Step-by-step explanation:
Given prism has:
Length = 5 in, width = 4 in & height = 6 in
Surface area of prism
Answer:
remainder = 21
Step-by-step explanation:
If f(x) is divided by (x - h) then the remainder is f(h)
Here f(x) is divided by (x - 2) with h = 2 , then remainder is
f(2) = 4(2) + 3(2)² + 1 = 8 + 3(4) + 1 = 8 + 12 + 1 = 21
D∩E=D This is because since D is a subset of E then the elements they will have in common are the elements in D and D is not a null set
Let Sarah's age be s and Antonio's age be a.
According to your question,
2a + 3s = 34
s = 5a
substituting the value of s in eq. 1,
2a + 3(5a) = 34
= 2a + 15 a = 34
17a = 34
thus, a = 34/17 = 2
substituting the value of a is s,
s = 5(2)
= 10
Thus, Sarah's age is 10 years and Antonio's age is 2 years.
All the angles must add to 180degrees in a triangle.
180 = 59 + 35 + x
180 = 94 + x
86 = x
Supplementary angles x and z add to 180
180 = x + z
180 = 86 + z
94 = z
Now the last triangle is with angles 11, z, and y
they must add to 180 so...
180 = 11 + z + y
180 = 11 + 94 + y
180 = 105 + y
75 = y
Hope this helps!
