Need answer asap, correct answer will get brainliest

The area of the region is equal to the area under the curve y = cos(x) over the interval 0 ≤ x ≤ π/6, given by the integral

[tex]\displaystyle\int_0^{\frac\pi6}\cos(x)\,\mathrm dx = \sin(x)\bigg|_0^{\frac\pi6}=\sin\left(\frac\pi6\right)-\sin(0)=\boxed{\frac12}[/tex]

which follows from

• the fact that d/dx [sin(x)] = cos(x)

• the fundamental theorem of calculus

Answer:

Amount per month contributed by employer $ = 200*0.70 = 140

Total amount employer contributes $ = 140*420 = 58800

Total amount employee contributes $ = 200*420 = 84000

Total amount after 35 years with interest calculated AT 4.8% (Employer + employee + interest) $ = 371024.67

Interest amount for 35 years accumulated $ = 228224.67

Amount deposited by employee $ = 84000

Excess amount in the account over the employee contribution

Including employer contribution $ = 287024.67

Excluding employer contribution $ = 228224.67

Step-by-step explanation:

LOOK AT THE PICTURE FOR STEPS

Answer:

i think the awnser is c . if unattended, leave the horse tire up

Answer:

D

Step-by-step explanation:

it is a quadratic trinomial

it's not possible

I think -7 is the right answer but it's not possible actually

Answer:

c. -7

Step-by-step explanation:

(x+57) + (63+67) = 180

(x+57) + 130 = 180

x + 187 = 180

x = 180-187

x = -7

why did I make it equal to 180?

all the angles in a triangle always equal 180 :)

Answer:

6/25

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Becuase it was simple math. Have a good day.

Answer:

y ≥ 14

Step-by-step explanation:

y - 27 ≥ -13

y ≥ -13 + 27

y ≥ 14

Answer:

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 1) b = 2

2) c = 20

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

3) b = 2.24

4) c = 15.62

Step-by-step explanation:

Pythagorean formula:

a² + b² = c²

3)

a² + b² = c²

2² + b² = 3²

4 + b² = 9

b² = 5

b = 2.24

4)

a² + b² = c²

10² + 12² = c²

100 + 144 = c²

244 = c²

c = 15.62

Answer:

Suppose that the mean score is M, and the range of scores is R.

The range is the difference between the largest score and the smallest score.

So, if the largest score is L, and the smallest score is S, we have:

R = L - S

Now, if the value of R increases, means that the difference between L and S also increases.

So having a large range usually is also a sign of having large variability.

Then:

a: Based on the information above, which class's scores have the most variability?

The class's scores with the most variability will be the class's scores with the largest range, in this case, the largest range of scores is for Class D.

b:  Based on the information above, which class's scores have the least variability?

Now we need to look at the class with the least range of scores, in this case, the smallest one is the one for Class A.

Answer:

he will pay back $3829.04 in total and $329.04 in interest.

Step-by-step explanation:

Answer:

The length of the lake is 1.8 miles.

Step-by-step explanation:

These are similar triangles.

Answer:

x = 36

Step-by-step explanation:

Hi,

3x-26 + 3x - 10 = 180

6x - 36 = 180

6x = 216

x = 36

hope this helps :)

Answer:

6x-36 is your answer

Step-by-step explanation:

1. remove unnecessary parentheses

2. combine like terms

3. factor

4. your answer

Answer:

115

Step-by-step explanation:

1, 7, 13, 19, 25...

1, 1+6, 1+6+6, 1+6+6+6, 1+6+6+6+6...

