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2 years ago

Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest

Mathematics

1 answer:

Novosadov [1.4K]2 years ago

7 0

Answer:

3.7

Step-by-step explanation:

Given

sin²θ + cos²θ = 1
sinθ = 0.27

Solving for cosθ

cos²θ = 1 - sin²θ
cos²θ = 1 - (0.27)²
cos²θ = 0.0729

Finding tanθ

tanθ = sinθ / cosθ
tanθ = 0.27 / 0.0729
tanθ = 3.7

Verifying it lies in the range

θ = tan⁻¹ (3.7)
θ = 74.88°
Range is : 0 < θ < π/2 [or 0 < θ < 90°]
It lies in the range [Verified]

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The label on the car's antifreeze container claims to protect the car between −30°C and 130°C. To convert Celsius temperature to

Sveta_85 [38]

we know that

$C = \frac{5}{9}(F-32)\\ \\F=\frac{9}{5}C+32$

Step $1$

Find the inequality

we know that

$C = \frac{5}{9}(F-32)$ --------> equation $1$

and

$-30\° < C < 130\°$

substitute the equation $1$ in the inequality

$-30\° < \frac{5}{9}(F-32) < 130\°$

Step $2$

Convert $-30\°C$ to F

substitute in the formula

$F=\frac{9}{5}*(-30)+32\\ \\F= -22\°$

Step $3$

Convert $130\°C$ to F

substitute in the formula

$F=\frac{9}{5}*(130)+32\\ \\F= 266\°$

therefore

$-22\° < F < 266\°$

the answer is the option

B. −30 < 5 over 9 (F − 32) < 130; −22 < F < 266

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3 years ago

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1/2n + 1/2n + 1/2n = 7 what is the value of n? include a check to check your answer.

Katen [24]

Answer:

N = 8/4

Step-by-step explanation:

Multiply all terms by n and cancel:

1/2+1/2+1/2=7N

8/7=7n (Simplify both sides of the equation)

7n=8/7/7

(Divide both sides by 7)

n= 8/49

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3 years ago

A rectangle has vertices at these corrdinates (1, 2), (3, 2), (1, -8)

Vilka [71]

Answer:

(3,-8)

Step-by-step explanation:

Graph the points on the coordinate plane. Since a rectangle has equal sides with 90 degree angles, the last point will be below (3,2) at the same level as (1,-8). This point is (3,-8).

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X=d-15. Duh.
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balu736 [363]

Answer:

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Step-by-step explanation:

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