Sam spins a wheel shown below. What is the probability that it lands on
a number less than 6?*​

Answer:

y intercept would be 8, and this value shows the minimum wage or charge for using the computer, no matter what time you use it.

Answer:

m<GFC = 69 degrees

Step-by-step explanation:

The angle with 37 degrees is congruent with the angle on the left of 74 because of the Alternate Interior Angles Postulate

The last angle in the triangle that you don't know the degrees of is on the right of angle 74 because of the Alternate Interior Angles Postulate

So 37+74+ (the degree we don't know of the triangle) = 180 because of linear triples

180 - (37+74) = 69

So the angle on the right of angle 74 = 69

So m<GFC = 69 degrees

Answer:

Its 69

Step-by-step explanation:

the three measures will add up to 180 so all you hace to do is add the angles given and subtract that from 180 to find x

We have to find the coordinates of the point equidistant from (4,-6) and the origin, as well as on the line 2x-y=9.

We can graph the line and the points to have an idea of the problem:

We can write the distance from our point (x,y) to the point (4,-6) as:

If we replace y with the value of the equation we get:

For the distance of our point (x,y) to the origin (0,0) we get:

If the point is equidistant to both points, both distances are equal, so we can write:

We know the x-coordinate (x=3.5), so we can now calculate the y-coordinate as:

Then, the coordinates for the equidistant point is (3.5, -2)

We can graph this as:

Answer: Coordinates of the point (x,y)=(3.5,-2)

Ellie's growth rate is 2.4 pounds per month.

To find Ellie's growth rate in pounds per month, we divide the change in weight by the time period. Let's calculate it using the given information:

Determine the change in weight:

Change in weight = 0.6 pounds

Determine the time period:

Time period = 0.25 months

Calculate the growth rate:

Growth rate = Change in weight / Time period

Substituting the values:

Growth rate = 0.6 pounds / 0.25 months

To divide by a fraction, we multiply by its reciprocal:

Growth rate = 0.6 pounds * (1 / 0.25 months)

Simplifying the fraction:

Growth rate = 0.6 pounds * 4 months

Multiplying:

Growth rate = 2.4 pounds per month

Therefore, Ellie's growth rate is 2.4 pounds per month. This means that, on average, she gains 2.4 pounds every month.

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Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1

Tan(x/2) = (1 + cosx)/sinx is equivalent to the trigonometric identity cscx

An equation is an expression that can be used to show the relationship between variables and numbers.

Trigonometric identities are based on the six trigonometric ratios. They are sine, cosine, tangent, cosecant, secant, and cotangent.

It is given as:

tanФ = sinФ/cosФ, cotФ = 1/tanФ = cosФ/sinФ, cosecФ = 1/sinФ and secФ = 1/cosФ

According to half angle formula:

tan(x/2) = (1 + cosx)/sinx

Hence:

tan(x/2) + cotx = [(1 - cosx)/sinx] + (cosx/sinx)

tan(x/2) + cotx = (1 - cosx + cosx)/sinx

= 1/sinx

= cscx

Therefore tan(x/2) = (1 + cosx)/sinx is equivalent to cscx

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Answer:

\(A=502.4\ \text{inches}^2\)

Step-by-step explanation:

The radius of the ball, r = 2 inches

We need to find how many square inches of plastic does the company  need to make 10 beach balls.

Let A be the area of 1 ball. Balls are in the form of spheres. The area of a sphere is given by :

\(A=4\pi r^2\)

For 10 balls,

\(A=10\times 4\pi r^2\\\\=10\times 4 \times 3.14\times (2)^2\\\\=502.4\ \text{inches}^2\)

Hence, the area of 10 beach balls is \(502.4\ \text{inches}^2\).

Answer:

f(x) = - 2x + 4

Step-by-step explanation:

Since we are only trying to move the graph up 3 units, the slope does not change. So, it would be -2.

We also know that the 1 in f(x)= -2x + 1 is the y-intercept (y=mx+b). But again, we are moving the graph 3 units up, so we have to add 3. That makes it 4 (3+1=4).

So, the new equation would be f(x) = -2x + 4

Step-by-step explanation:

it simply means that g(x) is f(x) just shifted 3 units upwards.

that means nothing else changes, only whatever y result f(x) produces is increased by 3.

so,

g(x) = f(x) + 3 = -2x + 1 + 3 = -2x + 4

therefore, as domain and range were the whole set of real numbers, the addition of 3 does not make any difference in relation to infinity. so, they remain unchanged.

the slope stays the same (g(x) is simply a parallel line to f(x)).

the y-intercept (the y-value when x = 0) also increases by 3, and is 4.

the x-intercept (the x-value when y = 0) changes :

0 = -2x + 4

2x = 4

x = 2

the x-intercept is 2.

