Give your answer as a fraction in simplest form. <br> -3 1/2 divided by .25

Ten points - Check attached image

Rudiy27

Answer:

Option D will be the correct option.

Step-by-step explanation:

Formula to get the area of the sector,

Area of the sector = $\frac{\theta}{360}(\pi r^{2})$

Here θ = Angle subtended by the arc of the sector at the center

r = radius of the circle

Area of the shaded sector = $\frac{155}{360}\times \pi (4.3)^2$

= 25.01 square inches

Area of the shaded sector will be 25 square inches (approximately).

Option D will be the correct option.

8 0

4 years ago

Jennifer has 25 coins with a total value of $4.25. The coins are quarters and nickels. How many of each does she have?

andrezito [222]

Answer:

15 quarters and 10 nickels

Step-by-step explanation:

$q+n=25$

$0.25q+0.05n=4.25$

multiply the first equation by -0.25 and add the second equation to it

$-0.25q-0.25n=-6.25\\0.25q+0.05n=4.25$
________________
$-0.2n=-2$

$n=\frac{-2}{-0.2} =10$ has 10 nickels

$q=25-n=25-10=15$ has 15 quarters

10(.05) +15(0.25) = 0.5 + 3.75 = 4.25

Hope this helps

4 0

2 years ago

The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.

Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

$h(t)=-16t^2+80t+64$

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A) Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

so

For h(t)=0

$-16t^2+80t+64=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+80t+64=0$

so

$a=-16\\b=80\\c=64$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{10,496}} {-32}$

$t=\frac{-80+\sqrt{10,496}} {-32}=-0.70$

$t=\frac{-80-\sqrt{10,496}} {-32}=5.70$

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

$-16t^2+80t+64=40$

$-16t^2+80t+24=0$

Solve the quadratic equation

we have

$a=-16\\b=80\\c=24$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{7,936}} {-32}$

$t=\frac{-80+\sqrt{7,936}} {-32}=-0.28$

$t=\frac{-80-\sqrt{7,936}} {-32}=5.28$

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

3 0

3 years ago

You roll a fair 666-sided die. What is \text{P(roll greater than 4})P(roll greater than 4)P, left parenthesis, r, o, l, l, space

enyata [817]

Answer:

0.5

Step-by-step explanation:

I found this out because I am smart

7 0

4 years ago

If 5 pounds of broccoli cost is $12 then how much will 7 pounds of broccoli cost?

xeze [42]

7 pounds costs $16.4 I think

8 0

3 years ago

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Give your answer as a fraction in simplest form. -3 1/2 divided by .25