All categories

2 years ago

Root 8-3 root 32 + 4 root 50

Mathematics

1 answer:

Bess [88]2 years ago

3 0

Answer:

$10\sqrt{2}$

Step-by-step explanation:

$\sqrt{8} -3\sqrt{32} +4\sqrt{50}$

We can try to simplify first.

$2\sqrt{2}-12\sqrt{2} +20\sqrt{2}$

Now we can combine the like terms:

$= 10\sqrt{2}$

hope this helped! :)

You might be interested in

Find the volume of the garden shed

Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

$\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}$

<h3><u>Volume of a pyramid</u></h3>

<u />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

$\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}$

Therefore:

$\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}$

<h3><u>Volume of the garden shed</u></h3>

$\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}$

6 0

1 year ago

Read 2 more answers

Use the linear combination method to solve this system of equations. What is the value of x? -2.4 x - 3.6 y = 1.2. 2.4 x + 1.2 y

Gennadij [26K]

Answer:

this is the graph and answer :D

Step-by-step explanation:

8 0

3 years ago

A soda company had sales of $35,107 million in 2010 and $45,992 million in 2014. Use the Midpoint Formula to estimate the sales

Dima020 [189]

Answer:

40,550

Step-by-step explanation:

40, 550 is the mod point

8 0

3 years ago

WILL GIVE BRAINLIEST HURRY PLEASE

ANTONII [103]

Answer:

Step-by-step explanation:

7 0

3 years ago

Help me answer this please:)

Dmitrij [34]

Answer:

A and B

Step-by-step explanation:

$\frac{7x+6}{2}\leq 3x+2 < ==multiply\ both\ sides\ by\ 2\\2(\frac{7x+6}{2}\leq 3x+2)\\\\7x+6\leq6x+4 < ==subtract\ -6x\ from\ both\ sides\ \\-6x \ \ -6x\\\\x+6\leq4 < ==subtract\ 6\ from\ both\ sides\\-6 \ \ \ -6\\\\x\leq-2 < ==answer\ should\ be\ anything\ less\ than\ or\ equal\ to\ -2$

Now, look at your answer choices, which options are less than or equal to -2?

x ≤ -2, Check your answers:

A. -3 ≤ -2?

This statement is correct (-3 is < -2)

B. -2 ≤ -2 <== our original answer

This statement is correct (-2 is = to -2)

C. -1 ≤ -2

This statement is incorrect (-1 is > -2, not ≤ -2)

D. 0 ≤ -2

This statement is incorrect (0 is > -2, not ≤ -2)

E. 1 < -2

This statement is incorrect (1 is > -2, not ≤ -2)

Therefore, the correct options are A and B

Hope this helps!

6 0

3 years ago

Root 8-3 root 32 + 4 root 50 ​

Root 8-3 root 32 + 4 root 50