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ASHA 777 [7]
3 years ago
13

What are the perimeter and area of a rectangle with a length of 20in and a with of 15in?

Mathematics
1 answer:
Shtirlitz [24]3 years ago
8 0
Perimeter - 70 square units 
Area - 300 cm squared 
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If money in a savings account earned 8% interest per annum, how much nterest would be earned on $150.00 over three years?
Pani-rosa [81]

Answer:

$36

Step-by-step explanation:

Given :

Interest rate, r = 8% = 0.08

Principal, P = 150

Time, t = 3 years

Simple interest = (principal * rate * time)

Simple interest = (150 * 0.08 * 3)

Simple interest = $36

7 0
3 years ago
For which value of a does the following system of equations have no solution? -x+6y=7 , -5x+10ay=32
dlinn [17]

Remark

If the lines are parallel, there are no solutions to the system of equations. Start with the equation you know the most about.

x + 6y = 7                Subtract x from both sides

x - x + 6y = 7 - x      Combine

6y =  - x + 7             Switch and divide by 6

y = -x / 6 + 7/6

The general equation for a line is y = mx + b where m is the slope of the line.

m = - 1/6

================

Now look at the second equation

10ay - 5x = 32               Add 5x to both sides

10ay = 5x + 32              Divide by 10a

y = (5/10a)x + 32/(10a)  

===============

Now you must make

5/10a = - 1/6                     Cross Multiply

5* 6 = - 10a * 1

30 = - 10a                        Divide by - 10

a = 30 / - 10

a = - 3

So these two equations will have no solution when a = - 3



8 0
3 years ago
Prove that the diagonals of a rectangle bisect each other. the midpoint of is _____
Deffense [45]
In this attached picture, we can prove that triangles AOB and COD are congruent. ∠CDO and ∠ABO are equal because they are alternate angles. Similarly, ∠OAB and ∠OCD are equal because they are alternate angles, as well. We have a rectangle and in the rectangle, opposite sides are equal; AB = CD. Then, because of Angle-SIde-Angle principle, we can say that triangles AOB and COD are equal. If triangles are congruent, then OD = OB and OC = AO. Applying congruency to the triangles ACD and BCD, we can see that these triangles are also congruent. It means that the diagonals are equal. Since, OD = OB and OC = AO, it proves that the point O simultaneously is the midpoint and intersection point for the diagonals. 

8 0
3 years ago
A new species of fish is released into a lake, and the fish multiply quickly. The growth of their population is modeled by the e
Rainbow [258]

Answer:

The answer is A

Step-by-step explanation:

So b is equal to a positive unknown base. With the other variables as unknown the first week is equal to 7, and the next week is equal to 14, and as t increases, so will the population.

5 0
3 years ago
Miranda is selling ice cream at the park to help raise money for the animal shelter. The amount of money she raises for the shel
luda_lava [24]

Answer:

The question is lacking the detail of the price of the ice cream cones.

Assuming the ice cream cones cost $2 each then she would have to sell;

= 250/2

= 125 ice cream cones

<em>If she sells 125 ice cream cones, she will be able to raise $250 if the cones are sold at $2 each. </em>

8 0
3 years ago
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