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Luda [366]
2 years ago
6

In ΔCDE, the measure of ∠E=90°, the measure of ∠D=23°, and EC = 1.3 feet. Find the length of DE to the nearest tenth of a foot.

Mathematics
1 answer:
BabaBlast [244]2 years ago
7 0

Answer: length of DE is about 3.3 ft

Step-by-step explanation:  A calculator is necessary!

DE is the unknown hypotenuse of the triangle

get the sine of 23° = 0.3907311285

Use the equation for sine

<em>sin = o/h</em> .

To find h,  Substitute values for sin and o.  O is EC, Opposite the 23° angle D

<em>0.3907311285 = 1.3/h</em> multiply both sides by h

h(0.3907311285) = 1.3 divide both sides by 0.3907311285

h = 1.3/0.3907311285

3.327096065 = h, the length of the hypotenuse, DE.

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Juana went shopping with $ 50 and spent $ 45. What percentage of her money did she spend?
Ugo [173]

Answer: 90%

Step-by-step explanation:

4 0
3 years ago
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Try to fill in the missing numbers
GrogVix [38]

9514 1404 393

Answer:

  [[274][895][136]]

Step-by-step explanation:

Starting with the middle row, we need a product of two single-digit numbers that is between 53-1 = 52 and 53-9 = 44. Possible products are 5×9=45 and 6×8=48. This means the number in the middle position in the left column must be 8 or 5.

The middle number in the left column cannot be 5, because we must be able to get -5 by subtracting that number from a sum that is at least 3 = 1+2. So, the middle number in the left column is 8, the other two numbers in that column are 1 and 2, and the other two numbers in the middle row are 5 and 9.

There is no product of single-digit numbers that is 30-1 = 29, so the upper left number must be 2, and the bottom left number must be 1. The other two numbers on the top row must be 4 and 7, so that row's equation is 2+4×7=30.

The only remaining digits are 3 and 6. In order to have -3 on the bottom row, the equation there must be 1×3-6 = -3. Then the middle digit must be divisible by 3, so must be 9.

Our solution is ...

row 1: 2 + 7 × 4 = 30

row 2: 8 + 9 × 5 = 53

row 3: 1 × 3 - 6 = -3

And that makes the column equations be ...

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6 0
3 years ago
The variance of a stock's returns can be calculated as the:
Tamiku [17]

Answer:

The correct option is b.

Step-by-step explanation:

The formula for standard deviation is

\sigma^2=\frac{\sum {(x-\overline{x})^2}}{n}

where, \overline{x} is mean of the data and n is number of observation.

The variance of a stock's returns can be calculated by the above formula.

Variance of stock's returns is the average value of squared deviations from the mean.

Therefore the correct option is b.

4 0
3 years ago
Evaluate k(4) for the function k(x)=18−2x
KiRa [710]

Answer:

k(4) = 10

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

k(x) = 18 - 2x

k(4) is x = 4

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    k(4) = 18 - 2(4)
  2. Multiply:                               k(4) = 18 - 8
  3. Subtract:                              k(4) = 10
5 0
2 years ago
23 points to whoever can answer this question !!
Tamiku [17]

-2 2/5

as an improper fraction

-(5*2 +2)/5 -12/5

-12 divided by 5


3 0
3 years ago
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