AC=A, C, equals
Round your answer to the nearest hundredth.

Answer:

[tex]12^{\circ}[/tex]  [tex]1\ feet\ and[/tex] [tex]94.28\ ft^2[/tex]

Step-by-step explanation:

Data provided in the question

The radius of a wheel = 30 feet

Number of cars attached = 30 cars

Based on the above information

The computation is shown below:

The center angle is

[tex]= \frac{360}{30}[/tex]

[tex]= 12^{\circ}[/tex]

The arc length is

[tex]= \frac{12}{360}(30)[/tex]

= 1 feet

And, the area of a sector between two cars is

[tex]= \frac{12}{360}(\pi (30)^2)[/tex]

= [tex]94.28\ ft^2[/tex]

We simply do the above calculations so that each item could be find out

Answer:

[tex]\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}[/tex]

Step-by-step explanation:

The angle [tex]\theta_1[/tex] is located in Quadrant II.

[tex]\sin(\theta_1)=\dfrac{1}{4}[/tex]

From trigonometry, we know that:

[tex]\sin(\theta)=\dfrac{Opposite}{Hypotenuse}\\$Therefore:\\Opposite=1\\Hypotenuse=4\\Using Pythagorean theorem:\\Hypotenuse^2=Opposite^2+Adjacent^2\\4^2=1^2+Adjacent^2\\Adjacent^2=16-1\\Adjacent^2=15\\Adjacent=\sqrt{15}[/tex]

Now, in Quadrant II,

Therefore, the Adjacent angle to [tex]\theta_1 =-\sqrt{15}[/tex]

Therefore:

[tex]\cos(\theta_1)=\dfrac{Adjacent}{Hypotenuse}=\dfrac{-\sqrt{15}}{4}\\\\\cos(\theta_1)=-\dfrac{\sqrt{15}}{4}[/tex]

Answer:

105 seconds

Step-by-step explanation:

To solve this, we can set up an equation.

First, let's find how far ahead Jillian is.

15*6=90

Jillian is 90 feet ahead.

Let's name the time that Samantha walks x.

7x is the distance Samantha walks.

90+6x is the distance Jillian walks.

We want to find how many seconds they have walked when the distance is equal.

So let's form an equation.

7x=90+6x

Subtract 6x from both sides.

x=90

Samantha needs to walk 90 seconds.

Jillian started 15 seconds before that.

90+15=105

Jillian had been walking for 105 seconds when the two girls had walked the same distance.

Answer:

  a.  (-1, 3)

Step-by-step explanation:

The "glide" 4 units right and up is the transformation ...

  (x, y) ⇒ (x+4, y+4)

The reflection across y=1 is the transformation ...

  (x, y) ⇒ (x, 2-y)

Combined, you have the transformation ...

  (x, y) ⇒ (x +4, 2-(y +4)) = (x +4, -2-y)

Then, ...

  K(-5, -5) ⇒ K'(-5 +4, -2-(-5)) = K'(-1, 3)

Answer:

<FBC=<DBG

Step-by-step explanation:

Answer:

No real roots or no real zeros.

Step-by-step explanation:

The given function is

[tex]f(x)=x^2-3x+18[/tex]

We need to find the number of real zeroes.

The given function is a quadratic function.

Let a quadratic function is [tex]f(x)=ax^2+bx+c[/tex].

If [tex]b^2-4ac<0[/tex], then the function has no real root.

If [tex]b^2-4ac=0[/tex], then the function has one real root with multiplicity 2.

If [tex]b^2-4ac>0[/tex], then the function has two real roots.

In the given function,

[tex]a=1,b=-3,c=18[/tex]

So,

[tex]b^2-4ac=(-3)^2-4(1)(18)=9-72=-63<0[/tex]

The value of discriminant is -63.

Therefore, the given function has no real root or no real zeros.

Answer:

The discriminant value of F is -63

F has 0 distinct real number zeros

Step-by-step explanation:

Answer:

Age (in years) | Number of kids

3                      | 1

4                      | 5

5                      | 2

Step-by-step explanation:

In the picture there is one 3, five 4s, and two 5s.

So that means there is 1 kid that is 3.

5 kids that are 4,

and 2 kids that are 5.

Answer:

3       1

4        5

5         2

Step-by-step explanation:

thats the anwser on khan

Answer:

Step-by-step explanation: (130-27)/4 = 25.75 im not sure how you want to round it

Answer:25

Step-by-step explanation: to round 25.75 you have to round it 25 but i believe 25.75 is less than 5 we simply remove the fractional part to get the answer.25.Hope this helped.

Answer:

10.7...........................................

Answer:

x=−5

Step-by-step explanation:

Steps:

Step 1 to 4 : Simplify

Steps 5: Calculating the Least Common Multiple

Steps 6: Calculating Multipliers

The correct answer for this question is x=−5

Answer: x=−5

Hope this helps.

Answer:

x = -5

Step-by-step explanation:

2/3 - 1/x = 13/15

Subtract 2/3 from each side

2/3 -2/3 - 1/x = 13/15 -2/3

-1/x = 13/15 - 2/3

Getting a common denominator

-1/x = 13/15 -2/3*5/5

-1/x = 13/15 - 10/15

-1/x = 3/15

Using cross products

3x = -15

Divide each side by 3

3x/3 = -15/3

x = -5

Answer:

A. 150 miles

B. 200 miles further

Step-by-step explanation:

Multiply 30 by 5 to find how far he traveled the first day

30 x 5 = 150 miles

For the second day, convert km to miles by making a proportion

[tex]\frac{5}{8}[/tex] = [tex]\frac{x}{560}[/tex]

x = 350 miles

Then, to find the difference, subtract the 350 - 150 = 200

Answer:

see below

Step-by-step explanation:

The mean is the sum of all the terms divided by the number of terms

The median is the middle number  when the terms are arranged smallest to largest

The mode is the number that appears most often ( most frequently)

Answer:

Median: C

Mode: B

Mean: A

Step-by-step explanation:

Answer:

i think its 320

Step-by-step explanation:

i looked it up

Answer:

320

Step-by-step explanation:

To find the total sum, divide the sum of money by the percentage.

12 1/2% = 0.125

40/0.125 = 320

Answer:

3rd choice

Step-by-step explanation:

Answer:

C on EDG

Step-by-step explanation:

Answer: C on edge

Step-by-step explanation:

the range of the speeds after the course is smaller than the range of the speeds before the course.

Answer:

[tex]5x^{x}[/tex]

Answer:

g = 28

Step-by-step explanation:

g/2 + 7 = 21

Subtract 7 on both sides.

g/2 = 21-7

g/2 = 14

Multiply 2 on both sides.

g = 2(14)

g = 28

Answer:

Solution,

[tex] \frac{g}{2} + 7 = 21 \\ or \: \frac{g + 7 \times 2}{2} = 21 \\ or \: \frac{g + 14}{2} = 21 \\ or \: g + 14 = 42(cross \: multiplication) \\ or \: g = 42 - 14 \\ g = 28[/tex]

hope this helps...

Good luck on your assignment...

Answer:

121800, 591.09375, 1/4.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

4. 121800

5. 591.09375

6. 0.25

Step-by-step explanation:

4. It's an AP with:

first term(a): 12

common difference(d): 24-18 = 6

Sn = (n/2)(2a + (n-1)d)

S200 = (200/2)[2(12) + (200-1)(6)]

= 121800

5. It's an GP with:

first term(a): 12

common ratio(r): 18/12 = 1.5

Sn= a(r^n -1)/(r-1)

S8 = 12(1.5⁸-1)/(1.5-1)

= 18925/32 = 591.09375

6. It's an infinite GP with:

first term(a) = 1/12

common ratio: 1/18 ÷ 1/12 = ⅔

Sinfinity: a/(1-r)

= (1/12) ÷ [1-⅔]

= 1/12 ÷ 1/3

= 1/12 × 3

= 1/4 = 0.25

Answer:

P=96;A=540

Step-by-step explanation:

To find the perimeter, the distance around the pool, all you need to do is add 18+18 then add 30+30. Why? Because assuming the pool is a rectangle, it would have 4 sides. The two width sizes as 18 and the two lengths as 30. Now, finding the area is even simpler. All you have to do is multiply the width by the length. 18*30.

I hope this answer helped! If you found it useful give it a thanks! It would mean a lot!

Answer:15

Step-by-step explanation:

it could be 15 but (three times) is geting me off

sorry if i was no help and all the number's wow

Answer:

the angles would either be 20, 20, 140 or 20, 80, 80

Step-by-step explanation:

Answer:

20, 20, 140 or 20, 80, 80

Step-by-step explanation:

Step-by-step explanation:

x -1 0 1 2

y -9 -6 -3 0

plot (-1,-9) (0,-6) (1,-3) (2,0)

answer.

14 and 33

Step-by-step explanation:

lets use x for the smaller number and y for the other

x+y=47

3x=y+9

x=47-y

3(47-y)=y+9

141-3y=y+9

put the liketerms together

141-9=3y+y

132=4y. (divide both sides by 4)

y=33

x=14

Answer:

14&33

Step-by-step explanation:

x+y=47

3x=y+9

x=47-y  

3(47-y)=y+9

141-3y=y+9

141-9=3y+y

132=4y

y=33

x=14

Answer:

(4+x)^2

Step-by-step explanation:

Rewrite 16 as 4^2

4^2+8x+x^2

Check the middle term by multiplying 2ab and compare the result with the middle term in the original expression.

2ab=(2)x(4)x(x)

Factor using the perfect square trinomial rule a^2+2ab+b^2=(a+b)^2, where a=4 and b=x

Anwser:

(4+x)^2

Hopefully that is the correct anwser you're looking for!

Answer:

Step-by-step explanation:

So since the question is no completed. The only way you can answer this is by simplifying it which is not the same as the value of x. It would be 3x+8

Answer:

About 5.5% decrease

Step-by-step explanation:

Here, we want to calculate the percentage increase or decrease and its value.

The first thing to do here is to check if we are going to have a decrease or an increase.

since the value before the change is higher than the value after the change, then what we have is a decrease.

Mathematically, the percentage decrease is calculated as follows;

% decrease = (old value - new value)/old value * 100%

old value = 163 feet

new value = 154 feet

% decrease = (154-163)/163 * 100%

% decrease = -9/163 * 100%

% decrease = -5.52%

Thus the best answer is about 5.5% decrease

Answer: 70

Step-by-step explanation:

Since the spot where the 3.5 and the 4 meet is 55 and there is 2 of that exact angle you can add them to get 110. 180-110 is 70 :)

Answer:

4.5 is the value of A

Step-by-step explanation:

do it doing part/whole and cross crossing :)

32/100 because it’s a percentage and 1.12/x. 1.12 times 100 to get 112, and then 32 times x = 32x. your equation right now is 32x = 112, bur we want to get rid of that x, so we are going to divide 112/32 to get the whole of 3.5 for the value of A.

Answer:

[tex]\dfrac{3a^4b}{7}[/tex]

Step-by-step explanation:

[tex]\dfrac{15a^6bc^4}{35a^2c^4}= \\\\\dfrac{15}{35}\times\dfrac{a^6}{a^2}\times\dfrac{c^4}{c^4}\times b= \\\\\dfrac{3}{7}\times a^4 \times 1 \times b=\\\\\boxed{\dfrac{3a^4b}{7}}[/tex]

Hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

4

30

8

Step-by-step explanation:

students in the group i would get 30 by adding all the frequency column together

the mean is 40/5 which is 8

the range of marks is the difference between the smallest number and the greatest number in the set so the difference of 6 and 10 which is 4

Answer:

Ans no.1) 4

Ans.no.2) 30

Ans.no3) 8

Step-by-step explanation:

no.1) to find a range we have to do subtract from the highest mark and the smallest mark

no.2) to find the total student you have to add up the frequency

no.3) to find the range first add up all the mark and count the total no. ( 5 ) then divide it by the sum of the no. and the count of no.