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

Four glasses of milk and 3 snack bars have a total of 96 carbohydrates (carbs), and 2 glasses of milk and 4 snack bars have
many carbs are in one glass of milk and in one snack bar,
total of 78 carbs. Determine how many carbs are in one glass of milk

Answers

Answer:

Each snack bar contains 12 carbs and each milk contains 15 carbs.

Step-by-step explanation:

Let M be the carbs in milk and S the carbs in a snack bar.

We are told:

4M + 3S = 96, and

2M + 4S = 78

===

We can eliminate one of the variables and then solve for the other.  Let's multiply the second equation by -2 and then add it to the first.  This will eliminate the M:

4M + 3S = 96

-4M - 8S = -156

-5S = - 60

S = 12

Each snack bar has 12 carbs.  Use either equation to find M.  I'll  use the second:

====

2M + 4S = 78

2M + 4*(12) = 78

2M + 48 = 78

2M = 30

M = 15

Each milk contains 15 carbs

help help help help Please ​

Answers

Answer:

It rises -4 and runs 6

Step-by-step explanation:

So the slope is -4/6

help me
[tex] \: [/tex]

A C E isoscles ACAR is inscribed in o E If mCR = 1300 Find:
11.m CAR
12. mACR
13. mARC
14. mAC
15. mAR

[tex] \: [/tex]

marking brainlist
with explanation
I will report nonsense answer
need properly answer


[tex] \: [/tex]

Answers

Answer:

#11m∠CAR = (1/2)mCR = (1/2)(130°) = 65°#12 and #13m∠ACR = m∠ARC = 1/2(180° - 65°) = (1/2)(115°) = 57.5° #14 and #15mAC = mAR = 2(m∠ACR) = 2(57.5°) = 115°

Which of the following statements justifies why the triangle shown below is not a right triangle?
Z
O A. 42 +122132
OB. YZ + XZ > XY
OC. XZ O D. YZ SUBMIT
please help

Answers

None of the options are correct. And the given triangle is a right-angle triangle.

Given that,
Which of the following statements justifies why the triangle shown below is not a right triangle is to be determined.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
A triangle that follows the Pythagoras theorem, are right an angles triangle,
For the given triangle,?
13² = 4² + 12²
169 = 25 + 144
169 = 169
So, the given triangle holds the property of Pythagoras' theorem,

Thus, None of the options are correct. And the given triangle is a right-angle triangle.

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15) Which of these is equivalent to -5pie rad ?
A) -1800°
B) -900°
C) -72°
D) -36°

Answers

Answer:

-900

Step-by-step explanation:

(-5,1) and (-5,4) what is the slope of the line that passes through the given points

Answers

Answer:

Undefined

Step-by-step explanation:

I always like to take a good look at the points before I go about solving for the line. To me, it looks like this is going to be a vertical line. Why do I think that? Well, for each point, the x-value is -5. Since this is a linear function, every other point must also have an x-value of -5. So, our line would be straight up and down, going through the x-intercept (-5, 0). Let's try out this theory by subtracting our y-values and then our x-values, then dividing:

[tex]\frac{4-1}{-5-(-5)} =\frac{3}{-5+5} =\frac{3}{0}[/tex]

And that makes sense! Functions that show up as vertical lines are undefined, since their slopes always have 0 as a denominator, and anything divided by 0 turns out to be undefined. So, that's our answer - the slope is undefined.

Hopefully that's helpful! :)

Answer:

undefined

Step-by-step explanation:

(-5, 1) and (-5, 4) lie on the same vertical line.

A vertical line has undefined slope.

Will give brainly crown
Jared’s average daily balance for last month was $560. The finance charge was $8.12.

a. What was the monthly percentage rate?
b. What was the APR?

Answers

Answer:

A) monthly percentage rate = 1.45%

B) APR = 17.4%

The monthly percentage rate was 1.45 % and the annual percentage rate was 17.4%.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Jared’s average daily balance for last month was $560. The finance charge was $8.12.

We have to determine the monthly percentage rate.

