MATHEMATICS MIDDLE SCHOOL

Which of the following expressions is equal to 1?a. 5^0 x 6^-3 x 6^3 x 5^1
b. 5^2 x 6^-2 x 6^3 x 5^-3
c. 5^2 x 5^-2 x 6^0 x 6^2
d. 5^-1 x 6^5 x 6^-5 x 5

Answers

Answer 1
Answer: I think it's d okay maybe

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A 5-foot ladder is leaning against a 4-foot wall. How far must the bottom of the ladder be from the base of the wall so that the top of the ladder rests on the top of the wall.

Answers

This is a classic example of a right angled triangle where the ladder is the hypotenuse and the wall and the base of the wall are the other 2 sides of the triangle.
  
Since it is a right angled triangle, Pythagorean theorem will be applied to it. 

So, we use the formula - 
hypotenuse^2 = side1^2 + side2^2

Here, hypotenuse (ladder) = 5 feet, side1 (wall) = 4 feet, side2 (base of the wall) = unknown.

So, we have, 5^2 = 4 ^2 + side2^2
==> side2^2 = 5^2 - 4^2 
==> side2^2 = 25 - 16
==> side2^2 = 9
==> side2 = square root (9)
==> side2 = 3

So, the final answer is --> the bottom of the ladder is 3 foot away from the base of the wall.
A right angled triangle is formed here.
By Pythagoras theorem,
H² = B² + L²
where L is the altitude (wall), B is the base (ground) and H is the hypotenuse (ladder).
⇒ 5² = B² + 4²
⇒ 25 = B² + 16
⇒ B² = 25 - 16 = 9
⇒ B = 3
The bottom of the ladder must be 3 feet away from the base of the wall.

Find the lateral area of the regular prism with height h, if the base of the prism is: Equilateral triangle with the side 4 cm and h=2.5 cm

Answers

Equilateral triangle with the side 4 cm and h=2.5 cm

In equilateral triangle all sides are equal

so all sides are equal in the base of the prism

lateral area of the prism = Perimeter of the base * height

Perimeter of the base equilateral triangle = side + side + side

lateral area of the prism =(side + side + side) * height

= (4+4+4) * 2.5

= 30 cm^2

lateral area of the prism = 30 cm^2

Answer:

30 cm^2

Step-by-step explanation:

What is the cube answer to 24

Answers

Do you mean cube root because the cube root of 24 is 2.88 and other repeating decimals
it would be 2.88 because the cube root 

Jenelle sells pillows for a sale she marked him down 5% right to ask prescient that represent the sale price of pillows if the original price of a pillow is 15 what is the sale price

Answers

14.25.
If she marked them down by 5% people still have to pay 95% of the price. So you do 15*.95=14.25

\text{We're trying to find the cost of the pillow after the markdown}\n\n\text{We know that the original cost of a pillow is \$15}\n\n\text{We also know that the customer was marked 5\% down from the}\n\text{original cost}\n\n\text{To find the cost, multiply 15 by 0.05 and subtract}\n\n15*0.05=0.75\n\n15-0.75 = 14.25\n\n\boxed{\$14.25}

Artie uses 1 1/3 yards of rope to make the bottom of his hammock stronger. He also uses 10 inches of the rope to make each of 4 separate sections of the hammock stronger. How much rope, in yards and in inches, does Artie use in all? Draw a diagram. Explain how the diagram helps solve the problem.

Answers

3 2/3 would be yards and inches would be...10 divided by 4

Answer:

Step-by-step explanation:

Convert fractions to yards and inches. 1 1/3 yards. He uses 10 inches. How do convert to yards and inches to fractions?

Tricia wants to create a path using pebbles. She has 8 bags of pebbles and each bag covers an area of about 6 square feet. If she wants to make the path 2 feet wide, about how long can she make the path?

Answers

If she wants to make the path 2 feet wide, she can make 24 feet pathlength.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Number of bags of pebbles = 8 _______(1)

Area covered by each bag = 6 ft²

This can be assumed as,

Length = 3 ______(2)

Width = 2

Area = 3 x 2 = 6 ft²

Now,

From (1) and (2)

1 bag makes a 3 feet length

so,

1 bag = 3 feet

8 bags = 24 feet

Thus,

If she wants to make the path 2 feet wide, she can make 24 feet pathlength.

Learn more about rectangles here:

brainly.com/question/15019502

#SPJ2
24 feet long
8*6=48
48/2=24
so...
your answer is 24 feet long

Hope this helps

P.S. can you mark this a  brainliest answer plz
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