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FIND THE EXACT VALUE OF EACH TRIGONOMETRIC FUNCTION USING THE UNIT CIRCLE ​

Answer:

4

Step-by-step explanation:

From the above question:

1/4 cup of sand = 1 sand art

1 cup of sand = x

Cross Multiply

x × 1/4 cup of sand = 1 cup of sand × 1 sand art

x = 1 cup of sand × 1 sand art/1/4 cup of sand

x = 1 ÷ 1/4

x = 1 × 4

x = 4 pieces sand art

Therefore, Duncan can make 4 pieces of sand art.

The question is incomplete. The compete question is :

Saul decides to use the IQR to measure the spread of data. Saul calculates the IQR of the data set to be 27. Saul asks Jasmine to check his work. Saul copies the data in numerical order from least to greatest for Jasmine. 25, 30, 50, 50, 50, 50, 56, n, 250. What is the value of n that will make the IQR of the data set equal to 27?

Solution :

The inter quartile range is being measured as : 3rd quartile - 1st quartile

The 1st quartile = 25% mark

The 3rd quartile = 75% mark

The data set as given in the question is :

25, 30, 50, 50, 50, 50, 56, n, 250

Therefore, the total number of the sample = 9

And the median is = 50

The median separates the given data sets into two equal halves-- that is the upper half and the lower half.

Let the middle of a lower half is the 1st quartile be [tex]$Q_1$[/tex]

And the middle of a 2nd half is the 3rd quartile be [tex]$Q_3$[/tex]

∴ [tex]$Q_1=\frac{30+50}{2}$[/tex]

        [tex]$=40$[/tex]

  [tex]$Q_3=\frac{56+n}{2}$[/tex]

Now for the IQR of the data set to be equal to [tex]$27$[/tex],

[tex]$\frac{56+n}{2}-40=27$[/tex]

[tex]$\frac{56+n}{2}=27+40$[/tex]

[tex]$\frac{56+n}{2}=67$[/tex]

[tex]$56 +n=134$[/tex]

[tex]$n=134-56$[/tex]

[tex]$n=78$[/tex]

Answer:

-53

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

In a busy amusement park the number of people entering always increases as time goes on. I’m sure you know this if you ever been to one and had to wait in those long lines at the entrance or at any of the rides.

Answer:

D

Step-by-step explanation:

ifunny is dankreloaded

Answer:

4a + 2c = 1700

Step-by-step explanation:

Answer:

only the 1st is true

Step-by-step explanation:

the rest are wronf

Answer:

Step-by-step explanation:

455

Answer:

Option A

Step-by-step explanation:

To find all missing sides of a right triangle we use the sine, cosine or tangent ratio as below,

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

Now we take an angle measuring 60°

sin(60°) = [tex]\frac{6}{y}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{6}{y}[/tex]

y = 4√3

tan(60°) = [tex]\frac{6}{x}[/tex]

√3 = [tex]\frac{6}{x}[/tex]

x = 2√3

Therefore, Option A will be the correct option.

Answer:

Topic : CIRCLE

1. Capture/ cut outs pictures that represents a Circle then paste it in a long band paper.

2. Make a reflection in CERA form

C-Content (min. 5sentence)

E- experience(min. 5 sen.)

R-reflection (min.5 sent.)

A- Application (min.5

Answer:

I believe the answer is 10

Step-by-step explanation:

Answer:

I think that it might be ten

Step-by-step explanation:

Answer:

what should i answer?

Step-by-step explanation:

Answer:

581

Step-by-step explanation:

Answer:

12.5 minutes

Step-by-step explanation:

Multiply 1/8 by 100. Convert 25/2 to a decimal by dividing 25 by 2. The answer is 12.5 minutes.

Correct question:

The experimental probability that Cindy will catch a fly ball is equal to 3/7. About what percent of the time will Cindy catch a fly ball?

Answer:

42.9%

Step-by-step explanation:

Given that:

Experimental probability of catching a fly is 3/7

This can be interpreted as : Out of 7 tries, Cindy caught a fly only 3 times

Expressing this as a percentage :

3/7 * 100%

0.4285714 * 100%

42.857%

= 42.9%

Hence, Cindy will catch a fly at about 42.9% of the time

Answer:

9!

Step-by-step explanation:

Answer:

Length = 3.84 feets (nearest hundredth)

Step-by-step explanation:

The length of section of wire can be obtyaiejd using the length of of a arc formular :

Length of arc = θ/360° * 2πr

Radius, r = 2.5 feets

Length of arc = (88/360) *2πr

Length of arc = (88/360) * 2π*2.5

Length of arc = 0.244444 * 15.707963

Length of arc = 3.8397

Length = 3.84 feets (nearest hundredth)

Answer:

Step-by-step explanation:

3.84

Answer:

Similar by: SAS

ΔPKM ~ ΔLQM

Yes, the triangles PMK and LMQ are similar by SAS similarity statement.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The triangles PKM and triangle LMQ are the similar triangles.

