Answer: 
Step-by-step explanation:
You need to remember the following:
1. The area of a rectangle can be calculated with the following formula:

Where "l" is the length and "w" is the width.
2. The area of a triangle can be calculated with the following formula:

Where "b" is the base and "h" is the height.
Use those formulas to find the area of each face.
<u> Area of the rectangle</u>

<u>Area of two triangles</u>
There are two equal triangles. Each one has a base of 10 inches and a height of 5 inches. Then, their areas are equal:

The areas of the other two triangles (which are equal) are:

Adding the areas of the faces, you get that the surface area of the rectangular pyramid is:

Answer:

Step-by-step explanation:
Let be
, which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification:
1)
Given.
2)
Distributive and associative properties.
3)
/Result
Answer:
6.5 cm
Step-by-step explanation:
Here, <em>the tangent line squared is equal to the secant line times the secant line outside the circle</em>.
That is <em>20.2² = 14.7 * (14.7 + 2x)</em> --> it is 2x because the secant goes through <em>the whole circle</em>.
Simplify: <em>408.04 = 216.09 + 29.4x</em>
Subtract: <em>191.95 = 29.4x</em>
Divide: <em>x = 6.528911565</em> ≈ 6.5 cm
Answer: 40
Step-by-step explanation: first make the ratio into a fraction, 2/3
then make 24 into a fraction with the numerator as a variable and the denominator as 24, x/24
then cross multiply 2 and 24.
2x24=48
then divide 48 by 3, 16.
last add the number of lollipops to 16 and the answer is 40.
Answer:
<u>-1 and -5</u>
Step-by-step explanation:
m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.
The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.
(m + 1) = 0
(-1 + 1) = 0
This means that one of the values for m is -1.
(m + 5) = 0
(-5 + 5) = 0
This means that one of the values for m is -5.
<u>Moreover, the value of m by factoring is -1 and -5</u>