Answer:
The volume of the cube is;
Step-by-step explanation:
The parameters of the prism are;
The number of cubes used to fill the prism, n = 70 cubes
The side length of each cube, s = 1/2 unit
The volume of the cube, V = n × s³
∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = = 8.75 cube unit
The value of the tangent of an angle is the ratio (opposite side) / (adjacent side).
Here you see that the opposite side (opposite to Angle B) is of length 5 and the adj. side has length 12.
Thus, the tan of Angle B is 5/12. (answer)
-2.77x - 11.4. Is the answer to your question
Answer:
40 feet
Step-by-step explanation:
We are given a right isosceles triangle having lengths of two sides 12 feet and 16 feet.
<em>Since, the triangle is an isosceles triangle i.e. two sides of the triangle are equal.</em>
That is, the three sides of the triangle are 12 feet, 12 feet and 16 feet.
We know that, Perimeter of a triangle = Sum of the sides
Thus, Perimeter of the given triangle = 12 + 12 + 16 = 24 + 16 = 40 feet.
Hence, the total length of the fencing needed is 40 feet.
Answer:
<h2>
x²+7x-2 = 0</h2>
Step-by-step explanation:
The general form of a quadratic equation with roots a and b is expressed as shown;
x²-(sum of root) x + (product of roots) = 0
x² - (a+b)x + ab = 0 ... 1
Given the sum of roots a+b = -7
Product of roots ab = -2
Substituting this values in equation 1 above wil give;
x²-(-7)x+(-2) = 0
x²+7x-2 = 0
The resulting quadratic polynomial is x²+7x-2 = 0
