A student uses the equation tangent theta = StartFraction s squared Over 49 EndFraction to represent the speed, s, in feet per second, of a toy car driving around a circular track having an angle of incline Theta, where sine theta = one-half. To solve the problem, the student used the given value of sine theta to find the value of tangent theta and then substituted the value of tangent theta in the equation above to solve for s. What is the approximate value of s, the speed of the car in feet per second?

Answers

Answer 1

Answer:

The first option, 5.3

Step-by-step explanation:

Egde '21

Answer 2

The approximate value of s, the speed of the car in feet per second is 5.32 ft/s

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that:

tan(θ) = s² / 49

Also:

sinθ = 1/2

θ = sin⁻¹ (0.5) = 30⁰

tan(30) = s² / 49

s = 5.32 ft/s

The approximate value of s, the speed of the car in feet per second is 5.32 ft/s

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Related Questions

Can someone help me with this please

Answers

Answer:

You multiply them 2x each time.

Step-by-step explanation:

Multiply

help please :( my grade will go down and i wont be able to graduate :/

Answers

Answer and Step-by-step explanation:

Equation: [tex]\frac{2}{3} x - 3[/tex]

Graph:

(In Picture)

*Line is not to scale*

Plug in the values shown in the mapping diagram, and draw a line that connects those with arrows at the end.

Mapping Diagram:

(In Picture)

For these, plug in a number for x, then solve.

#teamtrees #PAW (Plant And Water)

PLEASE HELP ME ON THIS QUESTION ASAP!!!!

Answers

Answer:

16

Step-by-step explanation:

45 +25+25+10+10+19=134 so 150-135=16

Find the surface area of the prism.
7 yd
7 yd
7 yd

Answers

The surface area of the prism is 294yd²

What is surface area?

The area occupied by a three-dimensional object by its outer surface is called the surface area. The prism is a square prism also called cube.

Therefore the surface area of a cube is expressed as;

SA = 6l².

This is because a cube has 6 equal faces. The area of each face is given as l². Where l is the side length.

Therefore the surface area of the prism is calculated as;

SA = 6l²

= 6 × 7²

= 6 × 49

= 294yd²

therefore the area of the prism is 294yd²

learn more about surface area from

https://brainly.com/question/28062681

#SPJ1

Joan read 9 chapters in 4 hours. If she continued to read at the same rate, how many chapters would she have read in 2 days?

a.) 4.5 chapters
b.) 108 chapters
c.)21.3 chapters
d.)0.9 chapters

Answers

the answer is bbbbbbbb

Find the value of y.
960
1660
y = [? ]°

Answers

Answer:

y = 48°

Step-by-step explanation:

The value of an inscribed angle is half the value of the arc it subtends.

The angle marked x subtends the arc marked 66°, so has a value of ...

x = 66°/2

x = 33°

The value of y is similarly found.

y = 96°/2

y = 48°

The angle marked with a dot is an external angle of the triangle, so is the sum of the remote internal angles, x and y:

dot angle = x + y = 33° +48° = 81°

Of course, angle z is the supplement of this:

z = 180° -81°  

z = 99°

Patty and Carl went to the movies. Patty bought the two movie tickets for $7.35 each. Carl bought two buckets of popcorn at $5.60 each. How much more money did Patty spend than Carl? Write your answers in complete sentences

Answers

Answer:

1.75 more 7.35-5.60 = 1.75 patty spent more than carl

Step-by-step explanation:

Solve for x

x-(x-2)-2(x-3)=0​

Answers

Answer:

x=4

Step-by-step explanation:

bshdnbsskbewidbehhe

Please help!!
What is the area, in square inches, of the figure shown here?
A- 10 in²
B- 14 in²
C- 16 in²
D- 20 in²

Answers

Answer:

D. 20 inches

Step-by-step explanation:

The data represented by the following stem-and-leaf plot range from _____ to _____.
4235
51.4
6078
7169
A. 45; 76
B. 45; 79
C. 42; 79
D. 42; 76

Answers

Answer:

C)  42 to 79

Step-by-step explanation:

A deli offers a lunch sandwich with a meat (turkey, ham, or tuna) and a cheese (cheddar or American). Which table represents all possible outcomes of randomly selecting a meat and cheese for a sandwich? (DOK 1)

Table A

Cheddar American
Meat Meat Cheddar Meat American
Table B

Cheese
Turkey Turkey Cheese
Ham Ham Cheese
Tuna Tuna Cheese
Table C

Cheddar American
Turkey Turkey Cheddar Turkey American
Ham Ham Cheddar Ham American
Tuna Tuna Cheddar Tuna American
Table D

Cheddar American
Turkey Turkey Cheddar Turkey American
Ham Ham Cheddar Ham American
Turkey Turkey Cheddar Turkey American
Select one:

Table A

Table B

Table D

Table C

Answers

Answer:

Table C

Step-by-step explanation:

After spending $200 on market research, you discover that you can sell many more copies of your book if you price it at $20. Write new functions for both your expenses and your income from selling x copies.

Answers

Answer:

next time put the whole question but

a)  In the cost function you have a fixed cost and a variable cost.  The variable cost is the slope of the line and the fixed cost is the y-intercept so we can say:

c(x)=4x+1550

b)  If you want to break even at 50 books, let p equal the price you need to charge, then we will need to create a profit function.  Profit equals revenue minus cost.

r(x)=px and c(x)=4x+1550, so P(x) (P(x) is the Profit function:

P(x)=r(x)-c(x) so:

P(x)=px-4x-1550

And we wish to break even at 50 books, so P(50)=0:

50p-4(50)-1550=0

50p-1750=0

50p=1750

p=$35.00

So you must price the book at $35.00 so that you break even when you sell 50 books.

c)

The income function is just like the profit function that we found in the last problem, and if we use the price found in that equation we have:

P(x)=35x-4x-1550

P(x)=31x-1550

d)

The variable cost should be the same, the fixed cost SHOULD go up because you have spent $200.00 more for research.  The cost function should now be:

c(x)=4x+200+1550

c(x)=4x+1750

But now our revenue function has changes since we are changer our price to $20 per book, And since P(x)=r(x)-c(x) we have:

P(x)=20x-4x-1750

P(x)=16x-1750

Naval intelligence reports that 8 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 6 vessels are randomly targeted and destroyed, what is the probability that at least 5 vessels transporting nuclear weapons were destroyed? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

Answer: Should be about a 20.4% chance

Step-by-step explanation:

17 times 6 divided by 5

In how many different ways can a red, blue, and green marker be arranged in a tray?

Answers

Answer:

6 ways.

There are one red, one blue and one green maker. So there are 3 markers they are in 3! = 3×2 = 6 ways.

Please mark brainliest! <3

Find the measure of angle A

Plss help luvs

Answers

Step-by-step explanation:

Since the given triangle is rt.angled triangle,

or,x+35+x+65=90

or,2x+100=90

or,2x=-10

or,x=-5

Angle A=x+35

=-5+35

=30°

please give brainliest .if u have any questions related to this solution then u can ask in comment box.

Tuesday Pizza Hut made 50 pizzas. Of these
pizzas, 30% were cheese, 40% were
hamburger, and the rest were pepperoni. How
many pepperoni pizzas did Pizza Hut make on
Tuesday?
A.
15 pizzas
B.
30 pizzas
C.
35 pizzas
D.
Not Here

Answers

ANSWER: A 15 Pizza

50 x 0.3 = 15

30% = 0.3

Answer:

A

Step-by-step explanation:

100 - 30 - 40 = 30%

30% of 50 = 15 pizzas

If Shelly makes $25 an hour and gets a 15% decrease in her pay, what is her new hourly rate?

Answers

If you are trying to find the new hourly pay after the 15% decrease, you will multiply the $25 and 0.15 to get 3.75. After that, you would subtract 3.75 from the $25 and you would get $21.25. So the new hourly pay is $21.75.

Question #5 Show steps
Correct answer is C

Answers

We need to find the derivative first. Think of x/(x+2) as x(x+2)^(-1). That will allow us to use the product rule. You could also use the quotient rule if you want. I'll go with the product rule route.

[tex]f(x) = \frac{x}{x+2}\\\\f(x) = x(x+2)^{-1}\\\\f'(x) = (x+2)^{-1}-x(x+2)^{-2}\\\\f'(x) = \frac{1}{x+2}-\frac{x}{(x+2)^2}\\\\f'(x) = \frac{x+2}{(x+2)^2}-\frac{x}{(x+2)^2}\\\\f'(x) = \frac{x+2-x}{(x+2)^2}\\\\f'(x) = \frac{2}{(x+2)^2}\\\\f'(x) = \frac{2}{x^2+4x+4}\\\\[/tex]

Since we want the tangent slope to be 1/2, we'll set f ' (x) equal to 1/2 and solve for x.

[tex]f'(x) = \frac{2}{x^2+4x+4}\\\\\frac{1}{2} = \frac{2}{x^2+4x+4}\\\\1*(x^2+4x+4) = 2*2\\\\x^2+4x+4 = 4\\\\x^2+4x = 0\\\\x(x+4) = 0\\\\x = 0 \ \text{ or } \ x+4 = 0\\\\x = 0 \ \text{ or } \ x = -4\\\\[/tex]

The two x values, x = 0 and x = -4, make f ' (x) equal to 1/2.

---------

If x = 0, then y is...

[tex]y = f(x)\\\\f(x) = \frac{x}{x+2}\\\\f(0) = \frac{0}{0+2}\\\\f(0) = 0\\\\[/tex]

Showing that (0,0) is one point we're after.

If x = -4, then,

[tex]y = f(x)\\\\f(x) = \frac{x}{x+2}\\\\f(-4) = \frac{-4}{-4+2}\\\\f(-4) = 2\\\\[/tex]

Making (-4, 2) the other point where the tangent slope is 1/2.

We use the original f(x) function, and not the derivative, when determining the y coordinates of the two points. If you plugged x = 0 or x = -4 into f ' (x), you'd get 1/2. So its good practice, but not what we're after ultimately.

What is the range of the discrete finite function F(x)?
N
2-
3-
4
6
8
9
9
O A. (-00, too)
B. {2,3,6,8,9}
C. {4,7,9)
D. {2,3,4,6,7,8,9)




Pls help thank u so much

Answers

Answer:

[tex]Range = \{4,7,9\}[/tex]

Step-by-step explanation:

Given

The attached function

Required

The range of the function

A function is represented by matching an arrow from the domain to the range.

This implies that, the arrow comes from the domain to the range

From the attached function, the arrow points to 4,7 and 9

Hence, the range is:

[tex]Range = \{4,7,9\}[/tex]

3. Which two expressions are equivalent for any value of y? *
O A. 3(3y + 3) and 6y + 6
B. 3(3y + 3) and 9y + 6
O c. 9(y + 3) and 12 + 9y
O D. 9(y + 3) and 27 + 9y

Answers

Given:

The pair of expressions in the options.

To find:

The two expressions are equivalent for any value of y.

Solution:

Two expressions are equivalent for any value of y, iff they are equivalent.

[tex]3(3y+3)=3(3y)+3(3)[/tex]

[tex]3(3y+3)=9y+9[/tex]

Clearly, [tex]3(3y+3)[/tex] is not equivalent to [tex]6y+6[/tex] or [tex]9y+6[/tex]. So, options A and B are incorrect.

[tex]9(y+3)=9(y)+9(3)[/tex]

[tex]9(y+3)=9y+27[/tex]

[tex]9(y+3)=27+9y[/tex]

The expression [tex]9(y+3)[/tex] is not equivalent to [tex]12+9y[/tex]. So, option C is incorrect.

The expression [tex]9(y+3)[/tex] is equivalent to [tex]27+9y[/tex].

Therefore, the correct option is D.

ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????

Answers

Answer:

translation

Step-by-step explanation:

Answer:

I think it's dilation or none

Step-by-step explanation:

Solve the division equation using the model. (2 points)

two wholes partitioned into three equal parts with the fraction one third in each part. Below is the equation two divided by one third equals blank
two sixths
3
6
one sixth

Answers

3 16
Explanation
Factor the numerator and denominator and cancel the common factors.

Answer:

1/6

Step-by-step explanation:

in the model it shows 6 spots, 1 of those 6 are colored in.

(2/3x +1 = 5 -8) solve for x no links

Answers

2/3x+1=5-8

Combine like terms:

2/3x+1=-3

Subtract 1 from both sides

2/3x=-4

Multiply 3x from both sides

2=-12x

Now divide -12 from both sides
=-2/12

Simplify and you get -1/6 for your answer

X= 6 2/3 , 9, 12
Only serious answers plzzzzz

Answers

Answer:

x = 9

Step-by-step explanation:

4(5 + 4) = 3(x + 3) => Intersecting secants theorem

4(9) = 3(x + 3)

Open bracket by applying distributive property

36 = 3x + 9

Subtract 9 from each side

36 - 9 = 3x + 9 - 9

27 = 3x

Divide both sides by 3

27/3 = 3x/3

9 = x

x = 9

What do I have to do to find m

Answers

But D In The Plot Then divide


Which graph shows the system
x+y=2
[x2 + y2 = 9

Answers

Answer: Step-by-step explanation:

x+y=2 is liner y=-x+2

x2 + y2 = 9 is a circler with r=3 and center O(0;0)

i need help asap please

Answers

Answer:

-6,-8

Step-by-step explanation:

24 in
70 in
What is the length of the hypotenuse?

Answers

Answer:74inch

Step-by-step explanation:

Assuming this is a right triangle you do pythogreom theorm and get 74 inches

Help pls I don’t get this

Answers

Answer:

22+ r = 30

I think this is the answer

A potteruses clayat a daily rate that is normally distributed with a mean of 27pounds and a standard deviation of 8pounds. When the potterplaces an order for the clayit requires 5days for the order to arrive.7.What is the Service Level if the shop places an order when inventory reaches 155pounds

Answers

Answer:

100 percent

Step-by-step explanation:

mean ( average daily demand ) ( d )  = 27 pounds

standard deviation of demand ( std ) = 8 pounds

Lead time ( taken order takes to arrive ) ( L ) = 5 days

Reorder point = 155 pounds

Determine the service level )

Applying the equation below

Reorder point = d x L + (Z x  std )       note : Z = service factor

155 = 27 * 5 + ( Z  * 8 )

155  = 135 + 8Z

hence Z ( service factor ) = ( 155 - 135 ) / 8 = 2.5

hence the service level is ≈ 100 percent

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