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.
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 )
85 x .15 = 12.75
85 + 12.75 = 97.75
Answer: Nolan took 97.75 Seconds
Answer:
9
Step-by-step explanation:
9 is the only number that has a whole number square root, 3.
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
.
In the given question, point P is such that <APB = <APC = <BPC =
. Also, line PB bisects <ABC into two <u>equal</u> measures. Thus;
<ABP = 
Thus,
<ABP + <APB + <BAP = 
30 + 120 + <BAP = 
<BAP =
- 150
<BAP = 
Apply the <em>Sine rule</em> to determine the <u>value</u> of <em>PB</em>, such that;
= 
= 
BP = 
= 
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