Find the perimeter of the composite figure

Answer:

90 in²

shoebox:

Another shoebox:

====================

[tex]\sf (\dfrac{area1}{area2})^3 = (\dfrac{volume1}{volume2} )^2[/tex]

====================

[tex]\sf \hookrightarrow (\dfrac{x}{160})^3 = (\dfrac{27}{64} )^2[/tex]

[tex]\sf \hookrightarrow \dfrac{x^3}{160^3} = \dfrac{27^2}{64^2}[/tex]

[tex]\sf \hookrightarrow \ x^3 = \dfrac{729*4096000}{4096}[/tex]

[tex]\sf \hookrightarrow \ x^3 = 729000[/tex]

[tex]\sf \hookrightarrow \ x = \sqrt[3]{729000}[/tex]

[tex]\sf \hookrightarrow \ x = 90[/tex]

Answer:

When you have a scalene triangle, the angles are less than 90 degrees, same as obtuse where the angles are bigger than 90 degrees.

Answer:

x=-5/2

Step-by-step explanation:

Hi there!

We are given the following equation:

[tex]6^{x+3} = \sqrt{6}[/tex]

We want to find the value of x

This is an exponential equation. In order to find the value of x, we need to make sure that both sides of the equation are at the same bases before we solve the equation

On the left side, we have 6 (the base) raised to the power of x+3

On the right, we have √6

Here's a trick to make this problem easier: the square root of a number is equal to that number, raised to the power of 1/2. In other words, √a is equal to [tex]a^\frac{1}{2}[/tex]

Therefore, √6 is equal to [tex]6^\frac{1}{2}[/tex]

Rewriting the equation then:

[tex]6^{x+3}=6^\frac{1}{2}[/tex]

Both sides have the same base (6)

Now we can solve the equation for x. Simply take what the exponents are, and then set them equal to each other.

This means:

x + 3 = 1/2

Subtract 3 from both sides

x+3=1/2

  -3   -3
___________

x = -5/2

Hope this helps!

Answer:

b. y = 3/4x

Step-by-step explanation:

you can count it on the graph or use the slope formula

well, she put 130 bucks, and then she got back 132.6 after one year, so the interest earned is 132.6 - 130 = $2.6, thus

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2.60\\ P=\textit{original amount deposited}\dotfill & \$130\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 2.60 = (130)(\frac{r}{100})(1)\implies 2.6=\cfrac{130r}{100}\implies 260=130r \\\\\\ \cfrac{260}{130}=r\implies 2=r[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

it doesnt say any numbers or pictures of the question can you add them

Answer:

I can't see the full question but as far as I can tell

by the picture

x=100

Answer:

5 units

Step-by-step explanation:

The volume of the cylinder is the area of the circle multiplied by it's height. Therefore, the volume of the cylinder is πr² × h, which when simplified, gives us πr²h. Let's substitute the volume and the radius in the formula to find the height.

⇒ πr²h = Volume of cylinder

⇒ (π)(3²)(h) = 45π

Now, simplify the equation to evaluate the area of the cylinder.

⇒ (π)(3²)(h)/(3²)(π) = 45π/(3²)(π)

⇒ (h) = 45π/(9)(π) = 45/(9) = 5 units

Answer:

A = 160

Step-by-step explanation:

Formula 1/2 d1d2

1/2 (16 x 20)

320 x 1/2 OR 320/2

=160

Hope this helps :)

first pic no 13

sec no 14

third no 15

shjdidifjie

Answer:

1.85

Step-by-step explanation:

So, s (sketchbook) is a+1.90.

8a+ 3(a+1.90)=26.05

8a+3a+5.7=26.05

11a=20.35

a=1.85

Check:

8x1.85=14.8

s=11.25

Answer:

A= 1.85

Step-by-step explanation:

I made an equasion

8(a) + 3(a+1.90) = 26.05

distributed

8a+ 3a + 5.70 = 26.05

Added

11a+ 5.70= 26.05

subtracted

11a= 20.35

divided

a= 1.85

Answer:

They both have polygon bases

Step-by-step explanation:

Hope this helps :)

[tex]\text{Given that, f(x) = 2x+5}\\\\f(-1) = 2(-1)+5 = -2+5= 3\\\\f(2) = 2(2)+5 = 4+5 = 9\\\\f(0) =2(0)+5 = 0+5=5\\\\f(z) = 2z+5[/tex]

Using it's concept, it is found that his net worth is given by:

C) $1,052,662

It is given by the sum of the individual assets subtracted by the sum of it's liabilities.

In this problem:

Hence, his net worth is given by:

Net worth = $1,233,000 - $180,338 = $1,052,662.

Which means that option C is correct.

More can be learned about net worth at https://brainly.com/question/27218751

Answer:

m∠5 = 75°

Step-by-step explanation:

Angle 2 and Angle 4 are the same as they are alternate interior angles.

Since m∠2 = 45°

We then have m∠4 = 45°

We are given m∠3 = 60°

Now, we just have to find 7∠5.

The sum of the angle of a triangle adds up to 180°.

So, m∠3 + m∠4 + m∠5 = 180°.

60° + 45° + m∠5 = 180°.

Solving for ∠5

m∠5  = 180° - (60° + 45°)

m∠5 = 180° - (105°)

m∠5 = 75°

Answer:

x = 1

Step-by-step explanation:

[tex]7^{4x-6}=\frac{1}{49}[/tex]

[tex]7^{4x-6}=7^{-2}[/tex]

4x - 6 = -2

4x = -2 + 6

4x = 4

(Divide both sides)

x = 1

Answer:

the answer is 662 feet

Step-by-step explanation:

becuase one eighth of a mile is 660 feet

Answer:

65⁰ because the opposite angles of parallelogram are equal...

The gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².

Total surface area (TSA) = 2(wl+hl+hw), where:

The amount of gift wrap needed to cover the whole box = total surface area of the rectangular box

l = 20 in.

w = 8 in.

h = 13 in.

Plug in the values into the formula for total surface area of a rectangular box:

TSA = 2(8×20 + 13×20 + 13×8)

TSA = 1,048 in.²

Therefore, the gift wrap needed by Damarcus = total surface area of a rectangular box = 1,048 in.².

Learn more about rectangular box on:

https://brainly.com/question/13103197

Answer:

numbers = 11, 13

Explanation:

Let the two consecutive odd numbers be: n and n + 2

==========

⇒ One number: 11

⇒ Another number: 11 + 2 = 13

The sum of two consecutive odd numbers is 24. Find the numbers .

We have to find the numbers .

In this question we have to find the numbers by assuming the numbers and forming equations to finally get the appropriate answer .

[tex] \longrightarrow \: x + 2 + x= 24[/tex]

Now adding them ,

[tex] \longrightarrow \: 2x + 2 = 24[/tex]

Now taking 2 common ,

[tex] \longrightarrow \: 2(x + 1) = 24[/tex]

Now dividing 24 by 2 ,

[tex] \longrightarrow \: x + 1 = \frac{24}{2} [/tex]

We get ,

[tex] \longrightarrow \: x + 1 = 12[/tex]

Now transposing 1 to right hand side ,

[tex] \longrightarrow \: x = 12 - 1[/tex]

So ,

[tex] \longrightarrow \: \boxed{\bold{ x = 11}}[/tex]

Therefore value of first number is 11 .

Now , other consecutive no. be x + 2 . So

Therefore value of second number is 13 .

According to question sum of two consecutive no. is 24. So :

Answer:

6 tons

Step-by-step explanation:

So we know there are 120 passengers. If they all take the limit, which is 50 pounds each, we can multiply the 2 figures to get 120*50=6000 pounds. Since the question is asking us to answer in tons, we must convert 6000 pounds into tons. We can do this by using the convertion factor of 2000 lbs = 1 ton. With this logic, 6000 pounds equals 3 tons. But remember, each passenger can take 2 luggages. So just multiply by 2 to get 6 tons!

I hope this helped!

Please mark brainliest! I really need it. It would be very much appreciated.

Answer:

after operating costs are paid to a toy shop, as more toys are sold, more money is made

(I named the empty line y)

y²= 9²+5²

= 81+25

=106

y= V106

y≈10.30

x²= 4²+y²

= 4²+ (V106)²

= 16+106

=122

x≈11.05

Answer:

84.0

Step-by-step explanation:

Range: Highest value - lowest value

Highest value: 76

Lowest value: -8

= 76 - (-8)

= 84

= 84.0

Answer:

8000 * 1.025 = 8200

commision = 200

Step-by-step explanation: