A circular track has a circumference of 1/4 mile. What is the radius?

Answers

Answer 1

Answer: The formula for circumference is $C = 2 \pi r$ . We know the circumference and therefore we can plug that into the formula and solve for the radius.

$(1)/(4) = 2 \pi r$

Lets divide by 2 first.
$(1)/(8)= \pi r$

Next, lets divide by pi.
$(1)/(8 \pi)= r$
Thus the answer is $(1)/(8 \pi)$ of a mile, which is approximately $(1)/(25.13)$ of a mile.

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Solve the inequality -10w _< 20

What value for x is the solution to the following equation
10+2x-4

Answers

Answer:

-3

Step-by-step explanation:

10+2X-4= 0

2X= -10 + 4

2X = -6

X = -3

Can you give examples of situations that might be modeled with trigonometric functions?

Answers

Circular motion
Other armonic motions: pendular motion, motion of a mass attached to a spring.
Waves: light wave, sound wave
Cyclic phenomena: temperature of the earth.

Jalen gets 3 paid vacation days for every 60 days he works. Select all of the expressions that represent the number of vacation days gets per x days worked. (A) x/20 (B) 3/60x (C) x/3 (D) 0.05x (E) 20x

Answers

Answer:

A and D

Step-by-step explanation:

In this question, we are asked to select the expressions that represent the number of vacation days per x days worked.

Now, to do this, what we simply first do is to get the number of days to takes to get one paid vacation. In the question , we are made to know that he gets 3 days paid vacation for 60 days of work. The number of days to get a single paid vacation would thus be 60/3 = 20 days. This means she gets one paid vacation in 20 days.

Now, we are told after working for x days, how many paid days vacation does she get. To know this, what we do is to first know the number of 20 days in x days. That would simply be x/20. This is the number of vacation days she gets in x days.

now, we check if there are similar options to this.

D is also correct. This is because x/20 is same as 0.005x

Could somebody Please help me

Answers

Correct answer is B :)
So first you work out the total Surface area (L x W of every quadrilateral, and [L x W]÷2 for triangles)
and then for the lateral surface area, you minus the area of the vertical sides, which are the 2 triangles :)

What is a difference of squares that has a factor of x + 8?Complete the expression:

x2 – _____

Answers

Answer:

The missing value of 64 or 8². The complete expression is x²- 64 or x²- 8².

Step-by-step explanation:

It is given that the difference of squares has a factor of x + 8.

The given expression is

x²- _____

Let the missing term in the given expression be a².

Using the algebraic formula, we get

$x^2-a^2=(x-a)(x+a)$

It is given that one factor of the given expression is (x+8).

$x+a=x+8$

$a=8$

It means the value of a is 8 and the missing value of 64 or 8².

Therefore the complete expression is x²- 64 or x²- 8².

x2-64

Explanation:
The factors of x2-64 are x+8 and x-8. When the factors are multiplied together, they give:
(x+8)(x-8)= x2-8x+8x-64.
-8x+8x gives a zero. This leaves x2-64 which is a difference of two squares.

A gourment shop wants to mix coffe beans that cost $3.00 per pound with coffe beans that cost $4.25 per pound to create 25 pounds of a new blend that cost $3.50 per pound. Find the number of pounds of each nerded to produce the new blend

Answers

If the gourmet shopkeeper mix 15 pounds of coffee beans which costs 3.0$ per pound with 10 pounds of coffee beans costing 4.25$ per pound.
The mixture of 25 pounds will cost 3.5$ per pound.

It can be found using
3*x + 4.25*(25 -x) = 25*3.50

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