Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square. Need help quick Plz!!!

Answer:

86

Step-by-step explanation:

We can set the first digit as (10x+y)

We can interchange it to be (10y+x)

X is the second digit and Y is the first.

1) (10x+y) +(10y+x) =154

2) 11x+11y=154

3) 11(x+y) =154

4) x+y=14

5) x+x+2=14

6) 2x=12

7) x=6

8) y=6+2=8 , so y =8

Answer:

Step-by-step explanation:

[tex]Opposite =f\\Hypotenuse = 9\\Adjacent = 5\\\alpha = 50\\Using \: Pythagoras \:Theorem \\Hypotenuse^2 = Opposite^2 +Adjacent^2\\9^2 = f^2+5^2\\81=f^2+25\\81-25=f^2\\56=f^2\\\sqrt{56} = \sqrt{f^2} \\f = 2\sqrt{14} \\f = 7.483\\\\f = 7.5[/tex]

Step-by-step explanation:

To find the area of the circle we must first find the radius using the formula

radius = diameter / 2

From the question

diameter = 21 ft

The radius is

21/2 = 10.5 ft

Area of a circle = πr²

where r is the radius

Area = π(10.5)²

= 110.25π

Circumference of a circle = πd

where d is the diameter

Circumference = π(21)

Hope this helps you

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given,

Diameter of the ⭕ (d) = 21 ft

So, radius of the ⭕ (r) = ?

[tex]r = \frac{d}{2} \\ r = \frac{21}{2} \\ r = 10.5 \: \: ft[/tex]

[tex]\boxed{Radius \ = \ 10.5 \ ft}[/tex]

____________________

a) Find the area of the ⭕.

[tex]\boxed{Area \ (a) \ = \ πr^{2}}[/tex]

[tex]a = \pi \: r ^{2} \\ a = \pi(10.5) {}^{2} \\ a = 110.25 \: \pi \\ a = 110.25 × 3.14 \\ a = 346.18 \ ft^{2}[/tex]

[tex]\boxed{Area \ = \ 346.18 \ ft^{2}}[/tex]

____________________

b) Find the circumference of the ⭕.

[tex]\boxed{Circumference \ (c) \ = \ \pi \:d}[/tex]

[tex]c = \pi \: d \\ c = \pi(21) \\ c = 21\pi \\ c = 21 × 3.14 \\ c = 65.94 \ ft[/tex]

[tex]\boxed{Circumference \ = \ 65.94 \ ft}[/tex]

____________________

Value of [tex]\pi [/tex]is taken as 3.14

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

╭═══════ღ❦ღ══╮

[tex] ღRainbowSalt2^{2}2^{2} [/tex]

╰══ღ❦ღ═══════╯

Answer:

the probability that the first groupmate you meet has studied some statistics is 0.45

Step-by-step explanation:

From the information given :

A professor divided the students in her business class into three groups

Let consider then to be :

Group            Statistics Class

A                    Never taken a statistics class

B                    Taken one statistics class

C                     Taken two or more statistics class.

If 55% of the students have never taken a statistics class,

Then ;

P(A) = 0.55

25% have taken only one semester of a statistics class

Then P(B) = 0.25

and the rest have taken two or more semesters of statistics

Then P(C) = 1 - 0.55 -0.25

P(C) = 1 - 0.80

P(C) = 0.20

The objective is to determine the probability that the first groupmate you meet has studied some statistics

The probability of the first groupmate you meet has studied some statistics = 1 - P(never taken a statistics course)

Let the  probability of the first groupmate you meet that  has studied some statistics be P(D)

Then P(D) = 1 -  P(A)

P(D) = 1 - 0.55

P(D) = 0.45

the probability that the first groupmate you meet has studied some statistics is 0.45

Answer:

x = 45

Step-by-step explanation:

Since ray IK║EH and IG is a transverse,

∠GIK ≅ ∠IGF [Corresponding angles]

Therefore, m∠IGF = x

Since, m∠JIF + m∠GIF = 180° [Supplementary angles]

2x + m∠GIF = 180°

m∠GIF = (180 - 2x)

Similarly, m∠IFE + m∠IFG = 180°

3x + m∠IFG = 180°

m∠IFG = (180 - 3x)

By the property of a triangle,

"Sum of all interior angles of a triangle is 180°"

m∠IGF + m∠GFI + m∠FIG = 180°

x° + (180 - 2x)° + (180 - 3x)° = 180°

(x - 2x - 3x) + 360 = 180

-4x + 360 = 180

4x = 360 - 180

4x = 180

x = 45

x = 65° and y = 77.5°.

The triangle with the 50 degree angle and x, is an isosceles triangle. That means that the other unlabeled angle is also equal to x degrees.

x + x + 50 = 180

2x + 50 = 180

2x = 130

x = 65°.

Since x = 65 degrees, and the two angles make a 90 degree angle, the other unlabeled angle will be 90 - 65 = 25 degrees.

Since the other triangle is also isosceles, that triangle has two angles that measure y degrees and one angle measuring 25 degrees.

y + y + 25 = 180

2y + 25 = 180

2y = 155

y = 77.5°.

Answer:

Anna's wand can cast 70 spells

Step-by-step explanation:

Elsa's wand can cast 53 spells

her wand casts 17 fewer cells than her sister Anna's

Amount of spells cast by Anna's wand = ?

We write the question down in the form of an equation

[tex]x - 17 = 53[/tex]

where [tex]x[/tex] is the amount of spells Anna's wand can cast.

we then proceed to solve by collecting like terms to different sides of the equation. We'll have

[tex]x = 53 + 17[/tex]

which leaves us with

[tex]x = 70[/tex]

This means that Anna's wand can cast 70 spells.

Answer:

The fact that shows that p+q+r=1 is at most 2/3 is well explained from what we have below.

Step-by-step explanation:

Given that:

The maximum of function P = 2pq+2pr+2rq is at most 2/3.

where ;

p+q+r=1

From  p+q+r=1

Let make r the subject ; then r = 1 - p - q

If we replace the value for r into the given function; we have:

P = 2pq+2pr+2rq

P = 2pq+2p(1 - p - q)+2(1 - p - q)q

P = 2pq + 2p - 2p² - 2pq + 2q -2pq -2q²

P = 2p - 2p² + 2q -2pq -2q²

By applying the standard method for determining critical points we obtain:

[tex]P_p[/tex] = -4p - 2q + 2 = 0

[tex]P_q[/tex] = -4q - 2p + 2 = 0

Divide all through by 2

[tex]P_p[/tex] = -2p - q + 1 = 0

[tex]P_q[/tex] = -2q - p + 1 = 0

[tex]P_p[/tex] = -2p - q  = - 1

[tex]P_q[/tex] = -2q - p  = - 1

Multiplying both sides by - ; we have:

[tex]P_p[/tex] = 2p + q  =  1   ----- (1)

[tex]P_q[/tex] = 2q + p  =  1    ------(2)

From equation (1) ; let make q the subject ; then

2p + q = 1

q = 1 - 2p

Now; let us replace the value of q = 1-2p into equation (2) , we have:

2q + p  =  1  

2(1-2p)+ p = 1

2 - 4p+p = 1

2 - 3p = 1

3p = 2-1

p = 1/3

Replacing the value of p = 1/3 into equation (1) ; we have :

2p + q  =  1  

2(1/3) + q = 1

2/3 + q = 1

q = 1 -2/3

q = 1/3

Taking the second derivative D; we have

[tex]D = P_{pp}P_{qq}-p^2_{pq}[/tex]

D = -4 × -4 - (2²)

D = 16 - 4

D = 12

This implies that the given function has a minimum or maximum at its critical point for which  12 > 0

Therefore , the value for function p = q = r  since  p, q, and r are the proportions of A, B, and O in the  population.

Hence r = 1/3

P=2pq+2pr+2rq

P = 2(1/3)(1/3) + 2(1/3)(1/3) + 2(1/3)(1/3)

P = 6/9

P = 2/3

Answer:

(f-g)(x)= -x-4

(f.g)(x)= 2x^2 -2x-4

(f+g)(-1) = 3(-1) = -3

Step-by-step explanation:

Hi, to answer this question we have to solve the expressions:

(f-g)(x) =  x-2 -(2x+2)

(f-g)(x)= x-2 -2x-2

(f-g)(x) = -2x+x-2-2

(f-g)(x)= -x-4

(f.g)(x) =  x-2 (2x+2)

(f.g)(x)= 2x^2 +2x-4x-4

(f.g)(x)= 2x^2 -2x-4

(f+g)(x)= x-2 +2x+2

(f+g)(x) = x+2x-2+2

(f+g)(x)= 3x

(f+g)(-1) = 3(-1) = -3

Feel free to ask for more if needed or if you did not understand something.

Answer:

4 by 9 should be the answer

Step-by-step explanation:

N/A

Answer:

I think it is 2/9. I'm not sure.

Step-by-step explanation:

10/18 are brown eggs.

8/18 are white eggs.

4/18 are cracked.

Simplified answer is 2/9 chance.

Answer:

The answer is C.

