What will be the height of the triangle, if its area is 105 m 2 and the base is 15 m?​

Answers

Answer 1

Answer:

14 m

Step-by-step explanation:

Given,

Area of the triangle

[tex] = {105m}^{2} [/tex]

Base of the triangle

= 15m

Let,

Height of the the triangle be h

Therefore,

By the problem,

[tex] = > \frac{1}{2} \times base \times height = 105[/tex]

(On putting values)

[tex] = > \frac{1}{2} \times 15 \times h = 105[/tex]

(On putting the known values on one side)

[tex] = > h = \frac{105 \times 2}{15} [/tex]

(On Simplification)

=> h = 7 × 2

(On multiplying)

=> h = 14m

Hence,

The req. height of the triangle is 14 m (Ans)

Answer 2

Answer:

The answer is 14 m.

Step-by-step explanation:

Area = [tex]105^{2}[/tex]

Base = 15 m.

Height = ?

The formula for finding the area of triangle is

[tex]A = \frac{h_{b}b}{2}[/tex]

Put the values in the formula

[tex]105 = \frac{h_{b}15 }{2}[/tex]

Use MPE or Multiplication Property of Equality

210 = 15[tex]h_{b}[/tex]

Now use DPE or Division Property of Equality

[tex]\frac{210}{15} = \frac{15_{hb} }{15}[/tex]

14 = [tex]h_{b}[/tex]

The height of the triangle is 14 m.

To check, multiply the height and base to get the area.

14 * 15 = 105 [tex]m^{2}[/tex]


Related Questions

PLEASE HELP I need the answer please ​

Answers

17. <

18.=

19.>

20.>

21.3.021,3.12,3.121,3.21

22. 1.03,1.03,1.3,1.39

23.

sorry here is the question!! please help and Thank you!!

Answers

Answer:

B.   4

Step-by-step explanation:

[tex] \dfrac{\sqrt{32}}{\sqrt{2}} = [/tex]

[tex] = \dfrac{\sqrt{16 \times 2}}{\sqrt{2}} [/tex]

[tex] = \dfrac{\sqrt{16} \times \sqrt{2}}{\sqrt{2}} [/tex]

[tex] = \dfrac{4\sqrt{2}}{\sqrt{2}} [/tex]

[tex] = 4[/tex]

solve for x
(4/9)^√x=(2/3)^39-√x

Answers

Answer:

169

Step-by-step explanation:

(4/9)^√x = (2/3)^39-√x

(2/3)^2√x = (2/3)^39-√x

Comparing the bases ,

2√x = 39-√x

3√x = 39

√x = 13

x = 169

URGENT!!!

Peggy sue decided to enter her famous “Five- Alarm chili” at her local chili cooking contest. Normally, she needs 5 tomatoes to make enough chili for her family of 7

A. How many tomatoes should she expect to use to make her famous recipe for 100 people?

b. When she gets to the contest, she realizes that she only packed 58 tomatoes. How many people can she expect to feed?

Answers

A. If she needs 5 tomatoes for a family of seven, then we need to find how many tomatoes it takes to feed only one person and then multiply that by 100z

5/7 = 0.714… tomatoes per person

Multiply this by one hundred

0.714 * 100 = 71.43 tomatoes.

Check:

5/7 = ?/100

Solve for ?

? = 71.43 tomatoes, but you technically can’t bring 0.43 tomatoes, so round that to 72 tomatoes

B. We would need to solve for

5/7 = 58/?

? = 81.2 people, but you should round down here because there isn’t enough chili for that 82 person, and there are not 20% of a person walking around looking for some chili.

I need this solved with the answer as an ordered pair

Answers

Answer:

look at the picture i have sent

-6x + 8y = 12 and -3x + 4y = 6

Answers

Answer:

y = (3/4)x + (3/2)

Step-by-step explanation:

all points on that line

(b) Given also that x> 1 and x is an integer.
Write down all the possible values of x.

Answers

Answer:

X can be any whole or natural number greater than 1 so like 2 could work too but no decimals or fractions or any other irrational numbers such as pi.

