Formula for area of triangle:
A= 1/2 bh
Where b is the base and h is the height of the triangle.
Here, h= b-9
A=56 m^2
Put values in formula.
56= 1/2 (b) (b-9)
56=b(b-9)/2
Multiply both sides by 2.
112=b^2-9b
or
b^2-9b-112=0
Factorise the equation.
b^2-16b+7b-112=0
b(b-16)+7(b-16)=0
(b+7)(b-16)=0
Using zero factor theorem.
b+7=0 or b=-7
and
b-16=0 or b=16
Ignore the value b=-7, because length cannot be negative.
So length of base=16 m
Answer: Base=16m
The function represented by the table of values is an exponential function
<h3>How to determine the function type?</h3>
The table is given as:
x 0 1 2 3 4
y 5 10 20 40 80
On the table, we have the following highlights:
- As x increases by 1
- y multiplies by 2
This means that the function has a common ratio
Only exponential functions have a common ratio
Hence, the function is an exponential function
Read more about exponential function at:
brainly.com/question/11464095
#SPJ1
Answer:
85.4
Step-by-step explanation:
first you have to find the radius before you find the area. so given the height, the radius is 11.3 meters. then, you need to find the area behind the arc, which is 85.4 meters/
Answer: 17/18
Step-by-step explanation:
It would be less than 1 because it doesn’t have a a one in front of the fraction
Hope this helps :)
Answer: 0.0775
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Since its normal distribution , then the formula to calculate the z-score is given by :-
For x= 28.2 hours
For x= 30 hours
The P- value = 
Hence, the probabiliy that the average time spent stydying for the sampe was between 28.2 and 30 hours = 0.0775
