∆DEF is similar to ∆ABC and the scale factor from ∆ABC to ∆DEF is 2. In ∆ABC, the largest angle measures 82º. Which measurements below could represent the largest angle in ∆DEF? Select all that apply.

Answer:

M = 4.33885225095

Step-by-step explanation:

Area of the square ABFE = 10² = 100

M = 100 - (2P + Q)

Let’s calculate 2P + Q :

The area 2P + Q = area ΔABC + area of sector ACE + area of sector BCF

Note :

ΔABC is an equilateral triangle

m∠CBF = m∠CAE = 30°

area ΔABC  = (CG × AB)÷2 = (8.660254037844×10)÷2 = 43.30127018922

CG = √(10^2 - 5^2)=8.660254037844  (Pythagorean theorem)

area of sector BCF = area ΔACE = 100π ÷ 12 = (8.333333333333)π

then

Area 2P + Q = area  ΔABC + area sector ACE + area sector BCF

                      = 43.30127018922+(100÷12)π+(100÷12)π

                      = 43.30127018922+ (8.333333333333)π + (8.333333333333)π

                      = 95.66114774905

Conclusion:

M = 100 - (2P + Q) = 100-95.66114774905 = 4.33885225095

Answer:

C

Step-by-step explanation:

number 2 is y/x because its the reciprical of sine of angle YZ so the answer is C.

The total meters in the wall which is build by a construction company at a rate of 30 cm of the wall per minute, is 16 meters.

The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,

W=1/n

A construction company is building a wall. The company can build 30 cm of the wall per minute. In 40 minutes the total cm of wall build by company is,

n=40/30

n=1200 cm

n=12 m

After 40 minutes, three fourth of the wall is completed, which is equal to the 12 meters. Thus, the total meter of the wall is,

(3/4)x=12

x=(12x4)/3

x=16 m

Thus, the total meters in the wall which is build by a construction company at a rate of 30 cm of the wall per minute, is 16 meters.

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The predicted height is close to the actual height of the plant by 0.69 cm

The equation of the height function of the plant is given as:

y = 1.44x + 1.55

The height on day 7 is calculated as:

y = 1.44 * 7 + 1.55

Evaluate

y = 11.63

The recorded height is given as 12.32

The residual is calculated as:

Residual = Recorded - Predicted

So, we have:

Residual = 12.32 - 11.63

Evaluate

Residual = 0.69

Hence, the predicted height is close to the actual height of the plant by 0.69 cm

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With the given scale factor, The cost to refinish the larger wood floor is $204

The scale factor is given as:

Scale factor = 4 : 3

This means that:

x : 153 = 4 : 3

Where x represents the cost to refinish the larger wood floor

Express as fraction

x/153 = 4/3

Multiply both sides by 153

x = 204

Hence, the cost to refinish the larger wood floor is $204

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Answer:

40,320 ways

Step-by-step explanation:

By the Fundamental Counting Principle, she can do it in 8! ways:

8! = 8*7*6*5*4*3*2*1 = 40,320

Answer: False

Step-by-step explanation: right triangles need two equal angles and one different.

Answer:

it will help you

Step-by-step explanation:

thank you

Answer:

DIY

Step-by-step explanation:

Although I would like to help you, you would have to do this yourself.

All you need to do is:

1. Use a ruler and measure the distance from the first location to the second location.  *make sure to use the inch side.

2. Distance times 170. *Your product will be in mi( unit).

Answer: 5.25

Step-by-step explanation:

Solve using PEMDAS,

(7 + 1)2 – (11 + 32) ÷ 4

(8)2 - (43) ÷ 4

16 - 10.75 = 5.25

The statement given by Mai to principal is wrong because of it using the word "exactly" in her statement.

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).

So, in this case, Mai did sampling(sample of 30 students was selected) instead of working on entire population (all students of her school).

In her sample, she found that 27 out of 30 students think its a good idea to start and end the school day an hour later than usual.

So, from sample, 90% of those 30 students think  it’s a good idea to start and end the school day an hour later than usual.

And yes, we can use this data to approximate or predict about the percentage of students who think  it’s a good idea to start and end the school day an hour later than usual.

But we cannot surely say that it will be exactly 90%.

The only statement we can give about the population is:

Almost (or such unsure wordings) 90% of all of the students in the school think it’s a good idea to start and end the school day an hour later than usual!

Thus, the statement given by Mai to principal is wrong because of it using the word "exactly" in her statement.

