The mayor is trying to decide if she wants a triangularsitting area or a parallelogram sitting area. The formulas
for area of a triangle and area of a parallelogram are
similar. Describe how to calculate the area of each shape
and how the area of a triangle is related to that of a
parallelogram.

Answers

Answer 1
Answer:

The area of a triangle is half of that of a parallelogram with the same base and height.

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

The area of a triangle can be calculated using the formula:

A = (1/2) × b × h

where "b" is the base of the triangle and "h" is its height.

The area of a parallelogram can be calculated using the formula:

A = b × h
Where "b" is the base of the parallelogram and "h" is its height.

This relationship between the height of a parallelogram and a triangle with an equal area can be represented as follows:

Area of parallelogram = 2 * Area of triangle

So, the area of a triangle is half of that of a parallelogram with the same base and height.

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Answer 2
Answer:

Answer:

The formula for the area of a parallelogram is A = bh, and the formula for area of a triangle is A = 1/2bh. Since a triangle is half of the area of a parallelogram with the same base and height, the only difference in the formula is 1/2.

Step-by-step explanation:


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Two rectangular prisms have the same volume. The area of the base of the blueprism is 2 square units. The area of the base of the red prism is one third that
of the blue prism. Which statement is true?

a)The height of the red prism is one-third the height of the blue prism.
b)The height of the red prism is the same as the height of the blue prism.
c)The height of the red prism is six times the height of the blue prism.
d)The height of the red prism is three times the height of the blue prism.

Answers

Answer:

d) the height of red prism is three times the height of the blue prism.

Step-by-step explanation:

i) the volume of a rectangular prism is given by area of base * height.

ii) volume of the blue prism is = (base of blue prism) * (height of blue prism)

iii) volume of red prism is = (base of red prism) * ( height of the red prism)

               = (1)/(3)* ( base of blue prism) \height*  ( height of red prism)

iv) it is also given that

   volume of blue prism = volume of red prism

   ⇒    (base of blue prism) * (height of blue prism) = (base of red prism)* (height of red prism)

⇒(base of blue prism) * (height of blue prism) = (1)/(3)* ( base of blue prism)* (height of red prism)

⇒ (height of blue prism) = (1)/(3)*  (height of red prism)

∴ height of red prism = 3 * height of blue prism

Therefore the correct option is

d) the height of red prism is three times the height of the blue prism.

Two students went to the schools clinic with fevers Isabell had a temperature of 103.78 and Bryan had a temperature that was 2.36 less what was Ryan’s temperature?A) 101.39
B) 106.17
C) 103.78
D) 108.57

Answers

Answer:

1)  The temperature of Bryan  is 101.39°

Step-by-step explanation:

Here, the Temperature of Isabell is given =   103.78 degrees

Now, the temperature  of Bryan = Iaabell's Tempt.  - 2.36

So, temperature  of Bryan  =   (103.78  - 2.36)  degrees

                                              =  101.4  degree

Hence, the temperature of Bryan =    101.4  degree

So, the most appropriate option is 101.39°

Find the unit rate and use it to write an equation relating the two quantities f-$150 for 50 T-shirts
-$62 to rent 14 video games
-18 tablespoons of sugar in 3 glasses of Coca Cola.

Plz help !!!!! I'm desperate! My teachers won't help and I'm failing math! Plz help?

Answers

To find the unit rate for the T-shirts: you divide the $150 by the number of T-shirts. 150/50 = 3 50/50 = 1 Therefore, one T-shirt = $3 Do the same with the rest: $3/shirt $4.43/video game 6 tablespoons of sugar/glass of cocoa cola Hope that helps! P.S. I don't know what you mean when you say to write an equation but hopefully you can still figure it out!

Three measurements with different units equal to 5m

Answers

Well, there are

100 cm per meter
and
1000 mm per meter

so how about...

100cm+1000mm+3m = 5m

The sum of two numbers is 45 and their product is 500

Answers

If the sum of two numbers is 45 and their product is 500 the numbers are  25 and 20 respectively.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, The two numbers are a and b.

Given, a + b = 45...(1) and ab = 500...(2)

(a + b)² = a² + 2ab + b².

2025 = a² + b² + 1000.

a² + b² = 1025.

Now,

(a - b)² = a² + b² - 2ab.

(a - b)² = 1025 - 1000.

(a - b)² = 25.

(a - b) = 5....(3)

Now, Adding eqn(1) and eqn(2) we get,

2a = 50.

a = 25 and hence b = 20.

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The answers are: 20 and 25. 

What is 480 increased by 25%.
what is the new number?

Answers

The new number is 600.How do we get 600? Here’s how:
 1. First, we have to get the 25% of 480.
      Multiply 480to 25%.
                   480x 25%= n
Change 25% to decimal form.
                   25/100(as per value of % symbol)
                   25% is 0.25So, 480 x 25% = n is:
                 480x 0.25 = 120
  2.  Add 25% of 480 (120)and 480.
                480 + 120 =600
 Therefore, when 480 is increased by 25%, it is 600.  


480 * 25%480 * 0.25480 * 0.25 = 120480 + 120 = 600.480 increased by 25% is 600