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3 years ago

What is the radius and diameter of the following circle?

Mathematics

1 answer:

belka [17]3 years ago

6 0

Answer:

Radius = 5.1

Diameter = 10.2

Step-by-step explanation:

Radius is a straight line that connects the center of a circle to a point on the circumference (outside of the circle).

Diameter is a straight line that goes through the center of a circle and connects two points on the circumference (outside of the circle).

The line shown goes from the center to the outside of the circle, so it is the radius

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What is the length of BC , rounded to the nearest tenth?

Arte-miy333 [17]

Step $1$

In the right triangle ADB

Find the length of the segment AB

Applying the Pythagorean Theorem

$AB^{2} =AD^{2}+BD^{2}$

we have

$AD=5\ units\\BD=12\ units$

substitute the values

$AB^{2}=5^{2}+12^{2}$

$AB^{2}=169$

$AB=13\ units$

Step $2$

In the right triangle ADB

Find the cosine of the angle BAD

we know that

$cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}$

Step $3$

In the right triangle ABC

Find the length of the segment AC

we know that

$cos(BAC)=cos (BAD)=\frac{5}{13}$

$cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{13}{AC}$

solve for AC

$AC=(13*13)/5=33.8\ units$

Step $4$

Find the length of the segment DC

we know that

$DC=AC-AD$

we have

$AC=33.8\ units$

$AD=5\ units$

substitute the values

$DC=33.8\ units-5\ units$

$DC=28.8\ units$

Step $5$

Find the length of the segment BC

In the right triangle BDC

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

we have

$BD=12\ units\\DC=28.8\ units$

substitute the values

$BC^{2}=12^{2}+28.8^{2}$

$BC^{2}=973.44$

$BC=31.2\ units$

therefore

the answer is

$BC=31.2\ units$

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3 years ago

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satela [25.4K]

Answer:

poopy

Step-by-step explanation:

Tee Hee

7 0

2 years ago

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Solve 36x^2-22x=14x-9

frutty [35]

x=1/2

i hate the minimum word count

no one comes on here to learn how to do it, we come on here to get answers

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3 years ago

Simplify 0.95x-9-1/2x(36-18y)-0.25(-3x+4.8)

iris [78.8K]

Answer: 9xy−16.3x−10.2

Step-by-step explanation:

Distribute:

=0.95x+−9+9xy+−18x+(−0.25)(−3x)+(−0.25)(4.8)

=0.95x+−9+9xy+−18x+0.75x+−1.2

Combine Like Terms:

=0.95x+−9+9xy+−18x+0.75x+−1.2

=(9xy)+(0.95x+−18x+0.75x)+(−9+−1.2)

=9xy+−16.3x+−10.2

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3 years ago

32/20 fully reduced in prime numbers

Andreas93 [3]

Answer:

8/5

Step-by-step explanation:

EL NUMERADOR Y EL DENONINADOR SE DIVIDEN AL MISMO TIEMPO

ENTRE LOS NÚMEROS PRIMOS EN ORDEN HASTA QUE YA NO PUEDAN

DIVIDIRSE.

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3 years ago