The composite figure is made up of a rectangle and two pentagons. Find the
area
O
A. 332 sq. units
B. 290 sq. units
O
C. 200 sq units
D. 552 sq units

Answer:

12a cm2

2b cm2

(6a + b) cm2

Step-by-step explanation:

The complete question is

The figure consists of 12 congruent equilateral triangles. The area of one equilateral triangle is a cm2. The area of the hexagon, shaded slightly darker, is b cm2.

Which expressions represent the area of the entire shaded region, including the light and dark shading? Check all that apply.

12a cm2

2b cm2

(6a - b) cm2

(12a + 2b) cm2

(6a + b) cm2

The picture of the question in the attached figure

we know that

The area of the entire shaded  region is equal to the area of the the light and dark shading

so

step 1

Find the area of the light shading

The area is equal to the area of six congruent equilateral triangles

[tex]A_1=6a\ cm^2[/tex]

step 2

Find the area of the dark shading

The area is equal to the area of the regular hexagon

[tex]A_2=b\ cm^2[/tex]

step 3

1) Find the total area

[tex]A=A_1+A_2=(6a+b)\ cm^2[/tex]

2) Remember that the figure consists of 12 congruent equilateral triangles

so

[tex]A=12a\ cm^2[/tex]

3) The area of the light shading is the same that the area of the dark shading

so

6a=b

therefore

[tex]A=2b\ cm^2[/tex]

Answer: 1 2 5

Step-by-step explanation:

Answer:

x=-1.67 or x=-4

Step-by-step explanation:

3x+5=0          and 2x+8=0

3x=0-5               2x=-8,,,divide both sides by 2, the two's cancel then x=-4

3x=5 Divide by 3 to hve x on one side,,, thus the answer is -5÷3=1.666...

Answer:

-5/3 and -4

Step-by-step explanation:

I got it correct.

Answer: I am pretty sure it is 35 min

Step-by-step explanation:

Answer

Trent spent 35 minutes on his work.

Step-by-step explanation:

Answer:

The correct answer is two designs are used 12 times each and other four designs are used for 13 times each.

Step-by-step explanation:

Width of the quilt Lu is making is 18 rows of 20 squares each.

Thus the perimeter of the quilt is 20 + 20 + 18 + 18 = 76.

We can also say there are 76 square as the boundary which are to be bordered with toy designs.

Each square can hold 1 design of toy and there are 6 different designs of toys.

Thus number of times each design is used [tex]\frac{76}{6}[/tex] = 12 [tex]\frac{4}{6}[/tex].

Thus there are two designs used 12 times each and other four designs are used for 13 times each.

Answer:

I believe its 15

Step-by-step explanation:

Answer for 12+7+(-4)= 15

Answer for -1.75+(-6.25)+6= -2

I hope this helps

Answer: The portion of skiing is 36 degrees (36°)

Step-by-step explanation: In order to calculate the value of any of the given variables in degrees, we must calculate it as a fraction of the total and then convert it to a degree measure in relation to a total of 360 degrees. (Please note that a pie chart has a total of 360 degrees measurement for all the variables given)

The variables are;

Soccer - 5

Jogging - 20

Walking - 10

Skiing - 5

Football - 10

Total - 50

Therefore, the fraction that represents skiing is given as

Skiing = 5/50

Skiing = 1/10

Calculating this portion in degrees becomes,

Skiing = 1/10 x 360

Skiing = 36 degrees (36°)

Answer:

x = 36° represents the proportion of hours spent on skiing.

Step-by-step explanation:

Solution:-

- The time taken for various activities is to be represented using a pie chart.

- The individual times for various activities are given:

          Soccer : 5 hours

          Jogging : 20 hours

          Walking : 10 hours

          Skiing : 5 hours

          Football : 10 hours

=========================

      Total time : 50 hours

=========================

- An entire pie chart is represented by a circle. Where the angle representation of a complete circle is 360° - mapping the total number of hours taken for all activities.

