-1/4 + f/8 = 1/2.
The LCD is 8. Rewrite this equation as -8/4 + 8f/8 = 8(1/2) and then reduce the result:
-2 + f = =4
Then f = 6.
You should check this result.
Answer:
152
Step-by-step explanation:
12+16=28 so 180 is the total and 180-28=<u>152</u>
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Answer:
Veronika's weight = 92 pounds
Kate's weight = 46 pounds
Step-by-step explanation:
Let Veronika's weight = x
Let Kate's weight = y
The sum of Veronika's and Kate's weight is 118 pounds.
x + y = 118
Veronika weighs 26 pounds more than Kate.
x = y + 26
How much do they weigh individually?
We substitute y + 26 for x in Equation 1
x + y = 118
y + 26 + y = 118
26 + 2y = 118
2y = 118 - 26
2y = 92
y = 92/2
y = 46 pounds
x = y + 26
x = 46 + 26
x = 92 pounds
Hence,
Veronika's weight = 92 pounds
Kate's weight = 46 pounds
Answer:
Option B is correct
the degree of rotation is, 
Step-by-step explanation:
A rotation matrix is a matrix that is used to perform a rotation in Euclidean space.
To find the degree of rotation using a standard rotation matrix i.e,

Given the matrix: 
Now, equate the given matrix with standard matrix we have;
= 
On comparing we get;
and
As,we know:

we get;

and

we get;

Therefore, the degree of rotation is, 
Answer:

Step-by-step explanation:
Given

Required
Find a
Take log of both sides

Apply law of logarithm

Divide both sides by a

Multiply both sides by -9

Apply law of logarithm

Cancel out log

Rewrite as:

Apply law of indices

