An electrician needs to cut a 49 m piece of wire into two pieces so that one piece is 5 m longer than the other piece. What is t
1 answer:
The length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.
Given to us
An electrician needs to cut a 49 m piece of wire into two pieces so that one piece is 5 m longer than the other piece.
<h3>What are the two equal parts of the wire?</h3>We know that the length of the wire is 49 m, therefore, to cut the wire in two equal parts divide the total length of the wire by two,
Thus, the length of each side will be 24.5.
<h3>What is the length of the shorter piece of wire?</h3>Since we need to cut the wire such that one side of the wire is 5 less than the other, we already know the length of the equal sides deduct (5/2) from both sides to create a difference between the length of the wire.
Length of the shorter wire = 24.5 -2.5 = 22.5
Length of the longer wire = 22.5 + 5 = 27.5
Hence, the length of the shorter wire that the electrician cuts so that the difference between those two is of 5 m is 22.5.
Learn more about Lengths:
You might be interested in
The missing choices are:
A. z-score = 92 - 83
B. z-score = (92 - 83)/5
C. z-score = 83 - 92
D. z-score = (92 - 83)/92
The expression she would write to find z-score is z-score = ⇒ B
Step-by-step explanation:
The rule of z-score is z = (x -μ)/σ, where
- x is the score
- μ is the mean
- σ is the standard deviation
The scores of an eighth-grade math test have a normal distribution
∵ The mean is 83
∴ μ = 83
∵ The standard deviation is 5
∴ σ = 5
∵ Din’s test score was 92
∴ x = 92
- Substitute all of these values in the formula of z-score
∴ z-score =
The expression she would write to find z-score is z-score =
Learn more:
You can learn more about z-score in brainly.com/question/7207785
#LearnwithBrainly
Answer:
Area of triangle ADC is 54 square unit
Step-by-step explanation:
Here is the complete question:
Let ABC be a triangle such that AB=13, BC=14, and CA=15. D is a point on BC such that AD bisects angle A. Find the area of triangle ADC .
Step-by-step explanation:
Please see the attachment below for an illustrative diagram
Considering the diagram,
BC = BD + DC = 14
Let BD be ; hence, DC will be
and AD be
To, find the area of triangle ADC
Area of triangle ADC =
=
We will have to determine and
First we will find the area of triangle ABC
The area of triangle ABC can be determined using the Heron's formula.
Given a triangle with a,b, and c
Where
For the given triangle ABC
Let = AB,
= BC, and
= CA
Hence, and
∴
Then,
Area of triangle ABC =
Area of triangle ABC = =
Area of triangle ABC = 84 square unit
Now, considering the diagram
Area of triangle ABC = Area of triangle ADB + Area of triangle ADC
Area of triangle ADB =
Area of triangle ADB =
Hence,
Area of triangle ABC = +
84 = +
∴
∴
Hence, AD = 12
Now, we can find BD
Considering triangle ADB,
From Pythagorean theorem,
/AB/² = /AD/² + /BD/²
∴13² = 12² + /BD/²
/BD/² = 169 - 144
/BD/ =
/BD/ = 5
But, BD + DC = 14
Then, DC = 14 - BD = 14 - 5
BD = 9
Now, we can find the area of triangle ADC
Area of triangle ADC =
Area of triangle ADC =
Area of triangle ADC = 9 × 6
Area of triangle ADC = 54 square unit
Hence, Area of triangle ADC is 54 square unit.
