MATHEMATICS HIGH SCHOOL

Given that the rectangle above has an area of 48 square units, find m angle klj. round the answer to the nearest hundreth.a. 18.43 degrees
b. 36.87 degrees
c. 41.41 degrees
d. 48.59 degrees

Answers

Answer 1

Answer:

Answer:

The correct option is b.

Step-by-step explanation:

The area of a rectangle is

$A=length* width$

The area of rectangle is 48 square units and the width of the rectangle is 6 units.

$48=length* 6$

Divide both sides by 6.

$8=length$

The length of the rectangle is 8.

In a right angled triangle,

$\tan\theta=(perpendicular)/(base)$

In triangle JKL,

$\tan (\angle KLJ)=(JK)/(KL)$

Opposite sides of a rectangle are same.

$\angle KLJ=\tan^(-1)((6)/(8))$

$\angle KLJ\approx 36.87$

The measure of angle KLJ is 36.87. Therefore the correct option is b.

Answer 2

Answer: Hello,

tan KLJ=6/8=3/4
=> mes angle KLJ=36.8698976558...°≈36.87 °
Answer B.

Related Questions

Which two numbers add up to 7 and multiply to 6
in sound and harmonics, the frequency of a vibrating string varies inversely to its length. A guitar string 20 inches long vibrates at a frequency of 400 cycles per second. Find the frequency of a 35- inch string.
Write a compound inequality that represents the evelation range for each type of plant life
Help me please it is literal equation
What is 54.8% written as a decimal?

Write 9.55 as a mixed number

Answers

9.55 as a mixed number would be 9 11/20.

9.55 = 9 55/100 = 9 11/20

Hope this helps !

A store sells 8 cans of fruit cocktail for $22. How much would it cost you to buy 7 cans of fruit cocktail ?It would cost $_______

Answers

Answer:

$154

Step-by-step explanation:

Each can is $22.

You take $22x7=$154

Answer:

19.25$

Step-by-step explanation:

So first with these we always try to get the constant or divided it down to 1.

So 22 divided by 8 = 2.75, which means 2.75 is out constant.

So it is every 1 fruit cocktail it costs 2.75$.

So if we do 1 x 7 = 7

And 2.75 x 7

Then that equals 19.25

So for every 7 cans of fruit cocktail, it costs 19.25

Hope I could help.

The Hendersons have just bought a home that requires some monthly yard maintenance. They are trying to decide if they should hire a professional lawn care service to maintain the property or do it themselves. Below are the costs associated with both options:Professional Service Option Do-It-Yourself Option
$75 for the first month $250 lawnmower
$45 per month after initial visit $135 edger
Includes mowing and edging the $69 hedge trimmer
lawn, trimming the bushes, and $25 rake
raking the leaves.

How long would it take before the Hendersons would recover their costs if they chose to do it themselves over the professional service?
a.
5 months
b.
9 months
c.
10 months
d.
6 months

Answers

First, add together the costs for buying their own stuff. 250+135+69+25=479.

Then figure for the professional costs. Put it in perspective of a year. 45*11+75=570.

Then subtract. Professional- DIY. 570-479=91.

$91 is about 2 months worth of work. So a year has 12 months.

12-2=10

Answer:10 months

Professional Service Option Do-It-Yourself Option:

First month lawnmower = $250

Initial visit = $135

Price for mowing and edging = $69

Price for lawn and bushes trimming = $ 25

Hence, total cost becomes = 250+135+69+25 = $479

Professional service cost for 1 month lawnmower = $75

Professional cost for visit for 11 months (1st visit costs $135) = $45

Total cost for 11 months = 45*11 = $495

Total professional cost = 495+75 = $570

Now, subtracting the professional cost and do it yourself cost we get;

$570-$479=$91.

This $91 is for 2 months worth of work. Hence, months needed to recover costs = 12-2 = 10 months

Hence, the answer is 10 months.

A square brick is 11 inches on each side. What is the area of one face of the brick?

Answers

All sides of a square are the same so if the length of one is is 11 inches, then all of the sides are 11 inches.
To work out the area of a square you multiply the length and the width.
In this case the sum would be: 11 x 11
The answer to that is 121.
So overall, the answer would be 121 inches.

Help plz!! The distance between two planets is 6.75·10^6 miles. The distance from the first to the third planet is 3.56·10^4 times the distance between the first two planets. Write an expression that represents the distance between the first and third planets. (Just an expression, you don't have to solve) Thanks! <3

Answers

D is distance
3.56 x 10^4 (6.75 x 10^6) = D

3.56 x 10^4 (6.75 x 10^6) = Distance

Identify the sample chosen for the study. The number of hours a group of 12 children in Mrs. Smith's kindergarten class sleep in a day. Answer2 Points The 12 children selected in Mrs. Smith's kindergarten class. All children in Mrs. Smith's kindergarten class. The number of hours children sleep.

Answers

Answer:

The 12 children selected in Mrs. Smith's kindergarten class.

Step-by-step explanation:

A sample is a representative part of a population on which a research is carried out.

The study In Mrs Smith's class was to find out the number of hours the children in Kindergarten Sleep in a day. Out of the total number of students, 12 were selected for observation. The 12 childen selected is therefore a sample of the class.

Final answer:

The sample in the study refers to the 12 children in Mrs. Smith's kindergarten class. A sample is a subset of people selected from a larger group for study purposes. In this research, the data being analyzed only pertains to these selected individuals.

Explanation:

In this study, the sample chosen is the group of 12 children in Mrs. Smith's kindergarten class. This is because the data being collected and scrutinized is related to these particular individuals. In this context, 'sample' refers to the subset of people chosen from a larger group (the population) for research or study purposes. It is the set of individuals on which the study or experiment is conducted. In this case, the larger population could be considered all children in kindergarten, but the sample for the study is specifically the 12 children in Mrs. Smith's class, as the study only includes their sleep patterns.