- So,               360° ............. Total Time = 50 hours

- So we will use direct proportions to evaluate the angle representation for the number of hours spent on skiing for a pie chart:

                      x ................. Skiing time = 5 hours

            ======================================

                     50*x = 5*360

                     x = 36°

Answer:

plane parallel to the circular base, not passing through the tip of the cone: circle

plane parallel to the circular base, passing through the tip of the cone: A point

plane not parallel to the base, not passing through the base, and making an angle with the horizontal that is less than that made by the slant height of the cone: an oval that becomes more elongated as the angle with the horizontal increases

plane making an angle with the horizontal that is greater than that made by the slant height, passing through the tip of the cone : an isosceles triangle

Step-by-step explanation:

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Answer:

a. 39.55%

b. 44.02%

Step-by-step explanation:

We have the following data:

n = 5

x = 1

p = 5/20 = 0.25

to. If the sampling is done with replacement.

We apply the binomial distribution formula, which is as follows:

P = nCx * (p ^ x) * ((1-p) ^ (n-x))

Where nCx, is a combination, and is equal to:

nCx = n! / x! * (n-x)!

replacing we have:

5C1 = 5! / 1! * 4! = 5

replacing in the main formula:

P = 5 * (0.25 ^ 1) * ((1- 0.25) ^ (5-1))

P = 0.3955

that is, without replacing the probability is 39.55%

b. if the sampling is done without replacement.

Here it is a little different from the previous one, but what you should do is calculate three cases,

the first was the one at point a, when n = 5 and x = 1

5C1 = 5! / 1! * 4! = 5

the second is when n = 20 and x = 5, this is all possible scenarios.

20C5 = 20! / 5! * 15! = 15504

and the third is when n = 15 (20-5) and x = 4 (5-1), which corresponds to the cases when none were damaged

15C4 = 15! / 4! * 11! = 1365

In the end, it would be:

P = (5C1 * 15C4) / 20C5

Replacing:

P = 5 * 1365/15504

P = 0.4402

Which means that without replacing the probability is 44.02%

Answer: 150 shots.

Step-by-step explanation: Since her three-point shot probably is 30%, we can assume that for any total of three-point shots, only 30% of them will be "correctly shot."

Here are two methods of how to find the answer, depending on how your teacher is teaching you to calculate percentages.

Method A. Proportions

Therefore, let's make a proportion. Out of 500 shots, only 30% will be made.

[tex]\frac{30}{100} =\frac{x}{500}[/tex]

Solve for x, which in a proportion, is done by cross-multiplying and then dividing.

[tex](30 * 500) / 100[/tex]

[tex]= 150[/tex]

Out of all the 500 shots, only 150 can be made by her prediction.

Method B. Simple multiplication

30% is equal to 0.3

Therefore, you multiply [tex]0.3 * 500[/tex], which you get [tex]150[/tex].

Answer:

n = 12, she has played 12 games

Step-by-step explanation:

40 = 16 + 2n

24 = 2n

24/2 = n

n = 12

The division is one of the four fundamental arithmetic operations. The number of games that Hannah has played is 12.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Hannah is at an arcade where each game requires her to use 2 tokens. Also, the total number of tokens Hannah has is 40.

Therefore, the number of tokens that Hannah has used is,

Number of tokens Hanna used

= Total number of toke - Number of tokens left

= 40 - 16

= 24

Now, the number of games that Hannah has played is,

Number of games Hannah has played = Number of tokens used / Number of token per game

n = 24 / 2

n = 12 game

Hence, the number of games that Hannah has played is 12.

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Answer:

Step-by-step explanation:

[tex]3 \frac{3}{9}=\frac{3 \times 9+3}{9}=\frac{30}{9}=\frac{10}{3}\\1\frac{1}{3}=\frac{1\times 3+1}{3}=\frac{4}{3}\\Total~used=\frac{10}{3}+\frac{4}{3}=\frac{14}{3}\\Left~over=9-\frac{14}{3}=\frac{9 \times 3-14}{3}=\frac{13}{3}=4 \frac{1}{3}~gallons[/tex]

Answer: 4

Step-by-step explanation:

[tex]9-(3\frac{3}{9} + 1\frac{1}{3} )\\9-(\frac{30}{9} + \frac{4}{3})\\ 9-(\frac{10}{3}+ \frac{4}{3})\\ 9-(\frac{14}{3} )\\= \frac{(9)(3)-14}{3} \\= \frac{27-14}{3} \\=\frac{13}{3}\\ \\or\\\\4 gallons[/tex]

or

= [tex]4\frac{1}{3}[/tex]

approximately

Answer:

18

Step-by-step explanation:

Mean is the average of the data.

There is one 7.

Three 9's.

Two 10's

7+9+9+9+10+10=54

There are only 3 numbers with actual data so 6 and 8 don't matter.

54÷3=18

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

Take a look at this graph (sorry, it's small).  The graph shows three data points, (0, 1), (2, 6), and (4, 8).  The line is called the "line of best fit" or "regression line."

The equation for the line is y = 1.75x + 1.5 .

The data did not include a point for x = 3, but it can be predicted by finding the y-coordinate on the line that corresponds to x = 3.

Substituting x = 3 into the line's equation gives

y = 1.75(3) + 1.5 = 6.75

That's the predicted value of y for x = 3 given the linear relationship shown.

Answer:

71 tadpoles

Step-by-step explanation:

Windstone rescued 54 on Friday.

Let the number rescued on Saturday =x

The number rescued on Friday is 17 less than the number he rescued on Saturday.

This is written as:

To solve for x, we add 17 to both sides of the equation

Windstone Rescued 71 tadpoles on Saturday

Answer:

71 tadpoles

Step-by-step explanation:

let 't' represent the number of tadpoles he rescued on Saturday.

According to the problem,

Windstone rescued 54 on Friday.

If the number rescued on Friday is 17 less than the number he rescued on Saturday.

The equation to find  the number of tadpoles he rescued on Saturday will be:

t-17 = 54

Further solving for 't'

t= 54+17

t= 71

Therefore, Windstone Rescued 71 tadpoles on Saturday

Answer:

2.5 mg

Step-by-step explanation:

We are given that

A=Initial amount=10 mg

Half life,h=8 days

We have to find the mass of radioactive isotope remains after 16 days.

t=16 days

We know that the amount of radioactive isotope after t days is given by

[tex]P(t)=A(1\frac{1}{2}^{\frac{t}{h})[/tex]

Using the formula

[tex]P(t)=10(\frac{1}{2}^{\frac{16}{8}})[/tex]

[tex]P(t)=10\times (\frac{1}{2})^2[/tex]

[tex]P(t)=2.5 mg[/tex]

Answer:

its b on edg

Step-by-step explanation:

its B I answered the question on my test and got it correct

x²+9x+8

Rewrite

(x+1)(x+8)

Distribute

x²+8x+1x+8

Simplify

x²+9x+8

Answer:

[tex]x^{2}[/tex] + 9x + 8    i hope this helps!   :)

Step-by-step explanation:

distribute the x to the x and 8   [tex]x^{2}[/tex] + 8x

distribute the 1 to the x and 8   x + 8

put the two together   [tex]x^{2}[/tex] + x + 8x + 8

combine like terms   [tex]x^{2}[/tex] + 9x + 8

Answer:

a= 35°

b=70

c=70

Step-by-step explanation:

if u need explanation comment and I'll explain

Answer: We do not sufficient evidence that mean is greater than 0.

Step-by-step explanation:

Since we have given that

n = 36

mean = 0.9

Standard deviation = 15.8

at 0.01 level of significance,

Hypothesis would be:

[tex]H_0:\mu =0\\\\H_1=\mu\neq 0[/tex]

Standard error of mean would be :

[tex]\dfrac{\sigma}{\sqrt{n}}=\dfrac{15.8}{\sqrt{36}}=\dfrac{15.8}{6}=2.63[/tex]

statistic value would be :

[tex]t=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\t=\dfrac{0.9-0}{2.63}\\\\t=\dfrac{0.9}{2.63}\\\\t=0.342[/tex]

Degree of freedom = df = 36-1=35

So, p value = 2.4377

Since 2.4377 > 0.342, we will not reject null hypothesis.

