help me answer this pls

Answer:

h = 13.4cm

Step-by-step explanation:

BAC + ACB = 90°

BAC + 48° = 90°

BAC = 42°

cos(BAC) = AB/BC

cos(42°) = h/18

h = 13.377 ≈ 13.4cm

The cross sections have side length equal to the vertical distance between y = √x and y = 1, or |√x - 1|. The two curves meet at the point (1, 1), and y = √x meets x = 4 at (4, 2), so we'll be integrating with respect to x on the interval [1, 4]. Over this interval, √x ≥ 1, so |√x - 1| = √x - 1.

A cross section of thickness ∆x has volume

(√x - 1)² ∆x = (x - 2√x + 1) ∆x

Then the volume of the solid is

[tex]\displaystyle \int_1^4 (x - 2\sqrt x + 1) \, dx = \boxed{\frac76}[/tex]

Answer:

volume V = 314.159265 cm³

Step-by-step explanation:

By formula, Volume is = (1/3)πr²h

0.33×3.14×12×12×5

is = 314.159265 m3

Other info

radius r = 5 m

height h = 12 m

slant height s = 13 m

volume V = 314.159265 m3

lateral surface area L = 204.203522 m2

base surface area B = 78.5398163 m2

total surface area A = 282.743339 m2

Step-by-step explanation:

first of all, your teacher wrote nonsense in the answer options : an area is always given in squared units. never in cubed units (which would be volume).

the area is : 1/2 × perimeter × apothem

the perimeter is simply 12 × 5 = 60 meters.

apothem = (a/2)×cot(pi/12) = 5/2 × cot(pi/12) =

= 9.330127019... meters

so the area is

1/2 × 60 × 9.330127019... = 279.9038106... m²

therefore, the third answer option is correct (although it is m², and not m³).

by the way, you have question 3 wrong. I answered this with the correct apothem calculation in the explanation for question 4.

Answer:

[tex]y= \frac{3}{2}x+\frac{9}{2}[/tex]

Step-by-step explanation:

First find the slope: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{-3 - (3)}{-5-(-1)} = \frac{-6}{-4} = \frac{3}{2}[/tex]

Next use the point-slope fomula and one of the points to find the line:

[tex]y-y_{1} =m(x-x_{1} )[/tex] and the ordered pair (-1,3)

[tex]y-3=\frac{3}{2}(x-(-1))\\ y-3 = \frac{3}{2}(x+1)\\y-3=\frac{3}{2}x + \frac{3}{2}\\y=\frac{3}{2}x +\frac{3}{2}+3\\y = \frac{3}{2}x + \frac{9}{2}[/tex]

Answer:

  a)  y = 3.80x +5.00

  b)  see attached

Step-by-step explanation:

A graph shows the given table values lie on a straight line.

__

Finding the slope of the line is made easier by an appropriate choice of a pair of table values:

  m = (y2 -y1)/(x2 -x1)

  m = (24 -20.20)/(5 -4) = 3.80/1 = 3.80 . . . . using (4, 20.20) and (5, 24)

The y-intercept can likewise be found with an appropriate choice of table values. Solving the slope-intercept equation for b, we get ...

  y = mx +b

  b = y -mx

  b = 8.80 -3.80 × 1 = 5.00 . . . . using the first table value

An equation that represents the cost of parking could be ...

  y = 3.80x +5.00

__

A graph of the table values and the equation is shown in the attachment.

D

__________________________________

[tex](\frac{1}{2^3})^2[/tex]

[tex](\frac{1}{8})^2[/tex]

[tex]\frac{1}{64}[/tex]

__________________________________

[tex]Determine\ whether\ (\frac{2^0}{2^3})^2\ and\ \frac{1}{64}\ are\\ equivalent:[/tex]

[tex]True[/tex]

I hope this helps you

:)

Answer:

The area of prism is calculated by:(a+b)h/2

Answer:

From the graph   range = (-inf, + inf)

Step-by-step explanation:

range is the y values that the graph can have

Answer:

A 4h

Step-by-step explanation:

[tex]7 + 2 - 5 = 9 - 5 = 4[/tex]

Answer:

D 7.42

Step-by-step explanation:

y = k x

40.81 = k ( 5.5)

k = 40.81/5.5 =

Answer:

7.07106781

simplified

7.07

Step-by-step explanation:

Answer:

4:13

Step-by-step explanation:

First as stated in the problem, mark is looking to find the ratio of Yellow rose bushes planted the Total amount of rose bushes planted; so therefor we must find the total amount of rose bushes planted first.

9+4 = 13.

13 will be our second number, since it is Yellow : total.

Then, we understand that mark plants 4 yellow rose bushes, so 4 is our first number.

