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Monica [59]
3 years ago
14

X to the 2nd power = -169 what is x

Mathematics
1 answer:
ikadub [295]3 years ago
7 0

Given:

x^2=-169

To solve for x, we need to cancel the exponent. To cancel a square, we need to square root both sides.

\sqrt{x^2}=\sqrt{-169}

The square root of 169 is 13, but since it is negative, we need to put the imaginary unit, i, in front of the answer. (i=\sqrt{-1})

Simplify.

x=13i

If you have not learned imaginary numbers or the imaginary unit yet, you could say that x=\sqrt{-169}.

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A cone has a diameter of 18 units and a slant height of 15 units. Find the volume of the cone.​
Rasek [7]

Formula for volume:

πr^2(h/3)

Diameter divided by 2 is the radius

18/2 = 9

radius: 9 units

Use pythagorean theorem to find height

x^2 + 9^2 = 15^2

225 - 81 = 144

x^2 = 144

x = 12

height: 12 units

Plug these number in the volume formula.

Thus, it should be looking as:

π9^2(12/3) = 1017.88

Answer:

1017.88 units^3

6 0
3 years ago
A picture frame measures 9 inches high and 5.4 Inches wide. It will be proportionately enlarged so the height will be 15 inches.
VARVARA [1.3K]

Answer:

Width: 9 inches

Step-by-step explanation:

1. We can see that the height increased by 6 inches, provided a difference of 15 and 9. If the question states that the frame's dimensions were proportionately enlarged, perhaps the height's enlargment could be benificial

2. If we were to take a ratio where the increased height is over the previous height (height enlargment/prior height) that would be 6/9, or in other words, can be simplified to be 2/3

3. We can see that if the width were to be enlarged, we might be able to determine how much it should be enlarged through a proportionality, provided <em>the frame's dimensions are proportionately enlarged.</em> Now if x ⇒ the width enlargment: 2 / 3 = x / 5.4

4. Through cross multiplication, let us solve for x:

2 * 5.4 = 3 * x,

10.8 = 3 * x,

x = <em>3.6 inches by which the width should be enlarged</em>

5. If we are to determine the new width of the frame after enlargment, add <em>5.4 to 3.6 ⇒ the width of the frame ⇒ 9 inches</em>

8 0
3 years ago
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for a two week period, john and amanda had the following transactions occur to their cheking account: a deposit of $1,644.50;che
QveST [7]

a deposit of $1,644.50;checks written for $190, $45, and $7.50;  and debit card transactions for $30, $5.59, $7.20, and $21.30.

amount deposited = 1644.50

debit card transactions for $30, $5.59, $7.20, and $21.30.

We add all the debit card transactions

30 + 5.59 + 7.20 + 21.30 =64.09

checks written for $190, $45, and $7.50

Add all the check written amounts

190 + 45 + 7.50=242.5

To find ending balance , we subtract the debit card transactions and check written from the deposit amount

1644.50 - 64.09 - 242.5 = 1337.91

$1,337.91 is the ending balance for this time frame

8 0
3 years ago
Explain why the following statement are equivalent 4(x+y)=4x+4y
LekaFEV [45]
It is equivalent because of the distributive property. If you multiply 4 by x and y, you get 4x and 4y.

4x + 4y = 4x + 4y
7 0
3 years ago
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Which one of the following formulas will find the sum of interior angles of a polygon with n sides
Travka [436]
Every added angle to a polygon adds another 180 degrees to the sum of the angles. The starting point is 180 degrees for a triangle (n=3). So the general formula is 180*(n-2). Fill in n=3 to test if 180 comes out, it does!!
3 0
3 years ago
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