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2 years ago

7

The height of a triangle is 4 m more than twice the length of the base. The area of the triangle is 35 m^2 . Find the height of

the triangle

1 answer:

disa [49]2 years ago

6 0

Answer:

Step-by-step explanation:

Let the Base of the △ be x

Then the Height will be 2 x + 4

Area of △ = 1 2 b h

Where, b = b a s e , h = h e i g h t , A r e a = 35

(in this case)

Substitute the values into the equation → 35 = 1 2 ( 2 x + 4 ) ( x ) → 35 = ( 2 x + 4 ) 2 ( x ) →

35 = ( x + 2 ) ( x ) → 35 = x 2 + 2 x

Subtract 35 both sides

→ 0 = x ^2 + 2 x − 35

Rewrite the equation in the Standard form

x ^2 + 2 x − 35 = 0

Factor the equation

→ ( x + 7 ) ( x − 5 ) = 0

So we have

x = − 7 , 5

numbers So x = 5

They have asked us to find the Height

So, ⇒ H e i g h t = 2 x + 4 = 2

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Santa and his elves had a workshop that allowed them to produce 22{,}912{,}546{,}99222,912,546,99222, comma, 912, comma, 546, co

zvonat [6]

Answer: 180 times

Step-by-step explanation:

Given the following :

Production capacity of old workshop :22,912,546,992 toys per year

Production capacity of new workshop:

4,134,232,638,937 toys

Approximately how many times as many toys can the new workshop produce each year compared to the old workshop?

Production capacity of new workshop / production capacity of old workshop

= 4,134,232,638,937 / 22,912,546,992

= 180.435

= 180 ( nearest whole number)

3 0

3 years ago

Help me please ;-;!!!!! Use a coordinate grid to create a map of a town with at least five different locations, such as a house,

Sholpan [36]

A. Our diagram have six location: my house (2,1), a movie theater (5,3), the school (6,6), the police station (3,-2), the airport (-3,3), and the mall (-2,-3)

B. Distance between my house and the movie theater:
To calculate the distance we are going to use the points (2,1) and (5,3) to create a right triangle with tow legs of measures 3 and 2; the hypotenuse of the right triangle will be the distance between my house and the movie theater.
Using the Pythagorean theorem:
$d^2=3^2+2^2$
$d^2=9+4$
$d^2=13$
$d= \sqrt{13}$
We can conclude that the distance between my house and the movie theater is $\sqrt{13}$

Our second distance is the distance between the police station and the airport:
This time we are using the points (3,-2) and (-3,3) to create a right triangle with legs of measures 6 and 5; the hypotenuse of our triangle will be the the distance between our points:
$d^2=6^2+5^2$
$d^2=36+25$
$d^2=61$
$d= \sqrt{61}$
We can conclude that the distance between the police station and the airport is $\sqrt{61}$

C. Distance form the park to the Fire Station:
$d^2=3^2+1^2$
$d^2=9+1$
$d^2=10$
$d= \sqrt{10}$
We can conclude that the distance from the park to the Fire Station is $\sqrt{10}$

Distance from the stadium to the mall:
$d^2=2^2+1^2$
$d^2=4+1$
$d^2=5$
$d= \sqrt{5}$
We can conclude that the distance from the stadium to the mall is $\sqrt{5}$

D. What is the distance between your house and the mall?
Answer:
$d^2=4^2+4^2$
$d^2=16+16$
$d^2=32$
$d= \sqrt{32}$
$d=4 \sqrt{2}$
We can conclude that the distance between my house and the mall is $4 \sqrt{2}$

What is the distance between the movie theater and the school?
answer:
$d^2=3^2+1^2$
$d^2=9+1$
$d^2=10$
$d= \sqrt{10}$
We can conclude that the distance between the movie theater and the school is $\sqrt{10}$

7 0

2 years ago

Use the drop down menu to select what each number indicates about the data points.

mina [271]

Answer: median:3

Mean:4

Mode:2

Step-by-step explanation:

3 0

3 years ago

Find the value of the indicated angles. HELP PLEASE!!

balu736 [363]

Answer:

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Step-by-step explanation:

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7 0

2 years ago

Read 2 more answers

Explain how to find the estimated sum of 5/8+2/9 . Make sure to include at least one type of model.

OverLord2011 [107]

In this expression you would have to use the PEMDAS method. First divide, so (5 divided by 8) + (2 divided by 9).
The answer you would get is: (0.625) + (0.222)
The final answer is: 0.847

8 0

3 years ago