Now; we can put our numbers together.

4 to 13 ; [tex]\frac{4}{13}[/tex] , or 4:13.

I really hope this helps! Have an amazing day!

Answer: There are a total of thirteen (13) rose bushes planted but specifically there are six (6) white, five (5) red, and two (2) yellow rose bushes.

Step-by-step explanation: I done it in my head to figure it out so, i hope this helps you have a good day love.

The overall accuracy of the screening test for a newly discovered disease is being evaluated for this case is 87.78% approximately.

Accuracy of a test is the ratio of the correct results to the total results the test gives.

Thus, we have:

[tex]\rm Accuracy =\dfrac{\text{Total number of correct results}}{\text{Total number of results}} = \dfrac{TP + TN}{TP + FP + TN + FN}[/tex]

where T represents True, F represents False, N represents Negative, and P represents Positive. The negativity and positivity are the results of the test.

For this case, we're specified that:

(as each test result would be one of the TP, TN, FP, FN and these four no test result can lie in more than one of these categories).

Now, we have:

true results = TP + TN = 640 + 150 = 790

total results = 900

Thus, we get:

[tex]\text{Test accuracy} = \dfrac{TP + TN}{TP + FP + TN + FN} = \dfrac{790}{900} \approx 0.8778 = 87.78%[/tex]

Thus, the overall accuracy of the screening test for a newly discovered disease is being evaluated for this case is 87.78% approximately.

Learn more about accuracy of a test here:

https://brainly.com/question/21268478

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Answer:

Get the two equations for the lines into slope-intercept form. ... Set the two equations for y equal to each other.Solve for x. ... Use this x-coordinate and substitute it into either of the original equations for the lines and solve for y.

Step-by-step explanation:

Answer:

angle HCG- 45/c

angle DF- 105/b

Step-by-step explanation:

m<HCG and m<ECD are opposite angles hence they are equal

Now

mDF=

Answer:

we need to know how many students are in the class

if there are more boys, than the probability of picking a boy is higher, and if there is more girls, the probability of picking a girl is higher and if the amount of boys and girls are the same, then the probability of picking a girl or a boy is the same.

Step-by-step explanation:

Please mark my answer as brainliest

Answer:

[tex]y \geqslant - x - 4[/tex]

Step-by-step explanation:

y≥-x-4 is the required equation

Answer:

3/18 but if you have to simplify it, it would be 1/6

Answer:

Step-by-step explanation:

For each cube the probabilty of number 3 is 1/6 since it is one option out of 6 possible numbers.

The probability of same number on all three cubes is:

Answer:

answer = C) 3 x 10 x 16 = 480 cm³

Answer:

0 < x < 28

Step-by-step explanation:

The triangle inequality theorem states that the sum of any two sides of the triangle should be greater than the third side.

Therefore,

All the possible values of x are 26 < x < 28.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

So a triangle has three sides.

We have the triangle inequality theorem which states that,

The length of any side of the triangle is always less than the sum of the other two sides.

And the range of the possible measure of the third side is the sum and the difference of the other two sides.

So x < 27 + 1 = 28

and,

x > 27 - 1 = 26

So 26 < x < 28

Hence the measures of third side is 26 < x < 28.

Learn more about Triangles here :

https://brainly.com/question/11680381

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The expression that represents the value of the stock after two years have passed is 1.5498x

Percentage is the fraction of an amount expressed as a number out of hundred. The sign used to represent percentages is %.

The value of the stock after year 1 = worth of the stock when it was bought x (1 + percentage increase in year one)

1.23x

The value of the stock after year 2 = worth of the stock in year 1 x (1 + percentage increase in year two)

1.26 x 1.23x = 1.5498x

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer:

56 miles

Step-by-step explanation:

According to the question, lets say the miles at x they charge the same rental

       34 + 0.50x = 20 + 0.75x (Solve equation)

       0.75x - 0.50x = 34 - 20

       0.25x = 14

       x = [tex]\frac{14}{0.25}[/tex]

       x = 56

So at 56 miles, they charge the same rental.

Answer:

i think they are unlike terms

Step-by-step explanation:

Answer:

1099in²

Step-by-step explanation:

SA = [tex] \sf A=2\pi rh+2 \pi r² [/tex]

⇒ SA=2πrh+2πr²

⇒ SA = 2((3.14)(5)(30)+(2)(3.14)(5²)

⇒ SA = 2((3.14)(5)(30)+(2)(3.14)(25)

⇒ SA = 1099

Surface Area = 1,099 in²

Answer: Find attached the workings in the picture.

Step-by-step explanation:

Answer: 8/9

Step-by-step explanation: Math in the image