To answer this, you will find the sum of the bases by using the area of a trapezoid formula:
A = 1/2 x h x (b1 + b2) - You will represent the area of the 2 bases as x, because it says the sum of the bases so this can be
written as 1 term, x
69.6 = 1/2 x 8.7 x (x); solve for x
69.6 = 4.35x; divide both sides by 4.35
x = 16 in.
If 16 inches is the sum of the 2 bases and the sum of the legs, than you will double this answer to find the perimeter.
16 in x 2 = 32 inches
The perimeter is 32 inches.
Answer:
22.38 g of silicone-32 will be present in 300 years.
Step-by-step explanation:
A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

where,
= quantity of the substance remaining
= initial quantity of the substance
= time elapsed
= half life of the substance
From the information given we know:
- The initial quantity of silicone-32 is 30 g.
- The time elapsed is 300 years.
- The half life of silicone-32 is 710 years.
So, to find the quantity of silicone-32 remaining we apply the above equation

22.38 g of silicone-32 will be present in 300 years.
Eight *(a number) plus 5*(another number) is -13.
translates to:
8(x) + 5(y) = -13
The sum of (the number) and (the other number) is 1.
translates to:
(x) + (y) = 1
We have a system of two equations involving two unknowns: x and y.

We can easily solve the system using Substitution or Elimination. Let's use Elimination this time.
We'll multiply the second equation by -8 so that the x's match up.

When we add the equations together, the x's will fall out of the equation, summing to zero. The 5y and -8y will sum to -3y and the right hand side will sum to -21.

Divide by -3,

Plug back into one of your original equations to find the value of x,

Subtract 7,
Answer:
5.7
Step-by-step explanation:
<u>unrelated</u>, I love how peter is open about buying makeup. i feel as if the gender roles are garbage. #YasQueen #GoPeter #PeterIsCool #MakeupCanBeForBoysToo <3
(also peter could totally be a girl and I am misgendered a person)
Answer:
Distance between the points A and B is 15.52 units.
Step-by-step explanation:
It has been given in the question that an airplane flies along a straight line from City A to City B.
Map has been laid out in the (x, y) coordinate plane and the coordinates of these cities are A(20, 14) and B(5, 10).
Distance between two points A'(x, y) and B'(x', y') is represented by the formula,
d = 
So we plug in the values of (x, y) and (x', y') in the formula,
d = 
d = 
d = 
d = 15.52
Therefore, distance between the points A and B is 15.52 units.