A car is moving at a rate of 35 miles per hour, and the diameter of its wheels is 2.5 feet. (Round 1 decimal place).
A.) Find the number of revolutions per minute that the wheels are rotating.

B.) Find the angular speed of the wheels in radians per minute.

Answer:

the other sides are 6 and 3√3

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Right Triangle

We are given a right triangle whose shortest side has a length of 3 units. This side must be opposite to the smallest acute angle of 30°.

The triangle is shown in the figure attached.

The tangent ratio relates the opposite side with the adjacent side. The formula can be applied to the angle of 30° as follows:

[tex]\displaystyle \tan 30^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 30^\circ=\frac{3}{y}[/tex]

Solving for y:

[tex]\displaystyle y=\frac{3}{\tan 30^\circ}[/tex]

Since:

[tex]\tan 30^\circ=\frac{1}{\sqrt{3}}[/tex]

[tex]\displaystyle y=3\sqrt{3}[/tex]

Now applying the sine to find the hypotenuse x:

[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 30^\circ=\frac{3}{x}[/tex]

Solving for x:

[tex]\displaystyle x=\frac{3}{\sin 30^\circ}[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}[/tex]

[tex]\displaystyle x=\frac{3}{\frac{1}{2}}[/tex]

x = 6

Let's use the variable, x, to represent the unknown number.

We can represent the words, "the sum of a number and six, as : x + 6

The words, " 2 less than the sum", can be represented as: x + 6 - 2

The words, "the product of the number and three", can be written as: 3x

Now create an equation using "is equal to" to join the expressions:

x + 6 -2 = 3x

Now combine like terms and use inverse operations to solve for x:

x + 6 -2 = 3x

x + 4 = 3x

x + 4 - x = 3x - x

4 = 2x

4/2 = 2x/2

2 = x

The unknown number is 2

Step-by-step explanation:

Identify the method that will be used to solve for x for each equation.

4x=20 division property  fo equality

x-11=9 addition property of eqaulity

5x+6x=22 Combining Like terms

5(x-2)=30 distibute property

HOPE THIS HELPS!!!!!!!!

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Answer:

67 cents

Step-by-step explanation:

Answer:

67 cents

Step-by-step explanation:

im smart

Answer:

Answer:

FGCG

Step-by-step explanation:

Answer:   72 dollars

Step-by-step explanation:

each=1

1 record cost 9$

8 record costs (9)(8)$

I did multiplication here

(9)(8)=72 $

Answer:

0.06

Step-by-step explanation:

hope that helps :))

9514 1404 393

Answer:

  384 cm²

Step-by-step explanation:

It is always a good idea to take a look at what you have and what you are being asked before you go launching into formulas. Then you can pick the formula(s) appropriate to your needs.

__

Your pyramid has a square base, so four (4) triangular faces. The area being asked for is the total of the areas of the square base and those triangular faces.

The formula for the area of a square is ...

  A = s² . . . . . where s represents the side length

Here, the side of the square is 12 cm, so the area of the square base will be ...

  A = (12 cm)² = 144 cm²

__

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where b is the base length and h is the altitude

In this problem, you're not given the altitude of the triangular face (also called the "slant height" of the triangle). Instead, you're given the height of the pyramid. So, you have to determine the slant height.

Consider the cross section you get when you cut the pyramid with a vertical plane through the peak and the middle of opposite sides. It will be an isosceles triangle with a base equal to the side length of the pyramid, and side lengths equal to the slant height of the pyramid face. See the attachment for an idea of what this looks like.

In order to determine the length of the side of that cross-section triangle, draw its altitude. That is the 8 cm height of the pyramid. Then use the Pythagorean theorem to find the hypotenuse of the right triangle with legs 6 cm and 8 cm:

  slant height = √(8² +6²) = √100 = 10 . . . . cm

Now, we can find the area of one of the four triangular faces:

  A = (1/2)(12 cm)(10 cm) = 60 cm²

__

The surface area of the pyramid is then ...

  surface area = base area + 4 × triangular face area

  surface area = 144 cm² + 4 × 60 cm² = (144 +240) cm²

  surface area = 384 cm²

Answer:

4

Step-by-step explanation:

Let the number be x.

