The base of a triangle is 9/4 times of its height. If the area of triangle is 144 cm2. Find the height and the base.

Answers

Answer 1

Step-by-step explanation:

Given that the base of triangle is 9/4 times of its height . And area is 144 cm² . Let the height be h , then its base be 9h/4 .

• According to Question :-

[tex]\tt\to Area_{(\triangle)}=\dfrac{base\times height}{2}\\\\\tt\to 144cm^2 = \dfrac{9h\times h}{4\times 2 } \\\\\tt\to h^2 =\dfrac{12\times 12 \times 2 \times 2 }{3\times 3 }\\\\\tt\to h =\sqrt{\dfrac{12\times 12 \times 2 \times 2 }{3\times 3 }}\\\\\tt\to h =\dfrac{(12)(2)}{3} \\\\\tt\to \boxed{\orange{\tt h = 8 cm }}[/tex]

Therefore ,

Height = h = 8cm .Base ,= 9h/4 = 18cm .

Related Questions

can u plz help me!? i need help

Answers

the answer is 4 buses

Step-by-step explanation:

because you multiply 30 times 4 and it gives you you the right answers

Yea what he siad sorry just answering because I need to ask


3) Emma is great at the standing long jump. Her best jump is 10 feet 8 inches. How many
inches is this?

Answers

Answer:

128 inches

Step-by-step explanation:

Answer:

128 inch

Step-by-step explanation:

The answer would be 128 inches since:

1 ft= 12 inches

10x12= 120

And you can't forget about the 8

120+8= 128 inches

Hope this helps

Find the sum: (7b
-4) + (-2b+1).

Answers

Answer:

=5b-3

Step-by-step explanation:

(7b -4) + (-2b+1).

Remove parenthesis;

7b-4+-2b+1

Group like terms;

=7b-2b-4+1

Add similar element

7b-2b=5b

=5b-4+1

Add/subtract the numbers

=5b-3

Answered by the ONE & Only #QUEEN herself aka #DRIPPQUEENMO

HOPE THIS HELPED!!!

You want to purchase a new car in 3 years and expect the car to cost $30,000. Your bank offers a savings plan with a guaranteed APR of 5.5% if you make regular monthly deposits. How much should you deposit each month to end up with $30,000 in 3 years?

Answers

Answer:

i think its appr. $1,818

Step-by-step explanation:

im not really sure tho  

23/24
What does a quartile mean?
All of the data
One fourth of the
data.
One half of the
data

Answers

Answer:
One fourth of the date
Explain: quartile=quarter

Find the volume of a cylinder with a radius of 3 meters and a height of 13 meters. Use 3.14 The volume of the cylinder is Type a whole number or decimal rounded to the nearest hundredth as needed.)​

Answers

Question:-

Find the volume of a cylinder with a radius of 3 meters and a height of 13 meters.

Answer:-

Given:-

[tex] \bullet [/tex] Radius (r) of a cylinder = 3 meters.

[tex] \bullet [/tex] Height (h) of a cylinder = 13 meters.

To Find:-

The volume of a cylinder.

Solution:-

We know,

Formula of Volume of a cylinder is πr²h.

So, Volume of a cylinder = 3.14 × (3)² × 13

Volume of a cylinder = 3.14 × 3 × 3 × 13

Volume of a cylinder = 367.38 cubic meters.

The volume of a cylinder is 367.38 cubic meters. [Answer]

3 sin 0 = 3 cos 20
what is the solution set?

Answers

Answer:

Step-by-step explanation:

3 sinθ=3 cos 2θ

sin θ=cos 2θ

sinθ=1-2sin² θ

2sin²θ+sin θ-1=0

2sin²θ+2sinθ-sinθ-1=0

2sin θ(sin θ+1)-1(sin θ+1)=0

(sin θ+1)(2 sin θ-1)=0

sin θ=-1=-sin 90=sin (180+90)

θ=270

or sin θ=1/2=sin 30,sin (180-30)

θ=30,150

solution set is {30,150,270}

what is the surface area of the cylinder with the height of 6ft and the radius of 6ft. round your answer to the nearest thousandth.

please NO LINKS!!!

