The ratio of the base to the height of a triangle is 5:3. The area of the triangle is 120cm. How long is the base?

Answers

Answer 1

Answer:

20 cm

Step-by-step explanation:

5n × 3n = 2×120

15n²=240

n²=240/15 =16

n=√16 = 4

base = 5× 4 = 20

Answer 2

line one b=h*5/3

line two b*h/2=120

let's substitute b in line two with the righthand side of line one

(h*5/3)*h/2=120

h²*5/6=120

h²=(120/5)*6

h²=144

h=12

(the negative solution of the root is ignored, bc h is some distance. distances are never negative)

let's plus 12 into line two, in the place of h. this will give us b

b*12/2=120

b*6=120

b=20

h=12 and b=20 are in the right ratio (note that both are multiples of 4, 12=4*3 and 20=4*5)

and 12*20/2 = 120

everything works out just nicely


Related Questions

Click on the image above^

Answers

Answer:

x = [tex]\sqrt{34}[/tex] or 5.83

Step-by-step explanation:

A² + B² = C²

3² + 5² = x²

9 + 25 = x²

34 = x²

[tex]\sqrt{34}[/tex] = x

or

5.83 = x

Hope this helps!

5.83 is the answer to x

HELP ME PLEASE SOMEBODY SAVE ME

Answers

Answer:

ok

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Hey. Good Afternoon.
I need help with this problem please.

Answers

Answer: The slope is 1

Step-by-step explanation:

(0, 2.7) - x1, y1

(1, 3.7) - x2, y2

3.7 - 2.7 = 1

1 - 0= 1

1/1 = 1

The slope for this problem is 1

Which of the following is the sale price for an item with an original price of $45 after applying a discount of 35%?

Answers

$29.25
Just multiply 45 by 0.35 and that will lead to the amount taken off the original price.
Just doing this for points soz

For cylinders with radius 2 units, let h represent the height of the cylinder, in units, and the V represent the volume of the cylinder, in cubic units.

a. Complete the table relating the height and volume of cylinders with radius 2 inches.

Type each volume as a multiple of π, or round to the nearest cubic inch.

Answers

3pi x 4pi they make 16pi

Answer:

its 16pi

Step-by-step explanation:

Questions on file. Pls halp

Answers

[tex] \large{ \tt{❋ \: EXPLANATION}} : [/tex]

The formula to find out the volume of a rectangular prism is V = l × b × h where V is the volume , l = length , b = breadth & h = height.

We're provided the figure of trapezium in the second attachment. The formula to fInd out the area of trapezium is A = [tex] \tt{ \frac{1}{2} h(a + b)}[/tex] where a and b are the opposite parallel sides and h be the height of a trapezium.

[tex] \large{ \tt{❃ \: SOLUTION}} : [/tex]

In the first picture , we're provided - Length ( l ) = [tex] \frac{7}{4} [/tex] cm , breadth ( b ) = [tex] \frac{3}{2} [/tex] cm and height ( h ) = [tex] \frac{1}{2} [/tex] cm. Now, plug these known values and them find out the volume of given rectangular prism.

[tex] \large{ \tt{❁ \: VOLUME \: OF \: RECTANGULAR \: PRISM \: ( \: V \: ) = l \times b \times h}}[/tex]

[tex] \large{ {⟶ \: \frac{7}{4} \times \frac{3}{2} \times \frac{1}{2} }}[/tex]

To multiply one fraction by another , multiply the numerators for the numerator and multiply the denominator for its denominator and reduce the fraction obtained after multiplication into lowest term if possible.

[tex] \large{ ⟶ \frac{7 \times 3 \times 1}{4 \times 2 \times 2} }[/tex]

[tex] \large{⟶ \frac{21}{16} \tt{ {cm}^{3} }}[/tex]

Hence , the volume is [tex] \boxed{ \frac{21}{16} }[/tex] cubic centimetres.

--------------------------------

In the second attachment , we're provided - 6ft and 7 ft are the opposite parallel sides and 3 ft is the height of the given trapezium.

[tex] \large{ \tt{✺ \: AREA \: OF \: A \: TRAPEZIUM = \frac{1}{2} h(a + b)}}[/tex]

[tex] \large{ ⟶ \frac{1}{2} \times 3(6 + 7)}[/tex]

[tex] \large{⟶ \: \frac{1}{2} \times 3 \times 13 }[/tex]

[tex] \large{⟶ \frac{39}{2} \tt{cm}^{2} }[/tex]

Hence , The area of trapezium is [tex] \boxed{ \frac{39}{2} \tt{cm}^{2} }[/tex]

And we're done ! ♪

[tex] \large{ \# \: \mathfrak{StayInAndExplore \:☂ }}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

1)

V = l * w * h

7/4 * 3/2 * 1/2 = 21/16 cm^3

2)

A = a+b ÷ 2 * h

6 + 4 = 10 ÷ 2 = 5

5 * 3 = 15 ft^2

help i'll mark brainliest thank you

Answers

Answer:

Q1: B

Q2: D

Q3: B

Q3: C

explanation:

Answer:

Q1 : D = 4.5

Q2: A and C = 22/7 and 3. 14

Q3: C = 36

Q4: B = 28.5

Step-by-step explanation:

plz mark brainliest :)

Answer questions #13 & 14. Number 13: What is the system shown? Number 14: Type the correct answer in the box. THE IMAGE BELOW SHOWS BOTH QUESTIONS.

Answers

Answer:

124

Step-by-step explanation:

248)

The answer is definitely 124

PLEASE PLEASE PLEASE HELP


Describe, in great detail, how you would graph a line that is in slope-intercept form.


Use y=-3x+ 5 as your example.

Answers

Your rise over run will be -3 over 1 your going to start at the point 5 on the y-axis when your at the point 5 go down 3 then over to the right 1 keep going till it off the graph. Now do the opposite way and go up 3 from 5 and to the left 1 and keep doing that till it’s off the graph.

Hope this helps
The formula for slope-intercept form is y = mx + b. Y is the y coordinate, m is the slope, x is the x coordinate, and b is the y intercept. In this example, we have y = -3x + 5. We have the slope and the y intercept. Firstly, we need to plot the y intercept. The y intercept in this example is 5. Therefore, we can have a point at 0, 5. Next, we have the slope. -3 is our slope, which is -3/1. Slope is rise/run. This means that you will need to go down 3 from 0, 5 and to the right by 1. This process can continue for a few more points, and then you can draw your line. Keep in mind, you can also go the other way. For instance, you can go up 3 and left 1.

how do i solve this ik the answer is 10 though

Answers

Answer:

51 sus

Step-by-step explanation:

thats easy

i dont have explination bu hopeithelps

Yes u are correct good job

the drama club spent $8.50 per person on food for cast party. the total cost of the food was $229.50. how many people were at the cast party

Answers

Answer:

27 people

Explanation:

If the drama club spent $8.50 per person on food, and if the total cost of food was $229.50. How many people were at the cast party?

To find how many people are there, we need to divide $229.50 to $8.50.

$229.50 ÷ $8.50 = 27

Thus there are 27 people at the party.

Answer:

27 people

Step-by-step explanation:

229.50/8.50=27

What is the value of x in the figure?
(4x + 2)° 150°
A. 37
B. 60
C. 160
D. 237

Answers

Answer:

A.

[tex](4x + 2) \degree = 150\degree \\ 4x = 148 \\ x = 37[/tex]

The answer is A. (4x+2) 150 = 37

What are the vertices of the resulting image A’B’C’D’E after rotating the figure 90 degrees about the origin?

Answers

Answer:

45

Step-by-step explanation:

45 :))) hope that helps

A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers, with the same combination of sixth- and seventh-grade students in each group. She wants to form as many groups as possible. What is the largest number of groups that could be formed?

Answers

Answer:

The music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.

Step-by-step explanation:

The person that answered is correct

answer asap please and thank you look at the image

Answers

Answer:

4x=36

Step-by-step explanation:

4x=36

x=36/4

x=9

Other equation

36/4=x

for example:

6x=36
36/6=6

you could also use any of the following:

1x=36
36/1=36

2x=36
36/2=18

3x=36
36/3=12

4x=36
36/4=9

etc.

solve for n 18 = 9 n

Answers

Answer:

18 = 9 n

divide 9 on both sides to get

2=n

so 9(2)=18

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

n=2

Step-by-step explanation:

Topic: 6th Grade Statistics/Probability
PLEASE EXPLAIN OR I WILL GIVE A ONE STAR RATING!

Answers

Answer:

so if we add all the frequency's together we get 24+10+8+3+30+15=90

90 divided by 6 is 15 so the answer is D

The answer is c or d

DUE JUNE 30TH!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: a) Surface Area : 488 [tex]cm^{2}[/tex]

Volume : 672 [tex]cm^{3}[/tex]

b) Surface Area

c) Volume

Step-by-step explanation:

The object given is a cuboid. A cuboid has 6 sides.

To calculate the surface area and volume, we need the dimensions of the cuboid which are the length(l), breadth(b), and height(h).

According to the image given, l = 14 cm, b = 8 cm, and h = 6 cm.

a) Surface Area:

The formula for the surface area of a cuboid is  = 2*((l*b)+(l*h)+(b*h))

Therefore, the surface area = 2*((14*8)+(14*6)+(8*6)) = 488 [tex]cm^{2}[/tex]

The area is always denoted as [tex]cm^{2}[/tex]

Volume:

The formula for volume of a cuboid is  = l*b*h

Therefore, the volume = 14*8*6 = 672 [tex]cm^{3}[/tex]

The area is always denoted as [tex]cm^{3}[/tex]

b) Plating is done to usually protect the surface area of an Object. Therefore the answer is Surface Area.

c) If the brick is made of concrete, it means that the whole space occupied by the brick consists of concrete. Therefore volume is the right option.

To learn more about surface area and volume:

https://brainly.com/question/13789496

Answer:

1. Volume: 672cm

   SA: 488cm

2. SA
3. Volume

Please give brainly!

How many terms are in each factor of the expression 9(7 + 2x)?

Answers

Answer:

2 terms i believe if i am wrong i apologize

Step-by-step explanation:

.

It’s two terms but I might be wrong

The Westhafen tower in Germany is in the shape of a cylinder. It has a height of 109 meters and a diameter of 38 meters. What is the volume of the building? Express your answer in terms of π.

Answers

Answer:

123619 m^3

Step-by-step explanation:

V=π(d /2)2h=π·(38 /2)2·109 ≈ 1.23619×105m³

Not sure this is right

123619 m^3




Not sure if it’s right




Please help me! Will give Brainliest!!

Answers

Answer:

18 units

Step-by-step explanation:

Answer:

18 units that is the answer. :)

Collin needs to fix his broken air conditioner unit. He decides to call some mechanics to see what it might cost to get the unit repaired. Let’s x represent the number of hours and let y represent the total cost.
Company A: y = 25x + 20
company B: y = 20 + 45
it will take ____________ hours for the cost to be the same for both companies

Answers

5 hours if there was supposed to be an x after 20 on the second equation

It will take 5 hours for the cost to be the same for both companies.

What is an equation?

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Collin needs to repair his malfunctioning air conditioner.

He makes the decision to phone a few technicians to find out how much it would cost to fix the device.

Let x stand for the number of hours and y for the overall expense.

Company A: y = 25x + 20

company B: y = 20x + 45

To find the number of hours it will take for the cost to be the same for both companies, we need to solve the equation:

25x + 20 = 20x + 45

Simplifying the equation, we get:

5x = 25

x = 5

Therefore, x = 5

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ3

The complete question:

Collin needs to fix his broken air conditioner unit. He decides to call some mechanics to see what it might cost to get the unit repaired. Let’s x represent the number of hours and let y represent the total cost.

Company A: y = 25x + 20

company B: y = 20x + 45

it will take ____________ hours for the cost to be the same for both companies

in a group of 100 students, 68 like oranges 60 like apple and 20 don't like any above the fruit by using venn diagram write the number of students who only like oranges

Answers

Answer:

I am not sure if the question you have wrote is correct however I shall still answer the question. The answer is in the question there are 68 students who like oranges. This is an example of a venn diagram.

Hope It Helps!

68% of the students only like oranges.

Use the Converse of the Pythagorean Theorem to determine if the lengths represent the sides of a right triangle.

1, 7, 24, 25
2. 5, 12, 16
3. 6, 8, 10
4. 3, 5, 9

Answers

It’s option 3. Just search up Pythagorean triples and it will show them.

Is this a polygon?????

Answers

Answer:

Yes. A hexagon is a polygon

Step-by-step explanation:

Answer: yes it should be

Step-by-step explanation:

BRAINLIEST FOR THIS STUFF

Answers

answer and steps in picture
I don’t understand this

help i-Ready math. No links and no guesses

Answers

Answer:

648

Step-by-step explanation:

648 cubic centimeters

if m=4 n=-3, solve:
m^-n+3m^2*n-52

Answers

Answer:

(4^−3)+3(4^2)(−3)−52

 -64 + 48 (-3 -52)

-64 + (48 x -55)

-64 - 2640

-2704

I'm not sure if that's the right equation, I hope I captured it correctly from your question.

Step-by-step explanation:

Sorry if i’m wrong

The Answer ⤵️

Find the median of the set of data. Use a calculator if necessary. (Remember to put the list in numerical order.)

15, 9, 11, 7, 5, 11, 26, 6

Median is _____.

8
7
10
6

Answers

Answer:

10 should be the correct answer

Step-by-step explanation:

Answer:

Just order the values from smallest to biggest and start eliminating the biggest value and the smallest value until you get to the center.

What is the perimeter of this?
please please I need help!!

Answers

Answer:

97 ft

Step-by-step explanation:

perimeter would be to add both 25 feet sides and add it to the circumference of the circle

C = 15π which is approximately 47

Total perimeter = 2(25) + 47 = 97

The answer above me is correct!!
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