Carla saw a license plate

Mathematics

1 answer:

vladimir1956 [14]2 years ago

4 0

Answer:

Step-by-step explanation:

Comment

Since you make no other restrictions, the numbers can have duplicates.

9 + 9 + 2 is one possibility.

9 + 7 + 4 is another

9 + 8 + 3

and another 33 possibilities. Surely you are not expected to list them all. Three should be enough.

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If A= (6,11), B= (1,5), and C= (7,0), show by means of slopes that ABC is a right triangle. Name the hypotenuse.

nexus9112 [7]

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

<h3>Right angled triangle</h3>

A right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.

For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.

Find the slopes of AB, BC and AC

Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5

Slope of BC = 0-5/7-1
Slope of BC = -5/6

Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11

Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

Learn more on right angle triangle here: brainly.com/question/22790996

#SPJ1

6 0

2 years ago

Do alto de um farol cuja altura é de 20 m avista se um navio sob ângulo de depressão de 30°. A que distância , aproximadamente,

Mkey [24]

Esta é a trigonometria . Se você desenhar uma linha a partir do topo da casa de luz para o barco, você terá a hypotonuse de um triângulo. Um truque é lembrar que este é um triângulo especial. É um triângulo 30-60-90 , que tem propriedades especiais mostradas na fixação abaixo . por isso sabemos que o lado adjacente que não é o hyposonuse é x√3 . Agora sabemos que x√3 = 20
Solve for x.
x√3=20
divide both sides by √3.
x=20/(√3)
Try not to have square roots (√) in denomenator so multiply top and bottom by √3 and get
x=(20√3)/3
x is what we are looking for so the answer is 
20√3 m ou cerca de 34.64 m