The monthly percentage rate is the percentage ratio of the finance charge to the average daily balance.

The monthly percentage rate = finance charge / average daily balance

The monthly percentage rate = $8.12 / $560 × 100

The monthly percentage rate = 0.0145 × 100

The monthly percentage rate = 1.45 %

The Annual percentage rate = 12 × monthly percentage rate

The Annual percentage rate = 12 × 1.45 %

The Annual percentage rate = 17.4 %

Therefore, the monthly percentage rate was 1.45 % and the annual percentage rate was 17.4%.

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find the dimensions of the right circular cylinder of maximum volume that can be inscribed in a sphere of radius a

Answers

Answer:

d.

took the test

Step-by-step explanation

Divide 31.50 / 2.50 step by step. Write is out on paper if you can. :D

Answers

Answer:

12.6 you divide 31.50 by 2.50 pretend the decimal signs aren't there.

Answer using seconds please!!!

Using my faucet, it takes 6 minutes to fill our water tank.

Using the neighbour’s hose, it takes 9 minutes.

How long would it take if I used both the faucet and the hose?

Answers

Answer:

900 seconds I believe

Step-by-step explanation:

60*6= 360

9*60=540

540+360=900


Select the true statement about triangle ABC.

O A. sin A = cos B
O B. sin A = tan c
C. sin A= sin C
OD. sin A = cos C

Answers

Answer:

A=cos C

Step-by-step explanation:

mass–energy equivalence formulpa E

what is the greatest number of relative maximum that a polynomial of degree 15 can have? Select the right answer among them 1. 14 2. 6 3. 9 4. 7 5. 4

Answers

Answer:

7

Step-by-step explanation:

The greatest number of relative maxima it can have is 14.

So, the correct answer would be option (1) 14.

Use the concept of a polynomial defined as:

An expression that consists of exponents, variables, and constants and that is combining many different mathematical procedures:

Addition, subtraction, and multiplication is referred to as polynomial.

Given that,

The degree of polynomial  = 15

The objective of this question determine the number of relative maxima it can have.

The number of relative maxima that a polynomial can have is equal to its degree minus 1.

In this case:

The polynomial is of degree = 15,

Hence,

The greatest number of relative maxima it can have is 15 - 1 = 14.

So, the correct answer would be option (1) 14.

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Find the ending balance if $500 was deposited at 5% annual interest compounded quarterly for 3 years.

Answers

Answer:

$575 ,

Step-by-step explanation:

5% of $500 is only $25

multiply that by 3YRS due to annual interest it would amount too

an addition $75 dollars so the answer is $575

Help I’ll give brainylist in return thank you

Answers

Answer:

They are similar by AA

Step-by-step explanation:

Angle B and C are similar as well as angle ABE and DCE are similar

Find the value of x-5 when x= 15

Answers

Answer:

15 - 5 = 10 wow that was so hard

Answer:

the awnser is 10

Step-by-step explanation:

x=15 so

15-5=10

x=2y=-1
-5x-9y=2
elimation

Answers

Answer:

Step-by-step explanation:

We know x=2y=-1

So -5x-9y=2

<=> -5(1) +(-4)(1) - (y) =2

<=> -9- (y)=2

<=> y=-9-2

<=> y=-11

P/s: -9y= -8y-y = -4x-y = (-4)(1)-y

ok, i'm done. Thank to me :>

 WILLL GIVE 100 points
Use the Polygon tool to draw an image of the given polygon under a dilation with a scale factor of 1/3 and center of dilation at (0, 0) .

The points of the polygon =(3,3) (0,3) (6,-6) (9,6)

Image attached of the polygon

Answers

Answer:

The image of the dilated polygon is attached below

Transformation is the movement of a point from the initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

Dilation is the increase or reduce in size of a figure by a factor k. If a point A(x, y) is dilated by a factor k about the origin, the new point is A'(kx, ky).

Let us assume that the polygon has vertices at A(0,0), B(3, 3) and C(-3, 3). If the polygon is dilated by a scale factor of 1/3 and center of dilation at ​(0, 0)​, the new vertices is at:

A'(0,0), B'(1, 1) and C'(-1, 1)

The graph of the polygon is attached.

