Question 21 of 25
What is the length of the x-component of the vector shown below?
8
71°
OA. 2.6
OB. 8.0
OC. 7.6
OD. 5.2

Answer:

probably 30 degrees sorry if im wrong

Answer:

12.0

Step-by-step explanation:

        \(c^{2} = 8^{2} + 9^{2}\)

            = 64 + 81

            = 145

     \(\sqrt{c^{2} } = \sqrt{145}\)

Therefore,

          c = 12.0 (3 s.f.)

Answer:

6

Step-by-step explanation:

this question is basically asking you to find the HCF of 30 and 36

step 1 : draw prime factor tree diagrams and write the numbers out as the product if their prime factors

step 2: multiply the prime factors they have in common

30 = 2 x 3 x 5

36 = 2 x 2 x 3 x 3

HCF = 2 x 3 = 6

Answer: 6 rows of lemon trees and 6 rows of lime trees.  

Steps: All you need to do is to find the highest common factor of 30 and 36, which is 6.  

30 divided by 6 is 5 and 36 divided by 6 is 6.  So uncle john can plant 5 lemon trees and 6 lime trees each row. That would make 6 rows of lemon trees and 6 rows of lime trees.

Brainliest pls if it is correct!

Answer:

I guess your answer will be √-3+2x

Answer:

The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.

Step-by-step explanation:

Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing

In this case:

Probability of Winning = 0.05

Payout for Win = $5

Cost of Playing = $1

Expected Value = (0.05 * $5) - $1

Expected Value = $0.25 - $1

Expected Value = -$0.75

Answer:

A bar graph shows amounts as bars of different sizes and, sometimes, of different colors. Longer bars represent larger numbers.

Answer:

y=5x+1

Step-by-step explanation:

5(1)+1=6

5(2)+1=11

Step-by-step explanation:

We can see that in the table the difference between the numbers is 5.

So...

y=5x+1...

The expression in simplest rational exponent form is 4x

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

√x • 4√x = 4* √x * √x

              = 4 * √(x* x)

               = 4*√x²

              = 4*x

              = 4x

Thus, √x • 4√x can be written in simplest rational exponent form as 4x.

Learn more about algebraic expressions on:

brainly.com/question/4344214

#SPJ1

Answer:

t=3.5

Step-by-step explanation:

Divide each term in 7t=24.5 by 7 and simplify.

Answer:

There are 3 adults and 4 children.

Step-by-step explanation:

Set up a systems of equation to find the number of adults and children.

x= adults

y= children

24.75x+16.00y= 138.25

8.25x+4.50y= 42.75

Solve with elimination, so by multiplying the second equation by -3, we can cancel out the x variable and solve for y.

24.75x+16.00y= 138.25

-24.75x-13.50=-128.25

Subtract both equations from each other.

250y=1000

Solve for y.

y= 4

Now that you have the value for y, you can substitute 4 for y in one of your equations to find x.

8.25x+4.50y= 42.75

8.25x+4.50(4)= 42.75

8.25x+18= 42.75

8.25x= 24.75

x=3

There are 3 adults and 4 children.

The area of the rectangle is  (14 + 1/3)  square yards.

We know that for a rectangle of length L and width W, the area is:

A = L*W

Here we know that:

L = (4 + 2/3) yards.

W = (3 + 1/4) yards.

We just need to take the product between these two numbers, we will get:

area =  (4 + 2/3)* (3 + 1/4) yd²

Expanding the product:

(4 + 2/3)* (3 + 1/4) yd² = [ 4*3 + 4*(1/4) + (2/3)*3 + (2/3)*(1/4)] yd²

                                    = [ 12 + 1 + 2 + 2/6] yd²

                                     = (14 + 1/3)  yd²

That is the area of the rectangle.

Learn more about rectangles at:

https://brainly.com/question/17297081

#SPJ1

The function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The coordinate points from the graph are (10, 550) and (30, 200).

Here, slope = (200-550)(30-10)

= -350/20

= -35/2

= -17.5

Substitute m= -17.5 and (x, y)=(10, 550) in y=mx+c, we get

550=-17.5(10)+c

c=550+175

c=725

So, the equation is y= -17.5x+725

Thus, f(n)= -17.5n+725

a) The fine at every speed should go up by $10.

So, the coordinates are (10, 560) and (30, 210)

New slope (m)= (210-560)(30-10)

= -350/20

= -35/2

= -17.5

Substitute m= -17.5 and (x, y)=(10, 560) in y=mx+c, we get

560=-17.5(10)+c

c=550+175

c=735

So, the equation is y= -17.5x+735

Thus, f(n)= -17.5n+735

b) The fine at every speed should be doubled in construction zones.

So, the coordinates are (20, 550) and (60, 200)

New slope (m)= (200-550)(60-20)

= -350/40

= -8.75

Substitute m= -8.75 and (x, y)=(20, 550) in y=mx+c, we get

550=-8.75(10)+c

c=550+87.5

c=637.5

So, the equation is y= -8.75x+637.5

Thus, f(n)= -8.75n+637.5

Therefore, the function for fine at every speed should be doubled in construction zones is f(n)= -8.75n+637.5.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

So, the probability of Freddie getting 4 base hits in a row is approximately 0.0088, or 0.88%.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

by the question.

Assuming that each at-bat is independent of the others, the probability of Freddie getting a base hit in one at-bat is 0.305.

To find the probability that he gets 4 base hits in a row, we can use the multiplication rule for independent events. This rule states that the probability of two or more independent events occurring together is the product of their individual probabilities.

Therefore, the probability of Freddie getting 4 base hits in a row is:

0.305 x 0.305 x 0.305 x 0.305 = 0.0088 (rounded to four decimal places)

To learn more about decimal:

https://brainly.com/question/30958821

#SPJ1

Answer:

$ 25.86 is the answer

Step-by-step explanation:

Answer:

68.1 square units

Step-by-step explanation:

l = Length of rectangle

 = 9 units

w = Width of rectangle

   = 6 units

The dashed lines represent the diameter of the circle. Semi-circle is exact half of a circle. This diameter is parallel to the width of the rectangle and is equal in measurement:

r = Radius of semi-circle

 = \(\frac{Diameter}{2}\)

 = \(\frac{6}{2}\) units

 = 3 units

∴Area of composite solid = Area of rectangle + Area of semi-circle

                                           = [(l × w) + \(\frac{1}{2}(\pi r^{2})\)] \(units^{2}\)

                                          = {[9 × 6] + \(\frac{1}{2}[\pi (3)^{2}]\)} \(units^{2}\)

                                          = [54 + \(\frac{9}{2}\pi\)] \(units^{2}\)

                                          = 68.137 \(units^{2}\)

                                         = 68.1 square units (Rounded to the nearest tenths place)

The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.

It is a scale among 0 and 1 that represents the probability or likelihood of an event happening. In many disciplines, including statistics, physics, economics, law, and computer science, probability theory is extensively used. Many situations, such as games of chance, weather predictions, medical diagnoses, and more, can be explained using the concept of probability. The mathematical computation of probabilities, the analysis for random variables, and the conclusion-making process are all included in the study of probability.

given

The likelihood that 162 or more kids in a randomly chosen sample of 340 pupils will have received a referral in that particular year can be calculated using the normal distribution.

Calculating the sample proportion is necessary:

The predicted value of p is equal to the 0.34 underlying proportion of referred pupils. It is possible to compute the sample proportion's standard deviation as follows:

P equals sqrt[p(1-p)/n] = sqrt[0.34(1-0.34)/340] = 0.031

Calculate the z-score to determine the likelihood of locating 162 or more kids with referrals:

\(z = (0.476 - 0.34) / 0.031 = 4.39\)

The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

Answer:

the height of the tree is 432 feet. Answer: (b) 432 ft.

Step-by-step explanation:

We can set up a proportion to solve the problem:

height of tree / length of yardstick shadow = length of tree shadow / length of yardstick shadow

Let h be the height of the tree. Then we have:

h / 6 = 72 / 1

Multiplying both sides by 6, we get:

h = 6 x 72 = 432

Therefore, the height of the tree is 432 feet. Answer: (b) 432 ft.

Answer:

5 miles per hour

Step-by-step explanation:

12 minutes = 0.2 hours

1/0.2 = 5

Answer: 5 miles per hour

Answer:

average speed is 5mph

Step-by-step explanation:

hope this helps!

A. The system of equations in standard form is: 4x + 5y = 540 and 3x + 5y = 440.

B. The y-intercept of the equation representing the prices on Saturday night is 108, and the y-intercept of the equation representing the prices at the matinee on the second day is 88.

A) Let's define the variables:

Let x represent the number of children attending.

Let y represent the number of adults attending.

On Saturday night:

The equation for the revenue generated on Saturday night is:

4x + 5y = 540 (since children's tickets cost $4 and adults' tickets cost $5, and the total revenue is $540).

Matinee on the second day:

The equation for the revenue generated at the matinee is:

3x + 5y = 440 (since children's tickets cost $3 and adults' tickets still cost $5, and the total revenue is $440).

Therefore, the system of equations in standard form is:

4x + 5y = 540

3x + 5y = 440

B) Let's rewrite the system of equations in slope-intercept form:

On Saturday night:

4x + 5y = 540

Rearranging the equation, we get:

5y = -4x + 540

Dividing both sides by 5, we get:

y = (-4/5)x + 108

The y-intercept of this equation is 108.

Matinee on the second day:

3x + 5y = 440

Rearranging the equation, we get:

5y = -3x + 440

Dividing both sides by 5, we get:

y = (-3/5)x + 88

The y-intercept of this equation is 88.

For such more question on equation:

https://brainly.com/question/17145398

#SPJ8

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

For more questions on trigonometric form

https://brainly.com/question/31744474

#SPJ8

Answer:

This doesn't really make sense, could you post the whole question?

Using the Pythagorean Theorem, we can determine that the length of CD is 11.62, rounded to the closest hundredth.

When the length of the longest side of a right triangle is squared, the result will be equal to the total of the squares of the lengths of the other two sides of the right triangle that are smaller.

Taking into account the following:

Side AB = 6

Side AC = 12

The perpendicular bisector theory states that AD equals half of AB, which equals half of (6), which equals three.

By using the Pythagorean theorem, we get the following:

The length of the CD is equal to (AC2 - AD2)

The length of the CD is equal to 122 minus 32.

The length of the CD equals (144 - 9)

11.62 is the length of the CD.

Consequently, by using the Pythagorean Theorem, we can determine that the length of the CD is 11.62, rounded to the closest hundredth.

Discover further information on the Pythagorean Theorem by consulting:

brainly.com/question/343682

#SPJ1

Answer:

1,2,3,4,6,8,12,24 sub set

Answer:

117

Step-by-step explanation: