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3 years ago

Please HELP me. I've been trying to solve this question for an hour but I didn't find any answer.

Mathematics

1 answer:

Marta_Voda [28]3 years ago

5 0

Volume of a cylinder is formulated as: π·r²h
Surface area of a cylinder is formulated as: 2π·rh + 2π·r²

So, for a:
Volume = π·5²·12 = π·25·12 = 300π
Surface area = 2π·5·12 + 2π·5² = 120π + 50π = 170π

And it's essentially the same process for the other questions.

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Alja [10]

Answer:

The third one

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the slope of this graph

Elden [556K]

Answer:

The slope of the line = m = 2

Step-by-step explanation:

Given

The points

(0, 0)

(1, 2)

To determine:

The slope of this graph

Determining the slope between (0, 0) and (1, 2)

(x₁, y₁) = (0, 0)

(x₂, y₂) = (1, 2)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [2 - 0] / [1 - 0]

= 2 / 1

Thus, the slope of the line = m = 2

8 0

3 years ago

The volume of a sphere is 2 comma 143.57 m cubed. To the nearest meter, what is the radius of the sphere? Use 3.14 for pi.

miskamm [114]

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=2,143.57 \end{cases}\implies 2143.57=\cfrac{4\pi r^3}{3}\implies 6430.71=4\pi r^3 \\\\\\ \cfrac{6430.71}{4\pi }=r^3\implies \sqrt[3]{\cfrac{6430.71}{4\pi }}=r\implies \stackrel{\pi =3.14}{7.9999956 \approx r}\implies \stackrel{\textit{rounded up}}{8=r}$

7 0

3 years ago

1. You invest $2500 with annual interest rate of 4%. How much money will you have after 5 years?Use the following formula:A = P(

Yuki888 [10]

$ 3042

Explanation

we need to use the formula:

$\begin{gathered} A=P(1+r)^t \\ \text{where} \\ \text{ P is the principal} \\ r\text{ is the rate ( in decimal)} \\ t\text{ is the time} \end{gathered}$

Step 1

a)let

$\begin{gathered} P=2500 \\ r=\text{ 4\% =}\frac{4}{100}=0.04 \\ r=0.04 \\ t=5\text{ ( years)} \end{gathered}$

b) now, replace

$\begin{gathered} A=P(1+r)^t \\ A=2500(1+0.04)^5 \\ A=2500(1.04)^5 \\ A=2500(1.2166) \\ A=3041.63 \\ \text{rounded} \\ A=3042 \end{gathered}$

therefore, the answer is

$ 3042

8 0

1 year ago

The proper angle for a ladder is about 75 ∘ 75∘ from the ground. suppose you have a 14 foot ladder. how far from the house shoul

jonny [76]

We just use the sinus rule to calculate this

a / sin alpha = b / sin beta

Alpha is the 90 degree angle from the wall to the floor
beta is the angle from the top of the ladder to the wall,
wich is 90 degrees - 75 degrees (triangle has 180 degrees angles, one is 90 degrees), so beta = 15 degrees

14 foot / sin 90 = b / sin 15
sin 90 = 1
we move the sin15 over to the other side

14 foot x sin 15 = b
b = 3.62 foot

5 0

4 years ago