Step-by-step explanation:

The formula to find equation is y - y1 = m(x - x1).

Let (x1,y1) be (6,2) and m is -5/7.

So the equation is,

y - 2 = -5/7(x - 6)

Answer: $8

Step-by-step explanation: $120+10%=$132. $140-$132=$8.

Answer:

3 3/4

Step-by-step explanation:

(4x+3)(x-8)+(x-1)(4x+3)=0

Factor out 4x+3

(4x+3)( x-8+x-1) =0

Combine terms

(4x+3) ( 2x-9) =0

Using the zero product property

4x+3 = 0    2x-9 =0

4x=-3         2x = 9

x = -3/4       x = 9/2

Sum the solutions

-3/4 + 9/2

-3/4 + 18/4

15/4

3 3/4

Answer: it seems to be D, but the equation makes practically no sense!

The value of the factor changes for the different amounts of service years and vacation weeks.

Step-by-step explanation: The equation means that the employee is trying to figure out the value of the "v-factor" for how vacation time is earned.

If you substitute the number of service years into the left side of the "formula" and vacation weeks on the right side, then solve for "v", v(15)=5 you get v= 1/3 or 0.33

If you substitute other numbers, like v(2)=2, so v= 1 then v(30) = 8, v = 4/15 or 0.2667. You see the factor's value decreases. The company is much more generous to to employees with one or two years of service than with the older ones.

Answer:

work is shown and pictured

Answer:

The answer is C

Step-by-step explanation:

Answer:

16.4

Step-by-step explanation:

The interquartile range is the difference between the upper and lower quartiles.

Given the five figure summary, then

upper quartile = 28.8

lower quartile = 12.4

interquartile range = 28.8 - 12.4 = 16.4

The Interquartile range is 16.4.

When values are ranked from lowest to highest, the Interquartile range designates the middle 50% of those values.

Find the median (middle value) of the bottom half and upper half of the data before calculating the interquartile range (IQR). Quartile 1 (Q1) and Quartile 3 are these values (Q3).

The interquartile range represents the variation between Q3 and Q1.

The interquartile range is calculated as follows:

The upper quartile is 28.8

The lower quartile is 12.4

The interquartile range is,

= 28.8 - 12.4

= 16.4

The value of the interquartile range is 16.4.

To know more about the Interquartile range

https://brainly.com/question/4135956

#SPJ1

Answer:

x= 20      x =-5

Step-by-step explanation:

x^2 – 15x – 100 = 0.

What two numbers multiply to -100 and add to -15

-20 * 5 = -100

-20 +5 = -15

(x-20) (x+5) =0

Using the zero product property

x-20 =0     x+5 = 0

x= 20      x =-5

x = 20 and x = -5

Step-by-step explanation:

x² – 15x – 100 = 0

First, find factors that multiply to get -100 and add to -15.

These factors are -20 and 5.

So we have (x - 20)(x + 5) = 0.

Now use the zero product property to get x - 20 = 0 or x + 5 = 0.

Solving from here, we get x = 20 or x = -5.

Answer:

The correct answer is 25.2 in.

Step-by-step explanation:

It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.

2 inches of the ribbon are frayed so actual length = 58 inches

Please refer to the attached image for the ribbon.

A is at 0

C is at 60

B is at 2

P is the point to divide the remaining ribbon in the ratio 2:3.

Part AB of the ribbon is frayed.

BP: PC = 2:3

Let BP = 2[tex]x[/tex] and PC = 3[tex]x[/tex]

Now, BP + PC = BC = 58 = 2[tex]x[/tex] + 3[tex]x[/tex] = 5[tex]x[/tex]

So,

[tex]5x =58\\\Rightarrow x =11.6[/tex]

BP = [tex]2\times x = 2 \times 11.6 = 23.2\ inches[/tex]

Location of the Cut = 2 + 23.2 = 25.2 inches

Alternatively, we can use the formula directly:

[tex]x = \dfrac{m} {m + n } (x_2 - x_1) + x_1[/tex]

[tex]x_1 = 2\\x_2 = 60[/tex]

m: n is the ratio 2:3

[tex]x = \dfrac{2} {2 +3 } (60- 2) + 2\\\Rightarrow 0.4 (58 )+2\\\Rightarrow 23.2+2 \\\Rightarrow \bold{25.2\ inches}[/tex]

Answer:

Yes i confirm the answer above is correct. A.) 25.2

Step-by-step explanation:

I took the test duhh

Answer:

For this case we have a total of 10 nonfiction books and 8 fiction books, we are going to assume that the selection is without replacement so then for the first case the probability of select a fiction book is:

