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

here are the prices of 5 new bicycles in dollars 25,30,50,77,80. The standard deviation is about $26.If a 6th bike is added to the sample that has a price of $400 what happens to the standard deviation?

Answers

Answer:

The new standard deviation will be greater than $26

Step-by-step explanation:

The new bicycle has a price much larger than the price of the others. In fact it is almost double the price of the other bicycles. It causes a large increase as a result. Also, I took the quiz.

there are 125 vehicles in a car dealership's lot. at least 88 of them are hybrid vehicles. write solve an inequality that describes how many vehicles, at most, are not hybrid.

Answers

Answer:

it is 37.

Step-by-step explanation:

125 - 88 is 37

1. The graphs below represent functions defined by polynomials. For which function are the zeros of the
polynomials 2 and - 3?

Answers

Answer:

the second graph (c)

Step-by-step explanation:

The curve is passing through (0, 2) and (0, -3). Then the correct option is B.

What is a polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The zeroes of the polynomial function are 2 and -3.

The number of zeroes is 2. Then the degree of the polynomial will be 2. So, the function is a quadratic function.

The zeroes of the function represent the x-intercepts. Then the curve is passing through (0, 2) and (0, -3).

Thus, the correct option is B.

More about the polynomial link is given below.

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9. The ratio of Joe's weight to Colin's is 2:3. Colin's weight is 36kg. If Joe gains
3 kg, what will be the new ratio of Joe's weight to Colin's?

Answers

2:3
?:36

36/3=13
2x13=26

26:36

26+3=29

29:36

⚠️URGENT PLEASEEEEE HELP!!!

Find the m

Answers

Answer

It is 112

Step-by-step explanation:

Maya plots the yards lost during a football game on a number line and labels it A. She plots Point B to the right of zero, a distance that is exactly as far from zero as Point A is. Which sentence is a correct statement about Point B?
The sum of the values of Point A and Point B is negative.
The sum of the values of Point A and Point B is zero.
Point B lies twice the distance from 0 as Point A.
Point B lies to the left of Point A on a number line.

Answers

Answer:

B

Step-by-step explanation:

The sum of the values of Point A and Point B is zero since Maya plotted Point B a distance that is exactly as far from zero as Point A is.

Answer: B) The sum of the values of Point A and Point B is zero.

Step-by-step explanation:

They are equally distant from 0, so they cancel eachother out.

Translate the statement 'fifty-four minus the product of six and four' into a numeric expression and then evaluate the expression. In the first box, input the expression without evaluating, so your answer should look like 4 ⋅ 2 + 9 . In the second box, put the actual value of the expression, like 17 .

The numeric expression is: __________

The value of the expression is: ____________

Answers

Answer:

54-(6x4)

Step-by-step explanation:

6x4=24

54-24=30

The numeric expression is: 54-(6x4)

The value of the expression is: 30

So sorry if I'm wrong.

Find 0% of 120:

Find 100% of 120:

Find 50% of 120:

Find 25% of 120:

Find 75% of 120:

Answers

Answer:

Find 0% of 120: 0

Find 100% of 120: 120

Find 50% of 120: 60

Find 25% of 120: 30

Find 75% of 120: 90

Step-by-step explanation:

Rosa made a mosaic wall mural using 44 black tiles, 30 blue tiles and 26 red tiles. Enter a percent to represent the number of red tiles in the mural. The number of red tiles in the mural represents ___%​

Answers

26/100

Step-by-step explanation:

26%

44+30+26=100

26/100

0.26

26%

Which statement describes the system of equations?
3x-4y=-35
3x+4y=5
1.) It has one solution (–5, 5).
2.)It has one solution (5, –5).
3.)The system has no solution.
4.)The system has infinitely many solutions.

Answers

Answer:

1.) It has one solution (–5, 5).

if you click on the photo it will show you how to get the answer. I hope this helps you.

What is 17 times 5 decided by 8

Answers

17x5/8 is 10.6 i believe

We are told that the data is representative of the two populations (U.S. males aged 20-29 years and U.S. males aged 75+ years), and we will assume that researchers collected random samples. The samples are very large; therefore, the conditions are met for use of the T-test. Using StatCrunch, we find a T-score of 5.3 and a P-value of "< 0.0001." What can we conclude? Group of answer choices The data prove that, in the U.S., young men weigh about 4.9 kgs more on average than old men. The data suggest that young men weigh more on average than old men in the U.S., but that the difference in mean weights for the two groups is not statistically significant. The data provide strong evidence that young men weigh more on average than old men in the U.S. no conclusion is possible because we did not specify a significance level

Answers

Answer:

The data provide strong evidence that young men weigh more on average than old men in the U.S

Step-by-step explanation:

Given :

The null hypothesis ; H0 : μ1 = μ2

The alternative hypothesis ; H1 : μ1 > μ2

T score = 5.3 ; Pvalue = < 0.0001

The decision region :

If Pvalue < α ; We reject the Null

If Pvalue > α ; We fail to reject the Null

When the α - level isn't stated, we usually assume a α - level of 5%

However, even at lower alpha level of 1% = 0.01 ;

The Pvalue < α

Hence, we can conclude that there is significant evidence that there is difference in the mean weight of young men and old men in the U.S

the segments shown below could form a triangle. True or false ​

Answers

Answer:

true

Step-by-step explanation:

true

Determine the missing length in each right triangle using the Pythagorean theorem. Round the answer to the nearest tenth, if necessary.

