Answer:
B
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ FES is an exterior angle of the triangle , then
57° + ∠ F = 142° ( subtract 57° from both sides )
∠ F = 85°
Step-by-step explanation:
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As we know the radius and slant height, we can use Pythagoras' Theorem to find the perpendicular height.
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Now substitute this into the volume formula.
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18=1,2,3,9,18
37=1,37
48=1,2,3,16,24,12,4,6,8,48
Prime no. is a number that is divisible only by itself and 1
So, here 37 is a prime no.
18 and 48 are composite no.s
Given:
The polynomial function is

To find:
The possible roots of the given polynomial using rational root theorem.
Solution:
According to the rational root theorem, all the rational roots and in the form of
, where, p is a factor of constant and q is the factor of leading coefficient.
We have,

Here, the constant term is 10 and the leading coefficient is 4.
Factors of constant term 10 are ±1, ±2, ±5, ±10.
Factors of leading term 4 are ±1, ±2, ±4.
Using rational root theorem, the possible rational roots are

Therefore, the correct options are A, C, D, F.
Step-by-step explanation:
A rectangle: P=2l+2w or P=2(l+w) (same formula written differently)
50=2x17+2w
50=34+2w
2w=50-34
2w=16
w=16÷2=8
Since it says twice as wide then we will multiply w with 2
2xW
2x8=16 which is the width of the 2nd rectangle
Hope this helps :)