Barak spent $20 at the mall. This represents 16% of the money he earned working at the pizza parlor last week. How much money did Barak earn at the pizza parlor last week?

Answer:

[tex]\sqrt{0.5}[/tex]

Step-by-step explanation:

cosx=adj/hyp

adj= [tex]\sqrt{2}[/tex]/2

hyp= r

cos(45)= ([tex]\sqrt{2}[/tex]/2)/r

[tex]\sqrt{2}[/tex]/2 = ([tex]\sqrt{2}[/tex]/2)/r

   multiply both sides by r

([tex]\sqrt{2}[/tex]/2)r = [tex]\sqrt{2}[/tex]/2

    divide both sides by [tex]\sqrt{2}[/tex]/2

r = 1

pythagorean theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

a = [tex]\sqrt{2}[/tex]/2

b = y

c = r = 1

[tex](\sqrt{2}/2)^{2}[/tex] + [tex]y^{2}[/tex] = [tex]1^{2}[/tex]

    [tex](\sqrt{2}/2)^{2}[/tex] = 2/4 = 0.5

0.5 + [tex]y^{2}[/tex] = 1

    subtract 0.5 from 1

[tex]y^{2}[/tex] = 0.5

[tex]\sqrt{y^{2}}[/tex] = [tex]\sqrt{0.5}[/tex]

y = [tex]\sqrt{0.5}[/tex]

Answer:

x₂ = - 3

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to [tex]\frac{5}{6}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 9) and (x₂, y₂ ) = (x₂, - 1)

m = [tex]\frac{-1-9}{x_{2}-9 }[/tex] , that is

[tex]\frac{-10}{x_{2}-9 }[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )

5(x₂ - 9) = - 60 ( divide both sides by 5 )

x₂ - 9 = - 12 ( add 9 to both sides )

x₂ = - 3

Answer:

Because he has to send one more parcel than the estimation.

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

straight line=180°

180-123=57

57/3=19

19*3=57

Answer:

Yes

Step-by-step explanation:

Trust me bro.

Answer:

Step-by-step explanation:

sin58=h/20

h=20sin58

h=17.0 ft

Answer:

[tex]y=5x+3[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Plug the given slope 5 into the equation

[tex]y=mx+b\\y=5x+b[/tex]

2) Find the y-intercept [tex]b[/tex] by plugging in the point (-1,-2)

[tex]y=5x+b\\-2=5(-1)+b\\-2=-5+b[/tex]

Add 5 to both sides

[tex]-2+5=-5+b+5\\3=b[/tex]

3) Plug the y-intercept back into the equation

[tex]y=5x+3[/tex]

I hope this helps!

Answer:

7 / 1/3

Step-by-step explanation:

Answer:

um with what plz tell for I can help you

The Answer is:  x = 3

Answer: A. x = 3 is the right one!

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent the length of one side of the yard. Then the width of the yard is 2x+4, and the perimeter is ...

  P = 2(L +W) . . . . . . . . . . formula for perimeter of a rectangle

  80 = 2(x + (2x+4)) . . . . . with values from the problem filled in

  40 = 3x +4 . . . . . . . . divide by 2, collect terms

  36 = 3x . . . . . . . . . subtract 4

  12 = x . . . . . . . . . divide by 3. This is the length of the side fence.

  2x +4 = 2(12) +4 = 28

The fence is 12 feet on the sides and 28 feet on the front. (Its total length is 52 feet.)

Answer:

11) 75.2

12) 44.2

Step-by-step explanation:

angles formed by intersecting lines tangent to a circle are the same length.

11)

Perimeter = 2(5) + 2(12) + 2(11.4) + 2(9.2) = 75.2

12)

Perimeter = 2(4) + 2(8) + 2(5.3) + 2(4.8) = 44.2

Answer:

x^2 - 4x - 3 + 28/x+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/5 = 0.6

1 - 0.6 = 0.4 students left

Multiply the amount of students remaining by the fractional amount that take German

0.4  x  1/4   =   0.1

1 - 0.6 - 0.1 = 0.3

0.3 x 100 = 30%

Therefore 30% of students take French

Answer:

105

Step-by-step explanation:

Hello There!

(Let x = angle T)

if you didn't know an exterior angle of a triangle is equal to its two opposite interior angles

So basically

155 (being the exterior angle) is equal to 50 + x (being the opposite interior angles)

so x = 155 - 50

155 - 50 = 105

so we can conclude that x (angle T) equals 105

Answer:

105 degrees

Step-by-step explanation:

The angle measure of the exterior angle is equal to the sum of the two nonadjacent interior angles (angle V and angle T).

155 - 50 = 105

Answer:

25.1327412287

Step-by-step explanation:

Answer:

Step-by-step explanation:

Average salary = ($65,000 + $72,000 + ... + 88,500 )/5 = $77,100

5% of $77,100 = $3,855

15 years * $3,855/year = $57,825

Answer:

0.9844

Step-by-step explanation:

This is a binomial probability problem.

Probability of getting a correct answer: p = 1/4

Probability of getting an incorrect answer: q = 3/4

Number of questions; n = 3

Thus;

probability of 2 or less correct answers is; P(x ≤ 2) = P(X = 2) + P(X = 1) + P(X = 0)

From binomial probability the formula is;

P(X = x) = C(n, x) × p^(x) × q^(n - x)

P(X = 2) = C(3, 2) × (¼)² × (¾)¹

P(X = 2) = 3 × 0.0625 × 0.75

P(X = 2) = 0.1406

P(X = 1) = C(3, 1) × (¼)¹ × (¾)²

P(X = 1) = 3 × 0.25 × 0.5625

P(X = 1) = 0.4219

P(X = 0) = C(3, 0) × (¼)^(0) × (¾)³

P(X = 0) = 0.4219

P(x ≤ 2) = 0.1406 + 0.4219 + 0.4219

P(x ≤ 2) = 0.9844

Answer:

[tex]\frac{11}{850}[/tex]

Step-by-step explanation:

Let's see

The probability of the first card being a spade is 13/52 (as there's 13 spades in the deck.

The probability for the second card is 12/51 (because there's 12 spades left in 51 cards total).

The probability for the third is - you guessed it! - 11/50

so the total probability is:

[tex]\frac{13}{52} \cdot \frac{12}{51} \cdot \frac{11}{50} = \frac{1}{4} \cdot \frac{4}{17} \cdot \frac{11}{50} = \frac{1}{17} \cdot \frac{11}{50} = \frac{11}{850}[/tex]

A more generic solution:

Let's use the binomials to find the solution with combinations:

We need to pick 3 cards out of 13. This can be done in

[tex]\binom{13}{3} = \frac{13!}{3!\cdot10!}[/tex] ways.

And the total number of ways to pick 3 cards out of 52 is:

[tex]\binom{52}{3} = \frac{52!}{3!\cdot 49!}[/tex]

So the probability is:

[tex]\frac{ \binom{13}{3} }{ \binom{52}{3} } = \frac{ \frac{13!}{3!\cdot 10!} }{ \frac{52!}{3!\cdot 49!} } = \frac{ \frac{13!}{10!} }{ \frac{52!}{49!} } = \frac{13 \cdot 12 \cdot 11}{52 \cdot 51 \cdot 50}[/tex]

Which again brings us to the result computed before.

9514 1404 393

Answer:

  x = 40

Step-by-step explanation:

The angle bisector divides corresponding sides proportionally.

  x/16 = 25/10

  x = 16(25/10) . . . . . multiply by 16

  x = 40

Answer:

w ≥ 1

Step-by-step explanation:

Given

5w ≥ - 6w + 11 ( add 6w to both sides )

11w ≥ 11 ( divide both sides by 11 )

w ≥ 1

Answer:

pyramid

Step-by-step explanation:

gooooooooooooooooooooooooooooooogle

Answer:

Answer :prisms and pyramids

Answer:

d

Step-by-step explanation:

IT is d bc Some Bollywood films are popular with non Indian audiences.

Answer:

-3x + 3y - 2

Step-by-step explanation:

Collect like terms and add/subtract

Answer:

This rate in kilometers per hour is: 36 kilometers per hour. Also, the cyclist will travel 144 km in 4 hours.

Step-by-step explanation:

In order to find the rate in kilometers per hour, you have to consider that 1 meter per second is equal to 3.6 kilometers per hour and you can use a rule of three with this information:

 1 meter per second     →    3.6 kilometers per hour

10 meters per second   →                      x

x=(10*3.6)/1=36 kilometers per hour

Now, you can use the formula to calculate speed and solve for the distance:

speed=distance/time

36=distance/4

distance=36*4

distance=144 km

According to this, the answer is that this rate in kilometers per hour is: 36 kilometers per hour. Also, the cyclist will travel 144 km in 4 hours.