An obtuse angle is an angle with more than 90 degrees and less than 180. so, we can add < 180 and > 90 to the expression, making it the inequality 180 < 3x + 24 > 90. we then solve.
3x + 24 > 90 and 3x + 24 < 180
3x > 66 and 3x < 156
x > 22 and x < 52
so x can be anything more than 22 and less than 52 (it cannot be 52 or more or 22 or less)
hope this helps!
Answer:
a) 0.7
b) 0.3
c) 0
d) 1
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
(a) Coke
Out of 10, 7. So
(b) fanta
3 out of 10. So
(c) neither Coke nor fanta
7 Coke, 3 fanta, so all 10 are either coke or fanta. Thus:
(d) either Coke or fanta
All 10. Thus:
Answer:
Width of the rectangle = 15 inches
Length of the rectangle = 25 inches
Step-by-step explanation:
Let the width of the rectangle = k inches
So, the length of the rectangle = (2k -5) inches
Perimeter = 80 in
Perimeter of a rectangle = 2 (Length + Width)
⇒ 80 = 2(k + (2k -5)
or 80 = 6k - 10
⇒ 6k = 80 + 10 = 90
or k = 90 / 6
⇒ k = 15
So the width of the rectangle = k = 15 inches
And the length of the rectangle = 2k -5 = 2 x 25 - 5 = 25 inches
Answer:
Step-by-step explanation:
Given
Required
The sample mean
This is calculated using:
So, we have:
The first one the height of the candle remains the same after many minutes the second one the water in a storage tank decreas. Find slope by using slope formula
