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1 year ago

Barely learning this in school and not understanding it yet help

Mathematics

2 answers:

omeli [17]1 year ago

8 0

Answer:

The answer is in the picture I hope that is right

Step-by-step explanation:

Lera25 [3.4K]1 year ago

5 0

ANSWER

$x=2184.67$

EXPLANATION

We want to solve the given equation for x:

$-3+8\log _9(3x+7)=29$

First, add 3 to both sides of the equation:

$\begin{gathered} -3+3+8\log _9(3x+7)=29+3 \\ 8\log _9(3x+7)=32 \end{gathered}$

Divide both sides by 8:

$\begin{gathered} \frac{8}{8}\log _9(3x+7)=\frac{32}{8} \\ \log _9(3x+7)=4 \end{gathered}$

Convert from a logarithmic equation to an exponential equation:

$\begin{gathered} \Rightarrow9^4=3x+7 \\ \Rightarrow3x+7=6561 \end{gathered}$

Subtract 7 from both sides of the equation:

$\begin{gathered} 3x+7-7=6561-7 \\ 3x=6554 \end{gathered}$

Divide both sides by 3:

$\begin{gathered} \frac{3x}{3}=\frac{6554}{3} \\ x=2184.67 \end{gathered}$

That is the value of x.

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I need help$!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Leni [432]

The answer is 106 degrees. This is because 22 degrees + 52 degrees + 106 degrees = 180 degrees, completing the angles.

Hope this helps!

4 0

3 years ago

Read 2 more answers

A box with no top is to be constructed from a piece of cardboard whose length measures 5 in. more than its width. The box is to

ddd [48]

Answer:

$9\text{ inch, }14\text{ inch, }2\text{ inch}$

Step-by-step explanation:

GIVEN: A box with no top is to be constructed from a piece of cardboard whose length measures $5\text{ inch}$ more than its width. The box is to be formed by cutting squares that measure $2\text{ inch}$ on each side from the four corners and then folding up the sides.

TO FIND: If the volume of the box will be $100\text{ inch}^3$ , what are the dimensions of the piece of cardboard.

SOLUTION:

Let the width of cardboard be $x$

length of cardboard $=x+5\text{ inch}$

As box is formed by cutting $2\text{ inch }$ squares from corners of cardboard

length of cardboard $=x+5-4=x+1\text{ inch}$

width of cardboard $=x-4\text{ inch}$

height of cardboard $=2\text{ inch}$

volume of cardboard $=\text{length}\times\text{width}\times\text{height}$

$=2(x+1)(x-4)$

$x^2-3x-54=0$

solving we get

$x=9,-6$

width of cardboard $=9\text{ inch}$

length of cardboard $=x+5=14\text{ inch}$

height of cardboard $=2\text{ inch}$

8 0

3 years ago

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.

Natali [406]

The answer to what the length of the leg would be is 15.

You would do this problem by first writing down your Pythagorean Theorem, which is a^2 + b^2 = c^2.

Since we have our hypotenuse which is c^2 in our equation, we would write or insert the number we have.

So our equation could be that a or b leg equals 20, it doesn’t matter which one.

So we could write, 20^2 + b^2 = 25^2. So we don’t know what b leg is.

First we should figure out what 20^2 is and what 25^2 is.

20^2 is 400 and 25^2 is 625.

Our equation now comes to 400 + b^2 = 625.

Now we take 400 and subtract it from
625 -> 400 + b^2 = 625
-400.

So 625 - 400 comes out to be 225.

Lastly instead of squaring or putting 225 to the second power, we do the opposite.

So instead of squaring 225 we must square root 225. √ 225 .

The square root of √ 225 comes out to be 15.