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3 years ago

What is the value of x in feet? (Perimeter and area)

Mathematics

1 answer:

babymother [125]3 years ago

4 0

Answer:

x = 71.937 ft or 72 ft

Perimeter = 187 ft

Area of triangle = 1260 ft²

Step-by-step explanation:

Pythagorean Theorem

a^2 + b^2 = c^2

a = 35

b = x

c = 80

35^2 + x^2 = 80^2

x^2 = 5175

x = 71.937 ft or about 72 ft

Perimeter = a + b + c = 35 + 72 + 80 = 187 ft

Area of triangle =1/2*base*height= 1/2(72)(35) = 1260ft^2

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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.

4 0

2 years ago

Help find the distance between two points?

miv72 [106K]

Answer:

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = B(0, 0) and (x₂, y₂ ) = ( $\frac{\sqrt{6} }{2}$ , $\frac{\sqrt{58} }{2}$ )

AB = $\sqrt{((\frac{\sqrt{6} }{2})^2 }$ + $\{(\frac{\sqrt{58} }{2})^2 }$

= $\sqrt{\frac{6}{4} }$ + $\frac{58}{4}$

= $\sqrt{\frac{64}{4} }$

= $\sqrt{16}$

= 4

7 0

3 years ago

Pythagorean theorem<br>practice test<br>

xeze [42]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

when adding two rational numbers tell what the sign of the sum will be if one rational number is positive and one is negative

Mekhanik [1.2K]

Answer:

True

When you add two negative numbers the sum is always negative ex.

When you add two numbers with different signs get the difference and get the sign by the larger absolute value ex.

Step-by-step explanation:

8 0

2 years ago

Mondays at pizza pan you can cheese to toppings at no extra cost for your pizza to tacos are mushroom sausage peppers and extra

viva [34]

Answer:

We can order 35 different types of pizza based on the toppings.

Step-by-step explanation:

There are 3 different types of pizza crust which a person can choose for his pizza. On Monday's company has introduced new campaign in which a person can choose extra toppings of his choice at no additional cost. The topping are of 7 different types. The total number of different pizza which a person can have is 7C3. Solving through computation technique we get 35.

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3 years ago