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nata0808 [166]
2 years ago
11

Anya rolls an octahedron labelled A A A B C C C C what is the probability the octahedron will land on each letter

Mathematics
1 answer:
Bogdan [553]2 years ago
5 0

Answer:

the probability the octahedron will land on A is 3/8

the probability the octahedron will land on B is 1/8

the probability the octahedron will land on C is 4/8 or 1/2

Step by Step explanation:

All u have to do to figure this out is to first count the total amount of letters and in this case there are 8. To find the probability of a specific letter, you have to count how many of that letter there is in the total of 8. For example the letter A's probability is 3/8 since there are 3 A's and 8 letters in total.

hope this helps!!

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6. In right triangle ABC, mZC=3y-10,
lorasvet [3.4K]

Answer:

scalene

Step-by-step explanation:

step 1

Find the value of y

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

In this problem

m∠A+m∠B+m∠C=180°

substitute the given values

90\°+(y+40)\°+(3y-10)\°=180\°

Solve for y

4y+120=180

4y=180-120

4y=60

y=15

step 2

<em>Find the measure of angle B</em>

m∠B=(y+40)°

substitute the value of y

m∠B=(15+40)=55°

step 3

<em>Find the measure of angle C</em>

m∠C=(3y-10)°

substitute the value of y

m∠C=(3(15)-10)=35°

The three interior angles are different

so

The three sides of the ABC triangle will also be different

therefore

The right triangle ABC is scalene

6 0
2 years ago
$5 box of cereal; 40% discount. any kind of ceral.
vovangra [49]

Answer:

3

Step-by-step explanation:

4 0
2 years ago
Help me pls.........!
erica [24]
If each square represents a square foot half of it would be .5 so then add all of them. The formula for Area is A=l•w and the Area formula for a triangle is A=hbb/2. Hope this helps :)
7 0
2 years ago
How do you turn<br> 584.56714755 into a radical answer and what would it be
Llana [10]

Answer

584.56714755 = 146

Step-by-step explanation:

584.567 is 4 times 146 ...

...and 4 can be written as 2 to the power 2.

So, the 4 can just be pulled outside of the radical sign, as a 2 ,

and the other factor, the 146 , just stays inside of the radical sign.

8 0
3 years ago
Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC . FIRST CORRECT ANSWER GETS POINTS AND BRAINLIEST!!!! T
Ad libitum [116K]

Answer:

Given : In △ABC, m∠A=60°, m∠C=45°,and AB=8 unit

Firstly, find the angles B

Sum of measures of the three angles of any triangle equal to the straight angle, and also expressed as 180 degree

∴m∠A+ m∠B+m∠C=180                      ......[1]

Substitute the values of m∠A=60° and m∠C=45° in [1]

60^{\circ}+ m\angle B+45^{\circ}=180^{\circ}

105^{\circ}+ m\angle B=180^{\circ}

Simplify:

m\angle B=75^{\circ}

Now, find the sides of BC

For this, we can use law of sines,

Law of sine rule is an equation relating the lengths of the sides of a triangle  to the sines of its angles.

\frac{\sin A}{BC} = \frac{\sin C}{AB}

Substitute the values of ∠A=60°, ∠C=45°,and AB=8 unit to find BC.

\frac{\sin 60^{\circ}}{BC} =\frac{\sin 45^{\circ}}{8}

then,

BC = 8 \cdot \frac{\sin 60^{\circ}}{\sin 45^{\circ}}

BC=8 \cdot \frac{0.866025405}{0.707106781} =9.798 unit

Similarly for  AC:

\frac{\sin B}{AC} = \frac{\sin C}{AB}

Substitute the values of ∠B=75°, ∠C=45°,and AB=8 unit to find AC.

\frac{\sin 75^{\circ}}{AC} =\frac{\sin 45^{\circ}}{8}

then,

AC = 8 \cdot \frac{\sin 75^{\circ}}{\sin 45^{\circ}}

AC=8 \cdot \frac{0.96592582628}{0.707106781} =10.9283 unit

To find the perimeter of triangle ABC;

Perimeter = Sum of the sides of a triangle

i,e

Perimeter of △ABC = AB+BC+AC = 8 +9.798+10.9283 = 28.726 unit.

To find the area(A) of triangle ABC ;

Use the formula:

A = \frac{1}{2} \times AB \times AC \times \sin A

Substitute the values in above formula to get area;

A=\frac{1}{2} \times 8 \times 10.9283 \times \sin 60^{\circ}

A = 4 \times 10.9283 \times 0.86602540378

Simplify:

Area of triangle ABC = 37.856 (approx) square unit





4 0
3 years ago
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