Answers

2.7 is the answer you should get help

I need help with angles

Answers

Answer:

1. ∠CFD = 28°

2. ∠RPQ = 53°

Step-by-step explanation:

For the first one:

∠CFD and ∠DFE are angles on a straight line

Angles on a straight line add up to equal 180

That being said we can find the missing angle (∠CFD) by subtracting the given angle measure (152°) from 180

so ∠CFD = 180 - 152

180 - 152 = 28

Hence, ∠CFD = 28°

For the second one:

Complementary angles have a sum of 90°

If ∠RPQ and ∠SPR are complementary angles we can find the missing angle ( ∠RPQ in this case ) by subtract the given angle measure ( 37° ) from 90

so ∠RPQ = 90 - 37

90 - 37 = 53

Hence , ∠RPQ = 53°

I'LL GIVE BRAINLIST TO THE FIRST ANSWER

Answers

Answer:

4

Step-by-step explanation:

2/5*100 = 40

40/10 =4

Answer:

4

Step-by-step explanation:

2/5 of a century is 40 years. 40 years is 4 decades

Analyze the data represented in the graph and select the appropriate model. A) exponential B) linear C) none D) quadratic​

Answers

Answer:

exponentialIt couldn’t be liner, liner is straight, the line is wriggly,, quadriceps obv no, so it has to be exponential.

Evaluate:

6(5 – z) + 2z

Answers

Answer:

30 - 4z

Step-by-step explanation:

6(5 – z) + 2z

(Multiply 6 by each term in the brackets)

6(5) - 6(z) + 2z

30 - 6z + 2z

(add 'like' terms)

30 -4z

Prove that sin^4x + cos^4x= sinxcosx

Answers

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

[tex]sin^4(x) + cos^4(x)[/tex]

We can rewrite this as:

[tex](sin^2(x))^2 + (cos^2(x))^2[/tex]

Now we can add and subtract cos^2(x)*sin^2(x) to get:

[tex](sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)[/tex]

We can complete squares to get:

[tex](cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2[/tex]

and we know that:

cos^2(x) + sin^2(x) = 1

then:

[tex]1 - 2*sin(x)^2*cos(x)^2[/tex]

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

[tex]1 - \frac{sin^2(2*x)}{2}[/tex]

Then the simplification is:

[tex]cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}[/tex]

What is the gross earnings for a person who has $26,480 in total sales,
$1250 in Returns and Allowances, and a rate of commission of 7%?

Answers

Answer:

$3103.6

Step-by-step explanation:

Given data

Total sales= $26,480

Returns and Allowances=$1250

Commission = 7%

Let us find the amount in commission earned

=7/100*26,480

=0.07*26480

=$1853.6

Hence the gross earnings

=1853.6+1250

=$3103.6

Sketch pad and six pencils is $22.53. Sketch pad cost $9.99. Each pencil cost the same amount. How much does each pencil cost? Show your work.

Answers

Answer:

22.53-9.99=12.54

12.54 divided by 6 = 2.09

Each pencil costs $2.09

What is the value of g(0)
a. 1
b. 0
c. 8
d. 4

Answers

Answer:

c. 8

Step-by-step explanation:

1)  [tex]g(x)=8(\frac{1}{2} )^{x}[/tex]

2)  [tex]g(0)=8(\frac{1}{2} )^{0}[/tex]

3)  [tex]g(0)=8*1[/tex]

4)  [tex]g(0)=8[/tex]

(Will dive brainly!! please!!)

The Steven's family owns a house worth $280,000, of which they still owe $113,545 on the mortgage. They also own two cars, one worth $5,200 and the other worth $15,600. They still owe $9,200 on one of the car loans. They have $2,300 in credit card debt and owe $18,200 for their daughter's wedding. What is their net worth?


A) $157,555
B) $162,155
C) $300,800
D) $143,245

Answers

9514 1404 393

Answer:

  A) $157,555

Step-by-step explanation:

The sum of assets is ...

  house + 2 cars = $280,000 +5,200 +15,600 = $300,800

The sum of liabilities is ...

  mortgage +car loan +credit card +wedding

  = $113,545 +9,200 +2,300 +18,200 = $143,245

The family's net worth is the difference between assets and liabilities:

  $300,800 -143,245 = $157,555

13. What is the perimeter of the triangle below?
X+14 X+14 2x+36

Answers

Answer:

4x + 64

Step-by-step explanation:

(X + 14) + (X + 14) + (2x + 36) = 4x + 64


Rozlyn invested $2000 in an account that pays 4.25% annual
simple interest. She will not make any additional deposits or
withdrawals. How much interest will Rozlyn earn on her
investment in 10 years?
i got 3790.53617 can someone just make sure

Answers

9514 1404 393

Answer:

  $850

Step-by-step explanation:

The amount of interest earned is ...

