2. Triangle ABC has side lengths of
5 units, 13 units, and 12 units.
Use the Converse of the Pythagorean
Theorem to prove that ABC is a right
triangle. Write numbers 1-4 to order
the steps.
52 + 122 = 132
a²+ 62=c²
169 = 169
25 + 144 = 169
Therefore, triangle ABC is a right
triangle.

Answer:

The answer to the question a∧18

Answer:

[tex]a^{18}[/tex]

Step-by-step explanation:

Use the product rule to simplify a ^7 x a ^11

[tex]a^{7}[/tex] × [tex]a^{11}[/tex] =

(add the exponents)

7 + 11 = 18

[tex]a^{18}[/tex]

The expression of the volume of the cone that is π/4 of the volume of the pyramid, is expressed as: [tex]\mathbf{\frac{\pi}{4} (\frac{4r^2h}{3} )}[/tex].

Volume of a pyramid = 1/3(length)(width)(height)

Find the volume of the pyramid in the image given:

Volume of the pyramid = 1/3(2r)(2r)(h)

Volume of the pyramid = 4r²h/3

We are given that the volume of the cone is π/4 of the volume of the pyramid.

Therefore, the expression that represents the volume of the cone would be: [tex]\mathbf{\frac{\pi}{4} (\frac{4r^2h}{3} )}[/tex]

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Answer:

D:  

Step-by-step explanation

The increase in square feet when the garden is enlarged is 400 square feet.

The first step is to determine the perimeter of the fence:

Perimeter = 2( length + width)

2 (60 + 20)

= 160 feet

When the shape of the garden is changed to a square, the perimeter of the square and the rectangle has to be the same.

Length of side of the square = 160 / 4 = 40 feet

Area of the square = 40 x 40 = 1600 square feet

Area of the garden = 60 x 20 - 1200 square feet

Difference = 1600 - 1200 = 400 square feet

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Answer:

The answer is -11(3x-1)

Step-by-step explanation:

Thats what the calculator said

Hope this helps!!!

Answer:

There is only a 25% of the probability

Answer:20579.53

Step-by-step explanation:round it to its hundreth or tenth based on the question or full

Answer: its not A its b c or d sorry i could not help more

Answer:

The answer is C. 29.4 m/sec.

Step-by-step explanation:

I got it right ^w^

Answer:  The 3 angles shown need to equal 180 degrees

x = 180 - 75 - 65

x = 40 degrees

Step-by-step explanation:

I had someone help out with this one...hope this helps u out have a good rest of ur day!!!!!

Easy evaluation!

[tex]5( ln( |4x - 15| ) + c[/tex]

Step-by-step explanation:

Feel free to ask if you're left with any doubts.

Answer:

[tex]\large \text{$ 5 \ln|4x-15|+C $}[/tex]

Step-by-step explanation:

[tex]\large \displaystyle\begin{aligned}\textsf{let }\:u & =4x-15\\\implies \dfrac{du}{dx} & =4\\\implies dx & =\dfrac{1}{4}\: du\\\end{aligned}[/tex]

[tex]\large\displaystyle\begin{aligned}\int \dfrac{20}{4x-5}\:dx &=\int \dfrac{20}{u}\cdot \dfrac{1}{4}\:du\\\\&=\int \dfrac{20}{4u}\:du\\\\&=\int \dfrac{5}{u}\:du\\\\&=5 \ln |u| +C\\\\&=5 \ln |4x-15| + C\end{aligned}[/tex]

Answer:

can i have life orientation project memo for term 2

Answer:

50

Step-by-step explanation:

to find the value of x use "sinerule"

sinx/13= Sin90/17

sinx = sin90×13/17

sinx= 14/17

sinx= 0.764705882

X= SIN^-1(0.764705882)

X = 49.888

X= 50

Reason:

Pick any column and divide y over x

You only need to pick one column when it comes to showing your work.

The constant of proportionality is 1.4

This leads to the equation being y = 1.4x

Option A is true because the sum of angles in a triangle is 180, so we can rule that one out immediately.

We can solve for x for the other 3 options by setting up this equation:

7x+2 + 4x+7 + 8x = 180 | Simplify

19x + 9 = 180 | Subtract 9

19x = 171 | Divide by 19
x=9

Now we can substitute x into all the values:
<J = 7x+2 = 65
<L = 4x+7 = 43
<K = 8x = 72

Looking at the options again, we can see that A, B, and D are true, leaving C to be false.

You're lucky that I was able to do this :)

The answer is [tex]\huge\boxed{\frac{1}{4}} [/tex]

Answer:

238

Step-by-step explanation:

First, you must find the ratio between the one measurement of the larger octagon and the smaller octagon. Just divide 28 by 4 to get 7. This is what you have to multiply the perimeter by to get the larger octagon's perimeter.  34 times 7 equals 238. There are multiple ways to do this problem but this way is the simplest. If this helped you, please click the "Thanks" button!

Answer:

y = [tex]\frac{1}{2} x\\[/tex]+5

Step-by-step explanation:

Y-intercept 5

Answer:

y- intercept = 5

Step-by-step explanation:

to find the y- intercept let x = 0 in the equation and solve for y

this relies on the fact that when the line crosses the y- axis the x- coordinate is zero, then

0 - 2y = - 10 , that is

- 2y = - 10 ( divide both sides by - 2 )

y = 5

then y- intercept = 5

Answer:

i) 3x + 7

ii) x/3 = 9

iii) y = 2x +4

iv) y = 6x

Answer:

41.24

Step-by-step explanation:

54.99 * .25 = 13.7475

54.99 - 13.7475 =

41.2425

Answer:

$41.24

Step-by-step explanation:

54.99 x 0.25 = 13.7475

54.99 - 13.7475 = 41.2425

41.2425 ≈ 41.24

hope this helps

have a good day

Answer:

7 inches

Step-by-step explanation:

1. Covert 7cm into inches: approximatly 3 inches.

2. 21/3: 7

3. 7 inches

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$23000\\ P=\textit{original amount deposited}\\ r=rate\to 3.70\%\to \frac{3.70}{100}\dotfill &0.037\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &4 \end{cases}[/tex]

[tex]23000=P\left(1+\frac{0.037}{12}\right)^{12\cdot 4}\implies 23000=P\left( \frac{12037}{12000} \right)^{48}\implies \cfrac{23000}{~~ \left( \frac{12037}{12000} \right)^{48}~~}=P \\\\\\ \cfrac{23000}{~~ \frac{12037^{48}}{12000^{48}}~~}=P\implies \cfrac{23000\cdot 12000^{48}}{12037^{48}}=P\implies 19840.43\approx P[/tex]

Answer:

This cannot be explained properly by me, but the answer is 4 3/4*1 1/3 divided by (7 1/2-1 1/6). I just did a lot of trial and error

Step-by-step explanation:

The mathematical operations used [tex](4.75/7.50) * 1.17 * 1.34[/tex].

An operation exists as a mathematical action. Addition, subtraction, multiplication, division, and calculating the root exist all instances of a mathematical operation.

Given: 4 3/4 _ 7 1/2 _ 1 1/6 _ 1 1/3 = 1 or

4 3/4 _ 7 1/2 _ 1 1/6 _ 1 1/3 = 1

Convert mixed fraction into a proper fraction we have

[tex](19/4) * (15/2) * (7/6) * (4/3) = 1[/tex]

Now convert the proper form of the fraction into a decimal

[tex]$4.75 * 7.50 * 1.16 * 1.34[/tex]

Inserting operation signs, then we get

[tex]= (4.75/7.50) * 1.17 * 1.34[/tex]

= 0.99294

= 1 (approximately)

Therefore, the correct answer is [tex](4.75/7.50) * 1.17 * 1.34[/tex].

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Answer:

4√33/33

Step-by-step explanation:

Solution,

Here,

sinθ=4/7

p/h=4/7

b=?

Now using Pythagoras theorem,

[tex]\hookrightarrow h^{2} =p^{2} +b^{2} \\\\\hookrightarrow (7)^{2} =(4)^{2} +b^{2}\\\\\hookrightarrow 49-16=b^{2} \\\\\hookrightarrow b=\sqrt{33}[/tex]

Again,

tanθ=p/b

[tex]tan\theta=\frac{4}{\sqrt{33} } \\\\tan\theta=\frac{4}{\sqrt{33} } \times \frac{\sqrt{33} }{\sqrt{33} } \\\\tan\theta=\frac{4\sqrt{33} }{33}[/tex]

According to the question ,

Sin θ = 4/7

We know that , Sin θ = Perpendicular/Hypotenuse

So , by Pythagoras theorem

Hypotenuse² = Perpendicular ² + Base ²

7² = 4² + x²

49-16 = x²

√33 = x

5.7 = x

So , the base is 5.7 units (approx)

Tan θ = Perpendicular/base

Tan θ = 4/5.7

Answer:

The civil war started because the south wanted to keep the country enslaved while the north wanted a free slave country. This divison between the north and the south created the civil war

Answer:

It divided the nation.

Step-by-step explanation:

North wanted to banned slavery, while the south didn't. At that time states from the north and the south were in the union. The south succeeded from the union, because of some slavery issues which lead to the Civil War.

Answer:

$173,954.01

Step-by-step explanation:

Finding compound interest :

Answer:

63 degrees as 94 +23 =117

180-117=63

Answer:

B) 8/9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

0.3333 + 0.5555 = 0.8888

as a fraction it's 8/9

Answer:

A, B, D

Step-by-step explanation:

A 6x3 =18

B 9x2=18

D 9x2=18

Answer:

we know that sum of two complementary angles always equals to 90°

now ∠ABC and ∠CBD are complementary which means ∠ABC + ∠CBD = 90

∠ABC = 35° given

so ∠CBD = 90° - ∠ABC = 90° - 35° = 55°

therefore hence proved ∠CBD = 55°