Calculate the missing value. (Not drawn to scale.)

the total arc length to the nearest foot if it is rotated 125° will be 218 feet.

Diameter of the Ferris wheel = 200 feet

radius of the Ferris wheel will be = 200 / 2 = 100 feet

Now, it has travelled 125° counterclockwise.

So, the arc length travelled will be:

Arc length = 2 π r ( 125° / 360°)

Arc length = 2 (22 / 7) (100) (125 / 360)

Arc length = 218.25 feet

rounding off to the nearest whole number, we get that:

Arc length = 218 feet.

Therefore, we get that, the total arc length to the nearest foot if it is rotated 125° will be 218 feet.

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All adults in the country and considered as population. 1003 men in the country are adults that are selected.

Sampling is the process of choosing a portion of a statistical population to estimate attributes of the entire population in statistics, quality control, and survey methods. Statisticians try to get samples that are typical of the population under consideration.

Given Data

In a​ poll, 1,004 men in a country were asked whether they favor or oppose the use of​ "federal tax dollars to fund medical research using stem cells obtained from human​ embryos." Among the​ respondents, 48​% said that they were in favor.

1)Population

All adults in the country and considered as population.

2) Sample is

1003 men in the country are adults that are selected.

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Step-by-step explanation:

1 m = 4 cm

therefore,

A = 2.5 m = 2.5×1 m = 2.5×4 cm = 10 cm

B = 2.75 m = 2.75×1 m = 2.75×4 cm = 11 cm

D = 3.75 m = 3.75×1 m = 3.75×4 cm = 15 cm

Answer:

The first one

Step-by-step explanation:

The first quotient (7) is different from the other three (0.7)

Hope this helps

Translation: add or subtract to the coordinates x ,y

A = (3,2)

A'= (6,-2)

(3+3, 2-4 ) = (6,2)

Solution:

(x,y) (x+3,y-4)→

Jane wants to rent a boat and spend less than $75.

The boat costs $8 per hour, and Jane has a discount coupon for $5 off

Let t for the number of hours

Then we can write the following inequality

The discount coupon is being subtracted since it was off.

Let us solve the inequality for t

Step 1: Add 5 to both sides of the inequality

Step 2:

Divide both sides of the inequality by 8

This means that Jane could rent the boat for less than 10 hours

Answer:

A) 40

B) $ 15

Step-by-step explanation:

A)An equation for the number of​ 30-day periods until the value of the gift cards will be equal

Let x be the number of time periods for which the gift card is not used, then

For the gift card $ 155 if it is not used for x periods, then the amount that will be lost is

155 - 3.50 x---------------------(1)

For the gift card $ 135 if it is not used for x periods, then the amount that will be lost is

135 - 3x---------------------- (2)

Now when both the amount lost is equal

solving the equation, we get

20 =  0.5x

x = 40Thus the value of gift cards will be equal for 40 ,30 day periods. B)The value of each card be when they have equal​ value The two cards  will have equal value after 40 30 day periods, this denotes that at this time, the value of each card will be equal.Then substituting  x = 40, we get when they have equal​ value, the value of each card will be $15

Answer:

(-2, 4)

Step-by-step explanation:

Midpoints

x = (x1 + x2)/2

y = (y1 + y2)/2

so

-3 = (-4 + x2)/2

x2 - 4 = -6

x2 = -2

5 = (6 + y2)/2

y2 + 6 = 10

y2 = 4

The volume and the surface area of the right cylinder are equal to 468π cubic inches and 228π square inches. (Correct choice: B)

In this problem we find a right cylinder, whose height (h), in inches, and radius (r), in inches, are described in the figure and are needed to calculate the volume (V), in cubic inches, and the surface area (A), in square inches, of the solid. The formulas are described below:

Volume

V = π · r² · h

Surface area

A = 2π · r² + 2π · r · h

If we know that r = 6 in and h = 13 in, then the volume and the surface area of the cylinder are, respectively:

Volume

V = π · (6 in)² · (13 in)

V = 468π in³

Surface area

A = 2π · (6 in)² + 2π · (6 in) · (13 in)

A = 228π in²

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-3x - 4y = -5

12x - 3y = -18

Multiply the first equation by 4, and add both

-12x - 16y = -20

+

12x - 3y = -18

___________

-19y = -38

Solve for y:

y = -38/-19

y= 2

Replace y on any equation and solve for x

-3x - 4(2)=-5

-3x -8 = -5

-3x = -5+8

-3x = 3

x=3/-3

x=-1

Solution = (-1,2)

Solution

Now, the circle equation

Rewrite in standard form

Therefore the circle properties

The final answer

Answer:

D

Step-by-step explanation:

A and B don't prove anything because we have the slopes of sides LM and ON to worry about. C could mean that yes, the figure is a quadrilateral, but with those parameters it could be a square, a rectangle, or trapezoid. Therefore D is the correct answer

Diagonal Mo bisects diagonal LN.

Midpoint of line MO =  Midpoint of line LN

Option C is the correct answer.

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

In a rhombus,

- All sides are equal

- Opposite sides are parallel

- Diagonals bisect each other

- opposite angles are equal

Now,

Midpoint of line MO =  Midpoint of line LN

Since diagonals bisect each other

Thus,

Diagonal Mo bisects diagonal LN.

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Answer: Well, 10 x 3, 10 x 3

Step-by-step explanation: I think thats what you are asking?

The measure of angle A in triangle ABC is 90 degrees.

An isosceles triangle is a triangle that has at least two sides of equal length.

Since side AC the same as side AB, this forms an isosceles triangle and angle C is the same as angle B.

Hence;

Note that, the sum of the interior angle of a triangle is 180°

Hence

Angle A + Angle B + Angle C = 180°

4x + 2x + 2x = 180

Solve for x

8x = 180

Divide both sides by 8

8x/8 = 180/8

x = 180/8

x = 22.5

Now, we find measure of angle A.

Angle A = 4x

Plug in x = 22.5

Angle A = 4( 22.5 )

Measure of angle A = 90°

Therefore, the measure of angle A in the isosceles triangle is 90°.

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For the given expression (8^7)^2 = 2^y , the number equals to y is 42.

As given in the question,

Given expression :

(8⁷)² = [tex]2^{y}[/tex]

Simplify the given expression by using law of exponents :

Here the law of product of exponents or product law of exponents (power or index) has been applied under which [tex](8^{7})^{2} = 8^{7times2} = 8^{14}[/tex]

(  8¹⁴ ) =  [tex]2^{y}[/tex]

⇒ (2³)¹⁴ = [tex]2^{y}[/tex]

⇒ 2⁴² =  [tex]2^{y}[/tex]

Comparing the exponents i. e. power (or index), since the base is common, Also when two exponential numbers with common base are equal, their exponents (power or index) can be equated.

Number equals to represent the value of y is 42

Therefore, for the given expression (8^7)^2 = 2^y , the number equals to y is 42.

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In total, he spend $510 after discount.

A deduction taken from the gross amount or worth of anything, such as  a price decrease made from the standard or list price, giving clients a 10% discount to purchase tickets. A proportionate withdrawal from a loan account, typically done in exchange for cash or quick payment.

Given Data

Coats are discounted 30%

Suits are discounted 25%

Joe purchased a coat of $300

= 300 - [tex]\frac{30}{100}[/tex] × 300

= 300 - 90

= 210

He purchased coat for $210.

He purchased a suit $400.

Suits are discounted 25%

= 400 - [tex]\frac{25}{100}[/tex] × 400

= 400 - 100

= 300

He purchased suit for $300.

In total, he spend $510 after discount.

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The new speed of Ms.Torres is 119/4 miles/ hour for the driving.

For the given question;

The distance covered by Ms.Torres; 178 1/2 miles

Convert mixed fraction to fraction; 357/2 miles.

The time taken by Ms.Torres; 4 1/2 hours

Convert mixed fraction to fraction; 9/2 hours.

Speed = distance/ time

Speed = 357/2 miles/9/2 hours

Original Speed = 119/3 miles/ hour.

Now, the speed covered by her is 3/4 of the original speed.

Thus,

= (3/4)×(119/3)

= 119/4

Therefore, the new speed of Ms.Torres is 119/4 miles/ hour.

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The submarine is at a position of -775 feet or 775 feet below sea level.

Here, we assume that the submarine was originally at the sea level, which means it was at position 0.

It then descended 500 feet below sea level. Which means it is now at a position of 500 feet below sea level. This, can be written as-

0 - 500

= -500 feet

Further, it is given that the submarine descended another 275 feet. This means that from -500 feet it further descended 275 feet. This can be written as-

-500 - 275

= -775 feet

Thus, the submarine is at a position of -775 feet or 775 feet below sea level.

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Your question was incomplete. Check for full content below-

A submarine descended 500 feet below sea level. It then descended another 275 feet. Write and then evaluate a subtraction expression to determine the new position of the submarine.

We want to find the value of the expression;

When x = 4 and y = 2.

All we have to do is substitute these values; when we do that, we have;

Therefore, the answer is 30.

After combining the given expression [2/5m - 4/5 - 3/5m], the resultant expression is [-1/5m - 4/5].

So, 2/5m - 4/5 - 3/5m:

Now, evaluate the expression as follows:

Therefore, after combining the given expression [2/5m - 4/5 - 3/5m], the resultant expression is [-1/5m - 4/5].

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Ths values of a and b in the equivalent ratio illustrated on the table will be 6 and 12

It should be noted that from the information given, the relationship that exist between the numbers is illustrated as:

y = 0.8x

Therefore, when y is 4.8, the value of x will be:

y = 0.8x

x = 4.8 / 0.8

x = 6

When x = 15, the value of y will be:

y = 0.8x

y = 0.8 × 15

y = 12

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Answer:

Smallest to largest would be:

0.008, 0.086, 0.867, 0.870

Step-by-step explanation:

math.

The equation y = 2x + 3 is in its slope-intercept form in which slope = 2 and y-intercept is 3.

If the slope is 2, then this means that the rise = 2 and the run = 1.

Knowing the slope and the y-intercept, let's now graph the line.

Let's remove the indication of the slope, here is the graph of the line y = 2x + 3.

Remember that the domain is the numbers that x can take

x=5 has a domain of only 5

y = 1/x cannot have a value of x=0 because 1/0 is undefined

t = sqrt(x) cannot have negative values because sqrt( negative numbers) is not defined in the real number system

y = |x| is defined for all values of x so it has a domain of all real numbers

The pairs of angles that are linear pairs involving point F are:

A. ∠DFC and ∠CFG

D. ∠HFD and ∠CFD

E. ∠GFH and ∠GFC

F. ∠HFG and ∠DFH

When two angles that are adjacent to each other, (that is, they share the same vertex and the same side), are located on a straight line, these angles are linear pairs and are also supplementary angles.

Making reference to the image given, angles DFC and CFG share a common vertex F and a common side CF. Also, they lie on a straight line. Therefore, angle DFC and angle CFG are a linear pair.

Angles HFD and CFD share a common vertex F and a common side FD. They lie on a straight line. Thus, angle HFD and angle CFD are also a linear pair.

The same thing applies to angle GFH and angle GFC, as well as angle HFG and angle DFH.

The linear pairs are:

A. angle DFC and angle CFG

D. angle HFD and angle CFD

E. angle GFH and angle GFC

F. angle HFG and angle DFH

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We divide both sides by 5 so we can eliminate the parenthesis:

We rearrange the terms so the terms with the unkown variable y are on the left side and the other ones on the right side:

y - 10 = -1

↓ adding 10 both sides

y - 10 + 10 = -1 + 10

y + 0 = 9

y = 9

Answer:

We need to determine 50% of 100 now and the procedure explaining it as such

Step 1: In the given case Output Value is 100.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 100 = 100%.

Step 4: In the Same way, x = 50%.

Step 5: On dividing the pair of simple equations we got the equation as under

100 = 100% (1).

x = 50% (2).

(100%)/(x%) = 100/50

Step 6: Reciprocal of both the sides results in the following equation

x%/100% = 50/100

Step 7: Simplifying the above obtained equation further will tell what is 50% of 100

x = 50%

Therefore, 50% of 100 is 50

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An estimate for the number of pet dogs and cats in the United States based on a recent survey, written as a single digit times an integer power of 10 is 2 x 10⁸.

An estimate is a rough calculation or judgment arrived at when the details are not required or available.

We can apply number approximation, rounding, and scientific notations in estimation, as above.

First, the number, 183,900,000, can be approximated to 200 million pet dogs as an estimate.

Then, 200,000,000 can be written in a standard form or scientific notation by using an integer that indicates the place value in the power of 10.

Thus, 183,900,000 pet dogs can be estimated as 2 x 10⁸.

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15) Magnitude of projection is 6.325

17) Projection is <-3.6, 10.8>

19) The acute angle between and vector is 34.509°.

The magnitude of the projection of A vector onto B vector could be deduced as,

Proj V(a) ÷ V(b) = (V(a) · V(b)) ÷ |V(b)|

15)  Given, coordinates <8,-4> and <1,-3>

|V(b)| = √((1)² + (-3)²)

|V(b)| = √(1+9)

|V(b)| = √10

Proj V(a) ÷ V(b) = (V(a) · V(b)) ÷ |V(b)|

Proj V(a) ÷ V(b) = (8, -4) · (1, -3) ÷ √10

Proj V(a) ÷ V(b) = (8 + 12) ÷ √10

Proj V(a) ÷ V(b) = 20 ÷ √10

Proj V(a) ÷ V(b) = 2√10 = 6.325

17) Given, coordinates <-6,10> and <1,-3>

Projection = Proj V(a) ÷ V(b) = ((V(a) · V(b)) ÷ |V(b)|) × <1, -3>

|V(b)| = √((1)² + (-3)²)

|V(b)| = √(1+9)

|V(b)| = √10

Proj V(a) ÷ V(b) = (V(a) · V(b)) ÷ |V(b)| × <1, -3>

Proj V(a) ÷ V(b) = ((-6, 10) + (1, (-3)) ÷ √10) × <1, -3>

Proj V(a) ÷ V(b) = ((-6 × 1) + (10 × (-3)²) ÷ √10) × <1, -3>

Proj V(a) ÷ V(b) = ((-6 + 90) ÷ √10) × <1, -3>

Proj V(a) ÷ V(b) = ((84) ÷ √5) × <1, -3>

Proj V(a) ÷ V(b) = <-3.6, 10.8>

19) The vector are <2,3> and <-5,-2>. The acute angle between and vector is 34.509°.

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