All categories

3 years ago

Given: Circle A externally tangent to Circle B.

Mathematics

2 answers:

Zolol [24]3 years ago

7 0

<h2>Answer:</h2>

B. 3

<h2>Step-by-step explanation:</h2>

A tangent is a line that passes through exactly one point on a circle. For any point on a circle, the radius and tangent line through that point are always perpendicular to each other making a right angle. If two triangles touch each other externally, then there will be 3 lines making right angle with radius of the circles at the point of intersection of circle and tangents. These three tangent lines are shown below. They are the black, blue and green ones.

emmasim [6.3K]3 years ago

5 0

Answer:

B. 3

Step-by-step explanation:

We have been given an image two circles such as circle A externally tangent to circle B. We are asked to find the number of possible common tangents to circles A and B.

We know that tangent of a circle is a line that touches circle exactly at one place.

We can see both triangles touch each other externally. We know that maximum 3 common tangents can be drawn two two circles, when they touch each other externally.

Therefore, the answer of our given problem is 3 and option B is the correct choice.

You might be interested in

100 points!

GenaCL600 [577]

Answer: If i was living there usually , The climate in Ancient Greece generally has hot summers and mild winters. Because it can get so hot, most people wore lightweight clothing throughout most of the year. They would put on a cloak or wrap during the colder days of the winter months. The environment would make a HUGE impact on the Greeks by teaching them how to collect food and survive in a harsh environment. Therefore, I would have to adapt to adapt to their environment efficiently. The environment also affected them because they had to learn to fish instead of hunt on

Step-by-step explanation: This is how I would do it.

6 0

3 years ago

Para recortar algumas figuras geométricas, um aluno utilizou uma cartolina com 1mx0,8m. Sabendo que ele recortou 2 triângulos, a

Gnom [1K]

Answer:

7190 cm²

Step-by-step explanation:

Para recortar algumas figuras geométricas, um aluno utilizou uma cartolina de 1 m x 0,8m.

Passo 1

Determine a área de todo o papelão

= Temos dimensões = 1mx0,8m

Área = Comprimento × Largura

= 0,8m²

Nós convertemos para cm²

1 m² = 10.000 cm²

0,8m² = x cm²

Multiplicação cruzada

0,8m² × 10.000 cm² / 1 m²

= 8000 cm²

Passo 2

Sabendo que recortou 2 triângulos, ambos com 20cm de base e 30cm de altura

Encontramos a área de um triângulo

= 1/2 × base × altura

= 1/2 × 20 × 30

= 300cm²

Ele cortou 2 triângulos Portanto, o são dos dois triângulos = 300cm² × 2

= 600cm²

etapa 3

Ele também cortou 2 trapézios ambos com bases de 10cm e 20cm e altura de 7cm.

A área de um trapézio =

1/2 (a + b) h

= 1/2 (10cm + 20cm) × 7cm

= 1/2 × 30 × 7

= 105 cm²

Ele cortou dois trapézios, portanto

A área dos dois trapézios do corte = 105cm² × 2

= 210 cm²

Passo 4

A área total do papelão que foi cortado = 600cm² + 210cm²

= 810 cm²

Etapa 5

Determine em cm² quanto de papelão sobrou.

Isso é calculado como:

Área total do papelão - Área total que foi cortada

= 8000 cm² - 810 cm²

= 7190 cm²

5 0

3 years ago

Please help asap !!!!!! what vaule of x makes the equation true 3(x-4)=15

DaniilM [7]

3(x-4) = 15

Distribute the 3:

3x-12 = 15

Add 12 to both sides:

3x = 27

Divide both sides by 3:

X = 9

The answer is D. 9

5 0

2 years ago

Danielle worked three days last week for a total of 18.25 hours. She worked 6.5 hours on Monday and 5.75 hours on Wednesday. How

svet-max [94.6K]

Answer:

She worked for 6 hours on Saturday.

Step-by-step explanation:

Number of hours worked by Danielle last week = 18.25 hours

She worked for three days, Monday, Wednesday and Saturday.

Let she worked on Saturday = x hours

Therefore, total hours worked by Danielle in three days = 6.5 + 5.75 + x

And the equation will be,

6.5 + 5.75 + x = 18.25

12.25 + x = 18.25

x = 18.25 - 12.25

x = 6

Therefore, she worked for 6 hours on Saturday.

7 0

3 years ago

Write down in terms of N and expression for the nth term of the following sequence 25 20 15 10 5

GREYUIT [131]

Answer:

30x-5

Step-by-step explanation:

25-5=20

20-5=15

-5 -10 -15 -20 -25

25 20 15 10 5

I hope that helped you

8 0

2 years ago