Mathematics High School

Find the area of ΔLKJ

Answers

Answer 1

9514 1404 393

Answer:

D. 37.5 square units

Step-by-step explanation:

There are a couple of ways to figure this.

1. The altitude KM is the geometric mean of the segment lengths ML and MJ

KM = √(ML·MJ)

ML = KM²/MJ = 36/8 = 4.5

Then LJ = 4.5 +8 = 12.5, and the area of the triangle is ...

A = (1/2)bh

A = (1/2)(12.5)(6) = 37.5 . . . square units

2. Triangle LKM is similar to triangle KJM. The scale factor is ...

KM/JM = 6/8 = 3/4

Then the area of triangle LKM is (3/4)² = 9/16 of the area of triangle KJM.

The total area is ...

Area of LJK = (area of KJM)×(1 + 9/16)

= (1/2)(8)(6)(25/16) = 75/2 = 37.5 . . . square units

Related Questions

If the circumference of a circle is 82p , then the value of ‘r’ is

(i) 41 cm
(ii) 82 cm
(iii) 21 cm
(iv) 20 cm

Answers

Answer:

41cm

Step-by-step explanation:

The circumference of a circle is 82π

Therefore r can be calculated as follows

2 × π × r= 82× π

2πr= 82π

r = 82π/2π

r= 41

Hence r is 41cm

Can anyone help? Thanks

Answers

Answer:

jmmbnmmnbhm

Step-by-step explanation:

5y7ik6rto8i7tipupuj

over the next 12 months you have read at least 72 books. You have read x books per month. The inequality 12x >72 represents this situation. Solve the inequality to find the number of books you have to read per month

Answers

Answer:

Step-by-step explanation:

72/12

Which of the following coordinates are exactly 5 units from (2, -1)? Select all that apply.

(3, 4)
(5, 3)
(-2, 2)
(-3, -1)

20 Brainly points!

Answers

The answer is -3, -1

Answer:

-3-1

Step-by-step explanation:

Use the strategy you developed i
a. a/7 + a/3 = 10

Answers

Answer:

A=21

Step-by-step explanation:

a/7 + a/3 = 10

3a/21+7a/21=210/21

3a+7a=210

10a=210

a=21

E
Learning Task 3: Solve for n. Write your answers in your notebook
1. 12.88 + 0.92 = n
2. 34.08 + 0.24 = n
4. 7.15+ 0.05 = n
5.210.21 +0.91 - n
2.1
3. 28.9-0.85 = n

Answers

1. 13.8

2. 34.32

4. 7.2

5. 211.12

3. 28.05

Please help me in this

Answers

The answer is A. 2 and 4

Reason:

To formula for circumference is 2 x r x pi

2 x 2 = 4, 2 x 4 = 8and 4 + 8 = 12

Area is r ^2 x pi

2 ^2 = 4, 4^2 = 16 and 4 + 16 = 20

find x. PLSSSS HELP HURRYYY !!

Answers

Answer:

x = 141

Step-by-step explanation:

the question is "get y by itself" and the equation is 5x + 5y =15

Answers

Answer:

y=3-x

Step-by-step explanation:

Answer:

First we get y on one side by itself.

5x+5y=15

We move x over to the other side.

5x-5x+5y=15-5x

Simplify.

5y=15-5x

Now we remove the coefficient from y.

5y/5=(15-5x)/5

Simplify.

y=15/5-5x/5

y=3-x

The answer is y=3-x

Nathan is making chocolate chip cookies, the recipe calls for 2 cup chocolate chips and will make 4 dozen cookies. He increases the recipe to make 6 dozen cookies and will need 3 cups chocolate chips. Find the constant of proportionality

Answers

Answer:

1/2

Step-by-step explanation:

From the above question, we can see that the Number of Chocolate chips is directly proportional to the number of Dozen cookies

Hence:

C = Chocolate chips

D = Dozen cookies

Hence:

C ∝ D

C = kD

Where k = Constant of Proportionality.

We are told that , the recipe calls for 2 cup chocolate chips and will make 4 dozen cookies.

Hence:

2 = 4k

k = 2/4

k = 1/2

Also, He increases the recipe to make 6 dozen cookies and will need 3 cups chocolate chips.

3 = 6k

k = 3/6

k = 1/2

Therefore, from the calculations above, the constant of proportionality is 1/2

5x^2-26x-24=0
what does x equal?

Answers

Answer:

x=4

x=6/5

Step-by-step explanation:

5x^2-26x-24=0

(x-4)(5x-6)

solve for x
8x = -14

Answers

Answer:

-7/4

Step-by-step explanation:

8x=-14

X=-14/8

X=-7/4

X=7/4-
I hope this helps

what is this pls help me 54 point to whoever helps me

Answers

Answer:

3 1/5

Step-by-step explanation:

9 7 5 10 5 3 work out the median

Answers

Answer:

Step-by-step explanation:

3 5 5 7 9 10

Take 5 and 7 and then avrage them.

