What is the answer to this and show the work please.

Answer:

1. BS = 4

2. RS = 2√5

3. ST = 4√5

Step-by-step explanation:

Use the right triangle altitude theorem.

Then use the Pythagorean Theorem.

1.

BT/BS = BS/BR

8/BS = BS/2

(BS)² = 16

BS = 4

2.

2² + 4² = (RS)²

RS = √(20)

RS = 2√5

3.

4² + 8² = (ST)²

ST = √(80)

ST = 4√5

Answer:

400

Step-by-step explanation:

Let the number be known as "x".

Given statement:

45% of a number is 180.

The term "of" defines multiplication between two terms. In this case, the terms are 45% and the number "x". Therefore,

     ⇒ 45% × x = 180

When we convert a percentage into a fraction, simply divide the percentage by 100 and remove the percentage sign to obtain the result in fraction form.

     ⇒ 45/100 × x = 180

Multiplying 45/100 and x:

     ⇒ 45/100 × x = 180

     ⇒ 45x/100 = 180

Using cross multiplication:

     ⇒ 45x/100 = 180

     ⇒ 45x = 180 × 100

Simplifying the right-hand-side:

     ⇒ 45x = 180 × 100

     ⇒ 45x = 18000

Dividing 45 to both sides of the equation:

     ⇒ 45x = 18000

     ⇒ 45x/45 = 18000/45

     ⇒ x = 18000/45 = 400

Therefore, the number is 400.

Answer:y=-4 x=-2

Step-by-step explanation:

Answer:

Should be 6

Step-by-step explanation:

Answer: 6 apples

Step-by-step explanation:

Number of apples divided by denominator times the numerator

8÷4=2×3=6

Answer:

-3

Step-by-step explanation:

Each time 2 necklaces is sold the brand gains $5, each time they go down 2 bracelets the profit goes down by 5.

So the graph is so the equation is n-4=p

n|$

4:0

6: 2

8: 4

Answers:  he markup price is $9.6

You will be paying 120% which is 1.20 as a decimal

So you multiply. 8(1.20) which gives you $9.6

Step-by-step explanation: thank you for letting me answer this question hope it's helpful

Answer:

b. 1.97

Step-by-step explanation:

1cm≈0.032feet

60/0.032≈1.97feet

Answer:

steps 4 and 5

Step-by-step explanation:

i think

Answer:

idrk

Step-by-step explanation:

Answer:

y=-2/7x-61/7

Step-by-step explanation:

convert to slope intercept form

2x+7y=9

7y=-2x+9

y=-2/7x+9/7

slope is -2/7

-7-2/7=-51/7

y=-2/7x-61/7

Answer:

[tex]y=-\frac{2}{7}x-\frac{51}{7}[/tex]

Step-by-step explanation:

Hi there!

We are given the line 2x+7y=9

We want to find the equation of the line that contains the point (-1, -7), and that is parallel to the equation above

Parallel lines have the same slopes.

So we need to find the slope of 2x+7y=9

One way to do this is to convert 2x+7y=9, which is currently in standard form (ax+by=c) into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

In slope-intercept form, y is isolated by itself, so let's start by moving 2x to the other side (it removes it from the left side)

2x+7y=9
-2x      -2x

____________
7y=-2x+9

Now divide both sides by 7

[tex]y=-\frac{2}{7} x + \frac{9}{7}[/tex]

in this equation, -2/7 is in the place of where m should be. This means that -2/7 is the slope of this line.

It is also the slope of the line parallel to it.

The instructions want us to write this equation in slope-intercept form, so let's plug -2/7 as m into the formula.

Here is the equation of the line so far:

[tex]y=-\frac{2}{7}x + b[/tex]

Now we need to find b.

As the equation contains the point (-1, -7), we can use it to help solve for b.

Substitute -1 as x and -7 as y into the equation

[tex]-7=-\frac{2}{7}(-1) + b[/tex]

Multiply

[tex]-7=\frac{2}{7} + b[/tex]

Subtract 2/7 from both sides

[tex]-\frac{51}{7} = b[/tex]

Substitute -51/7 as b in the equation

[tex]y=-\frac{2}{7}x-\frac{51}{7}[/tex]

Hope this helps!

See more on this topic here: https://brainly.com/question/25658338

Answer:

Dialation

Step-by-step explanation:

Dilation makes the thing bigger or smaller.

Hope it helps!

The factor of the polynomial is be (x+12)

We have given equation is

[tex]x^2+8x-48[/tex]

The middle number is 8 and the last number is -48.

Factoring means we want something like

[tex](x-a)and (x+b)[/tex]

we have to find the value of a and b

The numbers are (12) and -4

addition=12+(-4)=12-4=8

12(-4)=-48

Therefore we have,

[tex]x^2+8x-48\\x^2+12x-4x-48\\\\x(x+12)-4(x+12)\\(x-4)(x+12)[/tex]

Therefore the given equation has two factor that are (x-4) and (x+12)

Since (x-4) is not in option therefore  the answer would be (x+12)

To learn more about the factor visit:

https://brainly.com/question/25829061

Answer:

The factor of the polynomial is be (x+12)

Step-by-step explanation:

Answer:

10000

Step-by-step explanation:

100 x 100

1 x 100 = 100

Add 2 more zeros at the end of your answer

10000

(pretty sure this is a troll but there is your answer)

Answer: 10,000.

Step-by-step explanation:

If you get 100 then added 100 times itself 100 times you'll get 10,000

Answer:

yes thats correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

Is the simplified form of 2 square root of 3 ⋅ square root of 12 rational?

Simplifying

0 is rational, so the answer is Yes

Answer:

yes, It's  a right triangle.

Step-by-step explanation:

First, lets convert the 4 feet into inches. You get 48 inches. 48 squared plus 55 squared equals 5329 which is equal to 73^2.

Answer:

x = 30

Step-by-step explanation:

 12 : 20 = 18 : x

⇒ 12/20 = 18/x

⇒ 12x = 18 · 20

⇒ 12x = 360

⇒ x = 360 ÷ 12

⇒ x = 30

[tex]\\ \rm\Rrightarrow \dfrac{21}{x}=\dfrac{14}{20}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{21}{x}=\dfrac{7}{10}[/tex]

[tex]\\ \rm\Rrightarrow 7x=210[/tex]

[tex]\\ \rm\Rrightarrow x=30[/tex]

Answer:

40 14/25 years

Step-by-step explanation:

Well, this certainly is fun.

First, to find the fraction of the doctor's life which 13 years represents, subtract the fractions from 1 (and in this case l stands for lifetime):

[tex]13 = (1 - (\frac{1}{13} + \frac{4}{39} + \frac{1}{2}))(l)[/tex]

[tex]13 = (\frac{25}{78})(l)[/tex]

So, multiply this equation by the reciprocal of 25/78 to isolate one of l:

[tex]13(\frac{78}{25}) = l[/tex]

[tex]l = 40\frac{14}{25}[/tex] years

Answer:

131 is the answer

Answer: 13

Step-by-step explanation:

Answer:

B is correct. You got it. =D

Answer:

B) part is the correct answer

Answer is Step-by-step explanation:

The two shorter sides are the legs of the right triangles. Both are given for triangle B. Use Pythagorean Theorem or pythagorean triples(shortcut/special case) to show the missing side of Triangle A is also 5.

leg^2+ leg^2 = hyp^2

x^2 + 12^2 = 13^2

x^2 + 144 = 169

subtract 144.

x^2 = 25

square root both sides.

x = 5

The missing side of Triangle A is 5, same as triangle B.

Just to really show it. Calc the missing side of triangle B

5^2 + 12^2 = h^2

25 + 144 = h^2

169 = h^2

squareroot both sides.

13 = h

The hypotenuse of both triangles is 13. All the measures of all the corresponding sides are the same for these two triangles.

Hope this helps! Please mark Brainliest! tysm!

Answer:

First we need to find a common denominator;

3 1/4 and -5/8 have a common denominator of 8

-5/8 already has 8 now we alter 3 1/4 to have 8 as the denominator as well.

if we make 3 1/4 into an improper fraction we would get 13/4

13/4 x 2/2 = 26/8, because 2 x 4 = 8 so we also apply that to the numerator

Now we have;

26/8 - (-5/8)

the two negatives combine to make a positive:

26/8 + 5/8

= 31/8 which simplifies to

3 7/8

Answer:

○ [tex]\displaystyle None\:of\:these[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 2cos\:(2x - \frac{\pi}{2})} \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{\pi}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle \boxed{y = 2sin\:2x} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 2[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:2x,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{\pi}{4}} = \frac{\frac{\pi}{2}}{2}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(2x - \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-2\frac{1}{4}\pi, -2],[/tex]from there to [tex]\displaystyle [-1\frac{1}{4}\pi, -2],[/tex]they are obviously [tex]\displaystyle \pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

The selling price of the DVD that has a cost of 15 dollars is 19 dollars and 50 cents.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A store owner paid $15 for a DVD.

He marked up the price of the DVD by 30%.

The cost price is $15.

Then the selling price will be given as

Selling price = 15 × 1.3

Selling price = $19.50

The selling price is 19 dollars and 50 cents.

More about the percentage link is given below.

https://brainly.com/question/8011401

The amount of income tax withheld from Ike stone's income is the amount removed from his earnings

Ike stone amount of income tax to be withheld is $28

The given parameters are:

Earnings = $566

Allowances = 2

To determine the amount of income tax to be withheld, we make use of the tax table.

$566 is less than $570

From the tax table, the amount of income tax to be withheld for a single whose income is less than $570 and has 2 allowances is $28

Hence, Ike stone amount of income tax to be withheld is $28

Read more about income tax at:

https://brainly.com/question/25109150

Answer:

it takes 25 minutes.

Step-by-step explanation:

divide 150 by 6

Answer:

C. x = {1/5, 1}

Step-by-step explanation:

2|6x - 2| = 8x

2(6x - 2) = 8x and 2(6x - 2) = -8x

2(6x - 2) = 8x

  12x - 4 = 8x    

         4x = 4

           x = 1

2(6x - 2) = -8x

  12x - 4 = -8x

      20x = 4

         x = 4/20

         x = 1/5

Answer:

.9

Step-by-step explanation:

sinx=opp/hyp 18/20=.9