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4 years ago

3/5 of 40$ restaurant Bill

Mathematics

2 answers:

Ronch [10]4 years ago

5 0

3/5 of a $40 restaurant bill is $24.

Ad libitum [116K]4 years ago

3 0

Hey there Willialili!

Fraction Question::

We first have to divide the number ($40) from the denominator of our fraction (5) - This would be 8! {40 / 5}

We then multiply this with our numerator which is 3! {8 x 3}

This gives us 24!

**Answer: 40$

Hope this helped :)

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Expand the expression (3-2y)^6 using binomial theorem

Nitella [24]

She should have added 2 to both sides of the equation instead of subtracting 2.

2x -2 = 14

Add 2 to both sides:

2x = 16

Divide both sides by 2:

x = 8

5 0

4 years ago

Solve for x, and angle c

patriot [66]

9514 1404 393

Answer:

x = 12.75

∠C = 51.75°

Step-by-step explanation:

The two marked angles are complementary, so ...

(5x -12) +(3x) = 90

8x = 102

x = 102/8

x = 12.75

C = (5x -12)° = (5(12.75) -12)°

∠C = 51.75°

Check

E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should

5 0

3 years ago

rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t

ahrayia [7]

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

$y=h+ut+\frac{1}{2}at^2$

where

h = 23 m is the initial height

u = 27 m/s is the initial velocity, upward

$a=g=-9.8 m/s^2$ is the acceleration of gravity, downward

t is the time

We want to find the time t at which the position of the rock is

y = 11 m

Substituting and re-arranging the equation, we find

$11=23+27t-4.9t^2\\4.9t^2-27t-12=0$

This is a second-order equation, which has solutions:

$t=\frac{27\pm \sqrt{(-27)^2-4(4.9)(-12)}}{2(4.9)}=\frac{27\pm \sqrt{964.2}}{9.8}$

$t_1 = -0.41 s$

$t_2=5.92 s$

The first solution is negative so we neglect it: therefore, the rock will be at 11 meters from the ground level after 5.92 seconds.

Learn more about free fall:

brainly.com/question/1748290

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brainly.com/question/2455974

brainly.com/question/2607086

#LearnwithBrainly

8 0

3 years ago

What is 9 + 10 A. 19 B.18 C. 20 D.21

Tpy6a [65]

Answer:

A. 19

Step-by-step explanation:

10 + 9 = 19

3 0

3 years ago

Read 2 more answers

Find \cos(\alpha)cos(α)cosine, left parenthesis, alpha, right parenthesis in the triangle. Choose 1 answer: Choose 1 answer: (Ch

icang [17]

Answer:

Check Explanation

Step-by-step explanation:

The diagram for this question is missing, but from the setup of the question, it is evident that the triangle to obtain cos α from is a right angled triangle.

It is evident from the options provided that the right angled triangle is one with dimensions of 20, 21 and 29.

These three dimensions perfectly form a Pythagorean triple.

So, the value of cos α now depends on the setup of the triangle.

From trigonometric relations, if α is an angle in the right angled triangle, cos α is given mathematically as

Cos α = (Adj/Hyp)

For this Pythagorean triple,

Hyp = hypotenuse side = 29

Adj = Adjacent side = 20 or 21, depending on the triangle's setup.

If the adjacent is 20,

Cos α = (20/29), option A is correct.

If the adjacent is 21,

Cos α = (21/29), option C is correct.

Hope this Helps!!!

7 0

3 years ago