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artcher [175]
3 years ago
14

The perimeter of a triangle is 39 feet. One side of the triangle is one foot longer than the second side. The third side is two

feet longer than the second side. Find the length of each side.
Mathematics
1 answer:
Ivenika [448]3 years ago
3 0

Answer:

Step-by-step explanation:

39 feet for one side

40 feet for another

42 feet for the last side

I got the answer by adding 1 foot to the first side which comes out to be 40 feet, I got the last answer by adding 2 feet to 40 which is 42.

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A cashier has a total of 30 bills consisting of ones, fives and twenties. the number of twenties is 5 less than the number of on
Varvara68 [4.7K]

Let us say that:

a = ones

b = fives

c = twenties

 

So that the total money is:

1 * a + 5 * b + 20 * c = 229

=> a + 5b + 20c = 229                                       --> eqtn 1

 

We are also given that:

c = a – 5                                                                --> eqtn 2

a + b + c = 30                                                      --> eqtn 3

 

Rewriting eqtn 3 in terms of b:

b = 30 – a – c

Plugging in eqtn 2 into this:

b = 30 – a – (a – 5)

b = 35 – 2a                                                           --> eqtn 4

 

Plugging in eqtn 2 and 4 into eqtn 1:

a + 5(35 – 2a) + 20(a – 5) = 229

a + 175 – 10a + 20a – 100 = 229

11a = 154

a = 14

 

So,

b = 35 – 2a = 7

c = a – 5 = 9

 

Therefore there are 14 ones, 7 fives, and 9 twenties.

7 0
3 years ago
A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long,
irina [24]
Using the Pythagorean theorem  4 would be the height and 8 would be the hypotenuse, you need to find the base

4^2 + X^2 = 8^2

16 x x^2 = 64

x^2 = 64-16
x^2 = 48

x = sqrt(48) = 6.92 feet ( round answer as needed )
6 0
3 years ago
Kong took 15% fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85 seconds. How many seconds di
Inga [223]
85 x .15 = 12.75
85 + 12.75 = 97.75
Answer: Nolan took 97.75 Seconds
8 0
2 years ago
Read 2 more answers
Which of the following numbers are square numbers?
Zina [86]

Answer:

9

Step-by-step explanation:

9 is the only number that has a whole number square root, 3.

4 0
3 years ago
In △ABC, ∠ABC = 60○
Temka [501]

A given shape that is <u>bounded</u> by three sides and has got three <em>internal angles</em> is referred to as a <u>triangle</u>. Thus the <em>value</em> of PB is <u>8.0</u> units.

A given <u>shape</u> that is <em>bounded</em> by three <em>sides</em> and has got three <em>internal angles</em> is referred to as a <em>triangle</em>. Types of <u>triangles</u> include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The<em> sum</em> of the <u>internal</u> <u>angles</u> of any triangle is 180^{o}.

In the given question, point P is such that <APB = <APC = <BPC = 120^{o}. Also, line PB bisects <ABC into two <u>equal</u> measures. Thus;

<ABP = 30^{o}

Thus,

<ABP + <APB + <BAP = 180^{o}

30 + 120 + <BAP = 180^{o}

<BAP = 180^{o} - 150

<BAP = 30^{o}

Apply the <em>Sine rule</em> to determine the <u>value</u> of <em>PB</em>, such that;

\frac{AP}{Sin B} = \frac{BP}{Sin30}

\frac{8}{Sin30} = \frac{BP}{Sin 30}

BP = \frac{8*Sin30}{Sin 30}

     = \frac{4}{0.5}

BP = 8.0

Therefore, the <u>value</u> of <u>BP</u> = 8 units.

For more clarifications on applications of the Sine rule, visit: brainly.com/question/15018190

#SPJ1

8 0
1 year ago
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