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2 years ago

Estimate this answer to the nearest whole mumber 48.6+22.98+7.83 =

Mathematics

1 answer:

daser333 [38]2 years ago

3 0

The nearest whole number is 79

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Let (8,−3) be a point on the terminal side of θ. Find the exact values of cosθ, cscθ, and tanθ.

denis23 [38]

Answer:

$\text{Cos}\theta=\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{x}{R}=\frac{8}{\sqrt{73}}$

$\text{Csc}\theta=-\frac{\sqrt{73}}{3}$

$\text{tan}\theta =\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{y}{x}=\frac{-3}{8}$

Step-by-step explanation:

From the picture attached,

(8, -3) is a point on the terminal side of angle θ.

Therefore, distance 'R' from the origin will be,

R = $\sqrt{x^{2}+y^{2}}$

R = $\sqrt{8^{2}+(-3)^2}$

= $\sqrt{64+9}$

= $\sqrt{73}$

Therefore, Cosθ = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{x}{R}=\frac{8}{\sqrt{73}}$

Sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{y}{R}=\frac{-3}{\sqrt{73} }$

tanθ = $\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{y}{x}=\frac{-3}{8}$

Cscθ = $\frac{1}{\text{Sin}\theta}=\frac{R}{y}=-\frac{\sqrt{73}}{3}$

6 0

3 years ago

Subtract. 5 27x - 75x

Nadya [2.5K]

I think the answer is x=0 the equation is not set up clearly

5 0

3 years ago

An apartment lease states that the rent will go up $60 each year. The rent in the 6th year is $1250. Identify the slope and poin

oksano4ka [1.4K]

Answer:

The slope of the linear equation will be 60 and the point on the line will be (6,1250).

R - 1250 = 60(y - 6)

Step-by-step explanation:

An apartment lease states that the rent will go up by $60 each year. The rent in the 6th year is $1250.

Therefore, the slope of the linear equation will be 60 and the point on the line will be (6,1250).

Now, the point-slope form of the linear equation which models the rent (R(y)) in terms of how many years (y) the tenants have lived there will be

R - 1250 = 60(y - 6) (Answer)

7 0

2 years ago

1 of 10Give the property that justifies each step.5(2 + 10)20Given52 + 50 = 2057 = -30N2-6o- Addition Property of Equality:: Sub

Elan Coil [88]

Properties5(2 + 10)20

8 0

1 year ago

The slats on Venetian blinds are designed to remain parallel in order to direct the path of light coming in a window. In paralle

Darina [25.2K]

Answer:

A.) JH = 1 in

B.) GH = 3/4 in

C.) m∠F = 62°

D.) m∠J = 118°

Step-by-step explanation:

In a parallelogram, opposite angles are congruent, adjacent angles are supplementary, and opposite sides are congruent.

A.) JH = FG = 1 in

B.) GH = FJ = 3/4 in

C.) m∠F = m∠H = 62°

D.) m∠J = m∠G = 180° -62° = 118°

8 0

2 years ago