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.
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Answer:
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%.
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.
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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Answer:
4 18/100
Step-by-step explanation
B. 21 cubic inches
C. 90 cubic inches
D. 126 cubic inches
HELP ASAP
ITS 126 CUBIC INCHES
Step-by-step explanation:
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.
Learn more about Arithmetic sequence here:
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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
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°
2y-4x=7 is the equation are parallel show break down