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miskamm [114]
3 years ago
9

One side of a triangle is 2 times the second side. The third side is 5 feet longer than the second side. The perimeter of a tria

ngle is 81 feet. Find the length of each side.
Mathematics
1 answer:
jonny [76]3 years ago
7 0

Answer:

The length of the side of the triangles are;

First side = 38 ft

Second side = 19 ft

Third side =24 ft

Step-by-step explanation:

To solve the question we are going to take;

Second side is x ft

Since, the first side is 2 times the second side then;

First side of the triangle is 2x ft

Since the third side is 5 ft less than the second side, then;

The third side is (x+5) ft

But, the perimeter of the triangle is 81 ft

Perimeter of a triangle is given by the sum of sides;

Therefore;

x + 2x +(x +5) = 81 ft

4x + 5 = 81

4x = 76

    x = 19 ft

Therefore;

Second side = 19 ft

First side = 38 ft

Third side = 24 ft

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Montano1993 [528]

Answer:

\dfrac{m^3}{16p^2q^2}

Step-by-step explanation:

Given:

(2pm^{-1}q^0)^{-4}\cdot \dfrac{ 2m^{-1} p^3}{2pq^2}

1.

m^{-1}=\dfrac{1}{m}

2.

q^0=1

3.

2pm^{-1}q^0=2p\cdot \dfrac{1}{m}\cdot 1=\dfrac{2p}{m}

4.

(2pm^{-1}q^0)^{-4}=\left(\dfrac{2p}{m}\right)^{-4}=\left(\dfrac{m}{2p}\right)^4=\dfrac{m^4}{(2p)^4}=\dfrac{m^4}{16p^4}

5.

m^{-1}=\dfrac{1}{m}

6.

2m^{-1} p^3=2\cdot \dfrac{1}{m}\cdot p^3=\dfrac{2p^3}{m}

7.

\dfrac{ 2m^{-1} p^3}{2pq^2}=\dfrac{\frac{2p^3}{m}}{2pq^2}=\dfrac{2p^3}{m}\cdot \dfrac{1}{2pq^2}=\dfrac{p^2}{mq^2}

8.

(2pm^{-1}q^0)^{-4}\cdot \dfrac{ 2m^{-1} p^3}{2pq^2}=\dfrac{m^4}{16p^4}\cdot \dfrac{p^2}{mq^2}=\dfrac{m^3}{16p^2q^2}

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A local gym offers a trial membership for 3 months. It discounts the regular monthly fee x by $25. If the total cost of the tria
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3(x - 25) < $100.  We're not req'd to solve this.


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3 years ago
How many seconds until the ball touches the ground
neonofarm [45]

Answer: 6.06 seconds

Step-by-step explanation:

This will not factor. The ball will hit the ground 6.06 seconds after thrown.

7 0
2 years ago
Five cupcakes and two cookies cost $19.75. Two cupcakes and four cookies cost $ 17.50.
alina1380 [7]

Answer:

Step-by-step explanation:

Let x and y represent the cost of a cupcake and cookie respectively.

Given that;

Five cupcakes and two cookies cost  $19.75.

5x+2y=19.75 ---------- 1

Two cupcakes  and four cookies cost $17.50.

2x+4y=17.50 --------------2

Let's solve the simultaneous equation by elimination;

Multiply equation 1 by 2;

10x+4y=39.50-------3\\

Subtract equation 2 from equation 3;

10x-2x+4y-4y=39.50-8x=22

8x=22

divide both sides by 8

\frac{8x}{8} =\frac{22}{8} \\x=2.75

Since we have the value of x, let substitute into equation 1 to get y;

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therefore , the cost of cupcakes and cookies are;

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6 0
3 years ago
What is the value of the angle marked with x?
morpeh [17]

Given:

Quadrilateral with opposite lines are parallel.

To find:

The value of x

Solution:

Quadrilateral with opposite lines are parallel.

Therefore the quadrilateral is a parallelogram.

In parallelogram, the adjacent angles are supplementary angles.

⇒ 48° + x = 180°

Subtract 48° from both sides.

⇒ 48° + x - 48° = 180° - 48°

⇒ x = 132°

The value of the angle x is 132°.

4 0
3 years ago
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