Answer:
x = 7
Step-by-step explanation:
Given
4x - 2(x - 2) = - 4 + 5x - 13 ← distribute left side and simplify
4x - 2x + 4 = 5x - 17
2x + 4 = 5x - 17 ( subtract 5x from both sides )
- 3x + 4 = - 17 ( subtract 4 from both sides )
- 3x = - 21 ( divide both sides by - 3 )
x = 7
By definition, the prism volume is given by:
Where,
Ab: base area
L: long
Substituting values we have:
Answer: The volume of the triangular prism is:
Standardized z score for the act result = (30 - 21.5) / 5.4 = 1.574
so for the sat ressult we have 1.574 = (X - 1498) / 316
X = 316 * 1.574 + 1498 = 1995 answer
Answer:
Surface area of the given figure = 48 cm^2
Step-by-step explanation:
Surface area is nothing area of all the sides.
We can find the area of each figure add them together.
There are two triangles with the same measures.
One rectangle with measure of 4 by 3.
Another rectangle with the measure of 5 by 3.
One square with the measure of 3.
Surface area = Area of two triangles + rectangle 1 + rectangle 2 + square
Formulas:
Area of the triangle = 1/2 base* height
Area of the rectangle = length * width
Area of the square = side x side
Applying the formula, we get
=2[1/2 (3*4)] + 4*3 + 5*3 + 3^2
= 12 + 12 + 15 + 9
Surface area of the given figure = 48 cm^2
Hope this will helpful.
Thank you.