Tom races his bicycle for 140 ft. A wheel of his bicycle turns 35 times as the bicycle travels this distance. What is the diameter of the wheel?
Use the value 3.14 for pie. Round your answer to the nearest tenth. Do not round any intermediate steps.

Answer:

1. tan(x) = 9/20

arctan(9/20) ≈ 24.23°

2. cos(x) = 17/32

arccos(17/32) ≈ 57.91°

3. tan(x) = 13/18

arctan ≈ 35.84°

4. sin(x) = 21/28

arcsin(21/28) ≈ 48.59°

Answer:

1    x = 24.2°

2    x = 57.9°

Step-by-step explanation:

You must memorize the definitions of the trig functions and then these problems are easy

1:   tan = opposite side/adjacent side

opp side to x is 9 and adjacent side is 20

So, tan x = 9/20

x = arctan (9/20) = 24.2°

2:   cos = adjacent side/hypotenuse

adjacent side = 17 and hypotenuse = 32

cos x = 17/32

x = arccos (17/32)

x = 57.9°

You do 3 and 4.  Hint:  Use the tan function in 3 and the sine function in 4

OK?   You can do it!!!!

[tex]cosec( \theta) = \frac{1}{sin( \theta)} [/tex]

[tex]sin( \theta) = \frac{opposite}{hypotenuse} [/tex]

[tex]cosec( \theta) = \frac{hypotenuse}{opposite} [/tex]

[tex]cosec( \theta) = \frac{21}{4 \sqrt{5} } [/tex]

Answer:

5

Step-by-step explanation:

633 yess sjs this is rhe im doing this for points

Answer: V=a3

Step-by-step explanation:

Answer:

÷3

Step-by-step explanation:

&$#*×&×$;$:$&;%%:#,¿×€$:%

Answer:

A

Step-by-step explanation:

when doing algebra like this, you need to isolate the variable using its reverse operation. For + its -.  For - its +. For * its /. For / its *.

Answer: convert 70/100 to a decimal

70 divided by 100 is gonna give us 0.7

The Answer is gonna be 0.7

This is the right Answer :3

I hope you are having a great day :3

Explanation :

70/100

=7/10

=0.7

Answer:

0.7

Step-by-step explanation:

Given:

70/100

7/10

0.7

Answer:

87.2º

Step-by-step explanation:

Complimentary angles total 90º

c + 2.8 = 90

c = 90 - 2.8

c = 87.2º

Answer:

Step-by-step explanation:

When angles are complementary, it means that they both add up to 90°.

In this case, one of the angles measures 2.8°.

So, to find the other one, we subtract 2.8 from 90.

90 - 2.8 = 87.2

The measure of the complementary angle is 87.2°

I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Sum of two number = 95

Let the first number be x, then another number be x + 15.

According to the question, x + x + 15 = 95

=>2x+15=95

=>2x+15-15=95-15

=>2x=80

=>x=40

Hence, the first number = 40

And another number = 40 + 15 = 55.

Answer:

Picture please, and thank you.

Answer:

[see below]

Step-by-step explanation:

I used a graphing program to graph the given system. I also graphed the points given.

Options B's choice lies in the double shaded area, so it would be a solution to the system.

See the graph attached!

Hope this helps you!  

Answer:

Step-by-step explanation:

I-- (3,-1)

K-- (-3,-5)

L-- (-3,-4)

J-- (2, -5)

Answer:

Angle I: (3,-1)

Angle J: (2,-4)

Angle K: (-2,-4)

Angle L: (-2,-3)

Step-by-step explanation:

I counted each unit down from each angle till I got to the x axis then counted down how many units it took to get from the angle to the line.

answer:

∠B = 70°

step-by-step explanation:

∠A = ∠B

8x + 6 = 4x + 38

4x + 6 = 38

4x = 32

x = 8

4(8) + 38

32 + 38

= 70

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!A Milkshake!!!!!

Answer:

a milkshake

Step-by-step explanation:

tha malk is shakin'

Answer:

you are absolutely correct .........

Answer: -9

Step-by-step explanation:

Given

The sum of a number and two is equal to negative 7

Suppose x is that number

[tex]\therefore x+2=-7\\\text{add -2 both sides}\\\Rightarrow x+2-2=-7-2\\\Rightarrow x=-9[/tex]

So, the number is [tex]-9[/tex].

Answer:

720°

Step-by-step explanation:

(180° x 6) - 360° = 720°

checking:

(right side) 2 angles 90° = 180°

(left side) 0ne pair of supplementary angles = 180°

(center) One angle  180° + ?°

             One angle  180° - ?°

             Equals 2 angles  180°

             Total = 720°

Answer:

the awnser would be a I'm pretty sure

Step-by-step explanation:

make the other side the same ones so like take the bottom 8 and duplicate it to the top. do the same thing with the 6 but put it on the left side. and then combine 12 + 18 and there you go.

Step-by-step explanation:

So visually youre given the function

for h(-4) it can also be written as h(-4) = y

what do you get for y when you substitute - 4 for x?

All you have to do is trace the line until you get to x=-4 and then find the y that corresponds to it (looks like around y= - 1)

for the other one h(x) = - 5

what do you get for x when you substitute - 5 for y?

what you do is similar, trace the line along the y-axis and see what x-value you get for y =-5

Answer:

3 and x = 0

Step-by-step explanation:

To find the value of h(- 4)

Locate x = - 4 on the x- axis, go vertically up to meet the graph at (- 4, 3 )

Then the value of h(- 4) = 3

For h(x) = - 5

Locate y = - 5 on the y- axis. This is the point (0, - 5)

then the value of x for which h(x) = - 5 is x = 0

Answer:

wrong question

Step-by-step explanation:

[tex]wrong question[/tex]

Answer: 15 units

Step-by-step explanation:

Given

The endpoints of the line segment are [tex](-7,10)\ \text{and}\ (-6,-5)[/tex]

The length of the line segment is given by the distance formula i.e.  

[tex]d=\sqrt{\left( x_2-x_1\right)^2+\left( y_2-y_1\right)^2}[/tex]

Insert the values,

[tex]\Rightarrow d=\sqrt{\left( -6+7\right)^2+\left( -5-10\right)^2}\\\Rightarrow d=\sqrt{1^2+\left( -15\right)^2}\\\Rightarrow d=\sqrt{1+225}\\\Rightarrow d=15.0\ \text{units}[/tex]

Therefore, the length of line segment TU is 15 units

Answer:

7.5 for 6 pounds

Step-by-step explanation:

Answer:

1501.6

Step-by-step explanation:

_____z_______________

Answer:

447.593+1054.0082x

Step-by-step explanation:

Hope this helps.

Answer:

D) 122

E) 30

F) 28

Step-by-step explanation:

Angle D:

value of angle across is equal to angle D = 122

Angle E:

value of angle across is equal to angle E = 30

Angle F:

180 - 122-30

Answer:

D) 122

E) 30

F) 28

Step-by-step explanation:

Answer:

i belive the correct answer should be A .im not 100 precent sure its, either a or c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

40 points

Step-by-step explanation:

40 + 20 = 60

100 - 60 = 40

so round three equals 40 points

Answer:

60 points in round 3

Step-by-step explanation:

Since the total is 100, and they already got 40 points (from round 1 and 2) then just subtract them from the total to find what you got in round 3.

Answer:

sure

Step-by-step explanation: