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DanielleElmas [232]
3 years ago
12

Identify the slope and y-intercept of the line with the given equation.

Mathematics
1 answer:
jeka57 [31]3 years ago
6 0
5. Slope = 3, Y-Intercept=4
6. Slope = -2, Y-Intercept=8
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The captain of a boat knows that a lighthouse on the coast is 100 ft. tall. If he measures the angle of elevation to be 2 degree
faltersainse [42]

Answer and Step-by-step explanation:

           | \

           |   \

           |      \

           |         \

           |            \

100 ft.  |              \

           |         2     \

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Use tangent to find the x.

tan(2) = \frac{100}{x}

x = \frac{100}{tan(2)}

Use a calculator to evaluate.

x = \frac{100}{tan(2)} = 2863.6253

So, the boat is 2,863.63 feet from the shore.

#teamtrees #WAP (Water And Plant)

6 0
3 years ago
What unit would you use to measure the capacity of water in a swimming pool?
vichka [17]
Should be Cubic meters or Cubic decimeters

Mass of the water in pool in Kilograms

Volume of water in pool in Liters
4 0
2 years ago
Over the past week, 40% of the phone calls to Alicia's cell phone were from her son. Let's say you know that her son called her
ale4655 [162]

She received 12 calls from her son and 30 calls in total.

40% of 30 is 12.

5 0
3 years ago
57/4 as a mixed number still working on my test please help (if yuo vould go look at my last question adn help that would be gre
Harrizon [31]

Answer:

14 1/4

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

5 0
3 years ago
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Verify that (cos²a) (2 + tan² a) = 2 - sin² a....<br>​
Sveta_85 [38]

Trigonometric Formula's:

\boxed{\sf \ \sf \sin^2 \theta + \cos^2 \theta = 1}

\boxed{ \sf tan\theta = \frac{sin\theta}{cos\theta} }

Given to verify the following:

\bf (cos^2a) (2 + tan^2 a) = 2 - sin^2 a

\texttt{\underline{rewrite the equation}:}

\rightarrow \sf (cos^2a) (2 + \dfrac{sin^2 a}{cos^2 a} )

\texttt{\underline{apply distributive method}:}

\rightarrow \sf 2 (cos^2a) + (\dfrac{sin^2 a}{cos^2 a} ) (cos^2a)

\texttt{\underline{simplify the following}:}

\rightarrow \sf 2cos^2 a  + sin^2 a

\texttt{\underline{rewrite the equation}:}

\rightarrow \sf 2(1 - sin^2a )  + sin^2 a

\texttt{\underline{distribute inside the parenthesis}:}

\rightarrow \sf 2 - 2sin^2a   + sin^2 a

\texttt{\underline{simplify the following}} :

\rightarrow \sf 2 - sin^2a

Hence, verified the trigonometric identity.

7 0
2 years ago
Read 2 more answers
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