0.92085175 radians
Let's first calculate the length of the diagonal of the base. Using the Pythagorean theorem:
b = sqrt(9^2 + 7^2) = sqrt(81 + 49) = sqrt(130) = 11.40175425
Now the length of the diagonal to the box. Once again, using the Pythagorean theorem:
d = sqrt(15^2 + 11.40175425^2) = sqrt(225 + 130) = sqrt(335) = 18.84144368
We now have a right triangle where we know the lengths of all three sides. The lengths are:
a = 15
b = sqrt(130) ≠11.40175425
c = sqrt(335) ≠18.84144368
we want the angle opposite to side a. So
tan(A) = 15/11.40175425 = 1.315587029
A = atan(1.315587029)
A = 0.92085175 radians
Answer: 1 in 13
Step-by-step explanation:
Yes
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find attached:
For algebraic division use KCF method.
K - Keep the first fraction
C- Change division to multiplicatin
F -Flip the second fraction.
3) Indenty used: (a -b)² =a² -2ab + b²
Where a = m and b =2
4) Identity used: (a +b)² = a² + 2ab +b²
Where a = w and b = 1
5) Identity used: a² - b² = (a +b)*(a -b)
Where a = z and b = 2
Answer:
Yes
Step-by-step explanation:
If you divide all the sides of the larger triangle by 3, it's equivalent to the sides of the smaller triangle. Therefore, they are similar.