A person's hourly pay rate, r, is found by dividing the total amount
1 answer:
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Step One
Find the fraction left.
Starting amount = 7/8 pound
Used amount = 1/7 of a pound.
The common denominator of these two fractions is 8 * 7 = 56
Amount left = amount started with - amount used
Amount left = 7/8 - 1/7
Amount left =
Amount left =
Amount left = 41 / 56 pounds
Step Two
Convert the Answer to ounces.
Ounces = (41/56) * 16
Ounces = 11.71 ounces almost 11 3/4
Find the fraction left.
Starting amount = 7/8 pound
Used amount = 1/7 of a pound.
The common denominator of these two fractions is 8 * 7 = 56
Amount left = amount started with - amount used
Amount left = 7/8 - 1/7
Amount left =
Amount left =
Amount left = 41 / 56 pounds
Step Two
Convert the Answer to ounces.
Ounces = (41/56) * 16
Ounces = 11.71 ounces almost 11 3/4
Answer:
Area of Δ ABC = 21.86 units square
Perimeter of Δ ABC = 24.59 units
Step-by-step explanation:
Given:
In Δ ABC
∠A=45°
∠C=30°
Height of triangle = 4 units.
To find area and perimeter of triangle we need to find the sides of the triangle.
Naming the end point of altitude as 'D'
Given
For Δ ABD
Since its a right triangle with one angle 45°, it means it is a special 45-45-90 triangle.
The sides of 45-45-90 triangle is given as:
Leg1
Leg2
Hypotenuse
where is any positive number
We are given BD(Leg 1)=4
∴ AD(Leg2)=4
∴ AB (hypotenuse)
For Δ CBD
Since its a right triangle with one angle 30°, it means it is a special 30-60-90 triangle.
The sides of 30-60-90 triangle is given as:
Leg1(side opposite 30° angle)
Leg2(side opposite 60° angle)
Hypotenuse
where is any positive number
We are given BD(Leg 1)=4
∴ CD(Leg2)
∴ BC (hypotenuse)
Length of side AC is given as sum of segments AD and CD
Perimeter of Δ ABC= Sum of sides of triangle
⇒ AB+BC+AC
⇒
⇒ units
Area of Δ ABC =
⇒
⇒ units square