Solve the inequality and enter your solution as an inequality comparing the variable to a number x+25>50

Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle. This can be obtained by finding each shaded area and then adding them.

From the question we can say that the Hexagon has three shapes inside it,

Also it is given that,

An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon.

From this we know that equilateral triangle is the smallest, then square, then regular pentagon and then a regular hexagon.

A pentagon is shown inside a regular hexagon.

An equilateral triangle is shown inside a square.

The expression for total shaded region would be written as,

Shaded area = Area of first shaded region + Area of second shaded region

Hence,        

⇒ Shaded area  = area of the hexagon – area of the pentagon + area of the  square – area of the equilateral triangle.

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Answer:

Regular Hexagon

Regular Pentagon

Square

Equilateral Triangle

Step-by-step explanation:

E2020 Geometry B!! :3

The measure of the angle x or the value of the x is 53.13 degrees if an interior designer is sketching a rough outline of a corner room of an office building.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

The area of triangle A = 1728 square feet

The base length of the triangle b = 72 feet

Let h be the height of the triangle

Area = (1/2)b×h

1728 = (1/2)72×h

h = 48 feet

Half of the 72 is 72/2 = 36

As we know,

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

Applying trigonometric ratio:

tan(x) = 48/36

tan(x) = 1.333

x = 53.13 degrees

Thus, the measure of the angle x or the value of the x is 53.13 degrees if an interior designer is sketching a rough outline of a corner room of an office building.

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Answer:

OK

Let x=the number

2x=double the number

2x+5=the doubled number increased by 5

And we are told that this equals -47

sooooo

2x+5=-47 subtract 5 from each side2x=-47-5=-52

2x=-52

x=-26------the number

CK

2*(-26)=-52

-52 increased by 5=-52+5=-47

-47=-47

Hope this helps- Clara ☆*: .｡. o(≧▽≦)o .｡.:*☆

Step-by-step explanation:

❄ Hi there,

let us start by letting the number be r. The problem tells us that r is doubled and then increased by 2.

This is what it looks like –

[tex]\triangleright \ \sf{2r+2}[/tex]

Also the result is 14 more than 5r.

We end up with an equation that looks like this –

[tex]\triangleright \ \sf{2r+2=14+5r}[/tex]

To find the number we should solve the equation for r –

[tex]\large\begin{gathered} \sf{2r+2=14+5r} . \ Solve \ for \ r: \\ \sf{2r-5r+2=14}\\ \\ \sf{-3r+2=14}\\\sf{-3r=14-2}\\\sf{-3r=12}\\\sf{-r=4}\\\sf{r=-4}\end{gathered}[/tex]

❄

Answer:

Step-by-step explanation:

Answer:

[tex]12.50 \space\ h = 2500.75[/tex]

Step-by-step explanation:

We know from the question that the student earned $12.50 per hour.

Using this information, we can say that if the student worked for h hours, they would make a total of 12.50 × h dollars.

We also know that the total money they earned is $2500.75.

∴ Therefore, we can set up the following equation:

[tex]\boxed {12.50 \times h = 2500.75}[/tex]

From here, if we want to, we can find the number of hours worked by simply making h the subject of the equation and evaluating:

h = [tex]\frac{2500.75}{12.50}[/tex]

  = 200.6 hours

Answer: 12.50h = 2500.75

Step-by-step explanation:

We know from the question that the student earned $12.50 per hour.

Using this information, we can say that if the student worked for h hours, they would make a total of 12.50 × h dollars.

We also know that the total money they earned is $2500.75.

Answer:

III

Step-by-step explanation:

This is a fact - A point having a negative abscissa and negative ordinate is in quadrant III.

Step-by-step explanation:

Answer:

16u²

Step-by-step explanation:

It is a regular parallelogram

we have points (3, 4) and (4, 0).

we also have the origin which is (0, 0) and the difference between (0, 0) and (4, 0) on the x axis is 4 and since it is a regular shape, that means the top right corner = (3, 4) + (4, 0), so it is (7, 4). we know the base is 4 now. the vertical height = (7, 4) - (1, 0) which is (6, 4). now we are looking at difference in y. which is between (4, 0) and (6, 4), so the difference is 4.

now we just do 4 x 4 since it is bh and you get 16 units ²

Using proportions, the length of x is of 2.9.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The triangles are similar, that is, they have the same angles, hence the corresponding sides are proportional, by the following rule of three:

x/7 = 5/12

Applying cross multiplication:

12x = 35

x = 35/12

x = 2.9.

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Answer:

  32.4 inches

Step-by-step explanation:

Sam wants the increase to be 8% of 30 inches.

The amount of increase Sam wants in his waist size is ...

  8% × 30 in = 0.08×30 in = 2.4 in

Adding the wanted increase to his present size would make Sam's waist size be ...

  30 in + 2.4 in = 32.4 in

Sam wants his waist size to be 32.4 inches.

__

Additional comment

The larger size can also be computed from ...

  30 +8%×30 = (1 +8%)×30 = 1.08×30 = 32.4 . . . inches

Answer:

x - 14.95 = 12.48

x = 27.43

Step-by-step explanation:

The second store offered the better buy at the price of $92.00.

What is better buy?

Better buy refers to the lowest price out of the prices offered by the three stores.

In order to determine the lowest price, the no discount price of the first store needs to be compared to the prices of  two other stores, bearing that after-discount price is the pre-discount price multiplied by 1 minus the discount rate.

First store price=$95.00

Second store after-discount price=pre-tax discount price*(1-discount rate)

pre-discount price=$115

discount rate=20%

Second store after-discount price=$115*(1-20%)

Second store after-discount price=$92.00

Third store after-discount price=pre-tax discount price*(1-discount rate)

pre-discount price=$105

discount rate=10%

Third store after-discount price=$105*(1-10%)

Third store after-discount price=$94.50

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The deductible mileage cost has reduced by 2.16%

What is a percentage change?

A percentage change  compares the difference between the new amount and the old amount to the old amount.

I mean the percentage change is the new deductible mileage cost minus the old deductible mileage cost divided by the old deductible mileage cost

New deductible mileage cost= 57.5 cents

Old deductible mileage cost= 56 cents

percentage decrease=(56-57.5)/57.5

percentage decrease=-2.61%

The negative sign in -2.61% means that there was a percentage decrease in deductible mileage cost by 2.61%

In essence, the deductible mileage cost has been reduced by 2.16%

Hundredth of a percent means two decimal places.

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Answer:

[tex]\frac{263}{999}[/tex]

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

when you divide 576 by 9 you get 64 which is a perfect cube

cbrt(64) = 4

so your answer is 9

The correct ratios are: cos 27=23/RT, sec 27= 23/10.4 and cot 63 = RT/10.4

What is trigonometry  ratio in tringle?

In triangle RST, angle T= 90° and angle R= 63°

As the total of all angle in any triangle is 180°, so the measure of the angle S = 180°- (90°+63°)

S= 180°- 153°

S= 27°

According to the rule of trigonometric ratios,

cos(θ) = [tex]\frac{hypotenuse}{opposite}[/tex]

sec(θ) = [tex]\frac{hypotenuse}{adjacent}[/tex]

cot(θ) = [tex]\frac{adjacent}{opposite}[/tex]

In respect of angle R (63°), side RS(23) is hypotenuse , ST(10.4) is opposite and RT is adjacent.

cos(63°) = [tex]\frac{23}{10.4}[/tex]

sec(63°) = [tex]\frac{23}{RT}[/tex]

cot(63°) = [tex]\frac{RT}{10.4}[/tex]

Now, in respect of angle S(27°), hypotenuse is RS(23), adjacent is ST(10.4) and opposite is RT.

So, cos(27°) = [tex]\frac{23}{RT}[/tex]

sec(27°) = [tex]\frac{23}{10.4}[/tex]

cot(27°) = [tex]\frac{10.4}{RT}[/tex]

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The values that exist two standard deviations above and below the mean are 681 and 265.

The given parameters exist:

Mean = 473

Standard deviation =104

The values above and below the mean exist calculated utilizing:

[tex]$x=\bar{x} \pm n \sigma$[/tex]

In this case n = 2.

So, we have, [tex]$x=\bar{x} \pm 2 \sigma$[/tex]

The value above is:

x = 473 + 2 [tex]*[/tex] 104 = 681

The value below is:

x = 473 - 2 [tex]*[/tex] 104 = 265

Therefore, the values that exist two standard deviations above and below the mean are 681 and 265.

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The probability of getting red balls is 0.25, probability of getting peaches from fruits is 0.7, probability of getting green tokens is 0.2, probability of getting golf balls is 0.867.

Given A)Number of green marbles=5,number of red marbles=3, number of blue marbles=4,

B) Number of peaches=7,number of apples=3,

C) Number of red token=10, number of blue token=6,green tokens=4,

D)Number of golf balls=13, number of tennis balls=2.

We are required to find the following probabilities:

A) Probability of getting red marble=Number of red marbles/ Total marbles.

=3/12

=1/4

=0.25

B) Probability of getting peaches=Number of peaches/Total fruits.

=7/10

=0.7

C) Probability of getting green tokens=Number of green tokens/Total tokens

=4/20

=1/5

=0.2

D)Probability of getting golf balls= Number of golf balls/ Total balls.

=13/15

=0.867

The sequence will be from C-A-B-D.

Hence the probability of getting red balls is 0.25, probability of getting peaches from fruits is 0.7, probability of getting green tokens is 0.2, probability of getting golf balls is 0.867.

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By using subtraction of yellow areas from the entire squares, the areas of the inscribed shapes are listed below:

The areas of the inscribed shapes can be easily found by subtracting the yellow areas from the square, in order to find the value of green areas. Now we proceed to find the result for each case by using area formulae for triangles:

Case A

A = 6² - 0.5 · (3) · (6) - 0.5 · (3) · (6)

A = 36 - 18

A = 18 units

Case B

A = 6² - 4 · 0.5 · (2) · (4)

A = 36 - 16

A = 20 units

Case C

A = 6² - 0.5 · 6² - 0.5 · 6 · 2

A = 36 - 18 - 6

A = 12 units

Case D

A = 6² - 2 · 0.5 · 6 · 4

A = 36 - 24

A = 12 units

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Answer:

8 types of sandwiches.

Step-by-step explanation:

she has choices of :

1 turkey sandwich

1 roast beef sandwich

1 ham sandwich

1 white sandwich

1 white bread sandwich

1 American sandwich

1 swiss sandwich

1 colby cheese sandwich.

Answer:

8 types

Step-by-step explanation:

she had alot of choice like :

Turkey, roast beef, ham, swiss, corby cheese, wheat or whitebread and american sandwhich .

Using proportions, it is found that:

A. The vegetables weigh 66 pounds.

B. 0.5 pints are dispensed after 25 seconds.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

4 and 1/8 pounds is equivalent to 4.125 pounds. Since each pound has 16 ounces, the weight of the vegetable is of:

W = 16 x 4.125 = 66 pounds.

Every second, 0.16 gallons are dispensed. Hence the amount dispensed in 25 seconds is:

A = 25 x 0.16 = 4 gallons.

Each gallon has 8 pints, hence the number of pints dispensed is:

4/8 = 0.5 pints.

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Answer:

6 Meters

Step-by-step explanation:

If the car is driving at a constant velocity of 36 m/s and accelerates at -6.0 m/s ^2 to a stop, then the distance of the car decelerates to a stop in 6 seconds.

a=v/t ->>> 6= 36/t

By critically observing the graph, we can infer and logically deduce the following points:

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, the data of a linear graph are directly proportional and as such, as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.

By critically observing the graph which models the changes in temperature over a specific period of time (in years), we can infer and logically deduce the following points:

In conclusion, there are four (4) points of intersection on this graph.

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From the given information, a exists jointly proportional to b and c.

then [tex]$$a \propto b c$[/tex]

Therefore, the value of a exists 2.

Given, a exists jointly proportional to b and c.

[tex]$$a \propto b c$[/tex]

Taking K as the constant of proportionality.

a = K b c

For b = 8 and c = 9, the value of a = 4

4 = K(8)(9)

4 = 72 K

Dividing the equation by 72, we get

[tex]$K=\frac{1}{18}[/tex]

Using the value of K in the equation:

[tex]$a=\frac{b c}{18}[/tex]

Substitute the values of b = 2 and c = 18, in the above equation

[tex]$a=\frac{2 \times 18}{18} \\[/tex]

a = 2

Therefore, the value of a exists 2.

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i) The coefficients of the equation of the line are a = 20 / 3 and b = 160 / 21.

ii) The equation of the line in standard form is (20 / 3) · x + (160 / 21) · y = - 20.

iii) The x-intercept and y-intercept of the line are (- 3, 0) and (0, - 21 / 8).

iv) Two alternative solutions of the equation of the line are 20 · x + (160 / 7) · y = - 60 and 140 · x + 160 = 420.

In this problem we know that form of an equation of the line and two points, on which the line pass through. i) We determine the values of the coefficients a and b by solving the following system of linear equations:

5 · a - 7 · b = - 20

- 3 · a = - 20

Whose solution is a = 20 / 3 and b = 160 / 21.

ii) The equation of the line in standard form is (20 / 3) · x + (160 / 21) · y = - 20.

iii) Now we find the coordinates of the intercepts of the line:

x-Intercept

(20 / 3) · x = - 20

x = - 3

y-Intercept

(160 / 21) · y = - 20

y = - 21 / 8

iv) We can find two alternative solutions by using multiples:

20 · x + (160 / 7) · y = - 60

140 · x + 160 = 420

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goal:tan^5x=tanx(sec²x-2sec²x+1)

proof: from l.h.s to r.h.s

tan^5x=(tanx)^5=((tanx)(tan²x)(tan²x))

from trigonometry identity

(tan²x)=sec²x-1

tan^5x=(tanx(sec²x-1)(sec²x-1))

=(tanx(sec^4x-sec²x-sec²x+1))

=(tanx(sec^4x-2sec²x+1))

proved

Answer:

The total number of feet travelled by the motorcycle is 396 feet

Step-by-step explanation:

Using the constant speed relationship with the distance:

           v = s/t

From the above equation the distance travelled will be:

          s = v * t              (i)

We are given with the v, that is:

          v = 45 miles per hour

Converting in to feet per second.

          v = (45 * 5280)/3600 feet / s

          v = 66 feet per second

Now, put that v and t in equation (i)

          s = 66 * 6

          s = 396 feet

1. The variance of the distribution of means option A) 15/20 = 0.75

2.  The decision that counselor  should make regarding the null hypothesis is that: option "Fail to reject it"

3. The effect of the  size is: option c:  (5 − 4.4)/.85 = .71

Note that:

Sample size =  20.

Note that for us to be able to get the answer in question one, we have to divide the unbiased estimate for the population variance by the use of  20 so that we can be able to get our unbiased estimate for the variance: And as such;

15/20 = 0.75.

The term fail to reject implies that  the null hypothesis is one that has not been disproven or wrong and therefore the use of the term "failure to reject." It is one that should not be taken with acceptance.

Therefore, 1. The variance of the distribution of means option A) 15/20 = 0.75

2.  The decision that counselor  should make regarding the null hypothesis is that: option "Fail to reject it"

3. The effect of the  size is: option c:  (5 − 4.4)/.85 = .71

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The values of the function if the function f(x) is reflected over y-axis is  g(x) = 10/21x

Reflection is a transformation technique that changes the position of an object on an xy-plane.

If the function f(x) is reflected over y-axis, the resulting function is y = f(-x). Given the following function;

f(x) = -2/7(5/3)x

This can also be written as;

f(x) = -10/21 x

Replace x as -x

f(-x) = -10/21(-x)

f(-x) = g(x) = 10/21x

Hence the values of the function if the function f(x) is reflected over y-axis is  g(x) = 10/21x

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We conclude  the hypothesis test as Alternative Hypothesis if the data would be very unusual if the original assumption about our parameter were correct.

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