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3 years ago

How do you write the number 7 × 10-2 in standard form? a. 7 b. 0.0007 c. 700 d. 0.07

1 answer:

4 0

D. 0.07. the negative exponent which is two indicates the number of zeros in the standard form. and the 7 indicates the first number in the standard form

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The Garden Task

Igoryamba

If the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:

the perimeter = 24 ft
the area = 36 sq. ft
if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
if the area of the garden is doubled, the area of the new garden = 72 sq. ft

Recall:

A square has equal side lengths
Perimeter of a square = 4(side length)
Area of a square = $(side $ length)^2$

Given:

Perimeter of square (P) = $(14x - 32) $ ft$

Side length (s) = $(x + 2) $ ft$

First, let's find the value of x by creating an equation using the perimeter formula:

Perimeter of a square = 4(side length)

Plug in the values

$(14x - 32) = 4(x + 2)$

Solve for x

$14x - 32 = 4x + 8\\\\14x - 4x = 32 + 8\\\\10x = 40\\\\x = 4$

Find how much fencing would be needed (Perimeter of the fence):

Perimeter of the fence = $(14x - 32) $ ft$

Plug in the value of x

Perimeter of the fence = $14(4) - 32 = 24 $ ft$

Find the area of the garden:

Area of the garden = $(side $ length)^2$

Area = $(x + 2)^2$

Plug in the value of x

Area = $(4 + 2)^2 = 6^2 = 36 $ ft^2$

Find the perimeter if the garden size is doubled:

Perimeter of the new garden = 2 x 24 = 48 ft

Find the area if the garden size is doubled:

Perimeter of the new garden = 2 x 36 = 72 sq. ft

In summary, if the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:

the perimeter = 24 ft
the area = 36 sq. ft
if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
if the area of the garden is doubled, the area of the new garden = 72 sq. ft

Learn more here:

brainly.com/question/13511952

4 0

2 years ago

Write a multiplication expression

Andreas93 [3]

Answer:

The Tempature dropped 18 degrees Fahrenheit is 6 hours

7 0

3 years ago

What is the length of any side of equilateral triangle TUV? a. 7 b. 15 c. 20 d. 24

NikAS [45]

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6 0

3 years ago

What is the solution for the following system of equations?

rosijanka [135]

Answer:

y=2

Step-by-step explanation:

Multiply -3(2) which gives -6, -6+8=2

Thus, y=2

7 0

3 years ago

1. Part A: Use the properties of exponents to explain why 64^1/2 is called the square root of 64.

Dmitriy789 [7]

A: When you multiply two numbers, their exponents add.
So, $64^{\frac{1}{2}} * 64^{\frac{1}{2}} = 64^{\frac{1}{2} + \frac{1}{2}} = 64^{1} = 64$

Since 64^1/2 multiplied by itself is 64, then it is the square root of 64.

B: The area is irrational. 7 * √7 is irrational.

8 0

3 years ago

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