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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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Translate the sentence into an equation: <br> the sum of a number divided by 7 and 9 equals 3
ludmilkaskok [199]
X/7 + 9 = 3
a number: x
a number divided by 7: x/7
sum of number divided by 7 and 9: x/7 + 9 (and means plus)
equals 3: x/7 + 9 = 3
3 0
3 years ago
7. If the longer leg of a right triangle is twice as long as the shorter leg, what is the ratio of
kicyunya [14]

Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.

Step-by-step explanation:

I suppose that the "legs" of a triangle rectangle are the cathati.

if L is the length of the shorter leg, 2*L is the length of the longest leg.

Now you can remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

Then there is one acute angle calculated as:

Tan(θ)  =  (shorter leg)/(longer leg)

Tan(φ) = (longer leg)/(shorter leg)

And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.

Then we need to find θ and φ.

Tan(θ) = L/(2*L)

Tan(θ) = 1/2

θ = Atan(1/2) = 26.57°

Tan(φ) = (2*L)/L

Tan(φ) = 2

φ = Atan(2) = 63.43°

Then the ratio between the larger acute angle and the smaller acute angle is:

R = (63.43°)/(26.57°) = 2.39

This means that the larger acute angle is 2.39 times the smaller acute angle.

5 0
3 years ago
Can anyone help me, i will give brainiest.
laila [671]

Answer: ∠DOB: 48°

Step-by-step explanation:

1. we need an equation first. the sum of all angles (108°, n°, 2n°) is equal to 180°. we can depict this with the equation: 108°+2n°+n°=180°

2. now we can solve for the missing variable, n.

108°+3n°=180° → subtract both sides by → 3n°=72° → divide both sides by 3 → n=24°

3. now that we know that n=24°, we can solve the value of ∠DOB. we can see that ∠DOB is 2n° which we just plug the number we got for n into the equation. 2*24=48° meaning ∠DOB is 48°

hope this heped! ♡

7 0
2 years ago
Read 2 more answers
Different shapes are drawn on cards and then the cards are placed in a bag. The number of cards for each shape is shown in the t
Verdich [7]
This question was posted almost a week ago, and I am not sure if you still need the answer, but I'll explain it.


The total number of all of the shapes were placed in the bag are equal to 100. The number comes from adding 32+20+48=100.
This is our total number and will be the denominator.
There are a total of 32 cards which have a hexagon, this number will be our numerator.

So far we have 32/100 , but this is not simplest form.

Next to reduce the fraction, the GCF must be found.

32: 1, 2, 4, 8, 32
100: :
8 0
3 years ago
Please answer i’ll give extra points
Rufina [12.5K]

Answer:

i think it might be d

Step-by-step explanation:

7 0
3 years ago
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