This is an isosceles triangle. The definition of an isosceles triangle is a triangle with at least two congruent sides and angles. If 2 angles on a triangle are congruent (in this case 45 and 45 are two congruent angles) then triangle is isosceles. Therefore the two sides of triangle will be congruent. We know that the triangle is a right triangle because it has a hypotenuse. If a triangle has a hypotenuse then it's a right triangle. We can apply the Pythagorean theorem: a^2 + b^2 = c^2
A and B are the legs and C is the hypotenuse.
We can plug C in the equation:
a^2 + b^2 = 128
What do we know about the legs of the isosceles triangle? They are congruent so a and b have to be equal. From here it's simply guess and check. Will 8 work?
8^2 + 8^2 = 128
64 + 64 = 128
128=128
Yes the value 8 works so the length of two legs of the triangle is 8.
6975757441x^8 / 256
This is the answer hope this helps
Answer:
She can jump 13.2 inches.
Step-by-step explanation:
In order to compute how high Dagne can jump we must find how much is 27.5% of 48 inches. We can do that by applying a rule of three, where 48 inches is to 100% as x inches is to 27.5%. In this case x will be the height of her jump. So we have:
48 inches -> 100%
x inches -> 27.5%
x = (48*27.5)/100 = 13.2 inches
She can jump 13.2 inches.
Answer:
x = -1, 1
Step-by-step explanation:
The solutions to f(x) = g(x) are the x-values where the two functions have the same value.
The functions are both 1 when x = -1.
The functions are both -7 when x = 1.
The two solutions are x = -1, x = 1.
Answer:

Step-by-step explanation:
step 1
Find the lateral surface of the cylinder (hot water tank)
The lateral area is given by the formula

we have

substitute


step 2
Find the volume of fiberglass composite needed
Multiply the lateral area by the thick

-----> exact value
assume

