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

Jerneii writes the set of ordered pairs below. The set represents a function.
{(3,-3), (5,0), (-1, 4), (-6, 7)}
Jerneii claims that she can add any point to the set and have the set still represent a function.
Which of the following points can be used to show that Jerneii's claim is incorrect?
O(-6, 1)
O (9,8)
O (0,5)
O (1,7)

Answers

Answer:

WOMP WOMP WOMP!!!

Step-by-step explanation:

true or false- according to the box plot, 75% of the days the fitness club had over 65 people in attendance


A. true
B. false



PLEASE ANSWER ! I WILL GIVE YOU BRAINLIEST!!

Answers

Answer:

true

Step-by-step explanation:

Please help!!
How much diagonals are in a 102-gon?

Answers

Please find the attached photograph for your answer.

5049 is the answer.

De acuerdo con el ciclo práctico o ciclo real de funcionamiento de un motor, las válvulas de admisión y escape no se abren y cierran exactamente en los puntos muertos superior e inferior. Debido a esto se genera un instante donde están abiertas las válvula de admisión y de escape al mismo tiempo, a lo que se le conoce como traslape o cruce valvular - ¿Cómo se determina el traslape?

Answers

Answer:

no one here speaks spanish-

Step-by-step explanation:

HELPPP PLEASE ITS DUE TODAY!!!

Does the set of points represent a function? Explain.

Answers

Answer:

NO

Step-by-step explanation:

Recall: for a relation or a set of points to be a function, every x-value or input must have exactly one y-value or output.

From the given set of points, the x-value (inputs), -2, has two y-values (inputs), 1 and 3.

Therefore, the set of points does not represent a function.

Joseph and Sanjay are trying to finish their math homework before their favorite TV show starts. Joseph finishes 2/3 of his problems. Sanjay finishes 5 out of 7 of his problems. Who finishes a greater fraction of his problems in time?

Joseph or Sanjay?

Answers

The correct answer is Sanjay! :)

Explanation:
Joseph: 2/3
Sanjay: 5/7
2/3 and 5/7
14/21 and 15/21
Therefore, Sanjay is the answer.

What is the area in square feet of the ceilling​

Answers

That would be a 120 Square Feet.

Use the length of one side of the ceiling, which is 12, and then use the other side that is 10. The ten feet comes from the floor. think of it in 2-Dimensional

Solve for x. hint:half circle.

Answers

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

Given

The attached circle

Required

Find the measure of x

From the attached image:

[tex]11x + 2[/tex] and [tex]-2 + 7x[/tex] form a semi-circle

So:

[tex]11x + 2 -2 + 7x = 180[/tex]

Collect like terms

[tex]11x + 7x = 180+ 2 -2[/tex]

[tex]18x = 180[/tex]

Solve for x

[tex]x = \frac{180}{18}[/tex]

[tex]x = 10[/tex]

What is the measure of arc BC?

Answers

Answer: 88

Step-by-step explanation:

A group of 15 people were surveyed about the month they were
born. How many of the students were born in March?
.
3/5 born in September
1/3 born in December

Answers

Find the common denominator first
3/5 is 9/15
1/3 is 5/15
This gives us 14/15 so 1/15 we’re born in March. Only 1 person.
1 person was born in march

A pair of adjacent angles are SUR and _____. They are adjacent because they ______.

Answers

Answer/Step-by-step explanation:

Adjacent angles share a common side and also have the same vertex.

One of the angles that are adjacent to <SUR is <NUR.

Therefore:

A pair of adjacent angles area <SUR and <NUR.

They are adjacent because they have the same vertex and share the same side.

A DVD player costs a store $185 to purchase from the manufacturer. They mark the price of the DVD player up by 20% for profit. How much do they charge for the DVD player?

Answers

Answer:

$222

Step-by-step explanation:

$185 x 1.2 = $222

Answer:

222

Step-by-step explanation:

Hi! So marking up means to raise the price or increase it.

185 is the whole, a whole is 100

and we need to raise it by 20% so add these two together to get 120%, turn this into a decimal  is 1.2, now to find and increase we multiply it by the original price.

1.2 x 185 = 222

Very sorry if it is wrong.

In an examination, 200 students out of 500, obtained first division. What percentage of student got first division

Answers

Answer: 40%

Step-by-step explanation:

200 out of 500

200/500 or 2/5

1/5 is the same as 20%

Times by 2 you get 40%

2/5 = 40%

Your friend has x blueberries. You have 19 blueberries. You and your friend have a total of 48 blueberries. Which equation can you use to find x?

Answers

Answer:

48-19=x

Step-by-step explanation:

if you subtract those you get 29

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,

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When 1 is added to one-half of number x, the result is 3. What is the value of x?
A) 1
B) 3
C) 4
D) 6
E) 8
And why?

Answers

Answer:

C) 4

Step-by-step explanation:

1 + x/2 = 3

x/2 = 2

x = 4

The value of x is 4.

Start with 4. Half of 4 is 2. Add 1. You get 3. 4 makes the problem work, so 4 is the answer.

Answer: C) 4

Allison designs fancy boxes to fill with chocolates. The boxes are in the shape of a right square pyramid as shown, where 8y represents the
length of one side of the base of the pyramid, and 5y represents the height of one triangular face of the pyramid.
8y
The large size box must be designed to have a volume of 1,000 cubic centimeters,
Create an equation that can be used to calculate the length of the base and height of the triangular face of the box. Enter your equation in
the first response box.