  I = Prt . . . . . on principal P at annual rate r for t years

Using the given values, the interest earned is ...

  I = $2000·0.0425·10 = $850

The interest Rozlyn's account earns in 10 years is $850.

x - 75 = 200

whats the answer make sure to do a explanation

Answers

Answer:

275

Step-by-step explanation:

x- 75 = 200

add 75 to both sides of equation

x = 275

Is Urgent ......The satisfaction that consumers get from their purchases is known as what?
A. Materialism
B. Marginalism
C. Subjectivity
D. Utility

Answers


“Subjectivity” is the answer i believe .

Answer: D

Step-by-step explanation:

Fits the definition

Identify the volume of a square pyramid with base edge length 18 cm and height 16

Answers

Answer:

1728

Step-by-step explanation:

a. Estimate Kevin rode 30 km in 2 hours. At that rate, how long would it take him to ride 75 km? Estimate an answer. Then use a case 1-case 2 ratio box to solve this problem.​

Answers

It took 5 hrs to ride

At 4.5 miles per hour, how long will it
take him to walk 18 miles?

Answers

Answer:

4 hours

Step-by-step explanation:

If he walks at 4.5 mph, then it will take him 18/4.5 hours to walk 18 miles. 18/4.5 is equal to 4.

Find the exponential function that contains the points (0,5) and (2,20)

Answers

Do it open the link takes all your information have a good one

Lola has 3 feet of ribbon. She needs to cut the ribbon into equal 2-inch strips
2
How many 2-inch strips can she cut from the 3 feet of ribbon?
2
A
15
B
90
C
21
D
145

Answers

Answer:

18

Step-by-step explanation:

1 ft=12in

3ft=36in

divide 36 by 2 and you get 18

Help me I have this due today!!!

Answers

Answer:

The answer is 21/25.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer the question based on the data in the two-way table.
Grades
Gender
Below Above
Average Average
Boy 14 23
Total
37
Girl
16
22
38
Total
30
45
75
Which statement is true?
O A. Aboy above average grades) = P(boy)
B.
Pabove average grades boy) = Pabove average grades)
Ос.
Pboy above average grades) # Pabove average grades)
OD. Pabove average grades| boy) = P(boy)

Answers

Answer:

d

Step-by-step explanation:

P(boy above average grades) P(above average grades) is the right answer. The correct option is C.

What is conditional probability?

The likelihood that event A will occur provided that event B has already happened is known as conditional probability. It is written as "the probability of A given B" and is indicated by the symbol P(A|B).

We must employ conditional probability in order to respond to this inquiry. We are aware that there are 75 pupils in the class overall, with 37 boys and 38 girls. We also know that 22 girls and 23 boys both have GPAs above the national average.

A. Boy with above-average grades equals a boy.

This claim is untrue. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(boy with average grades). The odds of these two events are not equal.

B. Boy with above-average grades equals P with above-average grades

This claim is untrue. The chance of picking a student with above-average grades at random from the class is P(above average grades), which is (23+22)/75 = 45/75. The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(above-average grades boy). The odds of these two events are not equal.

P (boy with above-average grades) C (boy with above-average grades)

This assertion is accurate. P(boy over average grades) = 23/75 and P(above average grades) = 45/75, respectively, are already known values. The odds of these two events are not equal.

D. P(boy | grades over average) = P(boy)

This claim is untrue. The conditional probability that a student will have above average grades given that they are a boy is P(above average grades | boy), which is 23/37. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The odds of these two events are not equal.

Therefore, the correct statement is C. P(boy above average grades) ≠ P(above average grades).

To know more about conditional probability follow

https://brainly.com/question/10739997

#SPJ7

Micah and Lucy are in the school play.
Micah memorizes 12 lines of the script the first day and 10 lines each day after that.
Lucy memorizes 8 lines of script the first day and 12 lines each day after that.
What ordered pair represents the total number of lines they have memorized after 5 days?
(12, 8)
(40, 48)
(50, 60)
(52, 56)

Answers

Answer:

(52,56)

Step-by-step explanation:

The carpet for the office you completed cost $576. If you're using the same carpet in the new client's bedroom, how much will it cost? Round up to the nearest whole dollar. (Hint: You may want to find the area of each room and the cost of the carpet per square foot.)

A. $360

B. $280

C. $64

D. $225

Answers

Answer:

D. 225

Step-by-step explanation:

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