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Answer:

A=0

B=2

so we have our question, h (x) x^3, x<0.

a is equal to 0 since that answer was already given.

so now it would be srqt/x over 0 of 4

4 divided by 0 is 0

1/2x x>4

turns into 1/2x x>4/1

cross simplify

the answer to B is 2

Answer:

a=0

b=2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]\text{Given that,}~ (x_1,y_1) =(-3,2)~ \text{and}~ (x_2 ,y _2) = (3,7)\\\\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~=\dfrac{7-2}{3-(-3)}\\\\\\~~~~~~~~~~~~=\dfrac{5}{3+3}\\\\\\~~~~~~~~~~~~=\dfrac 56[/tex]

The expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).

Given:

Base side length=14 and 10 units

Height=8 units

Diameter=5 units

Hence:

Expression= 1-( half 14)(10)(8) - π(2.52)(8)

Expression=1-(7) (10)(8) - π(2.52)(8)

Expression=1- (560)- 63.33

Expression=-559-63.33

Expression=-622.33

Therefore the expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).

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Answer:

A

Step-by-step explanation:

edge

Using the percentage concept, it is found that 33.33% of the students scored 650 or higher in the mathematical portion of the SAT.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

Researching the problem on the internet, it is found that of the 15 students, 5 scored 650 or higher in the mathematical portion of the SAT, hence the percentage is given by:

[tex]P = \frac{5}{15} \times 100\% = 33.33\%[/tex]

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Answer:

I don't see a circle graph. Add one and ill edit this answer

Step-by-step explanation:

Add

the

image.

If manny paid $114.03 for the items purchased , then he paid the correct amount .

The first step is to determine the total cost of all the items purchased.

Total cost = $32.65 + (3 x $14.89) + $39.99 = $117.02.

Now, determine the cost after the promotional sale: (100 - 10%) x $117.02 = $105.32

The last step is to determine the total cost after tax: (1.08) x 105.32 = $114.03

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Answer:c

Step-by-step explanation:

trust

A solution exists for constructing a triangle given two sides and the included angle if the triangle inequality theorem is satisfied

We have to draw a line segment to represent one of the given sides of the triangle.

From one endpoint of the line segment, use a protractor to measure the given angle. Mark this angle on the line segment.

Using a compass, set the compass to the length of the other given side of the triangle.

With the compass centered at the endpoint of the line segment, draw an arc that intersects the angle on the line segment.

Draw a line connecting the endpoint of the line segment to the point where the arc intersects the angle.

This line represents the second side of the triangle.

Finally, draw a line connecting the two endpoints of the sides you have constructed. This line completes the triangle.

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Step-by-step explanation:

this isn't a graph of a function, this is just a series of plotted points.

Answer:

[tex] \sqrt{ {22}^{2} - {17}^{2} } = \sqrt{484 - 289} = \sqrt{195} [/tex]

The side lengths do not form a Pythagorean triple.

Answer:

C

Step-by-step explanation:

irst check if the triangle is right.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side =  and ( )² = 12

2² + ( )² = 4 + 8 = 12

Thus the triangle is right → C

The amount of calvin’s starting balance for the next month will be C. $625.91.

From the information given, the monthly percentage rate will be:

= 14.75/12

= 1.22%

Therefore, the amount of calvin’s starting balance for the next month will be $625.91.

In conclusion, the correct option is C.

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Answer:

Step-by-step explanation:

c

Answer:

1.99 x 10 ^20 N

Step-by-step explanation:

Just substitute in the values given

F = (6.67x 10^-11) * (5.97x10^24)(7.36 x 10^22)  / ( 3.84 x 10^8) ^2

  = 1.99 x 10^20  N

Answer:

me too a I don't understand

Answer:

there you go

have a good day

The equation cos (α - β) × cos (α + β) ≠ cos² α - cos² β. Then the given equation is incorrect.

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

The equation is given below.

cos (α - β) × cos (α + β) = cos² α - cos² β

Then show whether the equation is correct or incorrect.

Taking the left-hand side, then we have

[tex]\cos(\alpha-\beta)*\cos(\alpha +\beta) = (\cos \alpha \cos\beta + \sin \alpha \sin \beta ) (\cos \alpha \cos\beta - \sin\alpha \sin\beta )\\\\\cos(\alpha-\beta)*\cos(\alpha +\beta) = \cos ^2 \alpha \cos ^2\beta - \sin ^2 \alpha \sin ^2\beta[/tex]

The left-hand side does not equal to the right-hand side.

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There are 4 terms

Yw :D

Answer:

(-4, 2)

Step-by-step explanation: