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2 years ago

56. Mikayla is filling a glass sphere with water.

Mathematics

1 answer:

kirill [66]2 years ago

8 0

Answer:

The minimum amount of water to fill the sphere is $904.32\ in^{3}$

Step-by-step explanation:

we know that

The volume of the sphere (glass sphere) is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=12/2=6\ in$ ----> the radius is half the diameter

assume

$\pi =3.14$

substitute

$V=\frac{4}{3}(3.14)(6)^{3}$

$V=904.32\ in^{3}$

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Select the correct answer. Gary throws a parachute toy from the roof of a building which has a height of 96 feet. The toy reache

Artyom0805 [142]

Answer:

Step-by-step explanation:

The height needs to start at 96

8 0

2 years ago

In parallelogram ABCD , diagonals AC⎯⎯⎯⎯⎯ and BD⎯⎯⎯⎯⎯ intersect at point E, AE=x2−16 , and CE=6x .

MAXImum [283]

Answer:

<h3>AC=96 units.</h3>

Step-by-step explanation:

We are given a parallelogram ABCD with diagonals AC and BD intersect at point E.

$AE=x^2-16.$ , and CE=6x .

<em>Note: The diagonals of a parallelogram intersects at mid-point.</em>

Therefore, AE = EC.

Plugging expressions for AE and EC, we get

$x^2-16=6x.$

Subtracting 6x from both sides, we get

$x^2-16-6x=6x-6x$

$x^2-6x-16=0$

Factoriong quadratic by product sum rule.

We need to find the factors of -16 that add upto -6.

-16 has factors -8 and +2 that add upto -6.

Therefore, factor of $x^2-6x-16=0$ quadratic is (x-8)(x+2)=0

Setting each factor equal to 0 and solve for x.

x-8=0 => x=8

x+2=0 => x=-2.

We can't take x=-2 as it's a negative number.

Therefore, plugging x=8 in EC =6x, we get

EC = 6(8) = 48.

<h3>AC = AE + EC = 48+48 =96 units.</h3>

5 0

2 years ago

Credit card A offers an introductory APR of 4.1% for the first 3 months and a standard APR of 18.5% thereafter, while credit car

vfiekz [6]

Credit card A
First 3 months:
4.1% / 360 = 0.011% x 30 = 0.34% per month for the first 3 months.
Next 9 months:
18.5% / 360 = 0.051% x 30 = 1.54% per month for the next 9 months.

Credit card B:
First 3 months
3.7% / 360 = 0.010% x 30 = 0.30% per month for the first 3 months
Next 9 months:
18.9% / 360 = 0.0525% x 30 = 1.575% per month for the next 9 months

Credit Card B is the better deal for the first 3 months.
Credit Card A is the better deal for the next 9 months.

6 0

2 years ago

Read 2 more answers

The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches. Use the Empiric

maks197457 [2]

Answer: c)[50,60]

Step-by-step explanation:

The Empirical rule says that , About 68% of the population lies with the one standard deviation from the mean (For normally distribution).

We are given that , The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches.

Then by Empirical rule, about 68% of the heights of students lies between one standard deviation from mean.

i.e. about 68% of the heights of students lies between $\text{Mean}\pm\text{Standard deviation}$