What page is it because I have the same math book?Unless you're not in 8th grade then I can't help.
Answer:
-11/18
Step-by-step explanation:
1. find the common denominator. this should be 18
2. multiply 1 by 3 and -7 by 2
3. you should now have a fraction that says 3/18-14/18
4. now subtract these two fractions.
5. your answer should be -11/8
With this given information that 8 filters = $39.92. What you can do is divide $39.92 by 8 and get the individual price of 1 filter. So, $39.92/8 = $4.99 (price of 1 filter). The question is asking for the cost of 6 filters so you can multiply $4.99 with 6 filters and get $29.94. The answer is $29.94 for 6 filters.
Answer:
A. 27°
Step-by-step explanation:
Given that s is perpendicular to r, and <1 = 3x, <2 = 5x + 18, therefore:
m<1 + m<2 = 90°
3x + (5x + 18) = 90°
Solve for x using this equation
3x + 5x + 18 = 90
8x + 18 = 90
Subtract 18 from both sides
8x + 18 - 18 = 90 - 18
8x = 72
Divide both sides by 8
x = 9
Find m<1
m<1 = 3x
Plug in the value of x
m<1 = 3(9) = 27°
Answer:
The volume of the cone is:
- <u>112.6 cubic inches.</u>
Step-by-step explanation:
You should know that the volume of a straight circular cone is equal to:
- Cone volume = (1/3) PI * r ^ 2 * h
Where:
<em>r = radius.
</em>
<em>h = height.
</em>
Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:
- Circumference = PI * Diameter.
When clearing you get:
- Diameter = circumference / PI
By replacing the data you get:
- Diameter = 15 inches / PI
- Diameter = 4.77 inches.
Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:
- Cone volume = (1/3) PI * 2.385 in^2 * 18.9 in
- Cone volume = 112.581541 in^3
- <u>Cone volume = 112.6 in^3</u>