DH = HF
x + 1 = 3y
y = (x + 1) ⁄ 3
GH = HE
3x – 4 = 5y + 1
y = (3x – 5) ⁄ 5
y = y
(x + 1) ⁄ 3 = (3x – 5) ⁄ 5
5x + 5 = 9x – 15
4x = 20
x = 5
y = (x + 1) ⁄ 3
y = (5 + 1) ⁄ 3
y = 2
What is the height of the cylinder??
Answer: it will take 2.5 hours for both people to meet after person B leaves.
Step-by-step explanation:
The distance between the house of person A and his cousin's house is 234 miles.
At the point where they meet, they would have travelled 234 miles.
Person A travelled at an average speed of 44 miles per hour.
Let t represent the time spent by Person A in travelling from his house to the point where they meet.
Distance = speed × time
Distance covered by person A would be
44 × t = 44t
One and half hours later, person B leaves his house to visit person A, travelling at an average speed of 62 miles per hour. This means that total time spent by person B in travelling to the point where they meet is (t - 0.5) hours. Distance covered would be
62(t - 0.5) = 62t - 31
Since the total distance covered is 234 miles, then
44t + 62t - 31 = 234
106t = 234 + 31 = 265
t = 265/106 = 2.5 hours
Answer:
x<=-1/2
Step-by-step explanation:
An inequality is a mathematical relationship that compares two unequal numbers using the number line
To solve the inequality 2x – 6 ≥ 6(x – 2) + 8
We first simplify both sides of the inequality
2x-6≥6x-12+8
2x-6≥6x-4
Add 6 to both sides
2x≥6x+2
-4x≥2
x≥2/-4
Sign changes when we divide both sides of equation by a negative sign
x<=-1/2
Therefore x is less than or equal to -1/2 on the number line
Answer:
Step-by-step explanation:
Split the trapezoid as pictured below
Find its height and the upper base, then find the area of the trapezoid.
There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles
- The ratio of sides of a 30°×60°×90° triangle is 1 : √3 : 2
- The legs of a 45x45 triangle are equal
<u>The above mentioned properties give us:</u>
- h = 16/2 = 8 m
- b = 8√3 ≈ 13.85 m
- a = h = 8 m
<u>Now find the area:</u>
- A = 1/2( 13 + 8 + 13.85 + 13)*8 = 191.4 m²
Correct choice is B
