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3 years ago

Find the volume of the rectangular prism. Write your answer in simplest form. No links please

Mathematics

1 answer:

raketka [301]3 years ago

8 0

Answer:

0.055m³

Step-by-step explanation:

V = w × h × l = 0.11 × 0.73 × 0.65 = 0.054611m³

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Calculate the amount of money you'll have at the end of the indicated time period.

Shalnov [3]

The amount of money you'll have at the end of 10 years is $3900.

Given that, P=$3000, R=3% and T=10 years.

<h3>What is the formula to find the simple interest?</h3>

The formula to find the simple interest is $Interest=\frac{P \times T \times R}{100}$ .

Now, simple interest $=\frac{3000 \times 10 \times 3}{100}=\$900$ .

Amount=Simple Interest+Principal

=900+3000=$3900

Therefore, the amount of money you'll have at the end of 10 years is $3900.

To learn more about the simple interest visit:

brainly.com/question/25845758.

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2 years ago

Verify the identity (tan x + 1)^2 + (tan x-1)^2= 2 sec^2 x

Elina [12.6K]

$(\tan x+1)^2+(\tan x-1)^2=2\sec^2x\\\\\text{use}\ \tan x=\dfrac{\sin x}{\cos x}\\\\L_s=\left(\dfrac{\sin x}{\cos x}+\dfrac{\cos x}{\cos x}\right)^2+\left(\dfrac{\sin x}{\cos x}-\dfrac{\cos x}{\cos x}\right)^2\\\\=\left(\dfrac{\sin x+\cos x}{\cos x}\right)^2+\left(\dfrac{\sin x-\cos x}{\cos x}\right)^2\\\\=\dfrac{(\sin x+\cos x)^2}{\cos^2x}+\dfrac{(\sin x-\cos x)^2}{\cos^2x}\\\\\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2$

$=\dfrac{\sin^2x+2\sin x\cos x+\cos^2}{\cos^2x}+\dfrac{\sin^2x-2\sin x\cos x+\cos^2}{\cos^2x}\\\\=\dfrac{\sin^2x+2\sin x\cos x+\cos^2+\sin^2x-2\sin x\cos x+\cos^2}{\cos^2x}\\\\=\dfrac{2\sin^2x+2\cos^2x}{\cos^2x}=\dfrac{2(\sin^2x+\cos^2x)}{\cos^2x}\\\\\text{use}\ \sin^2x+\cos^2x=1\\\\=\dfrac{2(1)}{\cos^2x}=2\cdot\dfrac{1}{\cos^2x}=2\left(\dfrac{1}{\cos x}\right)^2\\\\\text{use}\ \sec x=\dfrac{1}{\cos x}\\\\=2(\sec^2x)=2\sec^2x=R_s\\\\L_s=R_s\Rightarrow The\ identity$

4 0

3 years ago

Two number cubes are rolled to determine how a token moves on a game board. The sides of each number cube are numbered 1, 2, 3,

lord [1]

The mathematical expectation of Option A is 4. The mathematical expectation of Option B is 2.75. Option A offers a greater likelihood of advancing to the finish line.

7 0

3 years ago

PLEASE HELP!!! i’ll give brainliest

tekilochka [14]

Answer:

x = $\sqrt{164$

Step-by-step explanation:

In order to find the hypothenuse, you need to do $8^{2} + 10^{2}$ . Which equals 164. Therefore, since $a^{2} +b^{2} =c^{2}$ , a=8, b=10, and c= $\sqrt{164$ .

8 0

3 years ago

Please help with these 3 questions

Sever21 [200]

Answer: x = 11

Step-by-step explanation:

2x+5 = 3x-6

2x-3x = -6-5

-x = -11

x = 11

Double-check:
11*2= 22 11*3=33

22+5 = 27 33-6= 27

4 0

2 years ago