If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, then the two triangles are congruent

Both the triangles have a common angle M and two sides are proportional

∠LMQ = ∠PMK

The sides are proportional

LM/PM = QM/KM

The triangles are similar

ΔPKM ~ ΔLQM

Hence, Yes the triangles PMK and LMQ are similar by SAS similarity statement.

To learn more on Triangles click:

https://brainly.com/question/2773823

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Answer:

first add the numbers that have the same variable s x7+8x=15x

then the numbers first add and then you subtract

1+7=8

3-8= -5

15x-5

Answer:

8x+x7+9

Step-by-step explanation:

subtracted one term from another

subtracted 1 from 3 to get 2

x7=+8x+2+7

add two terms together

add 2 and 7 toget 9

x7+8x+9

Answer:

The triangles are congruent because they are both exactly the same.

Answer:

If 100km enables consumption of 6lts

what about 42lts

42/6 multiply by 100km

42/6*100= 700km

The car will consume 42lts in 700 km.

Thank you.

Step-by-step explanation:

Answer:

scale factor = 20%

Step-by-step explanation:

A scale factor is a multiplier which can be used to determine the rate between two or more dimensions.

In the given figure, the sides of the original triangle is 5 times greater than that of the copy. Thus,

the scale factor = [tex]\frac{copy length}{original length}[/tex] x 100%

                          = [tex]\frac{1}{5}[/tex] x 100%

                          = 20%

The scale factor of the original triangle to its copy is 20%. This implies that the dimensions of the original triangle are multiplied by 20% to determine that of the corresponding copy triangle. Thus, we scale down the dimensions of the original triangle by 20%.

Answer:

the formula represent the correct way is  π(4)^2 (5)

Step-by-step explanation:

The formula that represent the correct way to calculate is given below:

As we know that

Volume = πr^2 h

where

r denotes the radius i.e. 4 inches

And, h denotes the height i.e. 5 inches

Now placed these values to the above formula

So,

= π(4)^2 × 5

= 80π in^3

Hence, the formula represent the correct way is  π(4)^2 (5)

Answer: the answer is D.

Step-by-step explanation:

Answer:

how to use a c a l c u l a t o r

Step-by-step explanation:

1. g o o g l e

2. add parenthesis if needed

Answer:

The true statements are -: A f(3)>0 , C g(-1)=0.8 and D g(-1)< f(-1)

Step-by-step explanation:

  Given f(x)= 5- 0.2x and g(x)= 0.2(x+5)

(A)  f(3) > 0

    Putting this value in the given equation -

     f(3) =5 -0.2(3)

      f(3)=5 - 0.6

  f(3) =4.4

Therefore , f(3) > 0  . This is a true statement .

(B)  f(3) > 5

     We got the value of f(3) from the above equation,

     Therefore , f(3) = 4.4 , hence f(3) > 5 option is False.

(C)  g(-1) = 0.8

  Taking the second given equation ,

  g(-1) = 0.2 ( -1+ 5)

  g(-1) = 0.2 (-4)

Therefore,  g(-1) = -0.8 . Hence , this statement is true.

(D) g(-1) < f(-1)

  g(-1) = -0.8

f(-1) =5 - 0.2(-1)

f(-1) = 5 +0.2

f(-1) = 5.2

Therefore , g(-1) < f(-1) , Hence this option is true.

(E) f(0) =g(0)

  f(0) = 5 + 0.2(0)

  f(0) = 5

g(0) = 0.2(0+5)

g(0) =  0.2 +5

g(0) = 1

Therefore , f(0)[tex]\neq[/tex] g(0) , Hence , the option is false .

Hence , true statements about the functions are - A , C , D .  

Answer:

r17 is that a mistake or actually the number?

Answer:

3328 cubic centimeters

Step-by-step explanation:

volume of pyramid equation:

V=(lwh)/3

V = (12·26·32) / 3

V =3328

Answer:

The answer is

[tex]9984 cm {}^{3} [/tex]

Step-by-step explanation:

The way i solved this was by using the formula to volume. I also am doing this but for me it is a bit easier. The simple formula is Width x Length x Height. Since i already have the numbers, it is easier to plug in the numbers

Answer:

138 + 27.6 = 165.6

Step-by-step explanation:

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