[tex] \frac{8}{18}[/tex]

For the second selection we have 17 books remaining and the probability of select a nonfiction book is:

[tex] \frac{10}{17}[/tex]

For the last selection we have 16 books remaining and the probability of select a fiction book would be:

[tex]\frac{7}{16}[/tex]

Sinally since the events are independent the total probability would be:

[tex] \frac{8}{18} *\frac{10}{17}*\frac{7}{16}= 0.114[/tex]

Step-by-step explanation:

For this case we have a total of 10 nonfiction books and 8 fiction books, we are going to assume that the selection is without replacement so then for the first case the probability of select a fiction book is:

[tex] \frac{8}{18}[/tex]

For the second selection we have 17 books remaining and the probability of select a nonfiction book is:

[tex] \frac{10}{17}[/tex]

For the last selection we have 16 books remaining and the probability of select a fiction book would be:

[tex]\frac{7}{16}[/tex]

Sinally since the events are independent the total probability would be:

[tex] \frac{8}{18} *\frac{10}{17}*\frac{7}{16}= 0.114[/tex]

Answer:it’s A

Step-by-step explanation:

did the test

D. The line is perpendicular to the plane determined by the two lines.

Remember how you get to 3D space?

You take one axis called x and perpendicularly intersect it with y axis and you get a 2D plane. Now take a 2D plane and perpendicularly intersect it with an axis z and you get 3D euclidean space.

Hope this helps.

Answer:

Arc BD is 6.1 degrees

Step-by-step explanation:

So if 5.7 is in miles, the observer is 30096 feet above sea level, cruising height.

Solution.

Segment BC and DC are tangent to the circle,

so angles CBA and CDA are 90 degrees, hence

Triangles CBA and CDA are right triangles,

with

AC = 4005.7 miles

cos CAB = AB/AC = 4000/4005.7 = 0.9985770

angle BCA = arc cos(0.9985770) = 3.057 degrees

Arc BD = central angle BAD = 2*angle BCA = 6.114 degrees

Answer:

Step-by-step explanation:

i really just need points on my thingy so eh bye

Answer:

[tex]y > \frac{2x}{3} + 1[/tex]

Step-by-step explanation:

Given:

The graph in the attachment where the coordinates are (3,3) and (-3,-1)

Required:

Which inequality represent the graph

The first step is to determine the slope of the graph

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where m represents the slope, [tex](x_1, y_1) = (3,3)[/tex] and [tex](x_2, y_2) = (-3,-1)[/tex]

[tex]m = \frac{-1 - 3}{-3 - 3}[/tex]

[tex]m = \frac{-4}{-6}[/tex]

Simplify to lowest term

[tex]m = \frac{2}{3}[/tex]

Next is to determine the equation of the line using the slope formula

[tex]m = \frac{y - y_1}{x - x_1}[/tex], [tex](x_1, y_1) = (3,3)[/tex]  and [tex]m = \frac{2}{3}[/tex]

[tex]\frac{2}{3} = \frac{y - 3}{x - 3}[/tex]

Cross multiply

[tex]2 * (x - 3) = 3 * (y - 3)[/tex]

Open both brackets

[tex]2 x - 6 = 3y -9[/tex]

Collect like terms

[tex]2 x - 6 +9= 3y[/tex]

[tex]2 x+3= 3y[/tex]

Divide through by 3

[tex]\frac{2x}{3} + \frac{3}{3} = \frac{3y}{3}[/tex]

[tex]\frac{2x}{3} + 1 = y[/tex]

Reorder

[tex]y = \frac{2x}{3} + 1[/tex]

Next is to determine the inequality sign

The inequality becomes

[tex]y > \frac{2x}{3} + 1[/tex]

Answer:

x=6 and x=5.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find x we use tan

tan∅ = opposite / adjacent

From the question

The adjacent is x

The opposite is 30

So we have

tan 25° = 30/x

x tan 25 = 30

Divide both sides by tan 25

x = 30/tan 25

x = 64.34

x = 64 to the nearest tenth

Hope this helps you

Answer:

Area of the triangle = 0

Step-by-step explanation:

We are given the vertices of a triangle as: (- 8,4 ), (- 6,6), (- 3,9)​

The formula to find the Area of the triangle =

1/2[ x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]

Where :

(x₁, y₁) =  (- 8,4 )

(x₂, y₂) = (- 6,6)

(x₃, y₃) =  (- 3,9)

Area of the triangle = 1/2[-8(6 - 9) + -6(9 - 4) + -3(4 - 6)]

= 1/2[ (-8 × -3) +( -6 × 5) +( -3× -2)]

= 1/2[ 24 - 30 + 6)

= 1/2[ 24 + 6 - 30]

= 1/2 [30 - 30]

=1/2[ 0 ]

= 0

Therefore, the area of triangle whose vertices are (- 8,4 ), (- 6,6) and (- 3,9)​ is ZERO( = 0 )

Answer:

A. Pr(8)   = 1/10

B.  Pr(odd)  = 1/2

C.  Pr(even)  = 1/2

D. Pr(less than 6)  = 1/2

E.  Pr(prime) = 2/5

F. Pr(3 or 8)  = 1 / 5

G. Pr(8, 9 or 10) = 3/10

H. Pr(greater than 9)  = P(10) = 1/10

Step-by-step explanation:

We assume a FAIR 10-faced die, meaning there is an equal probability of throwing any one of the ten numbers.

With 10 possible outcomes each with equal probability, the probability of throwing any number is 1/10.

(It is preferable to work with fractions in probability because fractions are exact numbers, while decimals can often be rounded, or truncated).

A. Pr(8)   means probability of throwing an 8,  therefore Pr(8) = 1/10

B. Pr(odd)  there are 5 odd number from 1 to 10, so Pr(odd) = 5/10 = 1/2

C. Pr(even)  there are 5 even number from 1 to 10, so Pr(even) = 5/10 = 1/2

D. Pr(less than 6)  there are 5 numbers less than 6 (between1 to 10),

       so Pr(less than 6) = 5/10 = 1/2

E. Pr(prime) (remember that 1 is not prime)

   A prime number is an integer not divisible by any number except one and itself.

   Between 1 to 10, the four prime numbers are 2,3,5,7

   therefore Pr(prime) = 4/10 = 2/5

F. Pr(3 or 8)  

(3 or 8) make 2 successful outcomes out of 10, so Pr(3 or 8) = 2/10 = 1 / 5

G. Pr(8, 9 or 10)

similarly, (8,9 or 10) make three successful possible outcomes out of 10, so

P(8,9 or 10) = 3/10

H. Pr(greater than 9)

there is only one successful outcome, namely "10" out of 10 possible outcomes.  So

P(greater than 9) = P(10) = 1/10

1. please explain what’s a “die” all I know was “dice” but dice is 6 sided yea?

A die is singular for dice, which can take up any number of faces.  With a 10-faced solid, we can make a 10-faced die numbered 1 to 10.

2. and please explain the answer... I’m international student so I still need some explanation for the questions and answers thank you

See solutions above.

Answer:

Remember that standard probabilities are defined as the ratio between the number of favorable cases, and the total number of possible events.

In this case, we have a 10-sided die, which means its faces are numbered from 1 to 10, which gives us 10 total number of possible events. In other words, the denominator of the ratio is going to be 10.

Now we're able to find each probability.

[tex]P_{8} =\frac{1}{10}=0.10[/tex]

The numerator is 1 because there's only one number 8 in the die, that means the number of favorable cases is 1, and, as we said before, the total number of possible events is 10.

[tex]P_{odd} =\frac{5}{10}=0.5[/tex]

The numerator is 5 because there are 5 odd numbers from 1 to 10. In other words, there are 5 favorable cases to this probability.

[tex]P_{even}=\frac{5}{10}=0.5[/tex]

There are 5 even numbers from 1 to 10, that's why we had the same probability.

We know that there are only 5 numbers less than 6 for this die.

[tex]P_{<6}=\frac{5}{10}=0.5[/tex]

A prime number is such that it can be divided only by itself and the unit. So, there are four prime numbers from 1 to 10, which are 2, 3, 5, 7.

[tex]P_{prime}=\frac{4}{10}=0.4[/tex]

When we are going to find the probability of an event "or" another, we must sum those favorable cases.

[tex]P_{3 \ or \ 8} =\frac{1+1}{10}=\frac{2}{10}=0.2[/tex]

In this case, we need to some all three favorable cases. The die has only one 8, one 9 and one 10. So, the probability is

[tex]P_{8,9,10}=\frac{1+1+1}{10}=\frac{3}{10} =0.3[/tex]

We know that there's only one number greater than 10 on such die.

[tex]P_{>10}=\frac{1}{10}=0.1[/tex]

Lastly, "die" refers to this special 10-sided dice. In other problems, you can find "a die" with more faces even. But, in general, "die" refers to a dice.

Answer: $466

Step-by-step explanation:

Answer:

b.$466

Step-by-step explanation:

Answer:

y+0

As y=0 represent x-axis whose slope is 0 and intersects y-axis at the origin.