3 RIGHT TRIANGLES
1 big right triangle is divided into 2 smaller ones. Medium
and small.
<span> a.How far is the spot on the beach from the parking lot? </span>
Medium triangle: long leg = 32 m ; short leg = x
Small triangle: long leg = x ; short leg = 18m
32/x = x/18
32*18 = x*x
576 = x²
√576 = √x²
24 = x
Parking lot to the beach is 24 meters.
<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>
Use Pythagorean theorem:
Medium triangle: long leg = 32 m ; short leg = 24 m ;
hypotenuse = ?
32²+ 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 m = c
Parking lot to refreshment stand is 40 meters.
The temperature rose 22 degrees
Answer: It would be cheaper to by the 120 ounce, instead of two 64 ounces.
Step-by-step explanation:
That’s because it would be $6.64, for two 64 ounces. $5.90 is cheaper than $6.64. Therefore it would be cheaper to get the 120 ounce.
Answer:
- 3
Step-by-step explanation:
Differentiate f(x) using the power rule
(a
) = na
Given f(x) =
= 3
, then
f'(x) = - 3
= - 
f'(1) = -
= - 3
<h3>The cost of purchasing baby chicks at $4.50 per chick represents proportional relationship</h3>
<em><u>Solution:</u></em>
in a proportional relationship, one variable is always a constant value times the other.
y = kx
Where, k is a constant
<em><u>Option 1</u></em>
The cost of purchasing hay for $26 a bale with a delivery charge of $30
Cost = $ 26 a bale + 30
This does not forms a proportional relationship
<em><u>Option 2</u></em>
The cost of purchasing baby chicks at $4.50 per chick
Let "x" be the number of chicks
Therefore,

Thus, this forms a proportional relationship
<em><u>Option 3</u></em>
The cost of purchasing fencing at $29 a linear foot with an installation fee of $300
cost = $ 29 a linear foot + 300
This does not forms a proportional relationship
<em><u>Option 4</u></em>
The cost of renting a backhoe for $79 per hour with a non-refundable deposit of $300
cost = $ 79 per hour + 300
This does not forms a proportional relationship