An elevator goes up in a multi storey building at the rate of 6 m/min. If it starts from 20 m below the ground level, how long will it take to reach 320 m ? ​

Check the picture below.

[tex]\cos(28^o)=\cfrac{h}{5}\implies 5\cos(28^o)=h \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=6\\ h=5\cos(28^o) \end{cases}\implies A=6[5\cos(28^o)]\implies A\approx 26.49[/tex]

Make sure your calculator is in Degree mode.

Answer:

V =704 m^3

Step-by-step explanation:

Remark

The Volume of a cubical Prism = Length * Width * Height of L * w * h

Givens

L = 22 meters

w = 4  meters

h = 8 meters

Solution

V = L * w * h

V = 22 * 4 * 8

V = 704 m^3

What is the volume, in cubic meters, of a rectangular prism that has a length of 22 meters, a width of 4 meters, and a height of 8 meters?

In this question we are provided with the length, breadth and height of a rectangular prism. We are asked to calculate the volume of the rectangular prism.

We know,

[tex] \star \: \small\boxed{ \rm{ Volume_{(rectangular \: prism)} = L×B×H}}[/tex]

Where,

Substituting the values we get

[tex] \small\sf{ Volume_{(rectangular \: prism)} = 22×4×8 = 704 m³}[/tex]

Hence, the volume of the rectangular prism is 704 m³.

Answer:

vertex = (0, -4)

equation of the parabola:  [tex]y=3x^2-4[/tex]

Step-by-step explanation:

Given:

Vertex form of a parabola:  [tex]y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex and [tex]a[/tex] is some constant)

Substitute point (0, -4) into the equation:

[tex]\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}[/tex]

Substitute point (-2, 8) and [tex]ah^2+k=-4[/tex] into the equation:

[tex]\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}[/tex]

Substitute point (1, -1) and [tex]ah^2+k=-4[/tex] into the equation:

[tex]\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}[/tex]

Equate to find h:

[tex]\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}[/tex]

Substitute found value of h into one of the equations to find a:

[tex]\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}[/tex]

Substitute found values of h and a to find k:

[tex]\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]\implies y=3(x-0)^2-4=3x^2-4[/tex]

So the vertex of the parabola is (0, -4)

It can be solved through some shortcut tricks of parabola

It passes through (-2,8) and (1,-1)

The minimum equation of the parabola (as it's quadratic) for vertex at (0,0)

whatever our required parabola be it's translated from the above one

So

Let a be 0

So it has vertex as well as y inetrcept at (0,0)

For x=-2

For x=1

It wasn't negative but in translation it's negative so something is subtracted

Take a =2 and subtract (-2)² i.e 4 as it's minimal value of y=x² where x≠y

For

(-2,8)

No try a=3

Yes satisfied

Take (1,-1)

Verified

The required equation is

Answer:

20%

Step-by-step explanation:

8 -> pizzas

12 -> hamburgers

14 -> pastas

6 -> steaks

40 = 8 + 12 + 14 + 6 -> total dishes

so the probability become from actual cases on total cases

so (8 / 40)

8/40 = 1/5 = 20/100 = 20%

Answer:

Question 1: Option B

Question 2: Option A

Step-by-step explanation:

Question #1:

Options are:

10¹¹ = 100000000000

10¹⁴ = 100000000000000

10¹⁵ = 1000000000000000

10¹² = 1000000000000

The power that exceeds the given quantity would be:

10¹⁴ ⇒ There are more digits.

Question #2:

We have the following expression:

981 44/51 = 61*981+44/61 = 981.72

We have to 10³ = 1000
So, the correct option is 10³

Answer:

x=13

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (2*x+14)-((3*x+1))=0

1.1      Solve  :    -x+13 = 0

Subtract  13  from both sides of the equation :

                     -x = -13

Multiply both sides of the equation by (-1) :  x = 13

Answer:

c

Step-by-step explanation:

Work Shown:

Range = Max - Min

Range = Oldest - Youngest

Range = 35 - 6

Range = 29

The range of 29 is the gap between the youngest person and the oldest.

Answer:

240 cm

Step-by-step explanation:

18*12= 216

+

4*3*2= 24

216*24= 240

Check the picture below.

Answer:

f(n) = 20 + 24n

Step-by-step explanation:

In slope-intercept form, y = mx + b, where m is the slope and b is the y intercept, you need to input the values you are given. f(n) is your "y" here.

The tricky part here is finding "b". Well, at the start, the bamboo shoot is 20 inches tall, so if you think about it, the equation should start with 20, which will be your "b".

