Find the area of △LKJ.

Find The Area Of LKJ.

Answers

Answer 1

Answer:

[tex]A=600\: u^{2}[/tex]

The correct answer is letter c.

Step-by-step explanation:

The area equation of a triangle is given by:

[tex]A=\frac{bh}{2}[/tex]  (1)

Where:

b is the base

h is the height

Let's find first the angle MJK (α), using the tangent definition.

[tex]tan(\alpha)=\frac{24}{32}[/tex]

[tex]\alpha=tan^{-1}(\frac{24}{32})[/tex]

[tex]\alpha=36.9^{\circ}[/tex]

Now, if α = 37° then β (angle JLK) must be:

[tex]37^{\circ} + \beta + 90^{\circ}=180^{\circ}[/tex]

[tex]\beta=53^{\circ}[/tex]

Now, we can find the distance ML using again the tangent definition:

[tex]tan(\beta)=\frac{24}{ML}[/tex]

[tex]ML=\frac{24}{tan(53)}[/tex]

[tex]ML=18[/tex]

The base of the triangle LKJ will be:

[tex]b=32+ML=32+18=50[/tex]

Therefore, using equation (1) the area of △LKJ will be:

[tex]A=\frac{50*24}{2}[/tex]

[tex]A=600\: u^{2}[/tex]

The correct answer is c.

I hope it helps you!


Related Questions

A recipe requires teaspoon of ground cinnamon, 1 teaspoon of ground
nutmeg, and teaspoon of ground allspice. Kate wants more flavor in her
dish and has added an extra teaspoon of each of the three spices.
Which is the best estimate of the total number of teaspoons of spices in
Kate's dish?

Answers

Answer:

2 teaspoons of cinnamon 2 teaspoons of nutmeg and 2 teaspoons of allspice. which would be 6

Step-by-step explanation:

Jacob is planting flowers in his yard. He goes to a nursery to purchase flowers, and he decides to purchase petunias and sunflowers. Each petunia plant costs $2.99 with tax, and each sunflower plant costs $2.79 with tax. Jacob has $43.85 to purchase the flowers. If he buys 10 petunia plants, which inequality can be used to find s, the number of sunflower plants that Jacob can purchase?
A.
10($2.99) + $2.79s < $43.85

B.
10($2.99) + $2.79s > $43.85

C.
10($2.99 + $2.79s) > $43.85

D.
10($2.99 + $2.79s) < $43.85

Answers

Answer:

A.

10($2.99) + $2.79s < $43.85

Step-by-step explanation:

Hope it helps you in your learning process.

Spanky's Sporting Goods is having a sale. All merchandise is 20% off the original price. The original price on a tennis racket is $78.99.

What is the sale price?
A
x
$15.80
B
x
$63.19
C
x
$157.98
D
x
$58.99

Answers

Answer:

B. $63.19

Step-by-step explanation:

You will pay $63.19 for a item with original price of $78.99 when discounted 20%. In this example, if you buy an item at $78.99 with 20% discount, you will pay 78.99 - 15.798 = 63.19 dollars.

a=4

3 + a + 7 - 5 + 10 + a -a=

Answers

3 + 4 + 7 - 5 + 10 + 4 - 4 = 21

Answer:

3+4+7-5+10+4-4=19

Step-by-step explanation:

3+a=3+4+7-5+10+a=10+4-a=10+4-4=19

Alexander is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he flips a coin and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?

Answers

Answer:

its 24

Step-by-step explanation:

delta math said it was right

Answer is 12.

Possible Outcomes:

It is a list of all the resulting possibilities from an event.

(Here),

when he flips the coin, there are 2 outcomes = {front, back}

When he rolls a die, there are 6 outcomes = {1, 2, 3, 4, 5, 6)

For every outcomes of coin there are 6 outcomes of a die.

So, Possible outcomes = 2 * 6 = 12.

Learn more about Possible Outcomes here:

https://brainly.com/question/22299224?referrer=searchResults

#SPJ2

PLEASE HELP For the expression below, write two other equivalent expressions using different terms. Make sure one is fully simplified. -4(x+2)-2x+4

Answers

Given:

The given expression is

[tex]-4(x+2)-2x+4[/tex]

To find:

The two other equivalent expressions.

Solution:

We have,

[tex]-4(x+2)-2x+4[/tex]

Using distributive property, we get

[tex]=-4(x)-4(2)-2x+4[/tex]

[tex]=-4x-8-2x+4[/tex]

So, one equivalent expression is [tex]-4x-8-2x+4[/tex].

On further simplification, we get

[tex]=(-4x-2x)+(-8+4)[/tex]

[tex]=6x-4[/tex]

Therefore, the second and fully simplified equivalent expression is [tex]6x-4[/tex].

write the equation of a line that is parallel to 2x-5y=-20 and passes through the point (7,6)

Answers

Answer:

I guess the answer is 0.4x+3.2=y (0.4 equals to 2/5 ) .

factorise fully :

4(x - y)^2 - 9(x + y)^2​

Answers

Answer:

- ( 5x + y ) ( x + 5y )

or

-5x^2 - 5y^2 - 26xy

Answer:

Step-by-step explanation:

4(x^2-2xy+y^2)-9(x^2+2xy+y^2)

4x^2-8xy+4y^2-9x^2-18xy-9y^2

-5x^2-26xy-5y^2

-5x^2-xy-25xy-5y^2

-x(5x+y)-5y(5x+y)

(-x-5y)(5x+y) or you can also remove the negative one to get

-(x+5y)(5x+y)

Simplify the expression. Write your answer as a power.
[tex](5^{4} )^{3}[/tex]

Answers

Answer:

[tex]5^{12}[/tex]

Step-by-step explanation:

Lets say there's a number 'x' and there's an expression [tex](x^a)^b[/tex] where 'a' & 'b' are also numbers , the simplified form of the expression is [tex]x^{a \times b}[/tex].

So ,

[tex](5^4)^3 = 5^{4 \times 3} = 5^{12}[/tex]

41 Sam has traveled 800 miles in 1.5 days. How
long would it take him to make a cross-country
trip of 2,500 miles traveling at the same average
speed?
A 3.45 days
4.69 days
4.98 days
05.12 days

please answer as soon as possible!!!

Answers

It is 4.69 days or 112 hours

Answer: A or D

Step-by-step explanation:

Look, I’m sorry but I couldn’t find the number of days so your choices are ether A or D. 800 x 3.125 = 2500. I multiply 3.125 and 1.5 but got 4.6875

Eight friends share 2 pumpkin pies equally. What fraction of a pumpkin pie does each friend get?

Answers

Answer:

1/4

Step-by-step explanation:

If there are two pies and eight friends, then 4 friends split each pie. I know this because if you divide eight by two (because there are 8 friends and 2 pies) then you get 4, which means then 4 friends split each pie. You would then figure out how many slices you need to split each pie into. Since there are 4 people per pie, you would split each pie into 4 sections. Each friend would get 1/4 of a pie.

I hope this makes sense to you. If you need any more help, please let me know. I'm always happy to help! :]

Someone needed help with these questions, I couldn't answer it since two people are already answering it soo... Please help him/her!

Answers

First Question:

Follow PEMDAS

Parentheses, Exponents, Multiplication or Division, Addition or Subtraction

3 ÷ [tex]\frac{1}{4}[/tex] × (12 + 2³)

= 3 ÷ [tex]\frac{1}{4}[/tex] × (12 + 8)

= 3 ÷ [tex]\frac{1}{4}[/tex] × (20)

= 3 × 4 × 20

= 12 × 20

= 240

Second Question:

change the mixed number into an improper fraction:

[tex]3\frac{2}{3}[/tex] = [tex]\frac{11}{3}[/tex]

= [tex]\frac{11}{3}[/tex] ÷ [tex]\frac{3}{4}[/tex]

= [tex]\frac{11}{3}[/tex] × [tex]\frac{4}{3}[/tex]

= [tex]\frac{44}{3}[/tex]

rounded to WHOLE number: 14 containers

Write the standard equation of the circle.

Answers

Answer:

x^2 + y^2 = 4

Step-by-step explanation:

General for of a circle is x^2 + y^2 = r^2

The circle is centered at the origin and the radius is 2.

Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please

Answers

Answer:

6

Step-by-step explanation:

We know that the two quads are of similar and the ratio is 1:2, thus

AB/RS = 1/2

3/x = 1/2

x = 6

CAN SOMEONE PLEASE ANSWER 11,13,14,15 ?
MARKING BRAINLIST AND GIVING 50 PONITS . DONT ANSWER IF U DONT KNOW PLEASE .

Answers

Answer:

I gotchuThese are all fractions btw.

11.   -9/32

12. -3/5

13. 4/7

14. 3/8

15. 3/4

Step-by-step explanation: When you do these problems, it's fairly simple. just make sure you plug the numbers in the correct spots. having a calculator help a lot too!

Answer:

11.   -9/32

12. -3/5

13. 4/7

14. 3/8

15. 3/4

those are you answers... you can mark the other guy brainliest i have enough

Step-by-step explanation:

The area of a rectangle is 192 in ^2. The ratio of the length to the width is 4:3. Find the length and the width.

The length of the rectangle is ___ in.
The width of the rectangle is___.

Answers

Answer:

Length = 16 in

Width = 12 in

Step-by-step explanation:

Given:

Area of a rectangle = 192 in²

Ratio(length to width) = 4:3

Find:

Length and the width

Computation:

Ratio(length to width) = 4:3

So,

Length = 4a

Width = 3a

Area of a rectangle = Length x Width

192 = 4a x 3a

192 = 12a²

a² = 16

a = 4

Length = 4a = 4 x 4 = 16 in

Width = 3a = 3 x 4 = 12 in

⅚–⅓ what is the answer to this fraction ​

Answers

Answer:

5×3-6×1/6×3=15-6/18=9/18=9

Answer:

5/6-1/3

taking LCM

(5-2)/6=3/6=1/2 is your answer

b.
how many bags are needed to seed the lawn?
If one bag of grass seed covers 2,000 square feet,
-plies.

Answers

The answer is b
Explanation I’m smart

????help me please #6thgrademath

Answers

Answer:

c

Step-by-step explanation:

you divide to see how much she earns per hour

I need help pls

I WILL GIVE BRAINLIEST
Pls help

Answers

Answer:

1. The square root of 100

2.c=27.11

d=13.96

e=12.6

Step by step explanation:

1. 2×50=100 the geometric mean is the square root of 100

2. The diagram is made up of three right angled triangles the big outer one and two triangles inside the big one thus we can use the pythagorean theorem to come up with expressions which will help us in solving the unknown parts as below.

c²=30²-d²

c²=e²+24²

d²=e²+6²

both the following add up to c² meaning they are equal:

c²=30²-d²

c²=e²+24²

thus

30²-d²=e²+24²

I want to remain with d² only thus;

30²-24²-e²=d²

900-576=324 (squareroot of 324=18) so

d²=18²-e² and d²=e²+6²

both the above add up to d² meaning they are equal thus;

18²-e²=e²+6²

18²-6²=e²+e²

324-36=2e²

318=2e²

159=e²

e=12.61

Thus d²=e²+6²

d²=12.61²+6²

d²=159+36

d²=195

d=13.96

c²=e²+24²

c²=12.61²+24²

c²=159+576

c²=735

c=27.11

I hope this helps

To make 4 batches of cupcakes, it takes 6 cups of flour. How many cups of flour are needed for 1 batch?

Answers

Answer:

1.5

Step-by-step explanation:

First you divide 6 by 4. It looks like this 6/4.

Then you get 1.5 cups of flour.

Good Luck!

Answer:

3/2 cups

Step-by-step explanation:

4 batches = 6 cups

1 batch of cupcakes = (6/4) cups of flour.

hence, 3/2 cups of flour are needed for 1 batch.

Dallas, Texas has an elevation of 200 feet above sea level. The city of Jacksonville is 300 feet less than the elevation of Dallas. Select all options that apply to Jacksonville. at sea level below sea level above sea level elevation of -100 feet elevation of 100 feet

Answers

Answer:

below sea level;

-100 feets

Step-by-step explanation:

Given that:

Dallas, Texas elevation = 200 feets

Jacksonville = 300 feets less than elevation of Dallas

Hence, elevation of Jacksonville :

Dallas elevation - 300 feets

200 feets - 300 feets = - 100 feets

Hence Elevation of Jacksonville city is - 100 feets

-100 feets, means elevation of Jacksonville city is below sea level (elevation points less than 0, are below sea level).

(x^2+8x+16)-1-16

what is the vertex form

Answers

Answer:

Use photo math, it will explain it all in different forms

meter in length. What
The fairy fly is one of the world's smallest insects. It may measure no more than 1.39 x 10
the total length of 2 of these insects, placed end to end?
A 2.78 x 10-8 meter
B. 2.78 x 10
-4
aft
meter
C. 1.39 x 10
-8
meter
D. 1.39 x 10
0--2
meter

Answers

Answer: Llaus because laid
Explanatory-

Please look at the picture I need help please answer!!!!???

Answers

Answer:

16t

Step-by-step explanation:

Answer:

The answer is 8 tons.

16,000 lbs = 8 T

Find the probability that you will roll an even number exactly 5 times when you:

roll a six-sided number cube 10 times.
P =0.246

roll a six-sided number cube 20 times.
P =0.015

Explain why the second result is less.

Answers

Because you are rolling the cube more times, the probability of rolling an even number decreases. You have to divide by a bigger number, which always means the result will be smaller.

Please mark brainliest would greatly be appreciated.

Answer:

Sample Response: As the number of trials changes, the distribution changes. Since there is a 50% chance of rolling an even number, having a small number of successes is less likely when the number of rolls increases.

Step-by-step explanation:

I just did the Assignment on EDGE2020 and it's 200% correct!  

Also, heart and rate if you found this answer helpful!! :) (P.S It makes me feel good to know I helped someone today!!)  :)  

A shipping company places circular labels on all of their products. Each label measures a 4 inch radius. If the company order 10 label, how many square inches are needed? Use 3.1 for π.

Answers

Answer:502.4 Square inches are need.

Step-by-step explanation:

Please help RIGHT NOW PLEASE HELP NOW

Answers

1. it describes what the cost would be for two medium lattes and one small latte all together.

2. it would be the first one which is 2x + y = 7.15

Step-by-step explanation:

hello am just trying to make sure I did the gray one right ​

Answers

Answer:

Correct

Step-by-step explanation:

To isolate the variable of x, simply add 16 to 11 which is 27 and now it is set up as 4.5x=27 and 27/4.5, it = 6

Answer:

Gray and all are right.

Step-by-step explanation:

4.5x + 16 = 11.5

4.5x = 11.5 - 16

4.5x = -4,5

x = -4.5/4.5

x = -1

4.5x + 27 = -9

4.5x = -9 - 27

4.5x = -36

x = -36/4.5

x = -8

4.5x - 16 = 11

4.5x = 11 + 16

4.5x = 27

x = 27/4.5

x = 6

-4.5x + 27 = 45

-4.5x = 45 - 27

-4.5x = 18

x = 18/-4.5

x = -4

12(3+m)
A.36m
B.36+m
C.36+12m
D.3m+12m
PLEASSSSEEE HELP ASAP 15

Answers

Answer:

C. 36+12m

Step-by-step explanation:

When you distribute a number outside the parenthesis, you multiply it to all numbers nor letters in the parenthesis. Hopes this helps

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