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3 years ago

How many triangles can be constructed with side lengths of 7.2 cm, 6.9 cm, and 12.8 cm?

Mathematics

1 answer:

Alika [10]3 years ago

5 0

Answer:

One triangle

Step-by-step explanation:

-The triangle's dimensions are defined and fixed.

-Given the fixed dimensions, only one unique triangle can be constructed.

-Hence, only one triangle of the dimensions 7.2cm, 6.9cm and 12.8 cm can be formed.

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A radio tower has a 64 ft Shadow cast by the sun. If the angle from the tip of the shadow to the top of the tower is 78.5°. what

Softa [21]

Step-by-step explanation:

right-angled triangle, and law of sine (for any type of triangles) :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the correlated angles are always opposite from each other.

and we know that the sum of all angles in a triangle is always 180°.

so, the angle at the foot of the radio tower is 90°.

the angle from the top of the shadow to the top of the tower is 78.5°.

so, the third angle (at the top of the tower) is

180 - 90 - 78.5 = 11.5°

and with the law of sine we get

height/sin(78.5) = 64/sin(11.5)

height = 64×sin(78.5)/sin(11.5) = 314.57005... ft

6 0

2 years ago

Based on probability and if it is appropriate for a decision to be left up to chance, choose every situation that is both statis

svet-max [94.6K]

The situations that are both statistically fair and morally fair are Situation 2, Situation 3 and Situation 5

<h3>How to categorize the situations?</h3>

For a situation to be fair, the probability of every outcome must be equal.

We can now analyze each option using the above highlight

Situation 1

Alphabets = 26
Probability of vowel = 5/26
Probability of consonant = 21/26

The probabilities of vowels and consonant are not equal.

Hence, this situation is not fair

Situation 2

People = 4

P(Each) = 1/4

The probability of each participant is equal in the above scenario i.e. 1/4

Hence, this situation is fair

Situation 3

People = 5
P(Each) = 1/5

The probability of each cousin is equal in the above scenario i.e. 1/5

Hence, this situation is fair

Situation 4

Numbers = 5 i.e. 2 to 6
P(Prime) = 3/5
P(Composite) = 4/6

The probabilities of prime and composite numbers are not equal.

Hence, this situation is not fair

Situation 5

Roommates = 5
Cards = 5
Aces = 4
P(Each) = 1/5

All probabilities are equal in the above scenario i.e. 1/5

Hence, this situation is fair

Read more about probability at:

brainly.com/question/251701

#SPJ1

4 0

2 years ago

Given the two expressions shown below:

Alchen [17]

A is irrational but b is rational. This is because for b you can work out both square root of 64 (8) and square root of 4 (2). But for a, the square root of 5 is an irrational number :)

5 0

3 years ago

A cone has a radius of 10 cm and and height of 9 cm. What is the approximate volume of the cone? Use 3.14 for π.

astraxan [27]

Answer:

The volume of the cone is $942cm^3$

Step-by-step explanation:

The given cone has a radius of 10 cm and and height of 9 cm.

The volume of a cone is given by:

$V=\frac{\pi r^2h}{3}$

We substitute r=10 and h=9 , $\pi=3.14$ to obtain:

$V=\frac{3.14*10^2*9}{3}$

Simplify exponents to get:

$V=\frac{3.14*100*9}{3}$

Simplify:

$V=314*3\\V=942cm^3$

Therefore the volume of the cone is $942cm^3$

8 0

3 years ago

Solve 3x square - 2 x + 7 x - 5

ale4655 [162]

Answer:

The correct ans is...

3 x square + 5 x - 5

Step-by-step explanation:

U can only subtract or add if u hv the same variable..

here -2x and 7x have the same variable...

so -2x + 7x = 5x

Therefore the ans is....

3 x square + 5 x - 5

Hope this helps....

Have a GOOD DAY !!!!

Pls mark my ans as brainliest

If u mark my ans as brainliest u will get 3 extra points

Sry to say....

U really need to read ur Math TBK

7 0

3 years ago

Read 2 more answers