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3 years ago

Answer the following 2 questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!

2 answers:

5 0

1. $\mathrm{Expand\:}6\left(6x-2\right)+8\left(1-5x\right)\\-4x-4=2x\\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\-4x-4+4=2x+4\\Simplify\\-4x=2x+4\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\-4x-2x=2x+4-2x\\\mathrm{Simplify}: -6x=4\\\mathrm{Divide\:both\:sides\:by\:}-6: \frac{-6x}{-6}=\frac{4}{-6}\\Simplify\\x=-\frac{2}{3}$

2. $\mathrm{Expand\:}2\left(x+5\right)\\2x+10=2x+5\\\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}\\2x+10-10=2x+5-10\\Simplify\\2x=2x-5\\\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\\2x-2x=2x-5-2x\\Simplify\\0=-5\\The\:sides\:are\:not\:equal\\No\:Solution$

Nitella [24]3 years ago

4 0

1. Solve and identify the solution. 6(6x - 2) + 8(1 - 5x) = 2x

Answer: D) x = -2/3

2. Solve and identify the solution. 2(x + 5) = 2x + 5

C) no solution

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In ABC, angle C is a right angle. Which statement must be true

KatRina [158]

Answer:

Step-by-step explanation:

a because the the sin is opposite divided by hypotenuse and the opposite of a is 12 and the hypotenuse is 13 so sin a would be 12/13

this is equals to the cosine of b because cos is adjacent/hypotenuse and the adjacent of b is 12 and the hypotenuse is 13 so cos b would be 12/13

hope this helps :)

4 0

3 years ago

Solve the equation for X.

Svetllana [295]

Answer:

x = - $\frac{11}{8}$

Step-by-step explanation:

Given

(x - 4) - (x + 7 ) = 8x

Distribute parenthesis noting second is distributed by - 1

x - 4 - x - 7 = 8x ← simplify left side

- 11 = 8x ( divide both sides by 8 )

x = - $\frac{11}{8}$

3 0

3 years ago

Please help me!! <br>The picture of the question is attached

zvonat [6]

Answer:

x = 240°, x = 300°

Step-by-step explanation:

Using the identity

sin x = $\frac{1}{cosecx}$ = $\frac{1}{-\frac{2}{\sqrt{3} } }$ = - $\frac{\sqrt{3} }{2}$ , then

x = $sin^{-1}$ ( $\frac{\sqrt{3} }{2}$ ) = 60° ← related acute angle

Since sin x < 0 then x is in 3rd / 4th quadrants

x = 180° + 60° = 240°

x = 360° - 60° = 300°

7 0

3 years ago

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

A cube shaped tissue box is made entirely of cardboard. The tissue box has a length of 5 in.

Daniel [21]

A cube has equal length, height and depth.

The area of one face is 5inches * 5inches, which would equal 25inches^2.

Multiply this by 6, for the 6 faces on a cube, and we get 150inches^2 of cardboard.

5 0

4 years ago

Read 2 more answers