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Katen [24]
3 years ago
14

aPLEASE HELP!!!!!!! In ΔKLM, the measure of ∠M=90°, the measure of ∠K=41°, and MK = 38 feet. Find the length of LM to the neares

t tenth of a foot.

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0

Answer:

33.0

Step-by-step explanation:

Using the pythagoras theorem

tan theta = opposite/adjacent

tan 41 = x/38

x = 38tan41

x = 38(0.8693)

x = 33.03

Hence the value of x to nearest tenth is 33.0

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jolli1 [7]

To find the area of a <em>rectangle</em>, we multiply its length by its width. A square is a special case of a rectangle where all of the sides have the same length, so what we're really doing is taking the side length and multiplying it by itself. Fittingly, we call the process of multiplying a number by itself <em>squaring </em>that number. For example, "3 squared," - written as 3² - gives us 3 x 3 = 9, 4² gives us 4 x 4 = 16, and hopefully you get the idea from there.

Here, a square with a side length of 6.25 feet would have any area of (6.25)² <em>square feet</em> (because area takes up <em>space, </em>we can't measure it with length alone - we need to use something else that takes up space, and squares are the simplest type of shape for the job).

Doing the calculation, we find that this is (6.25)(6.25) = 39.025 square feet.

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3 years ago
4 workers get paid N160000 for working for five days. How much will 5 workers get paid for a day?
svet-max [94.6K]
N40000 should be right
5 0
3 years ago
A rectangle has side lengths of 1 3/4 feet and 2 1/3 feet. Find the perimeter of the rectangle. Write your answer as a mixed num
katovenus [111]

Answer:

8 feet

Step-by-step explanation:

Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.

Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.

  • 2(2 1/3) + 2(1 3/4) = perimeter of rectangle

To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.

  • 2 1/3 ⇒ 7/3
  • 1 3/4 ⇒ 7/4

Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.

  • 2(7/3) + 2(7/4)
  • 14/3 + 14/4

To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.

  • 14/3 (4/4) = 56/12
  • 14/4 (3/3) = 42/12

Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.

  • 54/12 + 42/12 = 96/12

You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.

  • 96/12 = 8

The perimeter of the rectangle is 8 feet.

7 0
4 years ago
Read 2 more answers
I need help with 3 problems of Properties of Signed Numbers somebody please help me
Shalnov [3]
1. 2/3 - (1/4)*(4/9)
     2/3-4/36
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     20/36 also same as 4/9 (D)


2. It's B. (-3*(2*7)=(-3*2)*7

3. -4+(-6)*(-3)
     -4+18
      -14 (b)


7 0
3 years ago
use the rational zeros theorem to write a list of all potential rational zeros. f(x) = x^3 - 10x^2 4x - 24
Sloan [31]
f(x) = x^3 - 10x^2 4x - 24 \\\\24:\{\pm1;\ \pm2;\ \pm3;\ \pm4;\ \pm6;\ \pm8;\ \pm12;\ \pm24\}\\1:\{\pm1\}\\\\Answer:\boxed{\{\pm1;\ \pm2;\ \pm3;\ \pm4;\ \pm6;\ \pm8;\ \pm12;\ \pm24\}}
6 0
3 years ago
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