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CAN SOMEONE PLEASE HELP ME ON THESE?

1.) A triangle has a base of 2³ units and a height of 2 to the power of 4. What is the area of the triangle? Write your answer as a power of 2.

2.) A rectangle has a length of 5³ units and a width of 5² units. What is the area of the rectangle? Write your answer as a power of 5.

3.) A circle has a radius of 5 to the 4th power. What is the area of the circle? Write your answer using a power of 5.

4.) A triangle has a base of 3² units and a height of 2³ units. Write two equivalent expressions for the area of the triangle using exponents.

5.) A rectangle has a length of x² units and a width of y to the 5th power units. A triangle has a base of y to the 5th power unit and a height of x to the fourth power unit. Jenna mistakenly says that the areas of the rectangle and triangle are equal. What was likely Jenna's error?

Respuesta :

adioabiola

Here, we are required to determine different parameters for several shapes.

  1. Area = 2⁶
  2. Area = 5²
  3. Area = (22/7) × 5⁸
  4. Area = 2² × 3².
  5. or Area = 4 × 3²
  6. Jenna's likely error could be in both the (1/2) and the x⁴, as opposed to the x² in the area of the rectangle.

For case 1:

  • Area of a triangle = (1/2) × b × h
  • Area = (1/2) × 2³ × 2⁴
  • Therefore, by indices Area = 2⁶.

For case 2:

  • Area of a rectangle = l × w
  • Area = 5³ × 5²
  • Therefore, by indices Area = 5⁵.

For case 3:

  • Area of a circle = π × r²
  • where π = (22/7) and r = 5⁴.
  • Area of a circle = (22/7) × (5⁴)²
  • By indices; Area = (22/7) × 5⁸

For case 4:

  • Area of a triangle = (1/2) × b × h
  • Area = (1/2) × 3² × 2³
  • Therefore, by indices Area = 2² × 3².
  • or Area = 4 × 3²

For case 5:

  • Area of rectangle = l × w
  • Area of rectangle = x² × y⁵
  • Area of rectangle = x²y⁵

  • Area of triangle = 1/2 × b ×h
  • Area of triangle = 1/2 × x⁴ × y⁵
  • Area of triangle = (1/2)x⁴y⁵

Jenna's likely error is in both the (1/2) and the x⁴, as opposed to the x² in the area of the rectangle.

Read more:

https://brainly.com/question/16982997

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