Answer: -16n-41
Step-by-step explanation:
first, distribute 2 through the parentheses:
<u>2(-n-3)</u>-7(5+2n) = <u>-2n-6</u>-7(5+2n)
second, distribute 7 through the parenthesis:
-2n-6<u>-7(5+2n) </u>= -2n-6<u>-35-14n</u>
Collect like terms:
<u>-2n</u>-6-35 and <u>-16n</u>-6-35
Calculate the difference:
-2n<u>-6-35</u>-14n = -16n-<u>41</u>
SOLUTION:
<u>-16n-41</u>
Answer:
Altitude of cylinder = 10 cm
Step-by-step explanation:
Given:
lateral surface area of cylinder = 90 cm²
Circumference of base = 9 cm
Find:
Altitude of cylinder
Computation:
Circumference of base = Circumference of cylinder
So,
2πr = 9
lateral surface area of cylinder = 2πrh
2πrh = 90
We know that; 2πr = 9
So,
9(h) = 90
h = 90 / 9
Altitude of cylinder = 10 cm
Answer:
terminating
Step-by-step explanation:
20 is a factor of a 100
20 × 5 = 100
therefore 19 × 5= 95
So in decimal form it's 2.95
Answer: 26.8 feet
Step-by-step explanation:
In the figure attached you can see two right triangles triangle ABD and a triangle ACD.
You are located at point B and the other person at point C.
The approximate height of the lifeguard station is <em>x</em>.
Keep on mind that:
Therefore:
<em>For the triangle ABD</em>:
[EQUATION 1]
<em>For the triangle ACD:</em>
[EQUATION 2]
Solve from DC from [EQUATION 2]:
Substitute into [EQUATION 1] and solve for x:
≈26.8ft
Answer: ↓↓↓
Step-by-step explanation:
1. EF || HG, HE || FG
2. Reflexive Property
3. Alternate Interior Angles
4. SAS
