Answer:
c < - 6
Step-by-step explanation:
Given
3(2c - 8) - 10c > 0 ← distribute and simplify left side
6c - 24 - 10c > 0
- 4c - 24 > 0 ( add 24 to both sides )
- 4c > 24
Divide both sides by - 4, reversing the inequality symbol as a consequence of dividing by a negative quantity.
c < - 6
Answer:
height AB is 8 cm
Step-by-step explanation:
AB= √AC^2- BC^2
= √(10)^2- (6)^2
= √100-36
= √64
= 8
Answer:
D) 20.
Step-by-step explanation:
First find the value of x using Pythagoras theorem:
10^2 = x^2 + (2x)^2
5x^2 = 100
x^2 = 20
x = √20
= 2√5.
So the area of triangle
= 1/2 * base * height
= 1/2 * 2x * x
= x^2
= (2√5)^2
= 20.
Be sure to include the "=" sign: <span>f(x) = 2^x -7
To find the x-intercepts, set f(x) = 0 and solve for x: 2^x - 7 = 0,
or
2^x = 7
Take the common log of both sides: x log 2 = log 7
log 7
Solve for x: x = --------- = 2.81 (approx)
log 2
</span>
Answer:
Surface area = 2,160 in²
Step-by-step explanation:
Given:
Length of box = 15 in
Width of box = 30 in
Height of box = 24 in
Find:
Surface area
Computation:
Surface area = 2h[l+b]
Surface area = 2(24)[30 + 15]
Surface area = 48 x 45
Surface area = 2,160 in²
