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oksano4ka [1.4K]

2 years ago

5

A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle. The python is 2.6π meters long.

What is the radius "r" of the circle that the python forms?

1 answer:

elena-s [515]2 years ago

4 0

The python is 2.6pi meters long. This is the circumference because it's the distance around the circle. So, C = 2.6pi

We will plug this into the formula below and isolate r

C = 2*pi*r
2.6pi = 2*pi*r
2.6 = 2*r .... divide both sides by pi
2.6/2 = 2r/2
1.3 = r
r = 1.3

Since r = 1.3, this means that the radius is 1.3 meters.

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What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth

uysha [10]

Answer:

The perimeter of the trapezoid is $38.25\ units$

Step-by-step explanation:

we know that

The perimeter of the trapezoid is the sum of its four side lengths

so

In this problem

$P=QR+RS+ST+QT$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$Q(8, 8), R(14, 16), S(20, 16),T(22, 8)$

step 1

Find the distance QR

$Q(8, 8), R(14, 16)$

substitute the values in the formula

$d=\sqrt{(16-8)^{2}+(14-8)^{2}}$

$d=\sqrt{(8)^{2}+(6)^{2}}$

$d=\sqrt{100}$

$QR=10\ units$

step 2

Find the distance RS

$R(14, 16), S(20, 16)$

substitute the values in the formula

$d=\sqrt{(16-16)^{2}+(20-14)^{2}}$

$d=\sqrt{(0)^{2}+(6)^{2}}$

$d=\sqrt{36}$

$RS=6\ units$

step 3

Find the distance ST

$S(20, 16),T(22, 8)$

substitute the values in the formula

$d=\sqrt{(8-16)^{2}+(22-20)^{2}}$

$d=\sqrt{(-8)^{2}+(2)^{2}}$

$d=\sqrt{68}$

$ST=8.25\ units$

step 4

Find the distance QT

$Q(8, 8),T(22, 8)$

substitute the values in the formula

$d=\sqrt{(8-8)^{2}+(22-8)^{2}}$

$d=\sqrt{(0)^{2}+(14)^{2}}$

$d=\sqrt{196}$

$QT=14\ units$

step 5

Find the perimeter

$P=10+6+8.25+14=38.25\ units$

6 0

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Answer:

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Step-by-step explanation:

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We know that a log b = log b^a

3 log(4) + log(7)

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We know that log a + log b = log (a*b)

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log (448)

3 0

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Answer:

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Answer:

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Step-by-step explanation:

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It should look like this:

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