A cylinder has a diameter of 6cm and a height of 3 cm what is the surface area of the cylinder?

Work out the angle of x

Amiraneli [1.4K]

Answer:

a)

Cos60=1/2=0.5

b)

cos60=4/x

0.5=4/x

0.5x=4

0.5x/0.5=4/0.5

x=8

3 0

3 years ago

If r = .89, the line of best fit has ______________ correlation. *

Lesechka [4]

Answer: moderate positive correlation

Step-by-step explanation: If your correlation coefficient is positive, that means that your slope which is how steep the line is or your line of best fit must also be positive.

Remember that the correlation coefficient is just a number that indicates the direction and closeness of points of a line of best fit.

If it has a correlation coefficient of 0.89, the points would be close together but not very very close.

3 0

3 years ago

Complete the following.

Gnom [1K]

Answer:

Step-by-step explanation:

1) From the given right angle triangle,

22 represents the hypotenuse of the right angle triangle.

With m∠21 as the reference angle,

x represents the opposite side of the right angle triangle.

To determine x, we would apply

the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin 21 = x/22

x = 22 Sin 21 = 22 × 0.3584

x = 7.9

2) From the given right angle triangle,

RS represents the hypotenuse of the right angle triangle.

With m∠S as the reference angle,

x represents the adjacent side of the right angle triangle.

To determine x, we would apply

the Cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 33 = x/15

x = 15 Cos 33 = 15 × 0.8387

x = 12.6

3) From the given right angle triangle,

AB represents the hypotenuse of the right angle triangle.

With m∠A as the reference angle,

x represents the adjacent side of the right angle triangle.

y represents the opposite side of the right angle triangle.

To determine x, we would apply

the Cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 32 = x/10

x = 10 Cos 32 = 10 × 0.848

x = 8.5

To determine y, we would apply

the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin 32 = y/10

y = 10 Sin 32 = 10 × 0.5299

y = 0.53

5 0

3 years ago

Two right triangles are shown. First, find the missing leg of the triangle on the right. Then you have two lengths to use to fin

jasenka [17]

Answer:

x = 30m

Step-by-step explanation:

GIVEN :-

There are 2 right-angled triangles.

In the triangle on the right side ,

Hypotenuse = 26m
Base = 10m

In the triangle on the left side ,

Base = 18m

TO FIND :-

Length of the common perpendicular to both triangles.
Length of the hypotenuse of the triangle on the left side.

FACTS TO KNOW BEFORE SOLVING :-

$Hypotenuse = \sqrt{Base^2 + Perpendicular^2}$ .
$Perpendicular = \sqrt{Hypotenuse^2 - Base^2}$

SOLUTION :-

In the triangle on the right side ,

$Perpendicular = \sqrt{26^2 - 10^2} = \sqrt{676 - 100} = \sqrt{576} = 24m$

⇒ Perpendicular of the triangle on right side = Perpendicular of the triangle on left side.

In the triangle on the left side ,

$Hypotenuse = \sqrt{24^2 + 18^2} = \sqrt{576 + 324} = \sqrt{900} = 30m$

∴ x = 30m

3 0

3 years ago

Select the reason that best supports statement 5 in the given proof

Murljashka [212]

Answer:

Step-by-step explanation:

8 0

3 years ago