The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below: A right angle triangle is shown with the Earth at the right angle. The acute angle between the line joining the Earth and the S The moon is, on average 238,900 miles from the Earth and the Sun is roughly 93,000,000 miles from the Earth. What is the measure of angle x? Round to the nearest hundredth. Note. This is a very small angle.

Answer: The blue dot is -2.1

Answer:

B. 52 per raffle ticket

Step-by-step explanation:

you divide 624 by 12 giving the answer of 52

Answer:

x = 12

Step-by-step explanation:

Answer: H - 50%

Step-by-step explanation:

The percentage markup on the textbook on the given percentage will be 50%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of a textbook = $28

Selling price = $42

% markup = (42 - 28)/28 x 100 = 50%

Hence "The percentage markup on the textbook on the given percentage will be 50%".

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Answer:

[tex]m\angle ABE=52^\circ[/tex]

Step-by-step explanation:

Angles and Lines

The figure shows a kite ABCD where the following data is given:

[tex]m\BAE=28^\circ[/tex]

[tex]m\BCE=58^\circ[/tex]

We also know

[tex]BC\cong CD[/tex]

[tex]AB\cong AD[/tex]

Since triangle BCD is isosceles, it follows that:

[tex]m\angle CBE=m\angle CDE[/tex]

And triangles BCD and DCE are congruent.

Thus:

[tex]m\angle BCE=m\angle DCE=58^\circ[/tex]

And also:

[tex]m\angle BCE=58^\circ+58^\circ=116^\circ[/tex]

Since the sum of internal angles of BCD is 180°

[tex]m\angle CDE=m\angle CBE= ( 180 - 116 ) / 2=32^\circ[/tex]

The sum of angles of triangle CDE is 180°, thus

[tex]m\angle CED=180^\circ - 32^\circ - 58^\circ = 90^\circ[/tex]

Angles CED and BEA are vertical (opposite), thus:

[tex]m\angle BCE=m\angle CED= 90^\circ[/tex]

Finally, since the sum of the angles of triangle ABE is 180°

[tex]m\angle ABE= 180 - 90 - m\angle BAE[/tex]

[tex]m\angle ABE= 180^\circ - 90^\circ - 28^\circ = 52^\circ[/tex]

[tex]\mathbf{m\angle ABE=52^\circ}[/tex]

Answer:

y = x^3 + x^2 − 20x

Step-by-step explanation:

Find the factors from the roots, then multiply the factors together.

f(x) = x³ + x² − 20x that is equation when x is equal to -5, 4, or 0 and for no other values of x.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Given that

f(x) = (x + 5)(x - 4)(x)

Multiply the factors together.

f(x) = (x + 5)(x² - 4x)

we have to open the brackets above

f(x) = x³ - 4x² + 5x² - 20x

Rearrange the likewise terms and apply the arithmetic operations,

f(x) = x³ + x² − 20x

This equation is true when x is equal to -5, 4, or 0 and for no other values of x.

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Answer:

150

Step-by-step explanation:

add three x plus 30 get 30 then add 6y plus 120 and get 120 add them and get 150

Answer:

2. Anisa gets paid $12 per hour describes a rate.

Step-by-step explanation:

A rate is something that says (something) per (something.) For example, the cheetah ran 240 miles per minute is considered a rate.

Rates usually end with one, since they say that (something) every 1 (minute, hour, etc.) whether it's a place or thing.

Hope this helps! :)

Answer:

It takes aditi 5 hours to walk 17 miles.

Step-by-step explanation:

First, find her speed in miles per hour.

1.7 miles in half an hour.

1.7 * 2 = 3.4

3.4 miles per hour.

To find the time, use the distance formula.

Distance = rate * time

17 = 3.4 * time

17/3.4 = time

5 = time

Answer:

3/2y-3/8z

Step-by-step explanation:

-3/8(-4y)-3/8z

Answer: 300

Step-by-step explanation:

Let the number be represented by x.

