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2 years ago

The question in the picture below.

Mathematics

2 answers:

USPshnik [31]2 years ago

5 0

Answer:

Step-by-step explanation:

9/1 x 1/2 = 9/2

mr_godi [17]2 years ago

5 0

Answer:

see below

Step-by-step explanation:

9/2= ?x1/2

As 9/2 is on the other side of the equal sign and you want to combine like terms, you divide 9/2 by 1/2

9/2 x 2/1

(Flip the second term)

Cancel out the 2's

9/1 x 1/1

This equals 9

9/2= 9 x 1/2

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Find, correct to the nearest degree, the three angles of the triangle with the given vertices.

Leokris [45]

Answer:

angle CAB = 113.8 degree

angle ABC = 35.6 degree

angle BCA = 30.6 degree

Step-by-step explanation:

Given data:

A(1, 0, −1),

B(5, −3, 0),

C(1, 5, 2)

calculate the length of side by using the distance formula

AB = (5,-3,0) - (1,0,-1) = (4,-3,1)

AC= (1,5,2) - (1,0,-1) = (0,5,3)

|AB|

|AC| = $\sqrt {(0 + 5^2+3^2)} = \sqrt{34}$

From following formula, calculate the angle between the two side i.e Ab and AC

AB.AC = |AB|*|AC| cos ∠CAB

(4,-3,1).(0,5,3)

4*0 -3*5 +1*3

-12 =

cos ∠CAB = - 0.404

angle CAB = 113.8 degree

BA =B- A = (1,0,-1) - (5,-3,0) = (-4,3,-1)

BC = (1,5,2)-(5,-3,0) = (-4,8,2)

|BA| = \sqrt{(26)}

|BC| $= \sqrt {(4^2 + 8^2 + 2^2)} = \sqrt{(84)}$

BA.BC = |BA|*|BC|* cosABC

(-4,3,-1).(-4,8,2) = $\sqrt{(26)} * \sqrt{(84)} *cosABC$

16+24-2

cos ∠ABC = 0.813

angle ABC = 35.6 degree

we know sum of three angle in a traingle is 180 degree hence

sum of all three angle = 180

angle BCA + 35.6 + 113.8 = 180

angle BCA = 30.6 degree

7 0

3 years ago

I need gelp...Gail read 2/15 of a book on Monday and 3/5 of the book on tuesday.what fraction of the book did read on Monday and

andrey2020 [161]

11/15 because 3/5 converts to 9/15 so 9/15+2/15=11/15

4 0

3 years ago

A football is kicked toward the goal. the height of the ball is modeled by the function h(t) = −16t2 64t, where t equals the tim

diamong [38]

The function $H(t) = -16t^2 + 64t$ exists in a parabola.

The axis of symmetry of a parabola exists at the midpoint between the two real roots.

The roots exist the solutions of H(t) = 0

To estimate the roots equation exists $-16t^2 + 64t = 0$

Factor t(-16t + 64) = 0

t = 0 and -16t + 64 =0

-16t + 64 = 0

t = 64 / 16 = 4

t = 4

Then the two roots are t = 0 and t = 4, and the axis of symmetry exists

t = (0+4)/2 = 4/2 = 2

<h3>How to estimate the axis of symmetry?</h3>

The axis of symmetry exists at t = 2.

It represents the time at which the ball is at the higher point, the maximum height.

You can find the maximum height replacing t = 2 in the function H(t)

$H(t) = -16(2^2) + 64(2)$

= 64 feet.

And you can also deduce that the second part of the flight will take 2 seconds, for a total flight time of 4 seconds.

To learn more axis of symmetry refers to:

brainly.com/question/21191648

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8 0

1 year ago

Rebecca’s boss pays her time and a half for overtime work. If her regular wage is $13.50 per hour, what is her overtime rate?

valentina_108 [34]

Answer: 20.25

Step-by-step explanation: Rebecca can expect to be making her regular 13.50 an hour, however once time and a half hits she’s looking at taking her 13.50 and dividing it by 2. So 13.50 divided by two is 6.75. You then take that 6.75 and add it on top of her regular 13.50 hourly. Putting you at 20.25 for time and a half.

5 0

3 years ago

Your ship has steamed 1651 miles at 20 knots using 580 tons of fuel oil. The distance remaining to your next port is 1790 miles.

oee [108]

The 680 tons of fuel needed to cover the next 1790 miles distance.

According to the statement

We have given that the ship covered a 1651 miles distance at 20 knots by a 580 tons of fuel oil.

And distance remaining to next port is 1790 miles and speed increases to 25 knots.

And we have to find that how much fuel used to reach that port.

So, Distance covered = 1651 mile

fuel used = 580 tons

distance covered with 1 tons fuel = 1651/580

distance covered with 1 tons fuel = 2.85 mile at a speed of 20 knots.

so, The fuel consumption for 1790 mile is = 1790/2.85

The fuel consumption for 1790 mile is = 628 tons of fuel needed.

So, The 680 tons of fuel needed to cover the next 1790 miles distance.

Learn more about Distance here brainly.com/question/1872885

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3 0

2 years ago