volume of triangular prism​

Answer:

3/7

Step-by-step explanation:

A team of 7 construction workers worked together to build 3 sheds in 10 days. How much of a shed did each of them build?

Number of workers = 7

Number of sheds = 3

7 workers built 3 sheds

let

x = number of shed each worker built

Number of sheds = Number of workers × number of shed each worker built

3 = 7 * x

3 = 7x

Divide both sides by 7

3 / 7 = 7x / 7

3/7 = x

x = 3/7

x = number of shed each worker built = 3/7

Answer:

12 and 13 I believe

Step-by-step explanation:

12x12=144

13x13=169

Answer:

x² + (y + 8)² = 49

Step-by-step explanation:

You didn't ask a question

Did you want the equation for the circle?

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

Standard form is

(x - h)² + (y - k)² = r²

using (h, k) = (0, -8)

x² + (y + 8)² = r²

use the area to find r²

a = πr²

49π = πr²

Divide both sides by π

49 = r²

Now the equation can be completed

x² + (y + 8)² = 49

Answer:

A(10) = $13,961.50

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.25/100

r = 0.0525 rate per year,

Then solve the equation for A

The formula is given as:

A = Pe^rt

P = 8259

r = 0.0525

t = 10 years.

Hence,

A = 8,259.00 × e^(0.0525×10)

A = $13,961.50

Therefore, the money that will be in the account after 10 years is $13,961.50

Answer:

x= 20

Step-by-step explanation: 20+5 is 25 degrees 20 times 7 is 140-5 is 135 degrees +20 degrees equals 180 degrees

Answer:

5685.12

Step-by-step explanation:

well , I hope it helps

The number five thousand six hundred eighty-five and twelve hundredths in standard form can be written as 5685.12.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

The number five thousand six hundred eighty-five and twelve hundredths in standard form can be written as 5685.12.

Learn more about the Place Value:

https://brainly.com/question/27734142

#SPJ2

A option A

Step-by-step explanation:

according to if the binders its so important you need to buy it for $30 but its not really important buy for 16.80 and if you want to use for 1 time buy 7 binders but if you want to use much times buy for $30 and you need to see if that really care because you need to see if was a good material

Answer:

Maybe I think it is 4/11............

Answer:

jjjokiioololll.hgyuhhkopohjo

Answer:

Step-by-step explanation:

Nope<3;p

Answer:

vertical line of symmetry. if you split the shape in the middle, the two pieces would be the same. it also has rotational symmetry because if you rotate it, it would still look the same and be the same shape.

It does not have horizontal or diagonal symmetry because if you split it those ways, the two pieces made will be different. Because it has rotational and vertical symmetry, it does not have "no symmetry"

Answer:

It's a right angle triangle with

                        [tex]tan 12 = \frac{500}{x} \\\\x = \frac{500}{tan12}\\\\x = 2352.3ft[/tex]

[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]

C.) 64 to 66 seconds

because, the function is decreasing with respect to time between interval 64 to 66 seconds.

[tex]\#TeeNForeveR[/tex]

Answer:

Just put 0 on Q and do with the rest of the numbers on the top

Step-by-step explanation:

3sin(2x0) =

3sin(2×3'14/6)=

*pie is equal to 3,14

3sin(2×3,14/4)=

9514 1404 393

Answer:

  4. height: 5√3 cm; area: 25√3 cm²

  5. 30√2 ft ≈ 42.43 ft

Step-by-step explanation:

4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...

  height = (√3)/2 × (10 cm) = 5√3 cm

The area is given by the formula ...

  A = 1/2bh

  A = 1/2(10 cm)(5√3 cm) = 25√3 cm²

__

5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...

  (30 ft)√2 ≈ 42.43 ft

__

The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.

  d = √(30² +30²) = √1800 ≈ 42.43 . . . feet

Answer(s):

[tex]\displaystyle y = 4sin\:(x + \frac{\pi}{2}) - 1 \\ y = 4cos\:x - 1[/tex]

Explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4sin\:x - 1,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex] which means the C-term will be negative, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex] So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 4sin\:(x + \frac{\pi}{2}) - 1.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [0, 3],[/tex] from there to [tex]\displaystyle [2\pi, 3],[/tex] they are obviously [tex]\displaystyle 2\pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 2\pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -1,[/tex] in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts horisontally, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

Your answer would be 1 x10^6.

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the.

The sign of the exponent will depend on the direction you are moving the decimal.

Hope that makes sense.

Answer:

ab= 11 and bc = 8

Step-by-step explanation:

Answer:

AB = 11 units,   BC = 8 units,

Step-by-step explanation:

Answer:

2 1/3 planes

Step-by-step explanation:

3.5 lego planes / 60 minutes

So fraction =

3.5/60

In 40 minutes he will build x planes

So the fraction equation is:

3.5/60 = x/40

Solve:

Cross multiply =

140 = 60x

x = 2 1/3

2 1/3 planes

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Step-by-step explanation:

11x-3=8x+15( inscribed angle on same arc are equal)

11x-8x=15+3

2x=18

x=9

now, angle ABD

measure of arc AD= 96/2 arc is half of inscribed angle)

The measure of the arc of the circle AD = ( 0.7 )πr

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the measure of the angle subtended by the arc be

The measure of ∠ABD = ( 11x - 3 )°

The measure of ∠ACD = ( 8x + 15 )°

And , the angle subtended by the same arc are same

So , ( 11x - 3 )° = ( 8x + 15 )°

On simplifying , we get

3x = 18

Divide by 3 on both sides , we get

x = 6

So , the measure of ∠ABD = 63°

Now , the measure of central angle = 2 x 63° = 126°

And , the length of the arc s = ( 0.35 ) x 2πr

Hence , the measure of arc AD = ( 0.7 )πr

To learn more about central angle click :

https://brainly.com/question/11877137

#SPJ2

Answer:

180

Step-by-step explanation:

[tex] sa = 2( \frac{1}{2} )(6)(4) + 10(5 + 5 + 6)[/tex]

[tex] = 24 + 10(16)[/tex]

= [tex]24 + 160[/tex]

[tex]180[/tex]

..................

hope it helps...

have a great day! ! !

Answer: total surface area would be 28.3310501 cm2 or 28.3 cm2 rounded to the nearest tenth

Answer:

180 cups

Step-by-step explanation:

120 cups when two-third full

If 120= (2÷3)

Then one third full is 60 cups

So 60 cups × 3

180 cups

Answer:

936 square units.

Step-by-step explanation:

Area formula of trapezoid: [tex]A=\frac{a+b}{2}h[/tex]

given information:

   a = 40

   b = 64

   h = 18

plug them into the formula:

[tex]A=\frac{40+64}{2}\cdot 18[/tex]

[tex]A = 936[/tex]

Add 150 to what he has in his account, then subtract the cost to fix the furnace.

400.56 + 150 = 550.56

550.56 - 450.50 = 100.06

He will have $100.06 in his account.

Answer:

13) 142° (intercepted arc is twice the inscribed angle)

14) 23° (inscribed angles is half of the intercepted arc)

15) Since RT is a diameter and arcRS = 46°, then arcST = 180° - 46 = 134°

16) Using the result of #13, arcRQ = 180° - 142° = 38°