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3 years ago

Two fair six sided dice are thrown. Find the probability that both dice land on 6

Mathematics

1 answer:

-BARSIC- [3]3 years ago

3 0

Two dice ⇒ 6*6=36 possible results
Both dice land on 6 ⇒ 1 possibility

P=1/36

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Find the volume of a square based pyramid like you see below if the side of the base is 10 inches and the height of the the tria

Mekhanik [1.2K]

Answer:

The volume of a square based pyramid is 645.3 cubic inches.

Step-by-step explanation:

Given:

The side of the base is 10 inches and the height of the the triangular face is 20 inches.

Now, to find the volume of square based pyramid.

Base side (a) = 10 inches.

Slant Height (s) = 20 inches.

Now, to get the height of pyramid by using pythagorean theorem:

Leg 1 = $\frac{base}{2}=\frac{10}{2}=5\ inches.$

Hypotenuse = 20 inches.

So,

Hypotenuse² = (leg 1)² + (leg 2)²

$20^2=5^2+leg2^2\\400=25+leg2^2\\Subtracting\ both\ sides\ by\ 25 \ we\ get:\\375=leg2^2$

Using square root on both sides we get:

$19.36=leg2$

leg 2 = 19.36 inches.

Thus, the height of pyramid = 19.36 inches.

Now, to get the volume of square pyramid we put formula:

h = 19.36 inches.

a = 10 inches.

$Volume=a^2\frac{h}{3}$

$Volume=10^2\times \frac{19.36}{3}$

$Volume=100\times 6.453$

$Volume=645.3\ cubic\ inches.$

Hence, the volume to the nearest tenth is 645.3 cubic inches.

Therefore, the volume of a square based pyramid is 645.3 cubic inches.

3 0

3 years ago

54:63 in simplest form

Bas_tet [7]

Answer:

I think it is 6/7

Step-by-step explanation:

I am really bad at explaining but I'm not completely sure

4 0

3 years ago

Read 2 more answers

I NEED HELP ASAP PLEASE!

dusya [7]

Answer:

The length of AC = 4 and the length of A'C' = 1 so the scale factor is 1/4.

8 0

3 years ago

In Ryan coorporation the first shift produced 5 1/2 times as many lightbulbs as the second shift. if the total lightul.bs produc

dimaraw [331]

Answer:

first shift: 13,750 bulbs
second shift: 2500 bulbs

Step-by-step explanation:

The production ratio is ...

shift 1 : shift 2 = 5.5 : 1 = 11 : 2

so, the production on shift 1 as a ratio to the total is ...

shift 1 : total = 11 : (11+2) = 11 : 13

The first shift produced ...

(11/13)(16,250 bulbs) = 13,750 bulbs . . . . first shift

and the second shift produced ...

(2/13)(16,250 bulbs) = 2,500 bulbs . . . . second shift

_____

Of course, once you have one of the numbers, you can also find the other by using the 5.5 factor or by subtracting from total production.

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4 years ago

Simplify each radical expression

nlexa [21]

31.
$5 \sqrt{6} - 3 \sqrt{6} = 2 \sqrt{6}$
32.
$\sqrt{2} ( \sqrt{8} + \sqrt{6} ) \\ \sqrt{16} + \sqrt{12} \\ 4 + 2 \sqrt{3}$
33.
$(3 \sqrt{2} - 2 \sqrt{5} )(4 \sqrt{2} + 2 \sqrt{5} ) \\ 12 \sqrt{4} + 6 \sqrt{10} - 8 \sqrt{10} - 4 \sqrt{25} \\ 24 - 2 \sqrt{10} - 20 \\ 4 - 2 \sqrt{10}$
pls mark me as brainliest

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3 years ago