Finally, you must show how the bamboo shoot will grow taller by 24 inches each day. Days in this case will be "n", which is like "x" in the general slope-intercept equation, and 24 is your slope ("m"). This will be positive because the height is increasing.

y = 24x + 20 ⇒ f(n) = 20 + 24n

Answer:

Because it starts at 20, that will be your base number

We know it grows 24 in. per day, but we dont know how many, so then we use n

so 20 + 24n

Step-by-step explanation:

20 + 24n

Answer:

A

Step-by-step explanation:

In this example, Emily is adding 9 to both sides of the equation. Doing so keeps the equation equal since the operation was done to both sides, so this must be the addition property of equality.

Answer:

29.3

Step-by-step explanation:

its avarage just add everthink and : to 10

[tex]~~~~0.3x +0.2 = 5\\\\\implies 3x+2 = 50~~~~~~;[\text{Multiply both sides by 10}]\\\\\implies 3x = 50 -2\\\\\implies 3x = 48\\\\\implies x = \dfrac{48}3\\\\\implies x = 16[/tex]

Answer:

6j-2j-2j+8+9+6e+5

= 6j - 4j + 6e + 24

= 2j + 6e + 24

Answer:

D - 56

Step-by-step explanation:

Multiply the height, 4 inches, the length, 7 inches, and the width, 2 inches, to get 56.

Answer:

expand the equation

then make q the subject of the formal

Answer:

Decile

Step-by-step explanation:

Quartile only divides group into 4 => 25%, 50%, 75%, 100%

Decile divides group into 10 => 10%, 20%,..., 80%, 90%, 100%

Answer:

v=44

w=68

Step-by-step explanation:

in the diagram above K and I are equal therefore the angles are going to be the same that is why w = 68

for v

since we know two angles out of the three we will equate everything inside the triangle to 180° because that is the sum of angle on a triangle

v+68+68=180( sum of angle in a triangle)

v+136=180

subtract 136 from both sides

v= 44

Answer:

Whenever finding a rule, figure out what x+1 relates to in terms of y (aka the slope). Also, figure out the y-intercept (0,y)

Example:

x+1 = y+2.

Slope: 2 ÷ 1 = 2.

The y-intercept is (0,9)

This would make the rule y=2x+9

Answer:

1. y=x 2. y=x-2 3. y=2x+10 4. y=5x 5. y= x+21

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

f(x) = 1/2x^2 + 4x

Convert to vertex form:

f(x) = 1/2(x^2 + 8x)

= 1/2 [(x + 4)^2 - 16]

= 1/2(x + 4)^2 - 8    <------ Vertex form.

So the Vertex is at (-4, - 8).

Axis of symmetry is x = -4.

y -intercept (when x = 0) =  8-8 = 0.

Answer:

see explanation

Step-by-step explanation:

given a quadratic function in standard form

f(x) = ax² + bx + c ( a ≠ 0 ) , then

the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = [tex]\frac{1}{2}[/tex] x² + 4x ← is in standard form

with a = [tex]\frac{1}{2}[/tex] , b = 4 , c = 0 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{4}{1}[/tex] = - 4

substitute x = - 4 into f(x) for corresponding y- coordinate of vertex

f(- 4) = [tex]\frac{1}{2}[/tex] (- 4)² + 4(- 4) = [tex]\frac{1}{2}[/tex] × 16 - 16 = 8 - 16 = - 8

vertex = (- 4, - 8 )

the equation of the axis of symmetry is a vertical line passing through the vertex with equation

x = c ( c is the x- coordinate of the vertex ) , then equation of axis of symmetry is

x = - 4

to find the y- intercept substitute x = 0 into f(x)

f(0) = [tex]\frac{1}{2}[/tex] (0)² + 4(0) = 0 + 0 = 0

then y- intercept is 0

Answer:

1/9

Step-by-step explanation:

1/3 x 1/3 = 1/9

Answer:

x+5>11

x>11-5

x>6

So it should be equal to or bigger than 6

Solve for x first

x + 5 = 11

-5

x = 6

So, x is greater or equal to 6 and the symbol next to box is the right one to use.

There should be a shaded in circle at 6, pointing to the right.

( the length of the arrow doesn't matter, you could even extend it to 7, 8, 9 or 10)

Hope this helps!

Answer:

jews

Step-by-step explanation:

Answer:

Christians.

Step-by-step explanation:

Answer:

x=55 degrees

Step-by-step explanation:

Because triangle is 180 degrees,

35+90+y=180

y=55

Answer:

x = 55 degrees

Step-by-step explanation:

The angles in a triangle add up to 180 degrees. We are already given 2/3 of the angles that make up the triangle.

The two given angles are 35 degrees and 90 degrees (we got the ninty from the right angle)

We can add these given angles together and subtract them by 180 to find the measure of the missing angle:

35 + 90 = 125

180 - 125 = 55 degrees

Answer:

The answer is a angle indicated to this answer

if is right mark me the brainliest if not don't worry please