Step-by-step explanation:

Hope this works for you. :)

Answer:

Step-by-step explanation:

X greater than or equal to 2 for any positive integer

Create a shape with an area of 0.8 m2 and a perimeter close to 400 cm

Answers

The dimension of the shape is approximately 1.45 meters by 0.55 meters

Assume the shape is a rectangle, that has the following dimensions.

Length = x

Width = y

So, the area is:

Area = xy

The perimeter is

Perimeter = 2(x + y)

Substitute known values

[tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{2(x+y) = 400cm}[/tex]

Express cm as m

[tex]\mathbf{2(x+y) = 4m}[/tex]

Divide through by 2

[tex]\mathbf{x+y = 2m}[/tex]

Make x the subject (ignore the units)

[tex]\mathbf{x= 2 - y}[/tex]

Substitute 2-y for x in [tex]\mathbf{xy = 0.8m^2}[/tex]

[tex]\mathbf{(2-y)y = 0.8}[/tex]

Open brackets

[tex]\mathbf{2y-y^2 = 0.8}[/tex]

Rewrite as:

[tex]\mathbf{y^2 - 2y + 0.8 = 0}[/tex]

Using a calculator, we have:

[tex]\mathbf{y \approx (0.55,1.45)}[/tex]

Recall that:

[tex]\mathbf{x= 2 - y}[/tex]

So, we have:

[tex]\mathbf{x \approx (2-0.55,2-1.45)}[/tex]

[tex]\mathbf{x \approx (1.45,0.55)}[/tex]

Hence, the dimension of the shape is approximately 1.45 meters by 0.55 meters

Read more about areas and perimeters at:

https://brainly.com/question/11957651

Solve for x. Round to the nearest tenth, if necessary. S 210 X 5.5​

Answers

Answer:

1155.0

Step-by-step explanation:

-5x - 25= 78; her work is shown below identify the error and where it was made

Answers

[tex]-5x = 78 + 25 <=> -5x = 103 <=> x = -103/5[/tex]

clara has a positive acceleration for 5 minutes

Answers

Answer:

The answer is C.

Step-by-step explanation:

Q.no 21 solve it.
Plz. Plz

Answers

Answer:

Hamm i don't know sorry a want yo help You Buy a can't because a don't know sorry

PLEASE HELP WILL MARK BRAINILEST

1. The formula for the volume of a rectangular box is V = lbh. What is the formula for h in terms of V, l and b?

2. Solve 7x + 3y = m, for y

3.The formula for the potential energy P = mgh. What is the formula for m in terms of P, g, and h?

Answers

Answer:

1. h = V/lb

2. y = (m - 7x)/3

3. m = P/gh

Mark of Ben in semester 1 examination is 586:600. Convert it into percentage

Answers

Answer:

97.67

Step-by-step explanation:

600 = 100%

586 = x%

[tex]\frac{100}{x} = \frac{600}{586}[/tex]

x = [tex]\frac{586.100}{600}[/tex] = [tex]\frac{586.100}{6.100}[/tex] = [tex]\frac{586}{6}[/tex] = 97.67

Please help me please

Answers

Step-by-step explanation:

m +2 = 4

m = 2

x = 1

y +1 = 2

y = 1

z = -1

In a Quiz points are rewarded for each correct answer while points are deducted for each incorrect answer. In the first round, Ethan answered all the questions correctly. In the second round, he answered 8 questions incorrectly. If 3 points are deducted for each incorrect answer, by how much does Ethan’s score change in the second round?

Answers

Answer:

24 points

Step-by-step explanation:

3x8 is 24

hey can someone help with my assignment worth 80% of my grades

Answers

Answer:

Honestly the intercept should be on the axis

Step-by-step explanation:

Answer:

You didn't helped me with my question so no

Step-by-step explanation:

the equation p=2l+20 gives the perimeter P (in inches) of a rectangular box with a length of l feet. Identify the independent and dependent variables.

Answers

Length is the independent variable while P is the dependent variable.

The dependent and independent variable

Independent variables are variables that can stand alone while dependent are depend on others.

Independent variables are input variables of a function whole independent are the output variables of a function.


