Find the Volume of the triangular prism

Given

Length =9 m

Breadth =6 m

Area of the rectangle= (length × breadth) sq. units

=(9×6) m

2

=54 m

2

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option b

see attachment for solution

hope it helps...!!!

Answer:

3

Step-by-step explanation:

log(5) 125 =x

5^x = 125

5^x = 5^3

x=3

Answer:

C

Step-by-step explanation:

11 | 2   means    112

A is wrong because 11 | 2 cannot mean 12.

B is wrong because stem with value 1 doesn't exist.

D is wrong because stems and leaves are not added to give real value.

Hope this helps!

Answer:

Step-by-step explanation:

The parameter of interest can be found by putting the given values into the appropriate volume or area formula for a pyramid, then solving for the unknown. The relevant formulas are ...

  V = 1/3s²h . . . . . s is the base length; h is the height

  A = s(s +2h) . . . . s is the base length; h is the slant height

__

Using the given values for the volume and the length of the base, the formula becomes ...

  V = 1/3s²h

  96 m³ = 1/3(6 m)²h . . . . . . . . . . use the given values for V, s

  (96 m³)/(12 m²) = 8 m = h . . . . . divide by the coefficient of h

The height of the pyramid is 8 meters.

__

Using the given values for area and the length of the base, the formula becomes ...

  A = s(s +2h)

  47.25 in² = (3.5 in)(3.5 in + 2h) . . . . use the given values for A, s

  13.5 in = 3.5 in + 2h . . . . . . . . . . . divide by 3.5 in

  10 in = 2h . . . . . . . . . . . . . . . . . subtract 3.5 in

  5 in = h . . . . . . . . . . . . . . . . divide by 2

The slant height of the pyramid is 5 inches.

Answer:

17,964.9 cubic meters

Step-by-step explanation:

Hey there!

The formula for finding the area of a sphere is:

[tex]V=(4/3)\pi r^3[/tex]

Where V is volume, and r is radius

The question already tells us that the diameter is 32.5m

*Remember, the diameter isn't the radius. It is the radius times two*

Now, we have to divide 32.5 by 2 to get the radius

32.5/2 is 16.25

Now we can plug this into the formula

16.25 cubed is 4291 after being rounded to the nearest tenth

Now we multiply 4291 by 3.14 (pi)

4291 x 3.14 is 13473.7 after being rounded to the nearest tenth

Now multiply 13473.7 by 4/3 and then you will get the volume to the sphere

13473.7 x 4/3 is 17964.93333333...

Since it is asking us to round to the nearest tenth of a cubic meter;

The volume of the sphere will be 17,964.9 cubic meters

[tex]\rule{300}{1}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

What is the volume of a sphere with a diameter of 32.5 m, rounded to the nearest tenth of a cubic meter (m³)?

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

We are asked to find the volume of a sphere, which we can find using the following formula:-

[tex]\bold{V=\dfrac{4}{3} \pi r^3}[/tex]

[tex]\bold{r=d\div2}[/tex]

Replace d with 32.5:-

[tex]\bold{r=32.5\div2}[/tex]

Therefore, the sphere's radius is as follows:-

[tex]\bold{r=16.25}[/tex] m

[tex]\rule{300}{1}[/tex]

Now, let's find the sphere's volume, which, as I mentioned earlier, can be found with the help of this formula:-

[tex]\bold{V=\dfrac{4}{3} \pi r^3}[/tex]

Replace r with 16.25:-

[tex]\bold{V=\dfrac{4}{3} \pi (4291)}[/tex]           Next, we replace π with 3.14:-

[tex]\bold{V=\dfrac{4}{3} \times3.14\times4291}[/tex]

On simplification,

[tex]\bold{V=\dfrac{4}{3} \times13,473.74}[/tex]

On further simplification,

[tex]\bold{V=17,964.9\:m^3}\Longleftarrow\sf{volume\:of\:the\:sphere}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

$2

Step-by-step explanation:

see photo for solution

Answer:   Vertical stretch by a factor of 5.8 , reflection across x-axis ⇒ answer B

Step-by-step explanation:

* Lets revise the vertical and horizontal stretch with reflection

- A vertical stretching is the stretching of the graph away from the

x-axis

- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched

by multiplying each of its y-coordinates by k.

- If k should be negative, the vertical stretch is followed by a reflection

across the x-axis  

- A horizontal stretching is the stretching of the graph away from

the y-axis

- If 0 < k < 1 (a fraction), the graph of y = f(k•x) is f(x) horizontally

stretched by dividing each of its x-coordinates by k.

- If k should be negative, the horizontal stretch or shrink is followed

by a reflection in the y-axis

* Lets solve the problem

∵ G(x) = sin x

∵ F(x) = -5.8 sin x

∴ F(x) = -5.8 G(x)

- From the rule above

∴ G(x) is stretched vertically by scale factor -5.8

∵ The scale factor is negative

∴ The vertical stretch is followed by a reflection across the x-axis  

* The transformation is:

 Vertical stretch by a factor of 5.8 , reflection across x-axis

Answer:

The answer should be 420.

~

Step-by-step explanation:

Answer:

A or 2

Step-by-step explanation:

Reason:

The 5's cancel out leaving the 2 behind as the final answer.

Another way to look at it is that the 5*2 up top multiplies to 10, then we divide that by the 5 in the denominator to end up with 10/5 = 2

If you are a visual learner, then draw a circle and divide it into 5 equal slices. Do this a total of five times. Each pizza having 2 slices, and 5 pizzas total, gives 2*5 = 10 slices overall. These ten slices can be rearranged into making 2 full pizzas.

See below.

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

C) 150

Step-by-step explanation:

A decrease of 50% every two days can be predicted with the formula
x * 0.5^t
x being the start amount
t being time
5 days with periods of 2.5 days, 5 / 2.5 = 2
start amount of 600
600 * 0.5^2
600 * 0.25
150 so C

using Indices we can simplify the square root of 10,000,000 using powers of ten is: [tex]10^{7/2}[/tex]

Indices in mathematics can be defined as a value that takes up in index form but still retain its magnitude.

It is writing big or complicated values in a simpler and smaller way.

Indices is so important for simplicity purposes.

in conclusion, using Indices we can simplify the square root of 10,000,000 using powers of ten is: [tex]10^{7/2}[/tex]

Learn more about indices: https://brainly.com/question/170984

#SPJ1

Answer:

Step-by-step explanation:

Answer:

choice 2

Step-by-step explanation:

Arithmetic sequences arare linear. The common difference is the slope. The points given are (3,10) And (5,26).

The slope is the change of y (26-10=16) over the change of x (5-3=2); this is 16/2=8.

The equation of line in slope-intercept form whose slope is given as 8 is y=8x+b.

We may plug in a point to solve for b.

Let's plug in (3,10):

10=8(3)+b

10=24+b

10-24=b

-14=b

So the equation we are lookinlooking for is y=8x-14 which is choice 2.

Answer:

The sophomore in her school is 75

Step-by-step explanation:

Solution

The plot shows the distribution of 30 sophomores

We can see that there are 3 main vertical

line in red pen in the picture above.( distribution)

The first line means Minimum

The third line means the maximum

The second line means the medium

So the Medium is 75. And 30 sophomores in her

School took the survey.

So the medium belongs to them

To form equations from word problems, we can do the following:

We're given:

Question: How many individual tickets were sold? (What is the value of x?)

Here are all the equations we have created:

We can solve for the value of x using systems of equations.

First, isolate y in the first equation:

[tex]x = 36 + y\\y=x-36[/tex]

Now, plug this into the second equation:

[tex]7x + 16y = 574\\7x + 16(x-36)= 574\\7x+ 16x-586= 574\\23x=1150\\\\x=\dfrac{1150}{23}\\\\x=50[/tex]

Therefore, x is equal to 50.

50 individual tickets were sold.

Answer:

  3

Step-by-step explanation:

The difference of the two y-coordinates is found by ...

  a) identifying the y-coordinates

  b) computing their difference.

__

Each ordered pair lists the y-coordinate second.

  (0, 3)   ⇒   y-coordinate = 3

  (4, 0)   ⇒   y-coordinate = 0

The difference of the y-coordinates is ...

  3 -0 = 3

Step-by-step explanation:

this means the factors of the various terms of x and the constant.

a = 4

b = 1

c = 9

and yes, if there would be negative factors, the signs wold be part of a, b and c too.

overall, this is then used to solve the quadratic equation.

the general solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

Answer:

IQR = 9

Step-by-step explanation:

Q3 = 24

Q1 = 15

24-15=9

Give brainliest, please!

Hope this helps :)

Answer:

2nd option, (6x + 8)(x - 1) = 0

Step-by-step explanation:

Answer:

[tex](6x+8)(x-1)[/tex]

Step-by-step explanation:

We can separate the 2x into -6x + 8x. Then this will give us [tex]6x^2 - 6x + 8x - 8 = 0[/tex]. Now we can factor out a 6x and an 8 to give us [tex]6x(x-1) + 8(x-1) = (6x+8)(x-1)[/tex] by the distributive property.

Hope this helps! :)

Answer:

y=2.5, x=1.5

Step-by-step explanation:

y=1/2+2 ---(1)

y=x+1 ---(2)

y=1/2+2=2.5

Substitute y=2.5 into equation (2)

y=x+1

2.5=x+1

2.5-1=x

x=1.5

Answer:

sorry for being late but the answer is c 616 cm

Step-by-step explanation:

Answer: Undefined or Vertical Slope.

Answer:

Option 2

Step-by-step explanation:

Height of lemon tree = 8

Height of date tree = 8 x 3

On comparing, we understand that the date tree is 3 times as tall as the lemon tree.

Answer:

the answer is B or the second one

Step-by-step explanation:

8 x 3 = 24

the data tree is 3 times as tall as the lemon tree

we know that

The formula for combinations is

[tex]C=n!/[(n-r)!*r!][/tex]

where

[tex]n[/tex] is the total number of objects you choose from

[tex]r[/tex] is the number that you choose to arrange

in this problem

[tex]n=15[/tex] students

[tex]r=4[/tex] students

[tex]C=15!/[(15-4)!*4!][/tex] → [tex]C=15!/[11!*4!][/tex] → [tex](15*14*13*12*11!)/(11!*4*3*2*1)[/tex]

[tex]C=(15*14*13*12)/(24)[/tex] → [tex]C=1365[/tex]

the answer is

1,365