Simplify the expression 8h + (-7.7d) -14 + 5d - 2.4h.

Answers

Answer:

8h - 7.7d - 14 + 5d - 2.4h

5.6h - 2.7d - 14

Answer:

8h+-7.7d-14+5d-2.4h

Combine -7.7d and 5d to get -2.7d.

8h-2.7d-14-2.4h

Combine 8h and -2.4h to get 5.6h.

5.6h-2.7d-14

Step-by-step explanation:

id k

-2r+11=13 2r=2 r= I need help

Answers

Answer:

-2r = 2 - Subtract 11 from both sides

r = -1

Five players are given $10 each and asked to contribute any portion of it to a group account. They are also told that the total collection will be doubled and distributed equally among each of them. In this case, the players are likely to contribute __________.

Answers

Answer:

nothing

Step-by-step explanation:

Help me please!
Mathematics

Answers

Answer:

x=12

Step-by-step explanation:

i'm assuming the numbers are the lengths of each segment. 8/24 = 1/3, so 4/x=1/3, cross multiply to get x=12

POSSIBLE POINTS: 11.76
Which two equations have infinitely many solutions?



A }(6x – 12) = 2(x - 2)
B { (4x + 8) = 2x + 8
C 3(2x - 7) = 6(x – 4) - 3
D 4(x + 6) = x + 3(x + 5) +9
E 5(x + 1) = 3x + 2(x + 1) + 4

Answers

Answer:

B and D.

Brainliest please. :)

which statement is correctly written as a conditional statement ​

Answers

Answer:

a shape has four sides,or it is a quadrilateral

( xy-1 )^ 2 - ( y-1 ) ^2
help pleaseeeeeeeeeeee

Answers

[tex](xy-1)^2-(y-1)^2\\\\=(xy - 1 - y+1)(xy-1+y-1)~~~~~~;[a^2-b^2 = (a-b)(a+b)]\\\\=(xy-y)(xy+y-2)\\\\=y(x-1)(xy+y-2)[/tex]

According to the Rational Root Theorem, the following are potential roots of f(x)=9x2−3x−2.1,
−1,23,19
Which is an actual root of f(x)?

Answers

Step-by-step explanation:

9x2 -3x -2 factors to (3x-2)(3x +1)

solve 3x-2 =0 and 3x+1=0

making the roots -1/3 and 2/3

Savannah is deciding between two parking garages. Garage A charges an initial fee of $9 to park plus $1.50 per hour. Garage B charges an initial fee of $4 to park plus $2.50 per hour. Let A A represent the amount Garage A would charge if Savannah parks for t t hours, and let B B represent the amount Garage B would charge if Savannah parks for t t hours. Graph each function and determine which garage would be cheaper if Savannah needs to park for 6 hours.

Answers

Answer:

A = 10 + 3t

B = 3  + 4t

if  t = 12 , then A = 10 + 3(12) = $46,  B = 3 + 4(12) = $51.

So Garage A is cheaper for 12 hours

Step-by-step explanation:

hope this helped!

Nicole is running for school president. Her best friend designed her campaign poster, which measured 3 feet by 2 feet. Nicole liked her poster so much, she reproduced the artwork on rectangular buttons that measured 2 inches by 1 1/3 inches. What is the scale factor?

Answers

Answer:

1 feet = 12 inches3 feet = 36 inchesLarger of buttons dimension is 2 inches

Step-by-step explanation:

the scale factor would be 1/18

alberto started out bench pressing 40 pounds, he then added 5 pounds every weeks

Answers

What’s the rest of the question?

2÷2563783939282727262626266262534434262788900

Answers

Answer:

128189196964136363133131267217131394450

Step-by-step explanation:

hope this is helpful

The cookie's diameter is 14 cm. How much is the radius?

Answers

Answer:

7

Step-by-step explanation:

The cookie's diameter is 14 cm. How much is the radius?

diameter = 2 * radius

radius = 1/2 diameter

14 : 2 = 7

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