Answer:

5%

Step-by-step explanation:

2000/4=500 per year in interest

500/10000=.05 or 5%

First we need to calculate the areas

The area of a triangle is

b=3 in

h=6 in

we substitute the values

the area combined of the two triangles is 18 in^2

the area of the trapezoid

where

B=12in

b=6in

h=6 in

we substitute the values

so the ratio is

54:18

7 x 5 + (3 x 5)      First do the parenthesis

7 x 5 + 15             Next do multiplication (left to right)

35 + 15              Last add the two remaining numbers

50

Answer : 50

Answer:

3x - y - 6 = 0

Step-by-step explanation:

Answer:

\(n=8.6\)

Step-by-step explanation:

Corresponding sides of similar triangles have proportional side lengths.

\(\frac{n}{2}=\frac{21.5}{5} \\ \\ \frac{n}{2}=4.3 \\ \\ n=8.6\)

Answer: integer and rational

Step-by-step explanation:

Answer:

40,900   40,800   40,700   40,600   40,500

Step-by-step explanation:

The 4 will stay the same, it doesn't need to change because you are focusing on the number after it which is 1. a number has to be over 5 to round up the number. If we are trying to make a 1 , the previous number must be either a 5, a 6, a 7, an 8, or a 9

answer:35 grams

explication: because if he need 350 grams of sugar to make 100 cookies , we have to divide 350 by 100 so it gives 35

The number of grams of sugar would he need to bake 10 cookies will be 35 grams.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

To bake 100 of his favorite cookies, Mr.Wallis needs 350 grams of sugar.

Let x be the amount of sugar for 10 cookies.

The number of grams of sugar would he need to bake 10 cookies will be

x / 10 = 350 / 100

x / 10 = 3.5

x = 35 grams

The number of grams of sugar would he need to bake 10 cookies will be 35 grams.

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The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

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The total surface area of the doghouse is 1452 ft²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.

area of the roof part = 2( 13×11) + 2( 12× 10)×1/2

= 286 + 720

= 1006 ft²

surface area of the building

= 2( lb + lh + bh) -bh

= 2( 10× 11 + 10×8 + 11×8) - 10×11

= 2( 110+80+88)-110

= 2( 278) -110

= 556 -110

= 446ft²

The total surface area = 1006 + 446

= 1452 ft²

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Step-by-step explanation:

One possible equivalent equation to the given formula is:

uppercase B = 3 uppercase V ÷ h

To see why this equation is equivalent, we can isolate uppercase B in the original formula by multiplying both sides by 3/h:

3/h * uppercase V = 3/h * (one-third uppercase B h)

Simplifying the right-hand side:

3/h * (one-third uppercase B h) = uppercase B

Substituting back in the original formula gives:

uppercase B = 3/h * uppercase V

Answer:

Ight...

Step-by-step explanation:

Hi

Answer:

-13.608

Step-by-step explanation:

-1.89 * 7.2

- (1.89 * 7.2)

- (13.608)

-13.608

Answer:

-13.608

Step-by-step explanation:

Answer:

90°

-Sum of angles in a triangle= 180°

-angle C is 90°

-therefore angle A + angle B is,

180° - 90° = 90°

The solutions of the system of inequalities are:

(0, 3)

(6, 2)

Here we have the graph of a system of inequalities, the solutions are all the points on the area where the two shaded regions intercept (it would be on the purple area).

And we can see that one line is solid, the points on that line are solutions, the other line is dashed, the points on that line are not solutions.

Then the points that are solutions are:

(0, 3)

(6, 2)

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Answer:

70m-175=6m-12

70m-6m=175-12

64m=163

m=163/64

The current population of Glen Cove is 5,000 people and in the long-run, the population of Glen Cove will approach 35,000 people.

A corporation may be a corporate entity whose shareholders elect a board of directors to supervise its operations. the dissimilarity between the business and an organization is that an organization may be a sort of business that's suitable for smaller businesses and organizations, whereas a corporation may be a kind of business that's appropriate for larger enterprises and entities.

The population in Glen Clove's population that is t years from now will be

P(t) = \(\frac{35t^2 + 125t + 200}{t^2 + 4t + 40}\)

The current population can be calculated by substituting t = 0 in P(t).

So,

P(0) = \(\frac{35(0)^2 + 125(0) + 200}{(0)^2 + 4(0) + 40}\)

P(0) = 5

Thus, the current population of Glen Clove is 5 thousand.

(b)For the long run, t tends to infinity. So, evaluate the infinite limit for the given function as follows:

\(\lim_{t \to \infty} P(t)= \lim_{t \to \infty}P(t)\frac{35t^2 + 125t + 200}{t^2 + 4t + 40}\)

                     =\(\lim_{t \to \infty}\frac{t^2(35+\frac{125}{t} +\frac{200}{t} )}{t^2(1+\frac{4}{t} +\frac{40}{t^2} )}\)

                    = \(\lim_{t \to \infty}\frac{(35+\frac{125}{t} +\frac{200}{t} )}{1+(\frac{4}{t} +\frac{40}{t^2} )}\)

Now, solve further by putting the limits as follows:

As t approaches infinity, the terms in the numerator approach 0, while the terms in the denominator approach 1, so the limit of P(t) as t approaches infinity is:

lim t -> infinity P(t) = 35 / 1 = 35

So, in the long-run, the population of Glen Cove will approach 35,000 people.

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To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.