What quadrilaterals have opposite sides that are parallel

Answers

Answer 1

Answer:

Answer: Parallelogram

We need two sets of opposite parallel sides to have a parallelogram. If there's only one pair of opposite parallel sides, and the other pair not parallel, then we have a trapezoid.

A rectangle is an example of a parallelogram. All rectangles are parallelograms. Not all parallelograms are rectangles.

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Find the balance in the account. $2,500 principal earning 4%, compounded quarterly, after 4 yearsA. $40,000.00

B. $41,600.00

C. $2,924.65

D. $2,931.45

Answers

Answer:

The balance in the account is $2931.45 .

Option (D) is correct.

Step-by-step explanation:

Formula

$Amount = P(1 +(r)/(4))^(4t)$

Where P is the principle , r s the rate of interest in the decimal form and t is the time in years .

As given

The account. $2,500 principal earning 4%, compounded quarterly, after 4 years.

P = $2500

4% is written in the decimal form

$= (4)/(100)$

= 0.04

r = 0.04

t = 4 yeas

Put all the values in the formula

$Amount = 2500(1 +(0.04)/(4))^(4* 4)$

$Amount = 2500(1 +(0.04)/(4))^(16)$

$Amount = 2500(1 +0.01)^(16)$

$Amount = 2500(1.01)^(16)$

$Amount = 2500* 1.17258$

Amount = $2931.45

Therefore the balance in the account is $2931.45 .

Option (D) is correct.

Hello there,

A(4) = 2500(1.01)^16
----
A(4) = 2500*1.1726
----
A(4) = $2931.45

Hope this helps!

The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 3 feet. Approximately, how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth. 7.1 square feet
9.4 square feet
18.8 square feet
28.3 square feet

Answers

Answer:

7.1 square feet

Step-by-step explanation:

Since the diameter of a circle is twice the radius, the radius of each circle is 3/2=1.5. The area of a circle is $\pi r^2=\pi \cdot 1.5^2=2.25\pi \approx 7.1$ . Hope this helps!

Answer:

18.8

Step-by-step explanation:

A cylinder and a cone start with the same radius and height. The radius of the cone is then tripled, and the height of the cone is cut in half. The radius of the cylinder stays the same, but the height of the cylinder is doubled. Which change produces a greater increase in volume (i.e., which figure’s volume increases by a larger factor)? Justify your answer. Write “pi” for ^ and “r^2” for r squared

Answers

Answer:

Change produced in cone is greater than change produced in cylinder.

Step-by-step explanation:

Given : A cylinder and a cone start with the same radius and height.

We have to find which change produces a greater increase in volume.

We know Volume of cylinder = $\pi r^2h$

and Volume of cone = $(1)/(3)\pi r^2h$

Where r is radius and h is height.

Let r' and h' denotes new radius and new height

Consider Cylinder first ,

The radius of the cylinder stays the same, but the height of the cylinder is doubled.

that is r' = r and h' = 2h

Then Volume of new cylinder becomes,

Volume of cylinder = $\pi (r')^2h'=2\pi r^2h$

$Change\ produced = (new-original)/(original)$

that is

$Change\ produced\ in\ cylinder = (2\pi r^2h-\pi r^2h)/(\pi r^2h)=1$

Now, Consider Cone, we have,

The radius of the cone is then tripled, and the height of the cone is cut in half.

r' = 3r and h' = $(h)/(2)$

Thus, The volume of new cone becomes,

Volume of cone = $(1)/(3)\pi (r')^2h'=(1)/(3)\pi (3r)^2(h)/(2)$

$Change\ produced = (new-original)/(original)$

that is

$Change\ produced\ in\ cone =((1)/(3)\pi (3r)^2(h)/(2)-(1)/(3)\pi r^2h)/((1)/(3)\pi r^2h) =(7)/(2)=3.5$

Thus, Change produced in cone is greater than change produced in cylinder.

Cone:
Original cone = (1/3)π(h)r^2
Changed cone = (1/3)π(h/2)(3r)^2
= (1/2)(1/3)π(h)9r^2
= (9/2) * Original cone
=4.5 * Original cone

Cylinder:
Original cylinder = π(h)r^2
Changed cylinder = π(2h)r^2
=2 * Original cylinder

Therefore the cone is the greatest relative increase in volume.

Kelly works in the clothing store where she earns a 20% commission on the clothes she sells. Last Saturday she sold $500 in merchandise. what is her commission for Saturday?

Answers

her commission in saturday is 20%*500 / 0.2*500=$100

Is .04 repeating a irrational number?

Answers

.04 repeating is a rational number.

A irrational number has a non-terminating (no end) and non-repeating decimals, meaning numbers after the decimals do not end and do not repeat.

What is 138% of 250?

Answers

345. (138/100 = x/250)

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