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otez555 [7]
3 years ago
6

What is the value of X?

Mathematics
1 answer:
topjm [15]3 years ago
8 0
Right Triangle = 90°

Giving the angles 45°, you can find the value of X by using 12 (the opposite side from the angle 45°).

sin(theta) = \frac{opposite}{hypotenuse}
theta means angle

\sin(45) = \frac{12}{x}
Cross multiple

\sin(45)x = 12\\ Divide by sin(45) on both side\\ x= \frac{12}{sin(45)}
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Please need help in these 3 algebra questions !!!!
Marysya12 [62]

Answer:

\large\boxed{7.\ B.\ 8s^2+16s+1}\\\\\boxed{8.\ D.\ -15t^9u^{11}}\\\\\boxed{11.\ C.\ 3,\ -2}

Step-by-step explanation:

7.\\(3s^2+7s+2)+(5s^2+9s-1)=3s^2+7s+2+5s^2+9s-1\\\\\text{combine like terms}\\\\=(3s^2+5s^2)+(7s+9s)+(2-1)\\\\=8s^2+16s+1

8.\\(-3t^2u^3)(5t^7u^8)=(-3\cdot5)(t^2t^7)(u^3u^8)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=-15t^{2+7}u^{3+8}=-15t^9u^{11}

11.\\n-the\ number\\\\n^2=n+6\qquad\text{subtract}\ n\ \text{and}\ 6\ \text{from both sides}\\\\n^2-n-6=0\\\\n^2+2n-3n-6=0\\\\n(n+2)-3(n+2)=0\\\\(n+2)(n-3)=0\iff n+2=0\ \vee\ n-3=0\\\\n+2=0\qquad\text{subtract 2 from both sides}\\n=-2\\\\n-3=0\qquad\text{add 3 to both sides}\\n=3

4 0
4 years ago
If I had 6 dollar bill to spent and I buy a chip for 2 dollars and an icecream sandwich box for 3 dollars would I have enough mo
NikAS [45]

Answer:

yes

Step-by-step explanation:

6 -2 = 4

4 - 3 = 1

1 - .80 = .20

7 0
3 years ago
Read 2 more answers
An airplane flies into the wind for 5 hours, traveling 900 miles. The airplane then
Musya8 [376]

Answer:

22.5 miles per hour

Step-by-step explanation:

<u>Given system of equations</u>

5(s-w)=900

4(s+w)=900

<u />

<u>Set equations equal to each other</u>

5(s-w)=4(s+w)

5s-5w=4s+4w

s-5w=4w

s=9w

<u>Solve for w using the substitution s=9w</u>

4(s+w)=900

4(9w+w)=900

4(10w)=900

40w=900

w=22.5

Therefore, the speed of the wind is 22.5 miles per hour

7 0
3 years ago
A theater has 30 seats in the first row, 33 seats in the second row, 36 seats in the third row, and so on in the same increasing
Ghella [55]

The answer is A. 765

4 0
3 years ago
Find the square root of the following decimal numbers.​
Softa [21]

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful.......

5 0
3 years ago
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