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3 years ago

What is the domain of the function y= cube root of x -1?

Mathematics

1 answer:

rosijanka [135]3 years ago

3 0

$y=\sqrt[3]{x-1}$
The cubic root exists from every real number, therefore the domain is

 $-\infty < x < \infty$

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Use the Law of Sines to find the missing angle of the triangle.

Natasha2012 [34]

Answer:

m∠B = 70.0° (nearest tenth)

Step-by-step explanation:

Sine Rule for Angles

$\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Given:

a = 13
c = 19
A = 40°

Substituting the given values into the formula to find m∠C:

$\implies \sf \dfrac{\sin 40^{\circ}}{13}=\dfrac{\sin C}{19}$

$\implies \sf \sin C=\dfrac{19\sin 40^{\circ}}{13}$

$\implies \sf C=\sin^{-1}\left(\dfrac{19\sin 40^{\circ}}{13}\right)$

$\implies \sf m \angle C=69.96086904^{\circ}$

Interior angles of a triangle sum to 180°

$\implies \sf m \angle A+ m \angle B+m \angle C=180^{\circ}$

$\implies \sf 40^{\circ} + m \angle B+69.960...^{\circ}=180^{\circ}$

$\implies \sf m \angle B=70.03913...^{\circ}$

Therefore, m∠B = 70.0° (nearest tenth)

8 0

2 years ago

When would you use the Pythagorean theorem

swat32

Answer:

when you have a right angled triangle. that is when the angle is 90 degree.

Step-by-step explanation:

you will use pythagorean theorem when you have a right angled triangle. that is when the angle is 90 degree.

that is when you will have he opposite side , hypotenuse side and adjacent side.

3 0

3 years ago

Read 2 more answers

Graph the line passing through the given point and having the indicated slope. through (3, negative 2) with slope minus−three

Alex17521 [72]

Answer:

See the attachment

Step-by-step explanation:

A slope of -3/5 means the line drops 3 units for each 5 units it goes to the right. Then you can find another point on the line by going 5 uints to the left (to x=-2) and 3 units up (to y=1).

Plot the given point and the one just computed and draw the line through them.

8 0

3 years ago

Find x on the triangle

iragen [17]

Answer:

(c)

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos42° = $\frac{adjacent}{hypotenuse}$ = $\frac{x}{12}$

Multiply both sides by 12

12 × cos42° = x, hence

x ≈ 8.9 → (c)

3 0

3 years ago

Read 2 more answers

beyonce michelle and kelly shared a carton of soft drink containing 2 dozen cans. Beyonce takes 3/8 Michelle takes 5/12 and kell

Shalnov [3]

Beyonce gets 9 cans worth, Michelle drinks 10 cans worth of soft drink and kelly receives 5 cans worth.

Dozen = 12 so 2 dozens = 12x2=24

3/8 = 9/24 because 8x3=24 & 3x3=9
5/12 =10/24 because 12x2=24 & 5x2=10
5/24 is fine because it is already out of 24

5 0

3 years ago