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kozerog [31]
3 years ago
5

Find the angle of depression from point A to point C. Angle of depression= ?

Mathematics
1 answer:
san4es73 [151]3 years ago
3 0

Check the picture below.

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Given that f(x) = 19x2 + 152, solve the equation f(x) = 0
telo118 [61]

<em><u>Option A</u></em>

<em><u>The solution is:</u></em>

x = \pm 2i \sqrt{2}

<em><u>Solution:</u></em>

f(x) = 19x^2+152

We have to solve the equation f(x) = 0

Let f(x) = 0

0=19x^2+152

Solve the above equation

19x^2 + 152 = 0

\mathrm{Subtract\:}152\mathrm{\:from\:both\:sides}\\\\19x^2+152-152=0-152\\\\Simplify\ the\ above\ equation\\\\19x^2 = -152\\\\\mathrm{Divide\:both\:sides\:by\:}19\\\\\frac{19x^2}{19} = \frac{-152}{19}\\\\x^2 = -8

Take square root on both sides

x =  \pm \sqrt{-8}\\\\x = \pm \sqrt{-1}\sqrt{8}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\x = \pm i\sqrt{8}\\\\x = \pm i \sqrt{2 \times 2 \times 2}\\\\x = \pm 2i\sqrt{2}

Thus the solution is found

5 0
3 years ago
A right triangle has side lengths of 0.6 meter and 0.8 meter. What is the length of the hypotenuse? Round to the nearest tenth.
Sonja [21]

Use the Pythagorean theorem since you are working with a right triangle:

a^2+b^2=c^2a2+b2=c2

The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:

0.8^2+0.6^2=c^20.82+0.62=c2

Solve for c. Simplify the exponents (x^2=x*xx2=x∗x ):

0.64+0.36=c^20.64+0.36=c2

Add:

1=c^21=c2

Isolate c. Find the square root of both sides:

\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c

Simplify \sqrt{1}1 . Any root of 1 is 1:

c=c= ±11 *

c=1,-1c=1,−1

4 0
3 years ago
112.64+9.89+67.41 =............
pickupchik [31]
The answer is 189.94.
7 0
3 years ago
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Joshua used 23 more craft sticks on his project than Candice. Joshua used 41 craft sticks. How many craft sticks did Candice use
Aloiza [94]
Candice used eighteen craft sticks.
4 0
3 years ago
What is the value of X? <br><br> X=2.25<br> X=11.25<br> X=13<br> X=22
olga55 [171]
(2x + 10) + (6x + 1) = 180 - 79
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3 years ago
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