Determine the area of a cone that its volume is 238 cubic centimeters and the height is 74 centimeters.

Answers

Answer 1
Answer:

Answer:

1.75 cm

Step-by-step explanation:

The volume of a cone is 238  with height 74. To find the radius, substitute and solve for r.

[tex]V= (1)/(3)\pi r^2 h\n 238= (1)/(3) \pi (r^2)(74) \n 238*3= \pi (r^2)(74)\n (714)/(74\pi) = r^2\n\sqrt{(714)/(232.36) } =r\n 1.75=r[/tex].


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Lydia has money in two savings accounts. One rate is 7% and the other is 13%. If she has $300 more in the 13% account and the total interest is $252, how much is invested in each savings account?

Answers

Answer:

  • 7%: $1065
  • 13%: $1365

Step-by-step explanation:

If x represents the amount invested at 7%, then the amount invested at 13% is x+300. Lydia's total interest is ...

  0.07x +0.13(x +300) = 252

  0.20x = 213 . . . . . subtract 39

  x = 213/0.20 = 1065

Lydia has $1065 invested at 7% and $1365 invested at 13%.

Final answer:

Using the given conditions, we set up and solve an equation where x is the amount invested at a 7% rate and x + $300 is the amount at a 13% rate. After solving, we find that Lydia has $1065 in the 7% account and $1365 in the 13% account.

Explanation:

Let's assume Lydia's investment at 7% to be x and her investment at 13% to be x + $300. Since the total interest is $252, we can create an equation to solve for the values of x.

The equation will look like this:

0.07x + 0.13(x + 300) = 252

Let's solve the equation:

0.07x + 0.13x + 39 = 252

Combine like terms to get 0.2x + 39 = 252

Subtract 39 from both sides to get 0.2x = 213

Divide by 0.2 to solve for x, which gives x = 1065.

So, Lydia has $1065 in the 7% account and $1065 + $300 = $1365 in the 13% account.

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How do I write 4.18 as a mixed number​

Answers

Answer:

4 18/100

Step-by-step explanation

What is the volume of the prism shown below?A. 16 cubic inches

B. 21 cubic inches

C. 90 cubic inches

D. 126 cubic inches

HELP ASAP ​

Answers

ITS 126 CUBIC INCHES

Step-by-step explanation:

An = −7.1 − 2.1n Find a27

Answers

The 27th term of the Arithmetic sequence defined by an = -7.1 -2.1n is -63.6. This is determined by substituting n=27 into the formula.

The problem here is asking us to find the 27th term, denoted as a27, of an arithmetic sequence. The general formula for the nth term of such a sequence is an = a1 + (n-1) * d, where a1 is the first term and d is the common difference.

However, in this case, the formula given is an = −7.1 − 2.1n. Therefore, we just need to substitute n = 27 into the formula to find a27.

Following that, we have a27 = -7.1 -2.1*27. Doing the calculation, we get a27 = -63.6. Therefore, the 27th term of the sequence is -63.6.

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Answer:

An = -63.8

Step-by-step explanation:

−7.1 − 2.1n

−7.1 − 2.1(27)

-7.1 - 56.7 = -63.8

An = -63.8

Find the value of the variable and the measure of each labeled angle.

Answers

Answer:

x = 25

Measure of each angle label is 42°

Step-by-step explanation:

(x + 17)° and (3x - 33)° are the expressions of the two vertical angles formed by the intersection of two straight lines. Vertical opposite angles are congruent. Therefore:

x + 17 = 3x - 33

Solve for x. Collect like terms

17 + 33 = 3x - x

50 = 2x

Divide both sides by 2

50/2 = 2x/2

25 = x

Measure of the two angles are:

x + 17 = 25 + 17 = 42° (substitution)

3x - 33 = 3(25) - 33 = 75 - 33 = 42°

2x-1=y,
2y-4x=7 is the equation are parallel show break down

Answers

y = 2x - 1...slope here is 2 and y int is -1

2y - 4x = 7
2y = 4x + 7
y = (4/2)x + 7/2
y = 2x + 7/2...slope here is 2 and y int is 7/2

When the slopes of the lines are the same, and the y intercepts different...this means they are parallel lines