Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Make sure to simplify radicals. Leave your answers as radicals in simplest form.

Answer:

There is 5% of the juice left.

Step-by-step explanation:

We know that originally, the container had 80 oz of orange juice, this is the 100% in our case.

Then we can write a relation:

80 oz = 100%

Now there are 4 ounces left, in the same way than before, we can write this as:

4 oz = X%

We want to find X%

First, let's write our equtions:

4 oz = X%

80 oz = 100%

We can take the quotient between these two equations to get:

(4oz/80oz) = (X%/100%)

We need to solve this for X%, then we get:

(4oz/80oz)*100% = X% = 5%

This means that 4 oz is 5% of the initial volume of the juice container.

Then we can conclude that there is 5% of the juice left.

Answer:

I'm confused what the question is. I think you might have attached the wrong picture

Answer:

9=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x²-9x+7=0

2x²-9x=-7

x²-9/2 x +(-9/4)²=-7+(-9/4)²

(x-9/4)²=-7+81/16=(-112+81)/16=-31/16

(x+(-9/4))²=-31/16

Answer:

30% ywww

Step-by-step explanation:

Answer:

x=0 and x=-1

Step-by-step explanation:

Given: x^2+x=0

Factor: x(x+1)=0

Use Zero Product Property: x=0 and x+1=0

Therefore, x=0 and x=-1

Answer:

3 3/4

Step-by-step explanation:

3.75 square ft per hr.

5/8 x 6 = 3.75

Answer:

$750

Step-by-step explanation:

We can set up the equation 30x + 50y =  z where x = the amount of small dogs, y = the amount of big dogs, and z = the total.

After plugging in the x and y values to solve for z, we are left with the following equation:

30(15) + 50(6) = 750

Answer:

33 total flowers are in the bouquet Mr Rodriguez bough

Step-by-step explanation:

So for every 4 roses there are 7 carnations meaning the ratio is 4:7

4 times x = 12

x=3

So we do the same for carnations

7 x 3 = 21

Now we add to find the total

21+12=33

33 total flowers

Answer:

1. Add 3

2. Multiply 4

Step-by-step explanation:

Given

[tex](1)\ 1, 4, 7, 10, 13[/tex]

[tex](2)\ 2, 8, 32, 128, 512[/tex]

Required

The rule

[tex](1)\ 1, 4, 7, 10, 13[/tex]

This is a linear function because successive terms have a common difference

The common difference between each term is:

[tex]d = 4 - 1 = 3[/tex]

[tex]d = 7 - 4 = 3[/tex]

[tex]d = 10 - 7 = 3[/tex]

[tex]d = 13 - 10 = 3[/tex]

The above shows that 3 is [tex]added\ to\ each\ term[/tex] to get the next term.

Hence, the rule is: Add 3

[tex](2)\ 2, 8, 32, 128, 512[/tex]

This is a geometric function because successive terms have a common ratio

The common ratio between each term is:

[tex]r = 8/2 = 4[/tex]

[tex]r = 32/8 = 4[/tex]

[tex]r = 128/32 = 4[/tex]

[tex]r = 512/128 = 4[/tex]

The above shows that 4 [tex]is\ multiplied\ to\ each\ term[/tex] to get the next term.

Hence, the rule is: Multiply 4

Step-by-step explanation:

sin(30°)cos(45°) + cos(30°)sin(45°)=1+√3/2√2

x+11.95≤30

Then x≤30−11.95x≤30−11.95

x≤18.05x≤18.05Answer:

Step-by-step explanation:

Answer:

26600 - 33 = 26566

Step-by-step explanation:

sum

Answer:

17,420

Step-by-step explanation:

you multiply 26,000 by .33 which gets 8,580

then subtract 8,580 from 26000 which is 17420

8/100*796.25

=63.7%

Answer:63.7%

Answer: Hello, there! your Answer is below

63.7 would Be the correct answer

Step-by-step explanation: Below Is Info About How to Calculate Precentage UwU

how to calculate percentage of a number. Use the percentage formula: P% * X = Y

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

Answer:

[tex]y = -\frac{21}{2}x+5[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-4,47)[/tex]

[tex](x_2,y_2) = (2,-16)[/tex]

Required

The equation in slope intercept

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (-4,47)[/tex]

[tex](x_2,y_2) = (2,-16)[/tex]

So:

[tex]m = \frac{-16 - 47}{2 - -4}[/tex]

[tex]m = \frac{-63}{6}[/tex]

Simplify

[tex]m = -\frac{21}{2}[/tex]

So, the equation is calculated as:

[tex]y = m(x - x_1) + y_2[/tex]

This gives:

[tex]y = -\frac{21}{2}(x - -4) + 47[/tex]

[tex]y = -\frac{21}{2}(x+4) + 47[/tex]

Open bracket

[tex]y = -\frac{21}{2}x-42 + 47[/tex]

[tex]y = -\frac{21}{2}x+5[/tex]

Answer:

32 years old

Step-by-step explanation:

48-16=32

Answer:

Paul is 32 years old

Step-by-step explanation:

48 - 16 = 32

Answer:

(a) and (b)

[tex]f(g(x)) = g(f(x)) = x[/tex]

(c) and (d)

[tex]f(g(x)) =-x + 8[/tex]

[tex]g(f(x)) = x + 8[/tex]

Step-by-step explanation:

Given

(a) to (d)

Required

Find f(g(x)) and g(f(x)) for each pair

For (a) and (b), we have:

[tex]f(x) = \frac{3}{x}[/tex]

[tex]g(x) = \frac{3}{x}[/tex]

Calculate f(g(x))

[tex]f(x) = \frac{3}{x}[/tex]

[tex]f(g(x)) = \frac{3}{g(x)}[/tex]

Substitute 3/x for g(x)

[tex]f(g(x)) = \frac{3}{3/x}[/tex]

Rewrite as:

[tex]f(g(x)) = 3/\frac{3}{x}[/tex]

[tex]f(g(x)) = 3*\frac{x}{3}[/tex]

[tex]f(g(x)) = x[/tex]

Since f(x) = g(x), then:

[tex]f(g(x)) = g(f(x)) = x[/tex]

For (c) and (d)

[tex]f(x) =x + 4[/tex]

[tex]g(x) =-x + 4[/tex]

Solving f(g(x)), we have:

[tex]f(x) =x + 4[/tex]

[tex]f(g(x)) =g(x) + 4[/tex]

Substitute [tex]g(x) =-x + 4[/tex]

[tex]f(g(x)) =-x + 4 + 4[/tex]

[tex]f(g(x)) =-x + 8[/tex]

Calculating g(f(x))

[tex]g(x) =-x + 4[/tex]

[tex]g(f(x)) = -f(x) + 4[/tex]

Substitute: [tex]f(x) =x + 4[/tex]

[tex]g(f(x)) = x + 4 + 4[/tex]

[tex]g(f(x)) = x + 8[/tex]

Answer:

D. If I do not listen to this song, then it will not get stuck in my head.

Step-by-step explanation:

Answer:

"If I don't listen to this song, then it won't get stuck in my head."

Answer:

Answer: a = 140°, b = 40° and c = 140°

Step-by-step explanation:

Angles a° and c° are also vertical angles, so must be equal, which means they are 140° each. Answer: a = 140°, b = 40° and c = 140°. Note: They are also called Vertically Opposite Angles, which is just a more exact way of saying the same thing.

Answer:

thank you very much, this will be of much help

Answer:

n = -7

Step-by-step explanation:

Use distributive property:

7n - 32n - 16 = 159

Combine like terms

-25n - 16 = 159

Add 16 to both sides to isolate variable n

-25n = 175

Divide both sides by -25 to isolate variable n

n = -7

Check your work:

7(-7) - 32(-7) - 16 = 159

-49 + 224 - 16 = 159

159 = 159

Answer:

1/4 or 12*

Step-by-step explanation:

There are 8 possibilities.  2 of them are 6.

2/8=1/4

1/4 of 48 is 12

*The theoretical probability doesn’t change no matter how many times you spin the spinner.  It will always be 1/4.  (Or 0.25, or 25%). That could be what they’re asking.  If you spun it 48 times, it would probably land on a six 12 times.  That could also be what they’re asking for.  12:48 = 1:4.

You are cheating. I see this is a test.

Answer:

84 ft^2

Step-by-step explanation:

[tex] \frac{7 + 24 + 25}{2} = 28[/tex]

The area is:

[tex] \sqrt{28 \times (28 - 7) \times (28 - 24) \times (28 - 25)} [/tex]

[tex] = 84 \: {ft}^{2} [/tex]

Answer:

52 in

Step-by-step explanation:

I added all the sides I already know which is 10+5+5+16= 36

then to find the sides we don't know I subtracted part of the side we do know from the full side we do know for example I subtracted 5 from 10 and 5 from 16 to get 5 and 11 as the missing sides then I added those to the 36 so final answer is 52 in

Answer:

You get $45,200 first with interest with the 5400 you made in 1 year that dedeucts

Step-by-step explanation:

Answer:

Option B

[tex]A'(5,5)[/tex]

[tex]B'(5,1)[/tex]

[tex]C'(2,1)[/tex]

[tex]D'(1,5)[/tex]

[tex]----------[/tex]

hope it helps...

have a great day!!

Answer:

it is a triangular prism

the answer for your question is 0.0137

Answer:

There are x squares on the shorter side, each square measures 6 inches.

The length of the shorter side is:

The length of the longer side is:

The area of the quilt is: