Measuring by using Trigonometry

Answer:

Step-by-step explanation:

the equation for right cylinder surface area: 2πrh+2πr^2

Answer:

33π cm²

Step-by-step explanation:

To find surface area you add the area of every face.

Area of the 2 circle faces:

The formula for the area of circle is πr². If the diameter is 6 you divide that by 2 to get a radius of 3. The area of the circle is 9π. Sense the top and bottom are both circles you multiply the area by 2 to get 18π.

Area of side face:

To find the area of the side, it is the same as a rectangle (length [circumference] multiplied by height [2.5]). The forumla for the circumference of a circle is πd. The circumference is 6π so multiply that by the height of 2.5 to get the area of the side of 15π.

Total surface area:

Now add the 18π (area of 2 circle faces) with the 15π (area of side face) to get 33π cm² surface area.

Answer:

They each get 8 cookies

Step-by-step explanation:

24 divided by 3 is 8. There are other ways if the question allows there to. be some cookies left over.

Answer:

The answer should be C

Answer:

[tex]f^{-1}(7)=2[/tex]

Step-by-step explanation:

[tex]f^{-1}(7)[/tex] means substitute x = 7 into the inverse function [tex]f^{-1}[/tex]

[tex]\implies f^{-1}(7)=\frac{7-1}{3} =2[/tex]

Answer:

30

Step-by-step explanation:

the sum of the three angles in a triangle is 180

so we have,

70+70+x=180

140+x=180

x=180-140=40

now, find the sum of 40 and 63

it is 103

subtract,

180-103=77

add,

77+73=150

180-150=30

30

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Answer:

34

Step-by-step explanation:

73 + 73 = 146

180 - 146 = 34

Have a good day!

Answer:

0.5inches=75miles

[tex]3.5 = 75 \times 7 = 525[/tex]

so it means the distance between the two towns is 525miles

Answer:

y=3x+5

Step-by-step explanation:

first you find the slope by doing rise over run. then you would put the slope into point-slope formula which is y-y1=m(x-x1), then you simplify into y=mx+b  (slope intercept form). which gets you your final answer.

Answer:

y = x + 18

Slope = 1

Intercept = 18

Step-by-step explanation:

I feel like this graph would be better at describing it than words.  Basically, for every time that it goes up once, it also goes over once, and it starts at the height of 18.

[tex] \leadsto \tt y=-2(x+1)(x-2)[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \tt y=-2(x {}^{2} - 2x + x - 2)[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \tt y=-2(x {}^{2} - x - 2)[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \tt y=-2x {}^{2} + x + 2[/tex]

It will take 5 hours to pump 60000L of water using 9 pumps

Data;

Rate = Time * number of pumps

[tex]\frac{a}{3*10} = \frac{60000}{40000}\\ \frac{a}{30} = \frac{6}{4} \\a = 45[/tex]

But since we've established the equation above, let's substitute the values and solve for the time required to pump 60000L into the dam using 9 pumps as compared to 10 pumps. We can easily do this by calculating the rate of the pump.

Rate = time * number of pumps

[tex]45=x*9\\x = \frac{45}{9} \\x = 5 hours[/tex]

It will take 5 hours to pump 60000L of water using 9 pumps

Learn more on rate of flow here;

https://brainly.com/question/21630019

Step-by-step explanation:

[tex]4(3 + c) + c = c + 4 \\ 12 + 4c + c = c + 4 \\ 12 + 5c = c + 4 \\ 12 + 4c = 4 \\ 4c = 4 - 12 \\ 4c = - 8 \\ c = - 2[/tex]

Answer:

x = 30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

247/612

Step-by-step explanation:

247 heart beats / 612 minutes

beats/ minutes

Answer:

THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.

Step-by-step explanation:

Table of ordered data

number of       value

data

1                      62

2                      88

3                      89

4                      90

5                      92

6                      95

7                      96

8                      98

9                    100

10                  100

Range of scores: 100 - 62 = 38

Oulier: 62 => Range without the outlier = 100 - 88 = 12

Interquartile range, IQR, = difference between third quartile and first quartile: IQR = Q3 - Q1

Quartlies of all the data:

1                      62

2                      88

3                      89 ---------------   first quartile, Q1 = 89

4                      90

5                      92

------------------------------------------ median, Q2 = (95 + 92) / 2 = 93.5

6                      95

7                      96

8                      98 ---------------- third quartile, Q3 = 98

9                    100

10                  100

=> IQR = 98 - 89 = 9 : the interquartle range is 9

Quartlies without the outlier:

2                      88

3                      89

------------------------------------- first quartile, Q1 = (89 + 90) / 2 = 89.5

4                      90

5                      92

6                      95 --------------- median, Q2 = 95

7                      96

8                      98

------------------------------------ third quartile, Q3 = (98 + 100) / 2 = 99

9                    100

10                  100

=> IQR = Q3 - Q1 = 99 - 89.5 =  : the interquartle range without the outlier is 9.5

Therefore, the outlier impacts more the range than it impacts the IQR.

THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.

Answer:

17. False: ∠QUR is a right angle.

18. True

19. False: change supplementary into complementary.

20. True.

21. False: change 40 into 55.

22. False: change the second 150 into 30.

23. False: change 180 into 90.

Answer:

equation: sin 20 = 15/x

x=43.86

Step-by-step explanation:

sin = opposite over hypotenuse = 15/x from the corner with angle 20

Answer:

4:23

Step-by-step explanation:

4 to 23 is the ratio because if some is representing the rest of the horses then there is 23 black and 4 white so 4 to 23 is the ratio of white to black horses.

Hope it helps have a great day :)

Answer:

B

Step-by-step explanation:

x² - 12x + 11 = 0 ( subtract 11 from both sides )

x² - 12x = - 11

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 11 + 36

(x - 6)² = 25 ( take square root of both sides )

x - 6 = ± [tex]\sqrt{25}[/tex] = ± 5 ( add 6 to both sides )

x = 6 ± 5

Then

x = 6 - 5 = 1 ⇒ (1, 0 )

x = 6 + 5 = 11 ⇒ (11, 0 )

Answer:

192 cm3

Step-by-step explanation:

The volume of any pyramid is 1/3 × b × h, where b =  area of base of the pyramid and h = height of the pyramid.

Area of Base:

Now, we multiply 24 by 24.

Lastly, we divide by 3.

Therefore, the answer is 192 cm^3.

Using the permutation formula, it is found that there can be 600 winning combinations.

There are roles involved(president, vice-president, secretary and treasures), hence the order is important and the permutation formula is used.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem:

Hence:

[tex]T = P_{6,2}P_{5,2} = \frac{6!}{4!} \times \frac{5!}{3!} = 30 \times 20 = 600[/tex]

There can be 600 winning combinations.

More can be learned about the permutation formula at https://brainly.com/question/25925367

Answer:

a ≈ 9.8 yd³

Step-by-step explanation:

Given: V ≈ 941 yd³

Using the formula: V = a³

Solving for a: A = [tex]V^{\frac{1}{3} }[/tex]  = [tex]941^{\frac{1}{3} }[/tex] ≈ 9.79933

Round to the nearest tenth: a ≈ 9.8

Answer:

An expression obtained from the square of the binomial equation is a perfect square trinomial. If a trinomial is in the form

[tex]ax 2 + bx + c[/tex]

is said to be a perfect square, if and only if it satisfies the condition b 2 = 4ac.

Step-by-step explanation:

hope it will help you have a great day bye and Mark brainlist if the answer is correct

[tex]kai6417[/tex]

Answer:

[tex]5.4x18 = 97.2[/tex]

Step-by-step explanation:

5.4

×

18

=97.2

Answer:

4x18=72 that's the correct answer I use calculator

Answer:

105/120

48/120

50/120

Step-by-step explanation:

8, 5, 12

8 = 2³

5 = 5

12 = 2² × 3

LCD = 2³ × 3 × 5 = 8 × 3 × 5 = 120

120/8 = 15

7/8 = (7 × 15)/(8 × 15) = 105/120

120/5 = 24

2/5 = (2 × 24)/(5 × 24) = 48/120

120/12 = 10

5/12 = (5 × 10)/(12 × 10) = 50/120

Answer:

$20

Step-by-step explanation:

if one ound = 16 ounces then you would do 1.25x16 witch equals $20

If oranges were 1.25$ per pound. then the cost to buy x pounds of oranges would be 1.25x $.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If oranges were 1.25$ per pound. We need to find the cost to buy x pounds of oranges.

The cost of oranges per pound = 1.25$

The cost of oranges x pound = 1.25$ × x

                                                 = 1.25x $

Thus, The cost to buy x pounds of oranges would be 1.25x $.

Learn more about the unitary method;

https://brainly.com/question/23423168

Answer:

50.5 m^3

Step-by-step explanation:

Volume of pyramid = 1/3 × base area × height.

Area of Base:

Next, we multiply 13.76 by 11.

Lastly, divide by 3 and round to nearest tenth.

Therefore, the answer is 50.5 m^3

answer

x=180-87-33

= 60

y= mx=b.y= 3x-8

Step-by-step explanation:

lmk if its wrong