What is the y-intercept of function g if g(x) = -4f(x) + 12?
OA. (0,-4)
OB. (0,12)
OC. (0,8)
OD. (0,1)

Answers

Answer:

the correct answer is C (0,8)

Step-by-step explanation:

got 100%

Answer: C (0,8)

Step-by-step explanation: correct on test

SUMMATIVE TEST

ARALING PANLIPUNAN 4

QUARTER 2

tama

temeli

1

Panuto: Isulat kung TAMA O MALI ang mga sumusunod na pahayag.

1. Nakabatay ang hanapbuhay sa kapaligiran.

Gama 2. May interaksyon ang tao sa kanyang kapaligiran,

3. Malawak ang pangisdaan sa Pilipinas.

4. Magkakaiba ang produkto sa iba't-ibang bahagi ng bansa ayon sa kapaligiran.

5. Umaasa ang Pilipino sa gobyerno para matapos ang mga pangangailangan

6. Ang mga likas na yaman ay inaangkat natin sa ibang bansa

7. Ang climate change ay nagpapayaman sa Pilipinas

8. Ang polusyon ay nakaapekto ng mabuti sa ating kalusugan,

9. Ang pagre-recycle ay matalinong pangangasiwa ng mga bansa.

10. Ang likas na yaman ay maaaring maubos at mawala.

Answers

Answer:

1.mali

2.mali

3tama

4.tama

5.mali

6.tama

7.mali

8.mali

9.tama

10.mali

please please help, if you could show work too that would be amazing!

Answers

Answer:x=75

Step-by-step explanation:

They are opposite of eachother so they are equal to eachother

2x= 130

x= 75

simplify these expressions: 12x - 3x

Answers

Answer:

12x-3x

= 9x

Step-by-step explanation:

Hope it is helpful....

850 liters of walcr was shared cqually among 5 aquariums.
Ilow many liters of water does each aquarium have?

Answers

Each aquarium has 170 liters of water in it.

Step-by-step explanation:

To get this, you need to divided 850 by 5 to get the amount of water in each tank to make sure that it is all equally distributed. This way we now know that each tank needs 170 liters of water to have an equal amount of water in each tank

help me please it’s due today

Answers

Answer: -1/2

Step-by-step explanation:

Find the least common denominator 1/3 1/5

Answers

15 because 3x5 is 15

An airplane on autopilot took 9 hours to travel 6552 kilometers. What is the unit rate for kilometers per hour?

Answers

Answer:

728

Step-by-step explanation:

6552/9 = 728

I need help with this math work

Answers

B because when you plus the minus numbers you still minus it

Name all the sets of numbers to which each real number belongs. Check all that apply. 4/7

Answers

Answer:

What are you talking about .

Step-by-step explanation:

Twenty pounds of bean are distributed equally into 16 bags to give out at the food bank.How many pounds of beans are in each bag?eter your answer in simplest form.

Answers

Answer:

1.25

Step-by-step explanation:

step 1.so if there is 20 pounds between 16 bags ok

step 2. divide 20 by 16 which equals 1.25

The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges

Answers

Answer:

$1.38

Step-by-step explanation:

The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges

The cost difference is calculated as:

Cost of 6lbs of oranges - Cost of 4lbs of oranges

Cost of 6lbs of oranges = $6.18

Cost of 4lbs of oranges = $4.80

Hence,

= $6.18 - $4.80

= $1.38

Of the 10 clients who had their hair cut at Sue's salon last month, 5 had blond hair. Considering this data, how many of the next 14 clients to get haircuts should you expect to have blond hair?

Answers

Answer: 7 clients

Step-by-step explanation:

Of the last 10 clients that cut their hair at the salon, 5 had blond hair.

That is a proportion of:

= 5 / 10

= 1/2

Assuming this same proportion applies to the next clients Sue gets, the expected number of blonde people will be:

= Number of clients * 1/2

= 14 * 1/2

= 7 clients

Solve the inequalities by graphing. Select the correct graph. y> X y<-X

Answers

Answer:

i think is y>X

Step-by-step explanation:

find the distance of a cord 8cm from the centre of a circle of a radius 5 cm

Answers

Answer:

d = 3 cm

Step-by-step explanation:

Given that,

The distance of a cord, c = 8 cm

The radius of the circle, r = 5 cm

Half of the cord = 4 cm

We need to find the distance of a cord from the centre of the circle. We can find it using Pythagoras theorem,

[tex]5^2=d^2+4^2\\\\d^2=25-16\\\\d=3\ cm[/tex]

So, the required distance is 3 cm.

m=7 n=8 n+9m Please help it’s due in 10 minutes-

Answers

***P.E.M.D.A.S.***

N+9m M=7 N=8
8+9(7)
8+63
71

Other Questions

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