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worty [1.4K]
2 years ago
5

Solve for x: x = Answers: 22.5 30 45

Mathematics
1 answer:
AVprozaik [17]2 years ago
6 0
Answer: 22.5 degrees

Step-by-Step Explanation:

As we can see, we are given a line, which is a straight angle. Hence, it will be of 180 degrees.

=> All the angles sum up to 180.

Therefore,
=> 3x + x + 90 = 180
= 4x + 90 = 180
= 4x = 180 - 90 = 90
=> x = 90/4 = 22.5

Therefore, x = 22.5 degrees

Verification:

=> 3x + x + 90 = 180
= 3(22.5) + 22.5 + 90 = 180
= 67.5 + 22.5 + 90 = 180
= 90 + 90 = 180
=> 180 = 180
=> LHS = RHS
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Assuming you are creating a book with 991 pages with a size of 8.5in x 11in, how many words will the story be?
KiRa [710]

This question is solved using proportions, as the table gives us the number of words per page given the dimensions, and the number of pages, which lets us calculate the number of words.

Doing this, we get that the story will be composed of 792,800 words.

-------------------------------------------

  • According to the table, pages of dimensions 8.5in x 11in have 800 words.
  • The book has 991 pages, of 8.5in x 11in dimensions.

Thus, considering that there will be 991 pages, each with 800 words, the total number of words in the story will be of:

991 \times 800 = 792,800

The story will be composed of 792,800 words.

A similar question is given at brainly.com/question/19905617

7 0
2 years ago
A store gives a customer 20% off if $10 or more amount of product is purchased. Otherwise the customer pays the usual price at c
Nadya [2.5K]

Answer:

The expected payment by the customer at the checkout is $9.

Step-by-step explanation:

The amount of the product is given as

f(x)=\left \{ {{\frac{50}{x^3}       \,\,\,\,\, x\geq 5 } \atop {0}} \right.

Now the expected payment is given as

EP=\int\limits^{10}_{5} {x f(x)} \, dx +\int\limits^{\infty}_{10} {0.8x f(x)} \, dx

Here 0.8 x is used in the second integral because of the discount of 20% i.e. the expected price is 80% of the value such that

\\EP=\int\limits^{10}_{5} {x \frac{50}{x^3}} \, dx +\int\limits^{\infty}_{10} {0.8x \frac{50}{x^3}} \, dx\\\\EP=\int\limits^{10}_{5} {\frac{50}{x^2}} \, dx +\int\limits^{\infty}_{10} {\frac{40}{x^2}} \, dx\\EP=[\frac{50}{-x}]_5^{10} +[\frac{40}{-x}]_{10}^{\infty} \\EP=[\frac{-50}{10}+\frac{50}{5}] +[\frac{-40}{\infty}+\frac{40}{10}]\\\\EP=-5+10+0+4\\EP=9

The expected payment by the customer at the checkout is $9.

8 0
3 years ago
My car is driving 60miles per hour how far will it have gone in two hours
Usimov [2.4K]

Answer:

120 miles

Step-by-step explanation:

60 x 2 = 120

4 0
3 years ago
Read 2 more answers
Which of the following does NOT have a value of -5?
Contact [7]

Answer:

J. -13-18

Step-by-step explanation:

J will give the value -31

4 0
3 years ago
An airplane travels 640 miles from Topeka to Houston in 3.2 hours, going against the wind. The return trip is with the wind, and
Mandarinka [93]

The  airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let a represent the rate of the airplane with no wind. and b the rate of the wind, hence:

(a - b)3.2 = 640

a - b = 200   (1)

Also:

(a + b)2 = 640

a + b = 320    (2)

The solution to equation 1 and 2 is:

a = 260, b = 60

The  airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
2 years ago
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