Answers

The requreid equation that can be used to calculate the length of the base and height of the triangular face of the box is:

8y ≈ 8.4 cm

5y ≈ 5.8 cm

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The formula for the volume of a square pyramid is:

V = (1/3) * base area * height

In this case, the base of the pyramid is a square with a side length of 8y, so the base area is:

base area = (8y)² = 64y²

The height of each triangular face is given as 5y, so the total height of the pyramid is 2 * 5y = 10y.

Substituting these values into the formula for volume, we get:

1000 = (1/3) * 64y² * 10y

y ≈ 1.16

Therefore, the length of the base of the pyramid is:

8y ≈ 8.4

And the height of each triangular face is:

5y ≈ 5.8 cm

So the equation that can be used to calculate the length of the base and height of the triangular face of the box is:

8y ≈ 8.4 cm

5y ≈ 5.8 cm

Learn more about Volume here:
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Help Pls
Its a math question, see attachments

Answers

Answer:

1) A) 25%

2) B) 16%

3) A) 93%

Step-by-step explanation:

1)

0.25 = 25%

2)

More than 3 means, 4 and 5

0.12 + 0.04 = 0.16 = 16%

3)

x ≥ 1

So that means 1+ days (everything except 0)

0.25 + 0.18 + 0.34 + 0.12 + 0.04

0.93 = 93%

what is the ratio of 3 cans of blue paint to 9 cans
of yellow paint

Answers

Answer:

1 to 3

Step-by-step explanation:

3 blue: 9 yellow

Divide each side by 3

3/3 : 9/3

1 blue: 3 yellow

1 to 3

The area of the triangle below is 25/72 square meters. What is the length of the base?

Answers

Answer:5/6

Step-by-step explanation:

Pls help ill give brainliest

Answers

it is located in quadrant 2, as it is originally in the third quadrant and is flipped over the x axis.

I need help with this I will mark you if you get it right

Answers

Answer:

I thinks its D have a nice day

Step-by-step explanation:

I pretty sure it’s D :)

Find the value of x to the nearest degree.
A. 58
B. 52
C. 38
D. 32

Answers

Answer:

52⁰

Step-by-step explanation:

Cos x⁰ = adjacent/hypotenus

Cos x⁰ = 8/13

Cos x⁰ = 0.615

x⁰ = cos^-1 (0.615)

x⁰ = 52⁰

What is the original price of a pair of shoes if there is a 5% discount and the sale price is $47.03?

Answers

Answer:

$49.51

Step-by-step explanation:

100-5(the discount) =95%equate 95%=47.03 what about 100%(100%×47.03)÷95$49.51 ans

The original price of the shoes is  $49.50.

What is the discount?

The pricing scheme in which the cost of a thing (or service) is less than its marked price listed price is referred to as a "discount." Simply put, a discount represents a percentage off the advertised price. In consumer interactions, a discount is a type of product price reduction where customers have suggested a percentage of rebates on various goods to increase sales.

Given discount = 5%

sale price  = $47.03

to find original price

discount is given by

Discount (percentage) = (List Price - Selling Price)/ List Price x 100

5% = 1 - SP/LP

SP/LP = 1 - 5%

47.03/LP = 1 - 5/100

LP = (47.03 x 100)/95

LP = $49.50

Hence the original price of the shoes is $49.50.

Learn more about discount;

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Calculate the standard deviation of X for the probability distribution. (Round your answer to two decimal places.)
x 0 1 2 3
P(X = x) 0.1 0.5 0.1 0.3

Answers

Answer:

The standard deviation of the probability distribution is 1.02.

Step-by-step explanation:

Standard deviation of the distribution:

Square root of the sum of the difference squared between each value and the mean multiplied by its probability.

Mean:

Each value multiplied by its probability. So

[tex]E(X) = 0*0.1 +1*0.5 + 2*0.1 + 3*0.3 = 1.6[/tex]

Standard deviation:

[tex]\sqrt{V(X)} = \sqrt{0.1*(0-1.6)^2 + 0.5*(1-1.6)^2 + 0.1*(2-1.6)^2 + 0.3*(3-1.6)^2} = 1.02[/tex]

The standard deviation of the probability distribution is 1.02.

Daniel buys a DVD at an electronics store. The DVD costs $24.35. Daniel hands the cashier two $20 bills. How much change did Daniel get?

Answers

Answer:

$15.65

Step-by-step explanation:

$20 + $20 = $40

$40 - $24.35 = $15.65

$15.25 is the answer I think

which equation of c makes this equation true. 12-9+c =12 Pls only direct answers

Answers

Answer:

c or 9

Step-by-step explanation:

Answer:

C: 9

Step-by-step explanation:

An expression is shown.

14a + 7 + 5b + 2a + 10b

What are the coefficient(s) of the expression?

Group of answer choices

14, 7, 5, 2, 10

14a, 5b, 2a, 10b

14, 5, 2, 10

a, b

7

Answers

Answer:

C

Step-by-step explanation:

:)

the volume of the cereal box is 192 and the volume of the shipping box is 51,840. how many cereal boxes can fit in the shipping box?​

Answers

Answer:

270

Step-by-step explanation:

51840/192= 270

Answer:270 i think

hope thatm helps

EVERYONE HELP SOS SOS I NEED YOUR HELP THIS IS AN EMERGENCY SOS
SOS
SOS

How is X - 5 mathematically different from x > 5?

INCLUDE A REAL LIFE EXAMPLE IN YOUR RESPONSE AND YOU WILL RECEIVE A BONUS POINT AND MARKED BRAINLYEST ​​

Answers

Answer:

The result is different

Step-by-step explanation:

Hope this helps

X equals 5 in the first and x is greater than 5 in the second. This can translate to life by saying you need 5 points to get an 100 or u need to get more than 5 goals to win the game
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