MATHEMATICS COLLEGE

Is a quadrilateral in which each side is parallel to the side oppositeA Rhombo
B. Rectangle
C. Trapezium
D. Parallelogram​

Answers

Answer 1
Answer:

Answer:

parallelogram

Step-by-step explanation:

parallelograms are parallel.

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A 46- inch piece of steel is cut into three pieces so that the second piece is twice as long ad the first piece , and the third piece is one inch more than six times the length of the first piece. Find the lengths of the pieces.

Answers

Hope this helps you.

Final answer:

The first piece is 5 inches long, the second piece is 10 inches long, and the third piece is 31 inches long.

Explanation:

The problem involves a piece of steel that is 46 inches long and it is cut into three pieces. The wording of the problem gives us equations we can use to solve for lengths of the pieces. We're told:

  • The second piece is twice as long as the first piece.
  • The third piece is one inch more than six times the length of the first piece.

We can let x represent the length of the first piece. Then the length of the second piece is 2x, and the length of the third piece is 6x+1.

Because the three pieces together form the original 46-inch piece, we can set up this equation: x + 2x + 6x + 1 = 46, which simplify to 9x +1 = 46. Solving for x gives x = 5. Therefore, the lengths of the pieces are 5 inches, 10 inches (2 * 5), and 31 inches (6 * 5 + 1).

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The area of the circular base of a cylinder is 36 square units. The height of the cylinder is 2 units. What is the lateral area of the cylinder? Express the answer in terms of n.

Answers

Answer:

The lateral area of the cylinder is 24 \pi\ units^(2)

Step-by-step explanation:

we know that

The lateral area of the cylinder is equal to

LA=2\pi rh

step 1

Find the radius of the base of the cylinder

The area of the base is equal to

A=\pi r^(2)

we have

A=36 \pi\ units^(2)

so

substitute and solve for r

36 \pi=\pi r^(2)

Simplify

r=6\ units

step 2

Find the lateral area

we have

r=6\ units

h=2\ units

substitute the values

LA=2\pi (6)(2)=24 \pi\ units^(2)

Answer: 24 square units

Step-by-step explanation: just took the quiz it’s correct :D !

In this equation what do i have to change to make x equal 0 instead of 1/4
2√x+4-2=3

Answers

To solve for x:
- add 2 to both sides
2/x+4=5
- subtract 4 from both sides
2/x=1
- divide both sides by 2
/x= 1/2
- square both sides
x = 1/4

How much must you deposit in an account that pays 6.25% interest, compounded annually, to have a balance of $700 after two years? = $

Answers

The compound interest is applied to the remaining balance in the account

each subsequent year.

  • The amount that must be deposited is approximately $620.07

Reasons:

The given compound interest rate, r = 6.25% = 0.0625

The balance in the account after 2 years, A = $700

Required:

The required deposit, P, that gives the given account balance after 2 years.

Solution:

The following is the compound interest formula to use;

  • A = \mathbf{P * \left(1+r \right)^( t)}

Where;

t = 2 years

We get;

\displaystyle P = \mathbf{ (A)/((1 + r)^t)}

Which gives;

\displaystyle P = (700)/((1 + 0.0625)^2) \approx \mathbf{620.07}

  • The amount that must be deposited to give $700 after 2 years is P ≈ $620.07

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Find the area of the combined figure. A figure is made up of a triangle and a rectangle. The triangle has a height of 8.5 inches and a base of 10 inches. The rectangle has dimensions of 9 inches x 10 inches. What is the area of the figure? a 102.5 square inches b 132.5 square inches C 110.2 square inches d 140.2 square inches​

Answers

Answer:

132.5

Step-by-step explanation:

for the triangle 8.5 * 10 / 2 = 42.5

the rectangle 9 * 10 = 90

42.5 + 90 = 132.5

PLEASE HELP

How do I solve 7,9, and 10 also what are the answers?

Answers

7.
360 degrees- the other angles = x
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