3 + 4x = 19

4x = 19 - 3

    = 16

x = 16 ÷ 4

x = 4

The number is 4.

Answer:

96

Step-by-step explanation:

12 times 4 gets you 48

48 times 2 gets you 96

Answer:

Step-by-step explanation:

In order to establish that the sample is truly random you need to obtain two main factors. First, is making sure that the random sample of both groups chosen (men and women) are equal in proportion to the overall population. Meaning both groups must be the same percentage of the overall population of the same gender. The second factor that you need to make sure of is that all chosen individual's had the exact same probability of being chosen from the population and no external factor influenced the probability of them being chosen for the study.

Answer:

x = - 9, x = 2

Step-by-step explanation:

[tex] {x}^{2} - 11x + 18 = 0 \\ \\ {x}^{2} - 9x - 2x + 18 = 0 \\ \\ x(x +9 ) - 2(x + 9) = 0 \\ \\ (x + 9)(x - 2) = 0 \\ \\ x + 9 = 0 \: \: or \: \: x - 2 = 0 \\ \\ x = - 9 \: \: or \: \: x = 2 \\ [/tex]

Answer:

9.7

Step-by-step explanation:

When rounding 9.66 to one decimal place we use One Decimal Place Rule #2. Therefore, the answer to "What is 9.66 rounded to 1 decimal place?" is:

your answer would be 9.7

please mark brainelist!!!

Answer:

The answer to the question provided is

[tex] \frac{9}{5} [/tex]

Answer:

D and F

Step-by-step explanation:

Numbers such as 0,1,2,3 etc are Whole numbers

Answer:

Your answer is D and F

Step-by-step explanation:

because only 951 and 3 are the numbers with no points and whole numbers require this..

HOPE THIS HELPS YOU

PLS MARK AS BRAINLIEST

Answer:

3.6

Step-by-step explanation:

if 0.45 is 1 pound then you could do 8 x 0.45 because the baby is 8 pounds

Answer: -7/5

Step-by-step explanation:

-4(1/5)⋅(1/3)

Convert -4(1/5) to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

− (4 +1/5) ⋅(1/3)

 Add 4 and 1/5

-21/5  ⋅ 1/3

Cancel the common factor of 3.

Move the leading negative in − 21 /5 into the numerator.

−21/5 ⋅ 1/3

Factor 3 out of −21.

3 (−7)/5 ⋅ 3 /1

Cancel the common factor.

Rewrite the expression.

−7 /5

Answer:

- 1 2/5

Step-by-step explanation:

make -4 1/5 and improper fraction which would be -21/5x1/3 then u multiply across and ur answer is -21/15. Then you havw to change it to a mixed number and you would get 1 6/15. This number can be simplified by 3 so it would be - 1 2/5

Answer:

ne hamla que estas no habla espanol

Step-by-step explanation:

que

2/3 is the correct answer

Answer:

-1...................

Step-by-step explanation:

x+3-x-4

o-1

-1

Answer :

-1

Explanation:

please mark me brainliest and follow me my friend.

Answer:

The answer is false

Answer: y = 10x+14  (choice A)

===================================

Work Shown:

y = 7(x+2)+3x

y = 7x+7*2+3x ..... distribute

y = 7x+14+3x

y = (7x+3x)+14

y = 10x+14

This is in y = mx+b form with m = 10 as the slope and b = 14 as the y intercept.

Answer: The answer is A (y=10x+14)

Hi.. U should do like this

4/5 mile in 50 min

X mile in 60 min

X=5/4 mile

Answer:

5 milesss

:)))

Answer: I say B its a bit hard but i think i got it not  sure but Good Luck!

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation:

When dilating a shape, you need to take the side length and multiply it by the scale factor.

Answer: last week she earned $364.

Step-by-step explanation:

I DO NOT KNOW JUST GIVE ME A SECOND.

Answer:

100 :P when u read to fast n then put 2500 lol

Step-by-step explanation: