A convertible is traveling at 45miles per hour and it’s wheels have a diameter of 48 inches . How many complete revolutions do the wheels make in one minute

Answer:

A. The side opposite the 60° angle has a length of √3/2

C.Sin(60°)=√3/2

E.The other acute angle of the triangle is 30°

Step-by-step explanation:

The diagram has been attached to the answer

A. The side opposite the 60° angle has a length of

B. The side opposite the 60° angle has a length of .

C. sin(60°) =

D. sin(60°) =

E. The other acute angle of the triangle is 30°.

Answer

The side opposite the 60° angle has a length of the square root of 3/2

Opposite side of the 60° angle has a length of √3/2

sin(60°) = the square root of 3/2

Sin(60°)=√3/2

The other acute angle of the triangle is 30°

Proof:

Total angle in a triangle=180°

180°-60°-90°

=30°

Answer:

A, D, E

Step-by-step explanation:

I do is big smart

Answer:

see explanation

Step-by-step explanation:

(a)

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 8 when x = 10. then

8 = 10k ( divide both sides by 10 )

0.8 = k

y = 0.8k ← equation of proportion

(b)

when x = 25, then

y = 0.8 × 25 = 20

(c)

when y = 25, then

25 = 0.8x ( divide both sides by 0.8 )

x = 31.25

Answer:

$60.42

Step-by-step explanation:

0.06 x $57 = $3.42

$57 + $3.42 = $60.42

Hope this helped! :)

Answer: 0.014

Step-by-step explanation: 5 divided by 18!

Answer:

Step-by-step explanation:

the x-intercepts of the graph are the zeros of the quadratic function

Answer: A

Step-by-step explanation:

Answer:

39.936 ( not rounded )

Step-by-step explanation:

Use Pythagorean theorem

a^2 + 6.4^2 = 9^2

height = 6.24 (rounded to nearest hundredth)

1/2 * base * height = area

1/2 * 12.8 * 6.24

= 39.936 ( not rounded )

Answer:

-3

Step-by-step explanation:

Substitute negative 3 as x and you get this -(--3). Then the two negatives make a positive and it's -(3) which becomes -3.

Answer:

He has ran 15 miles and passed the bank 12 miles from his location where he is at.

Step-by-step explanation:

WHY WAS HE ROBBING A BANK?????????

Answer:

Step-by-step explanation:

His distance from the bank can be modeled using an equation in the form y=mx+b. Since he has already ran 3 miles, the "b" is equal to 3, and can be added to how many miles he runs on from now on. If he can run 5 miles per hour, then that means every hour, he will run 5 miles. We can represent how many hours have passed as x. This would make our equation y=5x+3.

After 3 hours he has gone 5(3)+3 miles, or 18 miles

Answer:

5√17=

20.6

Step-by-step explanation:

[tex]adj \: = 5 \\ opp \: = 20 \\ hyp \: = \: \\ pythagoras \: theorem \: \: = \\ {hyp}^{2} = {opp}^{2} + {adj}^{2} [/tex]

[tex] {hyp \:}^{2} = {20}^{2} + {5}^{2} \\ {hyp }^{2} = 400 + 25 \\ {hyp}^{2} = 425 \\ \sqrt{ {hyp}^{2} } = \sqrt{425} [/tex]

[tex]hypotenuse \: = 5 \sqrt{17} [/tex]

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the tree is 20.6257 feet.

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The digram for the given condition is given below. Now, in ΔABC, the tangent value for ∠A can be written as,

tan(38°) = BC/AB

tan(38°) = 5 feet / AB

AB = 6.3997 feet

Now, in ΔABC and ΔADE for ∠A the value of the tangent can be written as,

tan(38°) = BC/AB = ED/AD

5/6.3997 = ED/(20 + 6.3997)

ED = 20.6257 feet

Hence, the height of the tree is 20.6257 feet.

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Answer:

B: x>4

Step-by-step explanation:

You want to make an inequality first:

36+4x>52

4x + 36 − 36 > 52−36

4x > 16

4x ÷ 4 > 16 ÷ 4

x > 4

Answer:   e

Step-by-step explanation: 12/16          6/8    3/4

Answer:

B and E.

Step-by-step Explanation:

B: 6/8

    6*2=12

    8*2=16

    12/16

E: 3/4

    3*4=12

    4*4=16

    12/16

Hope this helps!!!!!

Answer:

Its -3,2,7

Step-by-step explanation:

Simply put, you plug in all values greater than -2. Which is what thst function tells you.

Answer:

The correct answer is - The setting may discourage honest responses.

Step-by-step explanation:

In this particular setting of research and interview regarding this research may not produce hones results as the question is too direct to ask students if they had ever used drugs.

Research should be anonymous and should avoid the questions that can lead to bias results like this case that may lead to dishonest results.

Thus, the correct answer is : The setting may discourage honest responses.

Answer:  The total number of vehicles in the bar graph does not add up to 30.

The spacing between the bars should be equal.  

It would be helpful to put the number of each type at the top of its bar.

It may be useful to give the location and time/date of the observation in the title of the graph.

Step-by-step explanation:  The total 12 + 8 + 6 = 26.

My other observations would depend on the purpose of the graph. Many people use color to make the graph more visually appealing.

Answer:

She deposited £10,000 in the 5% yield account and deposited £20,000 in the 8% yield account

Step-by-step explanation:

Let the amount she put in each account be £x and £y respectively

Total amount deposited is ;

x + y = 30,000 ••••••(i)

Now, let’s look at the earnings:

in the £x , amount earned would be;

5/100 * x = 5x/100

For the £y, amount earned would be;

8/100 * y = 8y/100

Adding both gives the total which is £2,1000

5x/100 + 8y/100 = 2,100

Multiply through by 100

5x + 8y = 210,000 ••••••••(ii)

From the first equation, we know that

x = 30,000 -y

Let’s put this into the second

5(30,000-y) + 8y = 210,000

150,000-5y + 8y = 210,000

3y = 210,000 -150,0000

3y = 60,000

y = 60,000/3

y = £20,000

So mathematically;

x = 30,000-y

x = 30,000 -20,000

x = £10,000

Answer:

6

Step-by-step explanation:

6 is the answer

? =6

Answer:

6

Step-by-step explanation:

1. 17 * 10 = 170

2. 17 * 4 = 68

3. 170 - 68 = 102

4. 102 / 17 = 6

Answer:

A.

Step-by-step explanation:

Debit card design really has nothing to do with banks but has to do with personal preference. If you are comparing banks, you would want to see when they are open, how much you would need to deposit to start an account, that kind of stuff.

Answer:

Adult ticket: $7

Child ticket: $2

Step-by-step explanation:

Set up a system of equations where a represents the cost of one adult ticket and c is the cost of one child ticket:

2a + 3c = 20

a + 4c = 15

Solve by elimination by multiplying the bottom equation by -2:

2a + 3c = 20

-2a -8c = -30

Add them together:

-5c = -10

c = 2

Now, we can plug in 2 as c to find the value of a:

2a + 3c = 20

2a + 3(2) = 20

2a + 6 = 20

2a = 14

a = 7

The solution is

The cost of one adult ticket = $ 7

The cost of one child ticket = $ 2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of one adult ticket be = x

Let the cost of one child ticket be = y

Now , for Family 1 :

2 adults and 3 children and costs a total of £20 to enter the park

Substituting the values in the equation , we get

2x + 3y = 20   be equation (1)

Now , for Family 2 :

1 adult and 4 children and costs a total of £15 to enter the park

Substituting the values in the equation , we get

x + 4y = 15   be equation (2)

On simplifying the equations , we get

Multiply equation (2) by 2 , we get

2x + 8y = 30   be equation (3)

Subtracting equation (1) from equation (3) , we get

5y = 30 - 20

5y = 10

Divide by 5 on both sides of the equation , we get

y = 2

So , the cost of one child ticket is $ 2

Now , substituting the value of y in equation (2) , we get

x + 4y = 15

x + 4 ( 2 ) = 15

x + 8 = 15

Subtracting 8 on both sides of the equation , we get

x = 15 - 8

x = 7

So , the cost of one adult ticket is $ 7

Hence , the value of x is $ 7 and value of y is $ 2

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Answer:

Sushil got 15 sweets

Step-by-step explanation:

we can use law of indices property as shown below

a:b:c = ax:bx:cx

that if we multiply each term of ratio by same number , the ratio does not change

____________________________

given

Malachy, Sushil and Fiona share some sweets in the ratio 1:3:1.

let

Malachy gets 1x sweets

sushil gets 3x sweets

Fiona gets 1x sweets

but given that

Malachy got 5 sweets

thus

1x = 5

x = 5

Sushil got 3x sweets = 3*5 = 15 sweets.

Sushil got 15 sweets.

THIS IS THE COMPLETE QUESTION BELOW;

Complete the paragraph proof. Given: ∠ABR and ∠ACR are right angles AB ≅ BC BC ≅ AC Prove: bisects ∠BAC

It is given that ∠ABR and ∠ACR are right angles, AB ≅ BC and BC ≅ AC Since they contain right angles, △ABR and △ACR are right triangles. The right triangles share hypotenuse AR, and reflexive property justifies that AR ≅ AR. Since AB ≅ BC and BC ≅ AC, the transitive property justifies AB ≅ AC. Now, the hypotenuse and leg of right △ABR is congruent to the hypotenuse and the leg of right △ACR, so △ABR ≅ △ACR by the HL congruence postulate. Therefore, by CPCTC, and bisects ∠BAC by the definition of bisector.

Answer:

The answer is ∠BAR=∠CAR

Step-by-step explanation:

From the question, In the ΔABR and ΔACR , AB=AC=X

CHECK THE ATTACHMENT FOR DETAILED STEP BY STEP EXPLANATION:

Answer:

A) <BAR = <CAR

Step-by-step explanation:

Edge

The function with the lowest output values as x approaches infinity is A.

The function with the greatest output values as x approaches infinity is B

Answer:

x=6

Step-by-step explanation:

4x-4=2x+8

Get all x's to one side. Subtract 2x from both sides.

2x-4=8

Isolate x. Add 4 to both sides.

2x=12

Divide both sides by 2 to get x.

12/2=6

x=6

Answer:

2 A.K.A. C. this answer is really late i think but for people in the future this is the answer lol

Answer:

Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.

Step by step explanation:

The first scenario is the best match for the increasing slope, (leaving the house and accelerating) rapidly increasing slope (increasing speed on ramp) and level line (constant speed on the highway).

The best interpretation of the graph is,

Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.

When a point or an object moving in a straight line , the acceleration is the rate at which velocity changes with time, in terms of both speed and direction.

Here, we have,

The first scenario is the best match for the increasing slope, (leaving the house and accelerating) rapidly increasing slope (increasing speed on ramp) and level line (constant speed on the highway).

Hence, The best interpretation of the graph is,

Sonya left her house and accelerated as she drove toward the highway entrance. She increased her speed as she drove up the ramp to the highway and then drove a constant speed on the highway.

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Answer:

£54 and 168.75 mins

Step-by-step explanation:

Answer:

8.8

Step-by-step explanation:

set up a system

let x be sour keys and y be chocolate bars

2.65=15x+2y

3.35=10x+3y

then solve

X turns out to be 0.05

y turns out to be 0.95

multiply : 24*0.05=1.2

multiply : 0.95*8=7.6

add : 1.2+7.6 = 8.8

Answer:

B = {(5, 3), (−2, −9), (−3, 8), (9, 3)}

Step-by-step explanation:

A function has no repeating inputs (x-values). One input is assigned to exactly one output.

In set 'A', the input of two is repeated.

A = {(2, 7), (1, −5), (7, 2), (2, −9)}

In set 'B', there are no repeating inputs.

Set 'B' is a function.

Brainilest Appreciated.

Answer:

I agree with your answer C!!

Step-by-step explanation: