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sweet-ann [11.9K]
3 years ago
11

Which number is not the square of a whole number A: 100

Mathematics
1 answer:
abruzzese [7]3 years ago
5 0
10^10 = 100
20^2 = 400
29^29 = 841
28^28 = 784
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A vector with magnitude 9 points in a direction 190 degrees counterclockwise from the positive x axis. Write in component form
Over [174]

Answer:

\vec{v}= \text{ or } \approx

Step-by-step explanation:

Component form of a vector is given by \vec{v}=, where i represents change in x-value and j represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector \vec{v}=, the magnitude is ||v||=\sqrt{i^2+j^2.

190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being i, one leg being j, and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.

In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

\sin 10^{\circ}=\frac{j}{9},\\j=9\sin 10^{\circ}

To find the other leg, i, we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:

\cos 10^{\circ}=\frac{i}{9},\\i=9\cos 10^{\circ}

Verify that (9\sin 10^{\circ})^2+(9\cos 10^{\circ})^2=9^2\:\checkmark

Therefore, the component form of this vector is \vec{v}=\boxed{}\approx \boxed{}

6 0
3 years ago
Solve the equation. Then check your solution. 5 /9 d = 9 /10 a. 31 / 90 c. 1/2 b. 1 31 /90 d. 50 /81
miskamm [114]

Answer:

d in (-oo:+oo)

(5/9)*d = 9/10 // - 9/10

(5/9)*d-(9/10) = 0

(5/9)*d-9/10 = 0

5/9*d-9/10 = 0 // + 9/10

5/9*d = 9/10 // : 5/9

d = 9/10/5/9

d = 81/50

d = 81/50

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
T^12 x T^10= T to the power of what
coldgirl [10]
  • <em>Answer:</em>

<em>t²²</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>t¹²ₓ t¹⁰ = t¹²⁺¹⁰ = t²²</em>

<em>Good luck !</em>

7 0
3 years ago
Read 2 more answers
A person can order a new car with a choice of 13 possible colors, with or without air conditioning, with or without automatic tr
Gnoma [55]

Answer:

208

Step-by-step explanation:

13 options for colours = 13C1 = 13

AND

2 options for A/C = 2C1 = 2

AND

2 options for transmission = 2C1 = 2

AND

2 options power windows = 2C1 = 2

AND

2 options for CD player = 2C1 = 2

So,

13×2×2×2×2 = 208

3 0
3 years ago
Shamaya gave away 6 bags of chips. She now has 17 bags of chips left in her bag. How many bags of chips did she have originally?
Brilliant_brown [7]

Answer:

23

Step-by-step explanation:

She originally had 23 because if she gave away 6 bags of chips, she would have 17 left

-

17+6=23

double check answer:

23-6=17

7 0
3 years ago
Read 2 more answers
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