All categories

3 years ago

The perimeter of a triangle is 80. side one is four times side two. side three is ten less than side one. what are the 3 sides

1 answer:

5 0

Let say that:
side one = A
side two = B
side three = C
And also, A+B+C = 80

Then, from that information we can get..
A=4B ; C=A-10... We can get the value of A, but we have to modified some equation.

Let, B=1/4 A.... (eq.1)
C=A-10.... (eq.2)
If we adding eq.1 and eq.2 we get:
B+C = 2A-39/4

Therefore,
A= 80 - (B+C)
A = 80 - 2A + 39/4
3A = 80 + 39/4
3A = 359/4 (Dividing both sides with 3)
A = 359/12 = 29.92
B = 1/4 A = 359/48 = 7.48
C = 359/12 - 10 = 19.92

You might be interested in

Find the volume of the prism. 4 in. 8 in. 8 in.

Temka [501]

Answer:

256

Step-by-step explanation:

8×8=64

64×4=256

256

3 0

2 years ago

Read 2 more answers

a village having a population of 4000, requires 150 litres of water per head per day. it has a tank measuring 20m x 15m x 6m. fo

allochka39001 [22]

The water will last for 3 days

Solution:

Given that, village having a population of 4000, requires 150 litres of water per head per day

Let us first find the volume of tank

The tank measuring 20m x 15m x 6m

Length = 20 m

Breadth = 15 m

Height = 6 m

$volume\ of\ tank = length \times breadth \times height$

$Volume\ of\ tank = 20 \times 15 \times 6 = 1800$

Thus volume of tank is 1800 cubic meter

From given,

Water required per person per day = 150 liters

Therefore, water required for 4000 people per day is:

$\rightarrow 4000 \times 150 = 600000 \text{ liters }$

Convert to meters

$600000 \text{ liters } = 600000 \times \frac{1}{1000}\ m^3\\\\600000 \text{ liters } = 600\ m^3$

How many days will the water of this tank last?

$\text{Number of days water will last } = \frac{\text{volume of tank}}{\text{total water required per day}}$

$\text{Number of days water will last } = \frac{1800}{600} = 3$

Thus the water will last for 3 days

5 0

3 years ago

Nth term of the sequences....? (a) 1, 4, 9, 16, 25 (b) 3, 6, 11, 18, 27

denis-greek [22]

A. 36 as the numbers are adding by the next odd integer. An example is: 1–>4 is +3, 4–>9 is +5, 9–>16 is +7, and so on. This rule applies to both of our sequences.
b. 38.
Hope this helps :) brainly if possible so others can see.

7 0

3 years ago

Read 2 more answers

Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 70 feet of fencing to

viktelen [127]

The dimension that would give the maximum area is 20.8569

<h3>How to solve for the maximum area</h3>

Let the shorter side be = x

Perimeter of the semi-circle is πx

Twice the Length of the longer side

$[70-(\pi )x -x]$