Answer:
n = 144
Step-by-step explanation:
divide both sided by 1/8
to get n = 18 / 1/8
n = 144
Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square
units.
C.What is the length of the bottom side of the scaled copy?
Please hurry
Answer:
The length of bottom side of the scaled copy is 12 u
Step-by-step explanation:
To solve this problem we have to know that to calculate the area of a triangle we use the following formula
a = area
b = base
h = height
a = b * h
In the triangle A the base and the height are equal to 3
b = h
Now that we know that b & h we can calculate the base of the scaled copy
72 u² = b * b
72 u² = (b)²
√(72 u²) = b
12 u = b
The length of bottom side of the scaled copy is 12 u
To find the length of the bottom side of the scaled copy of Triangle A, we need to find the scaling factor which is the square root of the ratio of the areas of the scaled copy and the original triangle. The length of the bottom side of the scaled copy is 8 times the length of the bottom side of the original triangle.
To find the length of the bottom side of the scaled copy of Triangle A, we need to find the scaling factor. The scaling factor is the square root of the ratio of the areas of the scaled copy and the original triangle. Here, the area of the scaled copy is given as 72 square units. Let's assume the scaling factor as 'k'. So the area of the scaled copy is k^2 times the area of the original triangle. Therefore, we have the equation k^2 = 72.
Taking the square root of both sides, we get k = sqrt(72).
So the length of the bottom side of the scaled copy is 8 times the length of the bottom side of the original triangle.
#SPJ2
n = 3m + 6
n − 2m = 2
What is the solution, in the form (m, n), to the system of equations?
(−4, −6)
(−5, −9)
(2, 6)
(1, 8)
Question 2
The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below:
STEP1: 2(y + 6) = 4y
Step 2: 2y + 8 = 4y
Step 3: 2y = 8
Step 4: y = 4
Which of the following explains how to correct Step 2 and shows the correct value of y?
2 should be distributed as 2y + 12; y = 6
2 should be distributed as 2y + 12; y = 3
The equation should be y + 6 = 4y after division by 2; y = 2
The equation should be y + 6 = 4y after division by 2; y = 1
Question 3
The equation 3.3x − 6.6 = 2.7x can be transformed to form which of the following expressions?
6.0x = 6.6
0.6x = 6.6
6.0x = −6.6
0.6x = −6.6
Answer:
Part 1: The solution is (-4,-6)
Part 2: 2 should be distributed as 2y + 12; y = 6
Part 3:
Step-by-step explanation:
Part 1: Given the system of equations
→ (1)
→ (2)
Solving above two equations
Subtract 2 from 1, we get
(1) ⇒
The solution is (-4,-6)
Option 1 is correct.
Part 2: The incorrect work of a student to solve an equation 2(y + 6) = 4y
we have to choose the correct step to solve value of y
Equation: 2(y + 6) = 4y
By distributive property
2y+12=4y
2y=12 ⇒ y=6
Hence, 2 should be distributed as 2y + 12; y = 6
∴ Option 1 is correct.
Part 3: Given the equation 3.3x − 6.6 = 2.7x
we have to solve
3.3x − 6.6 = 2.7x
Subtracting 2.7x both sides
Option 2 is correct.