Answer:
Step-by-step explanation:
%change=100(final-initial)/(initial)
%change=100(40-32)/32
%change=25%
Answer:
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
we know that
In the right triangle XYZ
---> adjacent side divided by the hypotenuse
substitute the values

Remember that

so
substitute



step 2
--> opposite side divided by the hypotenuse
substitute the values

Remember that

so


step 3
--> opposite side divided by adjacent side
substitute the values
Simplify

so
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Answer: The answer is 60 square inches.
Step-by-step explanation: Given that Danny has a triangular pyramid where all the four triangles are congruent. The height and base of one triangle are 6 inches and 5 inches respectively. We are to find the surface area of the pyramid.
The area of one triangle is given by

Since the pyramid consists of four congruent triangles, so the surface area of the pyramid will be

Thus, the answer is 60 sq. inches.
Answer:
14
Step-by-step explanation:
(a+b)^2
(a+b)(a+b)
FOIL
a^2 + ab+ab + b^2
Combine like terms
a^2 +2ab + b^2
Rearranging
a^2+b^2 +2ab
We know a^2+b^2 = 4 and ab= 5
4 + 2(5)
4+10
14