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3 years ago

What is the probability of rolling a 10 out a 12 sided die

1 answer:

5 0

1/12

There is 1 side of the die that has a ten on it and 12 sides in total. Therefore, there is a 1/12 chance of rolling a ten on this die.

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Prove :<br>sin²θ + cos²θ = 1<br><br><br>thankyou ~

Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

$\sf\longrightarrow sin^2\theta + cos^2\theta = 1$

Imagine a right angled triangle with one of its acute angle as $\theta$ .

The side opposite to this angle will be perpendicular .
Also we know that ,

$\sf\longrightarrow sin\theta =\dfrac{p}{h} \\$

$\sf\longrightarrow cos\theta =\dfrac{b}{h}$

And by Pythagoras theorem ,

$\sf\longrightarrow h^2 = p^2+b^2 \dots (i)$

Where the symbols have their usual meaning.

Now , taking LHS ,

$\sf\longrightarrow sin^2\theta +cos^2\theta$

Substituting the respective values,

$\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\$

$\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\$

$\sf\longrightarrow \dfrac{p^2+b^2}{h^2}$

From equation (i) ,

$\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\$

$\sf\longrightarrow \bf 1 = RHS$

Since LHS = RHS ,

Hence Proved !

I hope this helps.

5 0

2 years ago

Log (x+2) base 5- log (x) = log (2x-1) base 5 - log (3x-12) base 5

Vlad [161]

Answer:

x ≅ 5.44864209

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

3 0

3 years ago

Angle 4=x+30 and angle 2=2x+15. Find the measure of angle 4

kvasek [131]

9514 1404 393

Answer:

∠4 = 45°

Step-by-step explanation:

Angles 1, 2, and 4 are all congruent.

∠4 = ∠2

x +30 = 2x +15

15 = x . . . . . . . . . . . . . subtract x+15

x + 30 = 45 = ∠4

6 0

3 years ago

the area of a rectangular flower bed is 6.5sq.feet. the width of the flower bed is 0.75 feet. what is the length of the flower?

RSB [31]

width= w

length = l=w+5

Area = l * w

104 =(w+5) * w

w2 +5w -104 =0

(w+13)(w-8)=0

w=13 and w=8

so width =8

length=13

5 0

3 years ago

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you are at the store buying milk and eggs and you want to know if you have enough money to pay for them should you estimate or e

scoundrel [369]

Answer:

Estimate on the higher side

Step-by-step explanation:

Round up, not down, because A, you might miss a number, or B, you forget taxes.

-hope it helps

5 0

2 years ago

Read 2 more answers