In JKL, J = 7.9 inches, K = 2 inches and L =9.8 inches. Find the measure of K to the nearest degree

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Delta math

Answer 2

The measure of K to the nearest degree is 4°.

What is the laws of cosines?

The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.

Given ΔJKL,

j = 7.9 inches, k = 2 inches, l = 9.8 inches

to find the measure of angle K,

we can calculate the angle by cosine law,

cosK = (j² + l² - k²)/(2.j.l)

cosK = (7.9² + 9.8²  - 2²)/(2*7.9*9.8)

cosK = 154.45/154.81

K = cos⁻¹(0.99748)

K = 4.067⁰ ≈ 4°

Hence angle K is 4°.

Learn more about the laws of cosines;

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Related Questions

Question 11

A rectangle with a perimeter of 12 inches is enlarged by a scale factor of 3. What is the perimeter of the enlarged

rectangle?

Answers

Answer:

The perimeter of the enlarged rectangle is 36 inches.

Step-by-step explanation:

Perimeter of an enlarged figure:

To find the perimeter of an enlarged figure, we multiply the perimeter of the original figure by the scale factor.

In this question:

Perimeter of the original rectangle: 12 inches

Scale factor: 3

Perimeter of the enlarged rectange:

12*3 = 36 inches

Which is an irrational number Square root of 21 3 5/8 2.4141414 or -13

Answers

Answer:

i dont know

Step-by-step explanation:

Please help me with this question

Answers

Answer:

An equation is y=-3x+7 (I chose slope-intercept form because they already showed us the slope). When y =13 x=-2

Step-by-step explanation:

plugin 13 for y and subtract 7 from both sides, this lets you get 6=-3x then divide 6 by -3 which makes x=-2

Write and equivalent expression for the following expression: ab

Answers

Answer:

ab = a(b)

Step-by-step explanation:

cuz u can just add parentheses


Elmer is purchasing 2 4/5 pounds of candy that cost $1.85 per pound.
If he pays with $10, how much will he get in change? HELP I WILL MARK BRAINIEST

Answers

Answer:

hi

Step-by-step explanation:

Daniel bought 1 pound of jelly beans and 2 pounds of chocolates for $2.00. ... for $1.50. How much would he have to pay on his next trip to the candy store if he bought 1 pound of each of the 4 kinds ... How many are there? Assign ... Multiply each equation by a factor, so that all equations will have the same total price: 3(1j +.

The candy is $1.85 per pound so you would multiply that by 2 4/5 which equals 5.18. 10 - 5.18 = 4.82
Hope this helps!

Which investment would make you the most interest? Explain.

A: $450 at 7% for 10 years

B: $1,300 at 5% for 6 years

Answers

B is the answer dear

PLZZZZZZZZ help me not desperate but gotta get done by today its asking this- Brian tossed a paper cup a total of 25 times and record the data below on how the cup landed.
Position of cup Open side up Closed side up Landing on side
Number of times landed in the position 3 7 15

Find the experiment probability for the following
a. Open side up:

b. Closed side up:


c. Landing on its side:

Answers

a. Open side up: 3/25
b. Closed side up: 7/25
c. Landing on its side: 15/25 or 3/5

1. The nominal rate on Sandra's loan is 7.125%. If the interest is compounded monthly, what rate of

interest is Sandra actually paying? (use the formula)

Answers

Answer:

She is actually paying a rate of 7.36% of interest.

Step-by-step explanation:

The real interest rate, as a decimal, is given by:

[tex]I = (1 + \frac{r}{n})^{n}[/tex]

In which r is the interest rate and n is the number of compoundings during an year.

The nominal rate on Sandra's loan is 7.125%, compounded monthly:

This means that [tex]r = 0.07125, n = 12[/tex]

So

[tex]I = (1 + \frac{0.07125}{12})^{12} = 1.0736[/tex]

As a percentage: 1.0736*100 = 107.36% - 100% = 7.36%

She is actually paying a rate of 7.36% of interest.

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