Answer:
1 - c
2 - A
Step-by-step explanation:
Hey There!
So for the first one we are given the dimensions of a rectangular prism and they want us to find the volume
Remember to find the volume we use the equation
V = length x width x height
so we just plug in the values
v = 2.6 x 2.1 x 3.9 = 21.294
the closest is 20 so C is your answer
For the second one we are given a triangular prism
and they want us to find the volume

b = base (10.3)
l = length (4)
h = height (7)
7x4=28
28x10.3=288.4
then we divide by 2
288.4/2=144.2
so your selected answer is correct
Answer:
Step-by-step explanation:
a1=2/3
sequence is 2/3,3/4,4/5,...
for numerator a1=2
d=3-2=1
numerator of nth term=a1+(n-1)d=2+(n-1)×1=2+n-1=n+1
denominator = 1 more than numerator=n+1+1=n+2
so an=(n+1)/(n+2)
or for denominator a1=3,d=4-3=1
denominator of nth term=3+(n-1)×1=3+n-1=n+2
an=(n+1)/(n+2)
Answer:
the second option is the correct one
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
To calculate m use the slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)
m =
=
= 
Use either of the 2 points as (a, b)
using (- 4, - 1), then
y- (- 1) =
(x - (- 4)), that is
y + 1 =
(x + 4)
5pi/6 r^2 = 15pi
R^2 = 18
R= 3sqrt(3)
Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).
= P(x) divided by 
Step 1: Find a
To find a we will have to convert (x+2) into (x - a) form
i.e. (x+2) = (x - (-2))
therefore, a = -2
Step 2: Substitute value of a in P(x),
By substitution we get,

= 
= 
=
= Remainder
Hence, Remainder is 55.