Therefore, based on the information given in the question, this can be expressed as:

36% of x = 108

36/100 × x = 108

0.36 × x = 108

0.36x = 108

x = 108/0.36

x = 300

Therefore, the number is 300

Answer:

15 and 17

Step-by-step explanation:

x/5=3

x= 15   15/5 is 3

x/2=8.5

x=17   17/2 is 8.5

Answer:

Factored Form: f(x) = (x-7)(x-4)

Roots: x=7, x=4

Step-by-step explanation:

What  we can do here is break the given expression into groups;

x^2-11x+28 ---> break the expression into groups

(x^2-4x) +(-7x+ 28) ---> factor out x from x^2-4x

x(x-4) + (-7x +28) ---> factor - 7 from -7x +28

x(x-4) -7(x-4) ---> combine

(x-7)(x-4)

so if f(x) = (x-7)(x-4) then the roots would be x=7 and x=4

Answer:

ñanamaisañia thanks for points

Answer:

Step-by-step explanation:

Cost of a ticket = Total cost ÷ number of tickets

                         = 20 ÷ 5

                         = $ 4

2) Cost of 7 books  = $ 22

Cost of a book = 22 ÷ 7

                         = $ 3.11

Answer:

4 dollars each for 1st question and 3.1 dollars for second question

Answer:

B.

Step-by-step explanation:

jason is filling up a 3/4 gallon pitcher. the one he has to fill it up with is 1/3 of a gallon.

1/3 * x = 3/4

x/3 = 3/4

3 (x/3) = 3 (3/4)

3x/3 = 9/4

x = 9/4

9/4 is 2.25 so the answer is B

Answer:

Area = 7.5

Step-by-step explanation:

The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

Given the triangle with  vertices P(1,1), Q(-2,1), R(-1,-4)

Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

By using this formula

PQ = 3 , QR = 5.099 and PR = 5.385

Now,

The area of a triangle with  all three sides is given by

A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2

So,

S = (3 + 5.099 + 5.385)/2 = 6.742

Now,

A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]

A = 7.499 ≈ 7.5

Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".

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Answer:

[tex] m\angle ABC = 35\degree [/tex]

Step-by-step explanation:

(3x - 70)° = x° (corresponding angles)

3x - 70 = x

3x - x = 70

2x = 70

x = 70/2

x = 35

[tex]

m\angle ABC = (3x - 70)\degree \\\\

m\angle ABC = (3\times 35- 70)\degree \\\\

m\angle ABC = (105- 70)\degree \\\\

\huge\red {\boxed{m\angle ABC = 35\degree }} \\\\[/tex]

Answer: here's the answers to the problems

6) 17

8) 2.5

Answer:

6.  17

8.  2.5

Step-by-step Explanation:

4 x 3 + 6+9/3          12/3 + 2+7/5-3 - 6

12 + 15/3                  4 + 9/2 - 6

12 + 5                       4 + 4.5 - 6

= 17                          8.5 - 6

                                = 2.5

the right is answer is B) alternate exterior

Answer:

5.5 rings

Step-by-step explanation:

Now I don't really know if this is right but to get the answer we need to know how much ounces of gold the jeweler need to make a ring and that would be 7.7 ounces of gold. Than divide 42.35 ounce by 7.7 ounces which would get you 5.5 ounces. Hopefully this helped :)

Answer:

5 rings

Step-by-step explanation:

Hope this helps

Answer:

four thousand five hundred and sixty eight and fifty hundredths

Step-by-step explanation:

Answer:

four thousand five hundred sixty -eight, and fifty Hundredths

Step-by-step explanation:

Answer:

80 buckets of red paint

Step-by-step explanation:

Given

The ratio of buckets of yellow paint to buckets of red paint in the store to be 3:4

Total ratio = 3 + 4 = 7

Amount of yellow paint = 60

Required

Amount of red paint.

First get the total amount of paint used.

3/7 * x = 60

x is the total paint used

3x/7 = 60

3x = 7*60

x = 420/3

x = 140 buckets of paint

Amount of red paint = Total - Amount of yellow paint

Amount of red paint = 140 - 60

Amount of red paint = 80

Hence there are 80 buckets of red paint in the store

Answer:

540

Step-by-step explanation:

3% of 6000 is 180. Multiply that by 3 years and you have your result.

Answer:

both

Step-by-step explanation:

Luc and Ang both just didn't simply one of there equations, otherwise it is equal

The two expressions in answer A are equivalent with each other.

Answer:

8 minutes

Step-by-step explanation:

48/3 = 16

That means he can download 16 songs in 1 minute.

128/16 = 8

This means he takes 8 minutes to download 128 songs.

Answer:

17.3

Step-by-step explanation:

You use sine and use SOH of SOHCAHTOA. Plug in sin(25)=o/41. Do sin(25) times 41 to find o. Hope this helps.