Answers

Answer:

answer is 9 yd

Step-by-step explanation:

The missing length in right triangle by using the Pythagorean theorem is,

⇒ 9 yards

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

We have to given that;

In a right triangle,

Hypotenuse = 15 yd

Perpendicular = 12 yd

Hence, By Pythagoras theorem;

Base² = 15² - 12²

Base² = 225 - 144

Base² = 81

Base = √81

Base = 9 yards

Thus, The missing length in right triangle by using the Pythagorean theorem is,

⇒ 9 yards

Learn more about the Pythagoras theorem visit:

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In the diagram, which pair of angles are vertical angles?

<1&<2
<4&<6
<6&<8
<5&<3

Answers

Answer:

<6&<8

Step-by-step explanation:

Hope this helps!

Answers have to be 20 characters long so I added this to give you the answer!

Have a great day!

HELPPPP PLZZZZZZ HELPPP

Answers

Answer:200

Step-by-step explanation:

100 x 2

the cube of it is five my five by four and you'll get your answer

I NEED HELP PLEASE HURRY

Answers

ITS B!!

BRANLIEST PLEASE and thanks

Answer: the turquoise option (teal?)

x[tex]\leq[/tex]$87.26

Step-by-step explanation:

subtract $50 from $137.26. that's how much you can spend without getting charged. $87.26. you can spend less than or exactly $87.26 without getting charged. for the inequality symbol, it would be [tex]\leq[/tex] (less than or equal to)

i have spanish assignments on that same exact website lol

The sum of k and 8. what would the expression be?​

Answers

the expression for for the sum of k and 8 would be k+8
Sum is addition, so it would be k+8

please help again once again 10 POINTS AND 15!

Answers

40 cubic units, just count them my guy

you got a chunk of 32 and a chunk that's 8

may you guys help :)

Answers

Answer:

its the last one (d)

Step-by-step explanation:

expressions below are equi valent? 5(w + 12)=5w + 60 Associative property Commutative property Inverse property Distributive property​

Answers

You would use the Distributive property to make the left side the same as the right side.

5(w+12) = 5w + 60

Multiply the 5 by each term inside the parenthesis.

5w +60 = 5w +60

45 people in a certain company can work together to finish a project in 15 days. For a project of the same workload, the
company decided to use 15 people. Assume all people have the same level of productivity.
In how many days can this project be completed?
SELECT ONLY ONE
5 days
10 days
22.5 days
45 days

Answers

Given:

45 people will accomplish the given task in 15 days.

To find:

Days taken by 15 people to complete the same task.

Solution:

Since, 45 people of a company can finish a work in 15 days

Therefore, 1 person can accomplish the task in days = [tex]15\times45[/tex]

                                                                                        = [tex]675[/tex] days

15 people will accomplish the same task in number of days = [tex]\frac{675}{15}[/tex]

                                                                                                    = [tex]45[/tex]

Therefore, number of days taken by 15 people to accomplish the same task will be 45 days.

Learn more about the inverse relation,

https://brainly.com/question/9286901

PLSSSS HELP ME ALOT OF CREDITS AND BRAINLIST IF YOU HELP ME!!!!!

Answers

G. A. B. O

By probability in the chart, it goes from most to least that is grapes, apples, bananas and oranges

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

The wright answer is 16.33 inches

What is the probability of choosing a king of hearts or a queen of spades from a deck of cards? Type your answer as a fraction.

Answers

Answer:

Step-by-step explanation:

1 /13

Answer:

1/13???

Step-by-step explanation:

Will give 100 points and Brainliest!
Take a factor out of the sqaure root: √3y^2, where y<0

Answers

Answer:

The solution in the photo aobve I think that is true

Step-by-step explanation:

I hope that is useful for you :)

what is the product of 4/5 and 6/7

Answers

I believe your answers gonna be 9/14

What is the area of this figure? 30yd 5yd 18yd 18yd 13yd 12yd

Answers

Answer:

50544

Step-by-step explanation:

18x18x13x12=50544

o study student engagement, a university surveys 1,390 college freshman and determines that 470 of them participate in a recreational sport. The university would like to estimate the proportion of all college freshman that participate in a recreational sport at a 95% confidence interval. What is the upper bound of the confidence interval built by the university

Answers

Answer:

46

Step-by-step explanation:

Which prism has the largest surface area?

Answers

Answer: a

Step-by-step explanation:

a
hope this helps :)
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