What is the volume of a cylinder, in cubic cm, with a height of 3cm and a base diameter of 10cm? Round to the nearest tenths place.

Step-by-step explanation:

A. First, convert 30 minutes to a hour.

[tex] \frac{30 \: mins}{1} \times \frac{1 \: hour}{60 \: mins} = 0.5 \: hours[/tex]

[tex]4 + 0.5 = 4.5 \: hours[/tex]

Now, we can subsitue.

Part A: 1.

[tex]d(t) = 6 + 5.5 \cos( \frac{\pi}{6}(4.5) ) [/tex]

[tex]d(t) = 6 + 5.5 \cos( \frac{3\pi}{4} ) [/tex]

Part B:

[tex] \cos( \frac{3\pi}{4} ) = - \frac{ \sqrt{2} }{2} [/tex]

so

[tex]6 + 5.5( - \frac{ \sqrt{2} }{2} )[/tex]

which is approximately

2.11. feet.

Part C: The depth of the water is approximately 2.11 feet in 4.5 hours, or 4 hours and 30 minuties.

Answer: y = x - 4

Step-by-step explanation:

Slope intercept form is y = mx + b

    Given:

-2x = -8 -2x

    Add 2x and 2y to both sides of the equation:

2y = 2x - 8

    Divide both sides of the equation by 2:

y = x - 4

Answer:

x = 15units

Solving steps:

QS = 16 + 9

QS = 25

Cos(QSR) = RS/QS

Cos(QSR) = x/25

Cos(RST) = ST/RS

[tex] \frac{x}{25} = \frac{9}{x} [/tex]

=> [tex]x {}^{2} = 225[/tex]

=> [tex]x = \sqrt{225} [/tex]

=> x = 15

Answer: 10 units

Step-by-step explanation:

     We will use the distance formula and solve. Let (3, 0) be point 1 and (-3, -8) be point 2.

d = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]

d = [tex]\sqrt{(-3-3)^{2} +(-8-0)^{2} }[/tex]

d = [tex]\sqrt{(-6)^{2} +(-8)^{2} }[/tex]

d = [tex]\sqrt{36 +64}[/tex]

d = [tex]\sqrt{100}[/tex]

d = 10

            The distance between the two points given is 10 units.

Answer:

112-40=72in............

......

Answer: y=5x-11

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+2) x^3+0x^2+0x-4(x^2-2x+4

       x^3+2x^2

      -      -

_______________

             -2x^2+0x

             -2x^2-4x

             +       +

            ____________

                         4x-4

                         4x+8

                        -     -

                       ______

                              -12

                           _____

[tex]\frac{x^3-4}{x+2} =x^2-2x+4+\frac{-12}{x+2}[/tex]

Answer:

Step-by-step explanation:

I guess it is 65 because the table said so

Trigonometric function gives the ratio of different sides of a right-angle triangle. The value of Cos(x), if the value of Sin(x) is 0.3 is 0.954.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As the value of  sin(x) is given to us, therefore, we will find the value of x firstly,

[tex]\rm Sin(x)=0.3\\\\x = Sin^{-1}\ 0.3\\\\x = 17.4576[/tex]

Therefore, the value of cos(x) can be written as,

[tex]\rm Cos(x)\\\\= Cos(17.4576)\\\\= 0.9539\approx 0.954[/tex]

We can also use the trigonometric property, therefore,

[tex]\rm (Sin\ x)^2 +(Cos\ x)^2=1\\\\0.3^2 + (Cos\ x)^2 = 1\\\\Cos(x) = \sqrt{1-0.3^2}\\\\Cos(x)=0.954[/tex]

Hence, the value of Cos(x), if the value of Sin(x) is 0.3 is 0.954.

Learn more about Trigonometric functions:

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x = 5, AB = 14, BC = 8

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

Explanation:

The triangles are similar, which can be proven through the angle angle theorem.

The similar triangles allow us to form the proportion below.

EB/DB = AB/BC

7/4 = (2x+4)/(x+3)

7(x+3) = 4(2x+4)

7x+21 = 8x+16

21-16 = 8x-7x

5 = x

x = 5 is part of the answer

Then we can use that x value to find the following

AB = 2x+4 = 2*5+4 = 14 is the length of AB

BC = x+3 = 5+3 = 8 is the length of BC

Answer:

first find the slope

finding slope

y2-y1/x2-x1

-5-4/5-3

-9/2

then the slope is -9/2 or -4.5

then y=mx+b

y=-4.5x+b

then replace y=-4.5x+b

replace y by 4 and x by 3

4=-4.5times 3 +b

4=-13.5+b

b=17.5

then the equation is y=4.5x+17.5

if you have any question ask me thank you

The fraction of the fence completed in one hour at a rate of  [tex]\frac{2}{5}[/tex] of the

fence in  [tex]\frac{3}{4}[/tex] hours is  [tex]\frac{8}{15}[/tex].

The fraction of the fence completed in [tex]\mathbf{\frac{3}{4}}[/tex] of an hour = [tex]\frac{2}{5}[/tex]

Required:

The fraction of the fence the student completes per hour;

Solution;

The time [tex]\mathbf{\frac{2}{5}}[/tex] of the fence is completed =  [tex]\frac{3}{4}[/tex] of an hour

Therefore;

[tex]The \ in \ \mathbf{\frac{\dfrac{3}{4} \ hour}{\dfrac{3}{4} \ hour}} = 1 \ hour \ the \ frraction \ completed = \dfrac{\dfrac{2}{5} }{\dfrac{3}{4} \ hour} = \dfrac{8}{15} \ per \ hour[/tex]

The fraction of the fence completed per hour = [tex]\underline{\frac{8}{15}}[/tex]

Learn more about fractions here:

https://brainly.com/question/21339546

Answer:

part a: is c

part b: $33.25

Step-by-step explanation:

PART A: I did 6x68.45=410.70

8x39.71=317.68

3x52.25=156.75

410.7+317.68+156.75=885.13

so the closest thing to it is c

PART B: i did

5x2.89=14.45

10x9.91=79.10

48x0.36=17.28

14.45+79.10+17.28=110.83

144.08-110.83=33.25

so the case of air fresheners was $33.25

Answer:

only one (1) solution

Step-by-step explanation:

[tex]6 = \frac{x}{4} + 2 \\ \\ 6 - 2 = \frac{x}{4} \\ \\ \frac{x}{4} = 4 \\ \\ x = 4 \times 4 \\ \\ x = 16.[/tex]

The above equation has one solution .

Answer:

235 x 4035 = 948,225

Step-by-step explanation:

Answer:

m∠S = 29.5

Explanation:

     Q

S [tex]\huge\boxed {\sf \triangle}[/tex] R

In this triangle, QR = SQ, which means its an isosceles triangle, angle S and R is similar.

Thus solve:

m∠S = (180° - 121°)/2

m∠S = 29.5°

∆QRS is isosceles

So

<Q=<S=121°

The maximum possible salary for each player is calculated as $27,272.72

Data;

The maximum possible salary for a single player in each team can be calculated when we divide the total maximum allowed salary for the team by the total numbers of players. This would put all the players on an even pay or equal pay.

Let the maximum possible allowed salary be represented by x

[tex]x = \frac{60000}{22} \\x= 27,272.72[/tex]

The maximum possible salary for each player is calculated as $27,272.72

Learn more on ratios or proportions here;

https://brainly.com/question/1781657

Answer:

the correct answer is 1 bird

Step-by-step explanation:

hope this helps

have an awesome day -TJ

may i please have brainliest

Answer:

[tex]\frac{7}{20}[/tex] or 0.35

Step-by-step explanation:

[tex]\frac{3}{4} * \frac{7}{20} \\3*7=21\\4*15=60\\\frac{21}{60} \\[/tex]

Now simplify.

[tex]\frac{21}{60}[/tex] = [tex]\frac{7}{20}[/tex]

Answer:

2

Step-by-step explanation:

because they have the same symbol which let's them be able to add or sybtract

Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

step 1: add the ratios

1/2 + 1/4 + 1/5 = 0.95

step 2: divide each ratio by the total sum of the ratios and multiply by a 100

(1/2 ÷ 0.95) × 100 = 52.63 rounded off equals to 53

(1/4 ÷ 0.95) × 100 = 26.31 rounded off equals to 26

(1/5 ÷ 0.95) × 100 = 21.05 rounded off equals to 21

These ratios should add up to a 100

so the ratio are 53 : 26 : 21

Answer:

The degree of overlap between the two distributions is moderate.Step-by-step explanation:A grocery store received two shipments of watermelon. Each watermelon in a shipment was weighed, then a line plot was made of all of the weights in a shipment. What statement about the two plots’ distributions is true?The true statement is - option A - The degree of overlap between the two distributions is moderate.

Step-by-step explanation:

mark me brainliest!!