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vaieri [72.5K]
3 years ago
12

Find the area of the shaded region. Round your answer to the nearest tenth if needed. 4B

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

136.1 inches

Step-by-step explanation:

area of a circle is r^2 x pi

this is 3/4 of a circle

1. so 3/4 x 7.6^2xpi

2. 3/4 x 57.76 x pi

3. .75 x 57.76 x pi

4. 136.1

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Please help! Find the domain of y = 4 square root 4x + 2
olga55 [171]

Answer:

x ≥ -1/2

Step-by-step explanation:

We know that we cannot graph imaginary numbers. Therefore, our <em>x </em>value has to be greater than or equal to 0:

To find our domain, we need to set the square root equal to zero:

√(4x + 2) = 0

4x + 2 = 0

4x = -2

x = -1/2

We now know that no value below -1/2 can be used or we will get an imaginary number. Therefore, our answer is x ≥ -1/2

Alternatively, we can graph the function and analyze domain:

3 0
2 years ago
The force of gravity on Mars is different than on Earth. The function of the same situation on Mars would be represented by the
sweet-ann [11.9K]

Answer:

If thrown up with the same speed, the ball will go highest in Mars, and also it would take the ball longest to reach the maximum and as well to return to the ground.

Step-by-step explanation:

Keep in mind that the gravity on Mars; surface is less (about just 38%) of the acceleration of gravity on Earth's surface. Then when we use the kinematic formulas:

v=v_0+a\,*\,t\\y-y_0=v_0\,* t + \frac{1}{2} a\,\,t^2

the acceleration (which by the way is a negative number since acts opposite the initial velocity and displacement when we throw an object up on either planet.

Therefore, throwing the ball straight up makes the time for when the object stops going up and starts coming down (at the maximum height the object gets) the following:

v=v_0+a\,*\,t\\0=v_0-g\,*\,t\\t=\frac{v_0}{t}

When we use this to replace the 't" in the displacement formula, we et:

y-y_0=v_0\,* t + \frac{1}{2} a\,\,t^2\\y-y_0=v_0\,(\frac{v_0}{g} )-\frac{g}{2} \,(\frac{v_0}{g} )^2\\y-y_0=\frac{1}{2} \frac{v_0^2}{g}

This tells us that the smaller the value of "g", the highest the ball will go (g is in the denominator so a small value makes the quotient larger)

And we can also answer the question about time, since given the same initial velocity v_0 , the smaller the value of "g", the larger the value for the time to reach the maximum, and similarly to reach the ground when coming back down, since the acceleration is smaller (will take longer in Mars to cover the same distance)

3 0
2 years ago
If you flip a coin 150 times about how many times would you expect to get heads
meriva
A coin has two sides, which means it has a 1/2 chance of landing on each individual side when you flip the coin. Since there is a 1/2 chance of landing on each side, you could expect the coin to land on "Heads' 75 times. 
3 0
3 years ago
Sam wants to leave an 18% tip for his dinner. The bill is for $23.50. Which equation could be used to find the total amount that
lora16 [44]

Answer:

(0.18 x 23.50) + 23.50

Step-by-step explanation:

First, find the percentage of 23.50 (equation in the parenthesis). 18% is equivalent to 0.18. Then, you add that to 23.50. That's the total amount Sam should pay. I hope this makes sense.

3 0
2 years ago
A merchant has coffee worth $20.00 per pound that she wishes to mix with 70 pounds of coffee with​ $90.00 per pound to get a mix
Crank

20x-1000 +4000 = 60x

20x-60x= -4000 +1000

-40x= -3000

x= -3000/-40

75 The mix will be 75 lbs

And $20 coffee will be 75 -50 = 25lbs


6 0
2 years ago
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