Given the function as shown:

P = 2l + 20

length is the independent variable while P is the dependentw variable.

Learn more on independent and dependent variables here; https://brainly.com/question/25223322


Write a converse theorem that proves lines a and b below are parallel.
If _______ _______ angles are ________, then two lines vk it by a transversal are parallel.

Answers

Taking into account the definition of corresponding angles and Corresponding Angles Theorem, if the corresponding angles are congruent, then two lines cut it by a transversal are parallel.

First of all, remember that a transverse line is a line that crosses or passes through two other lines. Sometimes the other two lines are parallel and the transversal passes through both lines at the same angle. However, the other two lines do not have to be parallel for a transversal to cross them.

Corresponding angles

Corresponding angles are angles formed when a transverse line crosses two straight lines. These angles are formed at equivalent corners or at corners corresponding to the transversal when two lines are intersected by a third line.

In other words, if a transversal line intersects two parallel lines, the corresponding angles are those that are on the same side of the parallels and on the same side of the transversal.

Corresponding Angles Theorem

The Corresponding Angles Theorem states that if two parallel lines are cut by a transversal, then the corresponding pairs of angles are congruent.

Remember that if two angles are congruent, then they have the same measure.

The opposite of this theorem is also true:  If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

In summary

In summary, if the corresponding angles are congruent, then two lines cut it by a transversal are parallel.

Learn more about corresponding angles theorem:

https://brainly.com/question/12122049?referrer=searchResultshttps://brainly.com/question/18250950?referrer=searchResultshttps://brainly.com/question/12101094

What is an equation in point-slope form for the line that passes through the points (4,-1) and (-3,4)?
y-3= (x+4)
y–4= (x+3)
y+4= (x+3)
y+4= (x+3)​

Answers

Point-Slope Form: y + 1 = - 5/7 • ( x - 4 ). Slope intercept form: y = -5/7 + 13/7. The choices you have are incorrect

What is a unit rate?

What are the steps for
finding a unit rate?

Each 12-ounce bottle of
shampoo cost $2.15.
What is the cost
per ounce?

Answer all please

Answers

Answer:

1. Cost of a quantity of 1.

2. Divide the cost by quantity.

3. $0.18 per ounce

work: 2.15 / 12 = 0.1791666666666 and round

Look at the screen shot and answer the question. Please Explain !!

Answers

Answer:

see explanation

Step-by-step explanation:

- 4x + 3 < 23 ( subtract 3 from both sides )

- 4x < 20

x < - 5 ← Her error is on this step

When dividing by a negative quantity the symbol is reversed, that is

Divide both sides by - 4 and reversing the symbol gives

x > - 5

-5(2x -3) + 4x = - 3x + 6

Answers

We have -5(2x-3) + 4x = -3x + 6
<=> -10x + 15 + 4x = -3x + 6
<=> -10x + 4x + 3x = 6 - 15
<=> -3x = -9
<=> x = 3

Ok done. Thank to me:>

please help me answer this question​

Answers

1) The mathematical statements in Set A are linear equations (there's the equal to [=] symbol). The mathematical statements in Set B are linear inequalities (there are inequality signs like <, > etc).

2) Set A (=)

3) Set B (<, > etc.)

_______

Hope it helps ⚜ :))

Find the equation of the line perpendicular to the given line and passing through the given point.

y = -4x + 2;(-1,4)

Answers

Step-by-step explanation:

hope it helps you.......

Here is your answer refer to the attachment .

I really need help with this and happy thanksgiving

Answers

Answer:

C (-2,2)

D (1,-2)

Step-by-step explanation:

happy thanksgiving!

what skills are needed to learn derivatives in math ​

Answers

Answer:

smart

be smart

Please explain step-by-step! Thanks!


Random answers will be reported

Answers

Step-by-step explanation:

what is your questions?????
What do you want us to solve

2x-7=13
What is the answer for x ?

Answers

Answer:

The answer will be ( x = 10)

There are 30 coins in 5 rows.

How many coins in each row?

Answers

Answer:

It is 30 divide by 5

Step-by-step explanation:

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