All categories

3 years ago

What is the value of 8P4?

1 answer:

3 0

8P4 is a permutation;

P(n,r) ; nPr = n!/(n-r)!

8P4 = 8!/(8-4)! = 40,320 / 4! = 40,320 / 24 = 1,680

The value of 8P4 is 1,680

You might be interested in

Can someone help me with this math homework please!

nadezda [96]

Answer:

250 + 200h = 300 + 180h

200h – 180h = 300 – 250

20h = 50

H = 2.5 credit hours

Step-by-step explanation: Hope this helps and good luck :))

8 0

2 years ago

The box which measures 70cm X 36cm X 12cm is to be covered by a canvas. How many meters of canvas of width 80cm would be require

grigory [225]

Answer:

142.2 meters.

Step-by-step explanation:

We have been given that a box measures 70 cm X 36 cm X 12 cm is to be covered by a canvas.

Let us find total surface area of box using surface area formula of cuboid.

$\text{Total surface area of cuboid}=2(lb+bh+hl)$ , where,

$l$ = Length of cuboid,

$b$ = Breadth of cuboid,

$w$ = Width of cuboid.

$\text{Total surface area of box}=2(70\cdot36+36\cdot 12+12\cdot 70)$

$\text{Total surface area of box}=2(2520+432+840)$

$\text{Total surface area of box}=2(3792)$

$\text{Total surface area of box}=7584$

Therefore, the total surface area of box will be 7584 square cm.

To find the length of canvas that will cover 150 boxes, we will divide total surface area of 150 such boxes by width of canvass as total surface area of canvas will also be the same.

$\text{Width of canvas* Length of canvass}=\text{Total surface area of 150 boxes}$

$80\text{ cm}\times\text{ Length of canvass}=150\times 7584\text{cm}^2$

$\text{ Length of canvass}=\frac{150\times 7584\text{ cm}^2}{80\text{ cm}}$

$\text{ Length of canvass}=\frac{1137600\text{ cm}^2}{80\text{ cm}}$

$\text{ Length of canvass}=14220\text{ cm}$

Let us convert the length of canvas into meters by dividing 14220 by 100 as 1 meter equals to 100 cm.

$\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}$

$\text{ Length of canvass}=\frac{14220\text{ cm}}{100}\times\frac{m}{cm}$

$\text{ Length of canvass}=142.20\text{ m}$

Therefore, 142.2 meters of canvas of width 80 cm required to cover 150 such boxes.

5 0

3 years ago

I just don't know where to start. I'm doing Algebra 2 stuff with sohcahtoa.

mezya [45]

Hello!

As you can see, 22 is the opposite angle. We are looking for the adjacent angle. Let's just call it x. Using SOH CAH TOA, we see that the tangent is the opposite divided by the adjacent side. Let's use that.

tan54≈1.38

This gives us the equation below.

1.38=22/x

Let's solve this equation for x.

1.38x=22

x=22/1.38

x=15.94

Therefore, the length of the shadow is about 15.94 meters.

I hope this helps!

7 0

3 years ago

Read 2 more answers

WILL MARK BRAINLIST

Elanso [62]

Answer:

slope= 10/9

y intercept= -11/9

Step-by-step explanation:

9y= 10x -11

y= 10/9x -11/9

slope= 10/9

y intercept= -11/9

4 0

2 years ago

HELP PLS!!! find x and y please show steps

loris [4]

Answer:

Step-by-step explanation:

The sum of measures of angles in triangle is 180°

so:

180° - 90° - 45° = 45°

two angles angles of the same measure, that means: x = 7

so:

$7^2+7^2=y^2\\\\y^2=7^2\cdot2\\\\y=\sqrt{7^2\cdot2}\\\\\bold{y=7\sqrt2}$

4 0

2 years ago