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]


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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:

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Step-by-step explanation:

the scale factor would be 1/18

According to the Rational Root Theorem, the following are potential roots of f(x)=9x2−3x−2.1,
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Answers

Step-by-step explanation:

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

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Step-by-step explanation

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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 %

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

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Answers

Answer:

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Step-by-step explanation:

So the slope is -4/6

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.

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Step-by-step explanation:

hope this helped!

Answer using seconds please!!!

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

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Answers

Answer:

900 seconds I believe

Step-by-step explanation:

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540+360=900

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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:

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Hopefully that's helpful! :)

Answer:

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Step-by-step explanation:

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A vertical line has undefined slope.

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Answer:

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Step-by-step explanation:

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

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 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) .

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Image attached of the polygon

Answers

Answer:

The image of the dilated polygon is attached below

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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.

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Answers

Answer:

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

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

the awnser is 10

Step-by-step explanation:

x=15 so

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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 :>

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Answers

Answer:

$575 ,

Step-by-step explanation:

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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.

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

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Step-by-step explanation:

id k


Select the true statement about triangle ABC.

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Answers

Answer:

A=cos C

Step-by-step explanation:

mass–energy equivalence formulpa E

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

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[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]

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



A }(6x – 12) = 2(x - 2)
B { (4x + 8) = 2x + 8
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Answers

Answer:

B and D.

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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
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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

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Z
O A. 42 +122132
OB. YZ + XZ > XY
OC. XZ O D. YZ SUBMIT
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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.

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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
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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 ?
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Answers

Answer:

-900

Step-by-step explanation:

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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Answers

Answer:

-2r = 2 - Subtract 11 from both sides

r = -1

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Answer:

a shape has four sides,or it is a quadrilateral

Help I’ll give brainylist in return thank you

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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

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
[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°

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

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