In 2nd number, 1 plus one 6

In 3rd number, 1 plus two 6s

:

In 20th, 1 plus nineteen 6s

1 + 6 × 19 = 115

Step-by-step explanation:

Given

[tex]5y - 4 = 126(corresponding \: angles) \\ 5y = 126 + 4 \\ 5y = 130 \\ y = 130 \div 5 \\ = 26[/tex]

Also given

[tex]126 + (6z + 6) = 180(angles \: on \: a \: straight \: line) \\ 132 + 6z = 180 \\ 6z = 18 0 - 132 \\ 6z = 48 \\ z = 48 \div 6 \\ = 8[/tex]

Lastly,

[tex]x = 180 - 126 \\ = 54(angles \: on \: the \: same \: straight \: line \: and \: corresponding \: angles)[/tex]

Answer:

x = 126

y = 26

z = 8

Step-by-step explanation:

6z + 6 + 126 = 180

6z + 132 = 180

6z = 180 - 132

6z = 48

z = 8

6z + 6 + 5y - 4 = 180

6(8) + 6 + 5y - 4 = 180

48 + 2 + 5y = 180

50 + 5y = 180

5y = 180 - 50

5y = 130

y = 26

x = 126 (Because of alternate exterior angles thm)

Answer:

Workdone = 4900joules

Step-by-step explanation:

Work-done = force x distance

Force = mass x acceleration

If we suppose that the aquarium is at height 0 at the top and height 1 at the bottom (since it's 1m deep), then we need to lift the slide at height x by x metres.

Mass = Density x Volume, therefore force needed to lift the slice is given is

F = density*volume*∆x*acceleration

Since we the mass changes as we take out water then there will be a change in height, for this reason we have ∆x.

Acceleration is due to gravity, therefore g=9.8m/s²

Density = 1000kg/m³

Volume = 4*1*1 = 4m³

F = 1000*4*∆x*9.8 = 39200∆x

Since our distance from the top of the aquarium to the bottom is x metres, then

Work-done = 39200x∆x

To find the total workdone, we find the integral of 39200xdx and the limit will be from 0 to 0.5 since we are to pump halfway of the aquarium. Integrating that we have

19600*x² limit from 0 to 0.5

19600(0.5² – 0²) = 19600(0.25 – 0) = 19600(0.25) = 4900joules

Answer:

C) 16 points

Step-by-step explanation:

Answer:

117

Step-by-step explanation:

angle 2 = 117 so angle 1 has to =63 because they have to equal 180 (supplementary angles)

angle 1 =63 .  angle 3 =117

angle 7 is the same measurement of angle 3

hope this makes sense

Answer:

117 degrees

Step-by-step explanation:

angle 1 and 2 are supplementary angles which are angles whose measurements add up to 180 degrees

this means angle 1 = 63 degrees

63 + 117 = 180

angle 1 and 3 are linear pair angles which means they also equal 180 degrees

angle 3 = 117 degrees

angle 3 and angle 7 are corresponding angles which means their degrees are equal to each other

angle 7 = 117 degrees

The relationship between angle 2 and 7 would be alternate exterior angles

Answer:

x = 9

m(AD) = 108°

m(BC) = 23°

m(DC) = 139°

m(DBC) = 162°

Step-by-step explanation:

AD = 12x°

BC = (2x + 5)°

DC = (17x - 14)°

m<AEB = right angle = 90°

AB = m<AEB = 90° (central angle theorem)

90 + 12x + (2x + 5) + (17x - 14) = 360 (full circle)

✔️Solve for x

90 + 12x + 2x + 5 + 17x - 14 = 360

Add like terms

81 + 31x = 360

31x = 360 - 81

31x = 279

x = 279/31

x = 9

✔️Find m(AD)

m(AD) = 12x

Plug in the value of x

m(AD) = 12(9) = 108°

✔️Find m(BC):

m(BC) = (2x + 5) = 2(9) + 5

m(BC) = 23°

✔️Find m(DC) = (17x - 14)° = 17(9) - 14

m(DC) = 139°

✔️Find m(DBC) = m(DC) + m(BC) = 139° + 23° = 162°

Answer:

Step-by-step explanation:

Given

Use the formula

Substitute the given numbers and solve for t:

480 because 6,720 divided by 14 is 480

Answer:

The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3

Make sure to round your answer to the nearest significant figure that you're asked.

Step-by-step explanation:

The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3

Answer:

Hope It Help

Step-by-step explanation:

Brainliest please

Answer:

Solve the 1st equation for y and then you substitute the answer of the y value to the other equation to get the x value

Answer:

(-3)^3

Step-by-step explanation: