The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 15 cosine (StartFraction pi Over 20 EndFraction t). How long does it take for the waterwheel to complete one turn? 5 seconds 10 seconds 20 seconds 40 seconds.

The corresponding height of the triangle is 1.6 units

The formula for calculating the area of a triangle is expressed as:

[tex]A=\frac{1}{2} bh[/tex]

Given the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units[/tex]

The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:

[tex]A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\[/tex]

Substituting the coordinate points:

[tex]A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2[/tex]

Recall that:

[tex]A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h= 1.6 units[/tex]

Hence the corresponding height of the triangle is 1.6 units

Learn more on area of triangles here: https://brainly.com/question/17335144

Answer:

adults 15 and children 9

Step-by-step explanation:

The motorcycle needs to travel 40 km, 0.42 gallons of fuel.

Given that,

A motorcycle can travel 60 miles per gallon.

We have to find,

How many gallons of fuel will the motorcycle need to travel 40 km?

According to the question,

The motorcycle travel 60 miles per gallon,

The motorcycle travels 40 km,

To convert it into kilometers 60 miles per gallon.

[tex]\rm 1 \ mile = 1.6\ k.m.\\\\60 \ miles \times 1.6 \ k.m. = 96 \ k.m.[/tex]

Therefore,

The gallons of fuel will the motorcycle need to travel 40 km is,

[tex]= \dfrac{96}{40}\\\\= 0.42[/tex]

Hence, The motorcycle needs to travel 40 km, 0.42 gallons of fuel.

For more details refer to the link given below.

https://brainly.com/question/13108874

Answer:

-4

Step-by-step explanation:

14b = -56

divide by 14

-56 ÷ 14 = -4

b = -4

I hope this helps!

Answer:

b = -4

Step-by-step explanation:

[tex]14b = -56\\\\rule{150}{0.5}\\\frac{14b=-56}{14}\\\\ \boxed{b = -4}[/tex]

Hope this helps.

Answer:

₹1680

Step-by-step explanation:

Road  Length (m)  Width (m)   Area ([tex]m^{2}[/tex])

  1            80              10              800

  2           60              10               600

(800+600) = 1400 ([tex]m^{2}[/tex])

1400 ([tex]m^{2}[/tex])*(₹ 1.20/m) = ₹1680

Step-by-step explanation:

the only reason you would need help with this is, if you don't understand what exponents are and how they work.

because once you understand that, you can do the whole question in 30 seconds yourself. way faster than the posting here and then copying answers back into your system.

so, let me explain this important element :

when you have something like 5³, then this 3 is the exponent, and the 5 is the base.

when we talk about such a thing we typically say "5 to the power of 3".

now what did it mean ?

well, it is a multiplication. a multiplication of the base by itself (like when we square a number).

and the exponent tells is how often the base is multiplied by itself.

so, back to my example :

5³ = 5×5×5

3² = 3×3

13⁴ = 13×13×13×13

once you understand that, you can solve the question yourself in seconds.

e.g. the first is looking for the equivalent of 7⁴.

we need to find the answer option that dissolves this like the examples above to 7×7×7×7.

and we find B to be the right answer.

for 3⁶ = 3×3×3×3×3×3

and E is right. and so on.

Answer:

d + 8/hr

Step-by-step explanation:

Answer:

43.5

Step-by-step explanation:

x/2+5y-1.5

10/2+5×8-1.5

5+40-1.5

5+38.5

=43.5

Answer:

43.5

Step-by-step explanation:

x ÷ 2 + 5y - 1.5

Start by replacing the x's and y's

10 ÷ 2 + (5 · 8) - 1.5

Start with parenthesis

10 ÷ 2 + 40 - 1.5

Then do the division

5 + 40 - 1.5

Then go left to right

45 - 1.5

43.5

I hope this helps!!!

Answer: No association

Step-by-step explanation:

There is absolutely no pattern going on. This means that the miles ran per week are not really affecting the standing heartbeat. Therefore, I'd say there is no association.

Answer:

3/x+2 = 4/y

then y equals

3y = 4(x+2)

y = 4x + 8 / 3

Answer:

1. C

2. C

Hope This Helps!!!

Answer:

50,0

Step-by-step explanation:

So we know 500×100=50,000

So it's 50,000

The expression that can be used to approximate the expression below is[tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]

[tex]log_a x = \frac{log_{10}a}{log_{10}x}[/tex]

This is similar to the option c where the base of "b" was used as [tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]

Learn more on law of logarithms here: https://brainly.com/question/11587706

Answer: C

Step-by-step explanation:

If you don't want to read it all

Answer:

2055 is the answer.

Step-by-step explanation:

If x represents the number of minutes and y represents the hiker elevation in feet.

y = 8.19x + 663

y = 8.19(170) + 663

y = 1392.3 + 663

y = 2055.3

Hope it helps:)

Answer:

:)

Step-by-step explanation:

Answer:

C.$0.60

hope this help!!!!!!!!!!!!!!!!!!!!!!

Answer:

[tex](4+4n)+(7+2a) = 11+4n+2a[/tex]

Step-by-step explanation:

Answer: 241,200

just multiply and add hope this helps

Answer:

24,1200

Step-by-step explanation:

400x600=24,000

Then let's add 24,000+1,200 which is 24,1200.

Answer:

38.14 but if rounded up it becomes 38.15

Answer:

y = -9

Step-by-step explanation:

Combine like terms first; 6y-8y=-2y and -8-6=-14  

-2y-14=4.

Then add 14 to both sides.

-2y=18

Lastly, divide both sides by -2

y=-9

Answer: = -9

Step-by-step explanation:

1. subtract -8-6 which equals -14

2. Combine like terms which are -8y and 6y and you should get -2y

3. Add 14 on both sides eliminate the -14 on one side. it should be -2y = 18

4. Now you want to get y all on its own so you divide -2 on both sides -2y/2 = 18/-2

5. and you should be able to cancel out -2y and get y= -9

Answer:

22-1n-3

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

The amount donated to the animal shelter is $258

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Percentage to donate to the shelter = 75%

The expression that shows the amount from the first and second craft shows.

24n + 32 _____(1)

40n + 56 ______(2)

Where n is the amount of each bracelet.

Now,

Cost of each bracelet = $4.

From (1) and (2) we get,

24 x 4 + 32 = 96 + 32 = 128

40 x 4 + 56 = 160 + 56 = 216

Now,

The total amount collected from both the craft shows.

= 128 + 216

= $344

The amount donated to the animal shelter.

= 75% of $344

= 75/100 x 344

= $258

Thus,

The amount donated to the animal shelter is $258

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

Based on the information given, it should be noted that the supplement will be 48°.

It should be noted that two angles are called supplementary angles when the values that are added together will be equal to 180°.

In this case, we've been informed that one of the angles is 132°. Therefore, the value of the second angle will be:

= 180° - 132°

= 48°

The second angle is 48°.

Learn more about angles on:

https://brainly.com/question/23991796

Hi, let me help you out!

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

In this problem, we're trying to find the supplement of [tex]\tt{132\textdegree}[/tex].

Supplementary angles add up to [tex]\tt{180\textdegree}[/tex].

So, let's find its supplement:

[tex]\tt{\angle x+132=180}[/tex], where x is the unknown angle.

Subtract 132 from both sides of the equal sign:

[tex]\boxed{\tt{\angle x=48\textdegree}}[/tex] [tex]\longleftarrow\tt{We\:conclude\:that\:this\:is\:the\:answer.}[/tex]

I hope it helps you! Have an awesome day!

If you need any explanation or clarification, feel free to comment and ask me, and I'll respond asap and do my best to help you out! :D

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -  - - - - -  - - - - - - - -

Answer:

1/4

Step-by-step explanation:

its kinda hard to

explain

Step-by-step explanation:

I do not understand .____.

Answer:

  no real solutions

Step-by-step explanation:

If it is a quadratic equation, there are always two solutions, regardless of the value of the discriminant.

When the discriminant is negative there are no real solutions, but there are two complex solutions.

Answer 4/5 now give brainliest

Answer:

-0.048

Step-by-step explanation:

-1.2 * 0.04 = -1.2 * 4 / 100 = -4.8 / 100 = -).048