Answer:
angles b and c should be 153° each.
Step-by-step explanation:
We know the smaller angle is 27°. The other small angle, vertical to the 27° angle is also 27° because they are vertical angles. Along the lines, two angles should form 180°. So 180-27=153°. All together the angles should be 360°. Check your answer by doing 153+153+27+27=360. therefore the missing angles are both 153°
Answer:
See explanation.
Step-by-step explanation:
An expression is a <u>set of terms that are combined using addition, subtraction, multiplication, or division.</u> The following are examples of expressions:



Note: expressions do not equal anything.
In contrast, equations are <u>expressions that equal at least one term.</u> The following are examples of equations:




Note: equations <u>do</u> equal a term, as shown in the examples.
Answer:
is the size of the square
Step-by-step explanation:
Let the side of the square cut from the cardboard be “x”
Size of the square base =
, height of the box = x
Volume of square box = Area * height =
Differentiating the above equation and equating it to zero, we get –
d/dx
d/dx
= d/dx
d/dx
On solving above equation, we get –
9514 1404 393
Answer:
- -3/4a^3b^2
- 3.2·10^-1
- -0.1a^(n+1)
Step-by-step explanation:
To find the cube root, divide all of the exponents by 3. For a cube root, the sign is unchanged.
A) ∛(-27/64a^9b^6) = -∛(3^3/4^3·a^9·b^6) = -3/4a^3b^2
__
B) 9.6×10^-8 ÷ (3×10^-7) = (9.6/3)×10^(-8-(-7)) = 3.2×10^-1
__
C) ∛(-0.001a^(3n+3)) = -∛(0.1^3·a^(3n+3)) = -0.1a^(n+1)
Answer:
(x+1) is a factor with remainder 0.
Step-by-step explanation:
We divide (x+1) into the polynomial
through long division or synthetic. We choose long division and look for what will multiply with (x+1) to make the polynomial
.

We subtract this from the original
.
This leaves
. We repeat the step above.
.
We subtract this from
. We repeat the step above.
.
We subtract this from
. We repeat the step above.
.
We subtract this from
. There is no remainder. This means (x+1) is a factor.