The angle of elevation from L to K measures 55°. If JK = 26, find JL. Round your answer to the nearest tenth.A. 37.1
B. 21.3
C. 14.9
D. 26.8

Answers

Answer 1

Answer: the angle of elevation is the degree at which you need to look up, therefore the angle between the dotted line, let's call it LM, and line LK is 5 degrees

Angle JLK and Angle KLM are also complimentary angles, meaning that they both add up to 90 degrees, therefore angle JLK = 90-55=35degrees

Now, SOHCAHTOA comes in handy to find JL. Since we know JLK and JK, this is going to be a breeze.
Since the sides we are using are opposite and adjacent to JLK, we are going to use tan.
So: tan = o/a
however, as we don't know a, we need to rearrange the equation so a is on its own
tan=o/a (times both sides by a)
tan a = o (divide both sides by tan)
a = 0/tan

Now we can solve the equation with the information given
a = 26/tan35
a = 26/0.7
a=37.13184818
=> 37.1

So, you can put down A as your answer :D

Answer 2

Answer:

37.1

Step-by-step explanation:

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What percent of 84 is 9?

Answers

If you would like to know what percent of 84 is 9, you can calculate this using the following steps:

x% of 84 is 9
x% * 84 = 9
x/100 * 84 = 9
x/100 = 9 / 84
x = 9/84 * 100
x = 10.71

The correct result would be 10.71%.

The percentage of the number 84 which equals 9 is 75/7 percent.

How to determine a percentage?

Given the parameter:

"9 is what percent of 84"

To find what percent of 84 is 9, you can use the following formula:

Percent = (Part / Whole) × 100

Where:

Part = 9 (the smaller value you want to find the percentage of)

Whole = 84 (the larger value)

Now, plug in the values:

Percent = (9 / 84) × 100%

Simplifying we get:

Percent = (9 / 21) × 25%

Percent = (75/7)%

Therefore, 9 is 75/7 percent of 84.

Learn more about Percentages here: brainly.com/question/24159063

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2) If the original price of an antique chair was $41, what is the best estimate of an offer to purchase the chair at 124% of the original price?a.) The chair will be purchased at $20.
b.) The chair will be purchased at $40.
c.) The chair will be purchased at $50.
d.) The chair will be purchased at $90.

3) Which fraction could be used to determine an estimate of 76% of the people who attended the play?

a.) 1/2 of the people
b.) 3/4 of the people
c.) 2/3 of the people
d.) 1/10 of the people

4) Which mixed number could be used to determine an estimate of a 249% increase in value of a ring?

a.) 1/2 the value of the ring
b.) 3/4 the value of the ring
c.) 2 1/2 times the value of the ring
d.) 3 1/3 times the value of the ring

Answers

2) d.) The chair will be purchased at $90.
3) b.) 3/4 of the people
4) c.) 2 1/2 times the value of the ring

2) 50.84 ≈ 50 c

3) b.) 3/4 of the people

4) c.) 2 1/2 times the value of the ring

A store is selling candy for $8 for 16 bags. How much will it cost if you need to have 84 bags?

Answers

16 bags are $8. However, you need more than 16 bags; you need 84.

So the first thing you do is divide 84 by 16 which is 5.25. This means that if 16 bags are $8, then you need to multiply the price and quantity by 5.25 to work out how much it is for 84 bags:

$8 = 16 bags

Multiply by 5.25:

$8 * 5.25 = 16 bags * 5.25

$42 = 84 bags

Therefore, it’ll cost $42 to buy 84 bags.

Round each decimal number to the nearest integer 11.90

Answers

This one rounds up to 12

With regard to mathematics, what is an accepted statement of fact that is used to prove other statements?A)axiom
B)theroum
C)definition
D)undefined term

Answers

Answer – A. (Axiom)
With regard to mathematics, the accepted statement of fact that is used to prove other statements is an axiom. An axiom refers to any mathematical statement that functions as a starting point from which other mathematical statements are logically derived.

Answer:

With regard to mathematics, an axiom is an accepted statement of fact that is used to prove other statements.

Step-by-step explanation:

As we know that an axiom - normally called postulate - is a statement which is considered to be true in order to serve as an initial point in order to establish further reasoning, from which we may be able to logically drive the other mathematical statements.

Therefore, with regard to mathematics, an axiom is an accepted statement of fact that is used to prove other statements.

Give the digits in the ones place and the tenths place.
86.59