Answer: 45 degrees
Step-by-step explanation:
Base angle theorem states that the base angles of an isosceles triangle are congruent, or the same.
The fractions which cannbe formed are: 2/3, 3/2, 2/5, 5/2, 3/5 and 5/3.
Now, we find the products with the third number:
2/3*5= 10/3 = 3.33 > 2
3/2*5 = 15 >2= 7.5 > 2
2/5*3= 6/5 (rejected)
5/2*3 = 15/2 > 2
3/5*2= 6/5 (rejected)
5/3*2 = 15/2 = 7.5> 2
Answer:
9 centimeters
Step-by-step explanation:
Let the width be represented by l - 5, where l is the length.
Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor
A = lw
36 = l(l - 5)
36 = l² - 5l
0 = l² - 5l - 36
Factor:
(l - 9)(l + 4)
Set equal to zero and solve for both solutions:
(l - 9)(l + 4) = 0
l - 9 = 0
l = 9
l + 4 = 0
l = -4
The length cannot be negative, so the answer has to be 9.
The length is 9 centimeters
Answer:
Quadratic, because the height increases and then decreases.
Step-by-step explanation:
In an exponential function, the graph will either increase or decrease over the entire domain. It does not change direction.
We can see from the table that the heights increase and then decrease; this means it cannot be an exponential function.
A quadratic function has a graph that is u-shaped. It will start out either increasing or decreasing, and then after the maximum or minimum is reached, it changes direction.
We can see from the table that this is what the heights do; this means it is a quadratic function.