Hence, We do not sufficient evidence that mean is greater than 0.

Answer:

Step-by-step explanation:

hello :

*   64 = 4^3   so : g(x) =  (∛4^3)^x = 4^x

*   16=4²        so :  f(x) = (√4²)^x = 4^x

the functions f(x) and g(x) are equivalent

Answer:

$73.60

Step-by-step explanation:

take 460 times .032 witch is 14.72 then times that by 5

The amount of revenue Sandy's Beauty Salon will earn in one day for x haircuts is represented by a linear graph.

The graph that represents the amount of revenue Sandy's Beauty Salon will earn in one day for x haircuts is a linear graph. This is because the revenue is directly proportional to the number of haircuts. The equation that represents this relationship is y = 15x, where y is the revenue and x is the number of haircuts.

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Answer: Andy should invest RS. 2784.19 for 12 years .

Step-by-step explanation:

Since we have given that

Amount = Rs. 5000

Time = 12 years

Rate of interest = 5%

So, We need to find the sum:

Using "Compound interest" , we get :

[tex]A=P(1+r)^t\\\\5000=P(1+0.05)^{12}\\\\5000=P(1.05)^{12}\\\\\dfrac{5000}{1.05^{12}}=P\\\\2784.19=P[/tex]

Hence, Andy should invest RS. 2784.19 for 12 years .

Final answer:

To find out how much Andy needs to invest today to fulfill his promise to Opie in 12 years with a 5% interest rate, we use the present value formula. Andy needs to invest approximately $2475.64 today to ensure he can fulfill his promise to Opie.

Explanation:

To calculate how much Andy must invest today to fulfill his promise to Opie, we can use the concept of present value.

Step-by-step explanation:

The coin roll revolution = 4 rev / sec

Angle = 180° which is 1/2 of a revolution(360°).

The circumference of a circle is 2πr.

Radius of the circle, r = 10 mm

The circumference of this coin = 20π mm.

Again 180° is half of a roll,

the circumference = [tex]\frac{20\pi }{2}[/tex] = 10π

The coin travels 31.42 mm.

Answer:

acute scalene

Step-by-step explanation:

Answer:

The distance as product of 38 and a power of 10 is [tex]38*10^{6}[/tex]

Step-by-step explanation:

In math when we're dealing with big numbers like this we express them in power of 10, since it'll be easyer to read that way. We take the parts of the number to the left that are not equal to "0", in this case 38, and multiply it by a power of 10. The expoent to this power of 10 will be the number of "0" after the 38 and before the ",". In this case the closest distance from Earth to Venus is 38,000,000 (there's a typo in the question). So we take the 38 and multiply it by [tex]10^{6}[/tex], since there are 6 zeros.

The distance as product of 38 and a power of 10 is [tex]38*10^{6}[/tex]

Explanation of how to calculate the volume of a rectangular prism with given dimensions.

The volume of a rectangular prism is calculated by multiplying its length, width, and height.

Given dimensions: length = 6/5 cm, width = 8/3 cm, height = 15/4 cm

Volume = (6/5) cm x (8/3) cm x (15/4) cm = 24 cm³

answer:

it's the second one -7^2-x+2

explanation:

in order to be a quadratic function it has to meet this criteria: ax² + bx + c

The quadratic function is -7x²-x+2. Therefore, option B is the correct answer.

The standard form of a quadratic equation is given as:

ax² + bx + c = 0 where a, b, c are real numbers and a ≠ 0.

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two. Since the highest degree term in a quadratic function is of the second degree, therefore it is also called the polynomial of degree 2. A quadratic function has a minimum of one term which is of the second degree.

Here, the quadratic function is -7x²-x+2

Therefore, option B is the correct answer.

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Answer:

If the coin is fair, then the odds of getting heads or tails should be equal, 12. Then 3 tosses of tails will have a chance of 12⋅12⋅12=18. Tossing of the coin is an independent event. The probablility of each event is 12.

Answer:

I would just guess, but if i were to actually think about it, i would think C. I hope it helps, and blame it on me if you fail.

Step-by-step explanation: