^2 -3^2) + 4(y^2 +18y +9^2 -9^2) = 76$

$4(x^2-6x + 3^2) - 36 + 4(y^2+18y +9^2) - 324 = 76$

$4(x-3)^2 + 4(y+9)^2 - 360 =76$

Add 360 on both sides we get;

$4(x-3)^2 + 4(y+9)^2 =360 +76$

Simplify:

$4(x-3)^2 + 4(y+9)^2 =436$

Therefore, the given equation is equivalent to $4(x-3)^2 + 4(y+9)^2 =436$

5 0

3 years ago

Sam spins a wheel shown below. What is the probability that it lands ona number less than 6?*​

Sam spins a wheel shown below. What is the probability that it lands ona number less than 6?*