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3 years ago

Work out these approximate conversions.

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

5 0

Answer:

0.002 km

Step-by-step explanation:

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Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less

Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

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3 years ago

What is a rhombus with no right angles then ___________________

fiasKO [112]

It is a parallelogram

4 0

3 years ago

The equation below describes a circle. what are the coordinates of the circle?

Softa [21]

Coordinates: (-5,-7)

4 0

2 years ago

Read 2 more answers

What is the answer?

hammer [34]

Answer:

$x = 27$

Step-by-step explanation:

Angle A and angle E are the same value, therefore you could replace angle E with angle A. So that would make a triangle with angle C, angle D, and angle A. Knowing the sum of all angles in a triangle is 180, we can make an equation representing this.

$3x - 10 + 2x + 10 + 45 = 180$

Now simply silve the equation to find x.

$5x + 45 = 180 \\ 5x = 135 \\ x = 27$

There is your answer.

8 0

3 years ago

How can I prove that

Citrus2011 [14]

I can prove by being smart then that if you tell me all the ansers

6 0

4 years ago