Answer
Find out the length of the base .
To prove
Formula
Perimeter of the rectangular base = 2(Length + Breadth)
As given
Olivia wants to trim a lampshade with braid.
The lampshade is shaped like a rectangular prism.
The length of the base of the lampshade is 4 inches greater than its width.
Let us assume that the width be = x
Let us assume that the Length be = x + 4
If the perimeter of the base is 54 inches,
Put in the formula
54 = 2(x + x + 4)
54 = 2 (2x + 4)
54 = 4x + 8
54 - 8 = 4x
46 = 4x
x = 11.5
Length of the base = x + 4
= 11.5 + 4
= 15.5 inches
Therefore the length of the base is 15.5 inches .
Mr Stephens will need to haul in 58.4 tons o move all of the rocks
Answer:
v=-5 and v=3
Step-by-step explanation:
We are given that
We have to find two solutions of quadratic equation.
Using addition property of equality
(By using factorization method)
Substitute each factor equal to 0
and
and
Hence, two solutions of quadratic equation are
v=-5 and v=3
Answer:
x = 15
Step-by-step explanation:
FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.
Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.
x + 8x + 3x = 180°
12x = 180°
12x/12 = 180/12
x = 15
Since the triangle is equilateral, all its angles are equal to 60°
AO is the bisector⇒∠OAD = 30°
AO AO is the hypotenuse, ∠OAD = 30°⇒
OD=10:2=5ft
By the Pythagorean theorem
Answer: A) ft²
P.S. Hello from Russia and sorry for my bad english :^)