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3 years ago

If the sphere shown above has a radius of 15 units , then what is the volume of the sphere ?

Mathematics

2 answers:

elena-s [515]3 years ago

8 0

Answer:

4,500 cubic units

Step-by-step explanation:

Ket [755]3 years ago

7 0

Answer:

4,500 cubic units

Have a good day.

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Tell whether a triangle can have sides with the given lengths explain? Explain. 4,7,10

Evgen [1.6K]

Use the pythagorean theorem. So 4^2 + 7^2 = 10^2. Simplify to 16+49=100. This simplifies to 65=100 which is not true so these sides cannot make a triangle.

4 0

4 years ago

A shoe store buys a pair of boots from a supplier for $45. The store's manager decides on a markup of 35%. What is the new price

Gnom [1K]

Answer:

The new price of the books = $60.75

Step-by-step explanation:

As the original price is: $45

As the markup is: 35% = 35/100 = 0.35

The Markup on the original price is:

0.35 × 45 = $15.75

Hence, the new price of the boots:

$45 + $15.75 = $60.75

Therefore, the new price of the books = $60.75

6 0

3 years ago

Solve for x in the equation x2 + 14x+17--96

Veseljchak [2.6K]

Answer:

Option B.

Step-by-step explanation:

If a quadratic equation is defined as $ax^2+bx+c=0$ , the by quadratic formula

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

Consider the given equation is

$x^2+14x+17=-96$

We need to find the value of x.

Add 96 on both sides.

$x^2+14x+17+96=-96+96$

$x^2+14x+113=0$

Here, a=1, b=14 and c=113. Using quadratic formula we get

$x=\dfrac{-14\pm \sqrt{14^2-4(1)(113)}}{2(1)}$

$x=\dfrac{-14\pm \sqrt{-256}}{2(1)}$

$x=\dfrac{-14\pm \sqrt{256}\sqrt{-1}}{2}$ $(\sqrt{-1}=i)$

$x=\dfrac{-14\pm 16i}{2}$

$x=-7\pm 8i$

The value of x are x=-7 + 8i and x=-7 - 8i.

Therefore, the correct option is B.

8 0

3 years ago

Melanie invested $9,800 in an account paying an interest rate of 4.5 compounded quarterly. Amelia invested $9,800 in an account

Zolol [24]

Answer:

$13,082.60 more

Step-by-step explanation:

Melanie:

$A=P(1+\frac{r}{n})^(20)\\ A=9800(1+\frac{.045}{4})^(20)\\A=$12,257.36$

Amelia:

$A=Pe^(rt)\\A=9800e^(.0475*20)\\A=$25,339.95$

Amelia-Melanie= $13,082.60

6 0

3 years ago

What is the y- intercept of a line that has a slope of 2 and passes through (-1,3)?

pentagon [3]

Answer:

y - intercept = 5

Step-by-step explanation:

Equation: y = mx + b

Input the given values

3 = -1(2) + b

3 = -2 + b

5 = b

-Chetan K

8 0

3 years ago