please help me to solve this​

Answer:

AL= 6.63

Step-by-step explanation:

C = 2[tex]\pi r[/tex]

C = 2[tex]\pi 10[/tex]

C = 20[tex]\pi[/tex]

[tex]AL = \frac{38}{360} 20\pi[/tex]

AL= 6.63

The length of the arc travelled by the car is 6.63 feet.

The distance along the part of circumference of any circle or any curve (arc) is called arc length of a circle.

Arc length = θ×[tex]\frac{\pi }{180}[/tex]× r

where,

θ is central angle of arc

r is the radius of circle

The diameter of a circle is any straight line segment that passes through the center of the circle and whose end points lie on the circumference of the circle.

diameter = 2× radius

According to the given question

we have

θ = 38 degrees

diameter = 20ft

⇒ radius = [tex]\frac{20}{2}[/tex]

⇒ radius = 10

Therefore,

the arc length the car traveled = 38×[tex]\frac{\pi }{180}[/tex]× 10

= 38×[tex]\frac{3.14}{180}[/tex]×10

=[tex]\frac{1193.2}{180}[/tex]

=6.63 feet

Hence, the arc length the car travelled is 6.63feet.

Learn more about the arc length here:

https://brainly.com/question/16403495

#SPJ2

Answer:

x=15

Step-by-step explanation:

The 60 degree angle and the (x+45) degree angle are both the same degree because they are vertical angles.

So to solve, just subtract 45 from 60

60-45=15

That's your answer!

Hope this helps!

Answer:

66

Step-by-step explanation:

Use the PEMDAS order. Multiplication comes before addition so it simplifies to 6(8)+(6)3

=48+18

=66

Answer:

r = 30°

Step-by-step explanation:

According to the Exterior Angle Sum Theorem, the exterior angle, which is 90°, is equal to the 2 interior angles, which are 60° and r°. We know that the angle next to the exterior angle is 90°, and since all angle sums add up to 180°, r = 30°.

Answer:

[tex]x1 = \frac{ - 3 - \sqrt{33} }{2} \\ x2 = \frac{ - 3 + \sqrt{33} }{2} [/tex]

Step-by-step explanation:

[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 3 + - \sqrt{9 + 24} }{2} \\ x1 = \frac{ - 3 - \sqrt{33} }{2} \\ x2 = \frac{ - 3 + \sqrt{33} }{2} [/tex]

Answer:

option 4

Step-by-step explanation:

f(x) = 5x + 40

f(x = - 5) = 5 ( - 5) + 40

            = -  25 + 40

             = 15

f(x) = 5x + 40

f(-5) = 5(-5) + 40

= 15

Ans: 15

Answer:

D. 5 and 14

Explanation:

5,8,11,14

Answer:

strange question...

I assume it is asking which ones can be expressed as "5x"

those are all the ones that are a multiple of 5

5, -5x , & 5x^2 satisfy that

Step-by-step explanation:

The terms that are like 5x are: -8x and 4x as they both have the variable x raised to the power of 1 (x).

Given are some algebraic terms 9x², -8x, 5x², 3, 4x, 5 and -5, out of these we need to choose the terms which are like 5x.

To determine the terms with properties similar to 5x, we need to look for terms that have the same variable (x) raised to the same power (1).

The terms that have similar properties to 5x are those with the variable x raised to the power of 1 (x) or simply x.

From the given terms:

9x² - This term has x raised to the power of 2, not 1.

-8x - This term has x raised to the power of 1 (x), similar to 5x.

5x² - This term has x raised to the power of 2, not 1.

3 - This is a constant term and does not have x.

4x - This term has x raised to the power of 1 (x), similar to 5x.

5 - This is a constant term and does not have x.

-5 - This is a constant term and does not have x.

Hence the terms that are like 5x are: -8x and 4x.

Learn more about algebraic terms click;

https://brainly.com/question/30194606

#SPJ6

Work Shown:

y = 2x^3 - 4x

dy/dt = 2*3*x^2*dx/dt - 4*dx/dt

dy/dt = 2*3*1^2*4 - 4*4

dy/dt = 8

notice how I used the chain rule for step 2.

Answer:

64 lb

Step-by-step explanation:

you can solve this problem by using a proportion, then cross multiply and divide. (better explained in yt videos).

Answer:

You have to equal the unit first,

as 1 Rupee = 100 paise,

so,

55paise: 100paise,

= 11:20

I hope it hepled : )

Answer:

See step by Step

Step-by-step explanation:

Both are correct. As long as we undo the operations that was given from the original term to both sides until we get the variable by itself., any way can be applied.

Both, Spencer and Jeremiah are correct. We can verify this by testing their methods.

Spencer's method:

[tex]6x - 2 = - 4x + 2[/tex]

[tex]6x - 2 + 4x= - 4x + 2 + 4x[/tex]

[tex]10x - 2 = 2[/tex]

[tex]10x = 2 + 2[/tex]

[tex]10x = 4[/tex]

[tex]x = \frac{4}{10} [/tex]

[tex]x = 0.4[/tex]

Jeremiah's method:

[tex]6x - 2 = - 4x + 2[/tex]

[tex]6x - 2 - 6x = - 4x + 2 - 6x[/tex]

[tex] - 2 = - 10x + 2[/tex]

[tex] - 2 - 2 = - 10x[/tex]

[tex] - 4 = - 10x[/tex]

[tex] \frac{ - 4}{ - 10} = x[/tex]

[tex]0.4 = x[/tex]

As seen, we get the correct answer by using Spencer's and Jeremiah's method. So, we can say that they both are correct.

Answer:

Step-by-step explanation:

Equation for the total volume of the bucket has been given as,

V = 4 + 2t

Here V = Total volume

t = elapsed time

Table for the input-output values,

t        0         1         2        3        4

V       4         6        8        10      12

Therefore, line passing through the given points in the table will be the graph for the equation.

Answer:

Let that rational number to be subtracted be x.Given,-5/​6 - x = 4/9= - x = 4/9+5/6= - x = 23/18x = - 23/18.

Step-by-step explanation:

Answer:

hey mate

plz mark it as brainliest

Answer:

F(g(×)1=3(6+2)-5=18×+6-5=18×+1

Step-by-step explanation:

so correct answer is the last one pa brainliest plss

Answer:

[tex](2,8][/tex]

Step-by-step explanation:

Given

The attached piece wise function

Required

The domain

To do this, we simply consider the inequalities that bound the values of x.

The inequalities are:

[tex]2 < x < 4[/tex]     [tex]4 < x < 8[/tex]   and   [tex]x \ge 8[/tex]

Combine the first two inequalities:

[tex]2 < x < 8[/tex]    and   [tex]x \ge 8[/tex]

For the inequality to be true, we must have:

[tex]2 < x \le 8[/tex]

In interval notation, the inequality is:

[tex](2,8][/tex]

Answer:

29.8

Step-by-step explanation:

a^2+b^2=c^2

a^2+7^2=11^2

a = h = 8.5

A= 1/2*b*h

A= 1/2*8.5*7

A=29.8

Answer:

Angle 1 is 58. Angle 2 is 32.

Step-by-step explanation:

The measure of Angle ACB is 90 because C is on the circle and A and B connect to form a diameter of the circle. So, Angle 1 and Angle 2 add up to 90 (total degrees in triangle - 90). Now you can add the expressions the question gave for Angle 1 and Angle 2, and you get 7x + 6. So you have the equation 7x + 6 = 90. Solve the equation and you get x = 12. Now you can plug in that value for x into the expressions for Angles 1 and 2 to find their measures.

As we know,

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

A. 4, 9, 4

[tex]4 + 9 > 4[/tex]

[tex]9 + 4 > 4[/tex]

[tex]4 + 4 < 9[/tex]

B. 3, 8, 12

[tex]3 + 8 < 12[/tex]

[tex]8 + 12 > 3[/tex]

[tex]12 + 3 > 8[/tex]

C. 8, 8, 9

[tex]8 + 8 > 9[/tex]

[tex]8 + 9 > 8[/tex]

[tex]9 + 8 > 8[/tex]

By observing the above,

the possible side lengths of a triangle are C. 8, 8, 9.

Answer:

Step by step  explanation

a

Answer:

Step-by-step explanation:

We need a system of equations to solve for this. The first equation comes from "The difference between 2 numbers is 12". Difference means subtraction, the 2 numbers will be x and y, and the word "is" means equals:

x - y = 12

The second equation comes from "...their sum is 26". The numbers are still x and y but this time we have their sum, which is what they equal when they are added together. The word "is" means equals:

x + y = 26. So we will go back up to the first equation. If y taken away from x leaves a positive number, that means that y is smaller than x. We are looking for the value of the smaller number so we will find y. Solve the first equation for x to get it in terms of y:

x = 12 + y and we sub that into the second equation:

(12 + y) + y = 26 and

12 + 2y = 26 and

2y = 14 so

y = 7. Choice B is the one you want.

Answer:

3(y+6)=30

3y + 18 = 30

18 - 30 = 3y

12 = 3y

12/3 = y

4 = y

or

y = 4

Answer:

64

Step-by-step explanation:

The mode of a data set is the number that occurs most frequently in the set.  So, just look for the number that appears the most.

I hope this helps!