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Which choice can be used to confirm that a quadrilateral is a parallelogram?

C. A quadrilateral is a parallelogram if it has one pair of sides that are both congruent and parallel.

C. A quadrilateral is a parallelogram if it has one pair of sides that are both congruent and parallel.

Question

What formula is used to find the circumference of a circle?
isn't it C = 2Ï€r ?

Solution 1

Yes it is area is pie r^2

Solution 2

Yes. You are right C=2Â \pi r

Question

Solve for x if 2(5x+2)^2=48

Solution 1

2(5x + 2)Â Â² = 48

Simplify.

2{(5xÂ Ã— 5x) + (2Â Ã— 2)} = 48

Simplify.

2(25xÂ² + 4) = 48

Simplify.

50xÂ² + 8 = 48

Subtract 8 from both sides.

50xÂ² = 48 - 8

Simplify.

50xÂ² = 40

Divide both sides by 50.

xÂ² = 40/50

Simplify.

xÂ² = 4/5

Find the square root of 4 AND 5

âˆš4 = 2

âˆš5 = 2.2

So, x = 2/2.2

Simplify.

x = 1.1

~Hope I helped!~

Simplify.

2{(5xÂ Ã— 5x) + (2Â Ã— 2)} = 48

Simplify.

2(25xÂ² + 4) = 48

Simplify.

50xÂ² + 8 = 48

Subtract 8 from both sides.

50xÂ² = 48 - 8

Simplify.

50xÂ² = 40

Divide both sides by 50.

xÂ² = 40/50

Simplify.

xÂ² = 4/5

Find the square root of 4 AND 5

âˆš4 = 2

âˆš5 = 2.2

So, x = 2/2.2

Simplify.

x = 1.1

~Hope I helped!~

Solution 2

**Answer:**

It's c.

**Step-by-step explanation:**

I just took this assignment and I got it right :)

Question

Erin is taking part in a play at the community theater. The cast and crew ordered T-shirts for all the volunteers. The cost of a T-shirt is $8, and the total delivery charge is $45 per order. If the center has no more than $325 to buy T-shirts, how many T-shirts can they buy? NextReset

Solution 1

35 T-Shirts. The charge is $45 per order for service so you take $325 - $45. that gives you 280. Then divide by 8 because it is $8 per shirt. This gives you 35 T-shirts.

Question

How do I solve 4n=20? Please help

Solution 1

N=20/4

n=5

therefore 5 is your answer

n=5

therefore 5 is your answer

Question

You roll a standard number cube Find p( number greater than 1)

Solution 1

In a cube, there are six sides: just like a dice, the set of possibilities are {1, 2, 3, 4, 5, 6}. In this case, the number of sample set is 6. Hence the probability of getting a number greater than 1 is 5 that is fromÂ {1, 2, 3, 4, 5}; 5/6. The answer to this problem is 5/6.

Question

What is the common multiplier in the proportion 4072-01-01-05-00_files/i0370000.jpg?

Solution 1

Your file didn't work.

What is the common multiplier in the proportion 4072-01-01-05-00_files/i0370000.jpg?

^^^^^That's all this we can see, there's no link.

What is the common multiplier in the proportion 4072-01-01-05-00_files/i0370000.jpg?

^^^^^That's all this we can see, there's no link.

Question

Franklin deposits $3500 in an account that earns 3.5% interest compounded annually. What function equation represents the balance of the account after t years?

Solution 1

The correct answer to this question is this equation:

**f(t) = 3500Ã—(1.035)^tÂ **

The statement that says, "Franklin deposits $3500 in an account that earns 3.5% interest compounded annually" can be stated in a form of function.

3.5% --> 0.035 + 1 for 1 year

$3500 --> $3500

So the equation would be

f(t) = $3500 * 1.035^t

The statement that says, "Franklin deposits $3500 in an account that earns 3.5% interest compounded annually" can be stated in a form of function.

3.5% --> 0.035 + 1 for 1 year

$3500 --> $3500

So the equation would be

f(t) = $3500 * 1.035^t

Question

Expand and simplify:
(x+2)(x+2)

Solution 1

Use foil which is a lazy way to remember theh distributive property

goes like this

multiply

First terms

Outer terms

Inner terms

Last terms

and add them all toegethe

so

(x+2)(x+2)

First: x times x or xÂ²

Outer: x times 2 or 2x

Inner: 2 times x or 2x

Last: 2 times 2 or 4

add them toegether

xÂ²+2x+2x+4=

xÂ²+4x+4

goes like this

multiply

First terms

Outer terms

Inner terms

Last terms

and add them all toegethe

so

(x+2)(x+2)

First: x times x or xÂ²

Outer: x times 2 or 2x

Inner: 2 times x or 2x

Last: 2 times 2 or 4

add them toegether

xÂ²+2x+2x+4=

xÂ²+4x+4

Question

A ball is thrown into the air with an upward velocity of 40 ft/s. Its height h in feet after t seconds is given by the function h = âˆ’16t2+ 40t + 10. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ballâ€™s maximum height?

Solution 1

The maximum(or minimum) of a parabolic function would be it's vertex.

To find the vertex use the formula x = -b/(2a), after finding x, plug x back into the function to find y.

The function needs to be in standard form ax^2 + bx + c, so

a = -16, b = 40

x = -40/(2*-16) = 1.25

y = -16(1.25)^2 + 40(1.25) + 10

y = -25 + 50 +10

y = 35

The maximum height is the y value of the vertex. 35 feet is the answer.

To find the vertex use the formula x = -b/(2a), after finding x, plug x back into the function to find y.

The function needs to be in standard form ax^2 + bx + c, so

a = -16, b = 40

x = -40/(2*-16) = 1.25

y = -16(1.25)^2 + 40(1.25) + 10

y = -25 + 50 +10

y = 35

The maximum height is the y value of the vertex. 35 feet is the answer.

Question

conrad has a book about the outdoors, and 2/5 of the book is about camping. Conrad has read 1/3 of the section on camping. What part of the book has conrad read?

Solution 1

1/3 of the camping

1/3 of 2/5

1/3 times 2/5

2/15

read 2/15 of the book

1/3 of 2/5

1/3 times 2/5

2/15

read 2/15 of the book

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