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IRISSAK [1]
3 years ago
8

What is the value of Arctan1? a.π b.4π c.π/4 d.4

Mathematics
2 answers:
natali 33 [55]3 years ago
6 0
The correct answer is pi/4
strojnjashka [21]3 years ago
5 0

Answer:

pi/4

Step-by-step explanation:

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Vera_Pavlovna [14]

Answer: Adrian will need to fix 25 bikes to reach a break even point.

3 0
3 years ago
What is the equation of the graph below?
IgorC [24]
ANSWER

f(x) = (x  +  3)^{2}  - 1



EXPLANATION

The vertex of the graph is at


(-3,-1)


The equation of the graph in vertex form is given by the formula,



f(x) =  a{(x - h)}^{2}  + k


The above graph has a minimum point, hence
a >  \: 0

When we put these values into the equation we obtain,

f(x) = a(x -  - 3)^{2}   +  - 1


This implies that,

f(x) = a(x  +  3)^{2} - 1

The point (-2,0) lies on the line.


a( - 2 + 3)^{2}    - 1 = 0

a = 1


f(x) = (x  + 3)^{2}  - 1

The correct answer is D.
6 0
3 years ago
Need help on these trig homework
allochka39001 [22]

8. The length of the support is 7. 9 m

9. The length of the conveyer is 12m

3. a = 59m

A = 44°

B = 52°

4. c = 88. 6 mm

b = 49. 1 m

B = 34°

<h3>How to solve the trigonometry</h3>

8. We have the angle to be 20 degrees

Opposite side = x

hypotenuse = 23m

Using the sine ratio

sin θ = opposite/ hypotenuse

sin 20 = \frac{x}{23}

Cross multiply

sin 20 × 23 = x

x = 0. 3420 × 23

x = 7. 9 m

The length of the support is 7. 9 m

9. The angle of elevation is 37. 3 degrees

Hypotenuse = 19 . 0m

Opposite = x

Using the sine ratio

sin θ = opposite/ hypotenuse

sin 37. 3 = \frac{x}{19}

cross multiply

x = 0. 6059 × 19

x = 11.5

x = 12 m in 2 significant figures

The length of the conveyer is 12m

3. To determine the sides and angles, we use the sine rule;

\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}

For side a, we use the Pythagorean theorem

c^2 = a^2 + b^2

85^2 = a^2 + 67^2

a = \sqrt{89^2-67^2}

a = \sqrt{3432}

a = 58. 58, a = 59m

To find angle A and B, use the sine rule

\frac{59}{sin A } = \frac{85}{sin 90}

cross multiply

sin A × 85 = sin 90 × 59

make sin A subject of formula

sin A = \frac{59}{85}

sin A = 0. 6941

A = sin^-^1(0. 6941)

A = 44°

\frac{67}{sin B} = \frac{85}{sin 90}

cross multiply

sin B × 85 = sin 90 × 67

make sin b subject of formula

sin B = \frac{67}{85}

sin B = 0. 7882

B = sin^-^1( 0. 7882)

B = 52°

4. To find the sides, we use the sine rule;

\frac{74. 0}{sin 56. 6} = \frac{c}{sin 90}

Cross multiply

sin 56. 6 × c = sin 90 × 74

make 'c' subject of formula

c = \frac{74}{0. 8348}

c = 88. 6 mm

To find length b, we use the Pythagorean theorem

c^2 = a^2 + b^2

b^2 = c^2 - a^2

b^2 = 88. 8^2 - 74^2

b = \sqrt{7885. 44 - 5476}\\\\ b = \sqrt{2409. 44}

b = 49. 1 m

\frac{74. 0}{sin 56. 6} = \frac{49. 1}{sin B}

cross multiply

sin B = \frac{40. 99}{74. 0}

B = sin^-^1(0. 5539)

B = 34°

Learn more about trigonometric identity here:

brainly.com/question/7331447

#SPJ1

3 0
1 year ago
Write an equation in slope-intercept form for the line.<br><br> Slope -2, passes through (-3,14)
LekaFEV [45]

Answer:

y=-2x +8

Step-by-step explanation:

8 0
3 years ago
Gompers is trying to cut a round pizza into the largest possible number of pieces with 3 straight cuts of the knife. He can't r
anzhelika [568]
<span>The first two cuts can intersect at only 1 pt regardless of where they are placed. So 4 pieces there. The last cut can only intersect each other cut a 1 pt, regardless of placement. As long as the intersection is different than the first intersection, then you will have 7 pieces.</span>
3 0
3 years ago
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