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PIT_PIT [208]
2 years ago
14

Find the length of CE

Mathematics
1 answer:
saw5 [17]2 years ago
4 0

Answer:

C. 37.8 units

Step-by-step explanation:

ED = 17/ cos(38°) = 17 / 0.7880 = 21.6 units

DF = 17× tan (38°) = 17× 0.7813 = 13.3 units

CD = 10/13.3 × 21.6 = 16.2 units

so, the length of CE = 21.6+16.2 = 37.8 units

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Which of the following pieces are congruent?
posledela

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The horizontal segment of E and vertical segments of M.

Step-by-step explanation:

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How much does 56 Fit into 7284
Vera_Pavlovna [14]
130

7284/56 = 130 (Rounded)
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3. The volume of a book is 60 cubic inches. If a large
saveliy_v [14]

Answer:

720 in^3.

Step-by-step explanation:

12 * 60 = 720.

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2 years ago
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5. Walker is reading a book that is 792 pages. He reads
masya89 [10]
<h2>Forming Equations from Word Problems</h2>

To form equations from word problems, we can derive mathematical operations as well as variables from the given information.

In this case, each time Walker reads a certain number of pages, we subtract that from the total number of pages left to know how many pages is left to read.

<h2>Solving the Question</h2>

<em>Let r represent the pages left to read.</em>

<em />

792 pages in total

  • ⇒ <em>r</em> = 792

Walker reads 15 pages a day during the week and 25 pages a day during the weekend.

  • There are 5 weekdays, and he reads 15 pages each of those days. ⇒ <em>r</em> = 792 - 5×15
  • There are 2 weekend days, and he reads 25 pages each of those days.
    ⇒ <em>r</em> = 792 - (5×15 + 2×25)

5 weeks have passed

  • Multiply the terms representing the number of pages he reads a week by 5, for 5 weeks.
    ⇒ <em>r</em> = 792 - (5×15 + 2×25)×5

<h2>Answer</h2>

<em>r</em> = 792 - (5×15 + 2×25)×5

4 0
1 year ago
In a certain month, Mason spent 1/6 of his salary in the first three days and $800 in the following ten days and after that he w
Nesterboy [21]
<h3>Answer:   $2400</h3>

========================================================

Explanation:

x = Mason's salary in dollars for that month

x/6 = one-sixth of his salary

x/6+800 = total amount spent (the x/6 dollars and $800 combined)

In total, he spent half his salary. This means he spent x/2 dollars for the month overall.

Set the two items equal to one another. Solve for x.

x/6 + 800 = x/2

6(x/6 + 800) = 6*(x/2) ... see note at the bottom of the page

x+4800 = 3x

4800 = 3x-x

4800 = 2x

2x = 4800

x = 4800/2

x = 2400

His monthly salary is $2400

1/6 of this is (1/6)*2400 = 2400/6 = 400 dollars. Add on the $800 he also spent to get a total of 400+800 = 1200 dollars spent, which is exactly one half of the $2400. The answer is confirmed.

-------

Note: I multiplied both sides by 6 to clear out the fractions. The value 6 is the LCD in this case.

7 0
2 years ago
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