28 miles
increasing by 40% = original + increase = 100 + 40 = 140% = 1.4
multiplying 20 by 1.4 gives total he will run
miles run = 1.4 × 20 = 28
Given:
Net of a triangular prism
To find:
Which equation can be used to calculate the surface area of the triangular prism.
Solution:
Using formulas:
Area of rectangle = length × width
Area of triangle = 
Area of left triangle = 
Area of right triangle =
Area of bottom = 5 × 10
Area of Middle = 12 × 10
Area of top = 13 × 10
Surface area of triangular prism:
Surface area = Area of left triangle + Area of right triangle + Area of bottom + Area of middle + Area of top
Replace multiplication by brackets.
The equation can be used to calculate surface area of triangular prism is
.
The answer is -a + b = 0
If she wants to solve <span>a system of linear equations by elimination and if one equation is unknown, one of the solutions in the unknown equation must be negative:
Known equation: a + b = 4
Unknown equation: -a + b = ?
We know that a = 2 and be = 2, thus:
</span>Unknown equation: -2 + 2 = 0
The general form of the equation is -a + b = 0
Let's check it out:
Known equation: a + b = 4
Unknown equation: -a + b = 0
________________________
Add them up: 2b = 4
b = 4/2 = 2
a + b = 4
a = 4 - b
a = 4 - 2
a = 2
So, the second equation is correct.
Answer:
k = 18
when x = 4, y = 3, z = -24
Step-by-step explanation:
x = k * y * z
Find k when x = 4, y = 3, and z = 24
4 = k * 3 * 24
4 = k * 72
4 = 72k
k = 72/4
k = 18
find z when x = -3 and y = 4
x = k * y * z
-3 = 18 * 4 * z
-3 = 72 * z
-3 = 72z
z = 72/-3
z = -24
Answer:
sector area: 113.3
Step-by-step explanation:
