Area of square base = 324 m²
Length of the square side = √324 = 18
The side of the square is the base of the triangle.
Area of triangle = (1/2)*base* height
135 = (1/2)*18* h
135 = 9h
135/9 = h
15 = h
height = 15 m
To get the height of the Pyramid, the height of the Triangle and half the length of the side of the square form a right angled triangle.
Hypotenus = 15
Half length of square = 18/2 = 9
Height of Pyramid = H
By Pythagoras' Theorem:
15² = H² + 9²
225 =H² + 81
H² + 81 = 225
H² = 225 - 81
H² = 144 Take square root of both sides
H = √144
H = 12
Height = 12 meters.
Option C.
Answer:
x>5
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
4x−15>−2x+15
Step 2: Add 2x to both sides.
4x−15+2x>−2x+15+2x
6x−15>15
Step 3: Add 15 to both sides.
6x−15+15>15+15
6x>30
Step 4: Divide both sides by 6.
Answer: 22 batches of chocolate chip cookies
Step-by-step explanation:
A batch of cookies can take 0.25 cups of sugar to make.
You instead have 5.50 cups of sugar.
The number of batches that can be made is:
= Total amount of sugar available / Amount of sugar required for one batch
= 5.50 / 0.25
= 22 batches of chocolate chip cookies
Answer:
Any figure?
Step-by-step explanation:
Answer:
2c^2 - 2c - 3
Step-by-step explanation:
Next time, please share the answer choices. Thank you.
Group together the 'c' terms in 2 + 7c – 4c2 – 3c + 4:
2 + 4c and -4c^2 + 4 Then we have:
-4c^2 + 4c + 6
We should reduce this by factoring -2 out of all three terms:
2c^2 - 2c - 3 This is the desired quadratic in standard form.
