Answer:
1200-928 = 272 for the rest of the month Clarissa has to spend.
Step-by-step explanation:
So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.
Answer:
x2 = 60
Step-by-step explanation:
If the variables x and y are inversely proportional, the product x * y is a constant.
So using x1 and y1 we can find the value of this constant:



Now, we can use the same constant to find x2:



So the value of x2 is 60.
Answer:
8 - 2π square units.
π/16 - 1/8 square units.
6π - 9√3 square units.
Step-by-step explanation:
The area of the square = 2√2 * 2√2
= 2*2*2
= 8.
The area of the circle = πr^2
= π * [ ( 2√2)/ 2) ]^2
= π (√2)^2
= 2π.
Second Question:
The area of the circle = π(1/2)^2 = π/4.
Finding the area of the square:
1^2 = 2x^2
x^2 = 1/2
So the area of the square = 1/2
So the area of the red part = 1/4 ( π/4 - 1/2).
= π/16 - 1/8.
Third question
Area of the circle = 6^2 * π = 36π.
Now 60 degrees is 1/6 of 360 degrees so the are of the sector is 6π.
The area of the segment = 6π - 0.5 * 6^2 sin 60
= 6π - 18√3/2
= 6π - 9√3 square units.
Answer:
x=12
Step-by-step explanation:
For the given situation , a quantity x is added to
gives 15.
We can set up equation as

Multiply each term by 4 on both sides to get rid the denominator.
It gives,
4 x+x=60
Now, combine like terms
5 x=60
Divide both sides by 5
x=12.
Answer:
27
Step-by-step explanation:
Givens
b1 = 13
b2 = ?
h = 6
Area = 120
Formula
Area = (b1 + b2) * h/2 Multiply by 2
2Area = (b1 + b2)*h Divide by h
2Area/h = b1 + b2 Subtract b1 from both sides
2Area/h - b1 = b2
Solution
2*120 / 6 - 13 = b2
40 - 13 = b2
b2 = 27
It is always handy to solve an equation in the form that finds the unknown on one side. It makes the solution much easier.