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Anestetic [448]
3 years ago
11

The length of the base of a triangle is twice its height. if the area of the triangle is 196 square​ kilometers, find the height

.
Mathematics
2 answers:
denis23 [38]3 years ago
7 0
Hey user!

your answer is here..

ATQ,

the length of the base of the triangle is twice it's height.

let the height of the triangle be x.

therefore base of the triangle is 2x.

given area of the triangle = 196km²

==> 1/2 × b × h = 196km²

==> 1/2 × 2x × x = 196km²

==> x × x = 196km²

==> x² = 196km²

==> x = √196

==> x = 14

hence, height of the triangle = x = 14km

base of the triangle = 2x = 2 × 14 = 28km

VERIFICATION :-

area of the triangle = 1/2 × b × h

= 1/2 × 14 × 28

= 7 × 28

= 196km²

hence verified..

cheers!!
NISA [10]3 years ago
4 0
Area = 1/2 x base x height

Let the height be x.
Height = x
Base = 2x

Area of triangle = 1/2 x base x  heght

Plug base and height into the variables:
(1/2)(2x)(x) = 196

Combine like terms:
x² = 196

Square root both sides:
x = 14

Find Base and height:
Base = x = 14 km
Height = 2x = 2(14) = 28 km

Answer: Height = 28km
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7 0
3 years ago
The cost price of a box and a pen is Rs 80 The box is sold at 10% profit and the pen is sold at 20% loss. If the selling price o
uysha [10]

Answer:

61.84%

Step-by-step explanation:

Let the cost of the box be x. Since the price of the box and the pen is Rs 80, the pen's price can be represented as 80 - x. The box is sold at a ten percent profit, and an added ten percent is equal to 1.1. Therefore, the price the box sells at is 1.1(x). A 20% loss is the same a keeping 80% or multiplying by 0.8. This means the pen sold at 0.8(80 - x). Now, we are given the box went for Rs 28 more than the pen, so we can create an equation:

1.1x = 0.8(80 - x) + 28

We can simplify and solve:

1.1x = 64 - 0.8x + 28

1.9x = 92

x = 92/1.9

x = 920/19

The cost of the box after the increase would be 1.1(920/19) and the pen would be 0.8(80 - 920/19).

The sum of these two can be written as a percent x of 80.

80x = 0.8(80 - 920/19) + 1.1(920/19)

80x = 64 - 0.8(920/19) + 1.1(920/9)

80x = 64 - 0.3(920/19)

80x = 64 - 276/19

80x = 940/19

x = 940/1520

x = 0.6184

This is 61.84%

4 0
3 years ago
What is the weekly profit? Plz help.!
UkoKoshka [18]

Answer:

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Step-by-step explanation:

8 0
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What is her net pay?
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7 0
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Joaquin has $1,300 in the bank and has investments worth $4,000. He also has $7,000 worth of credit card debt. What is Joaquin's
svetlana [45]
The answer to this question would be: <span>-$1,700

In this question, we can separate the account into positive/debit and negative/credit value. The positive/debit value should be:

Joaquin has $1,300 in the bank
He has $4,000 worth of investment
Total positive value = $1300 + $4000= $5300

The negative value should be 
</span><span>$7,000 worth of credit card debt
</span>Total positive value =$7000
<span>
Then the net worth should be: $5300 - $7000= -$1700</span>
7 0
4 years ago
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