The radius is 6 and the height is 15 what is the volume in terms of pi

Can someone help me pleaseee

Bumek [7]

Answer:

x ≈ 26.4

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos47° = $\frac{adjacent}{hypotenuse}$ = $\frac{CD}{AD}$ = $\frac{18}{x}$ ( multiply both sides by x )

x × cos47° = 18 ( divide both sides by cos47° )

x = $\frac{18}{cos47}$ ≈ 26.4 ( to the nearest tenth )

5 0

2 years ago

Read 2 more answers

Which sign makes the statement true? 8.9 8 68100

Lyrx [107]

Well i would say it would be 8.9

3 0

3 years ago

Your friend claims that if you dilate a rectangle by a scale factor of three, then the area of your new rectangle

Ber [7]

Answer:

No, the area of the dilated triangle will increase by a factor of 9

Step-by-step explanation:

When the scale factor by which the dimensions is dilated = 3, we have;

The original length of base = b

The base length of the dilated triangle = 3×b

The original height of the the triangle = h

The height of the dilated triangle = 3×h

The original area of the triangle = 1/2 × base × height = 1/2×b×h

The area of the dilated triangle = 1/2 × base of dilated triangle × height of dilated triangle

∴ The area of the dilated triangle = 1/2× 3 × b × 3× h = 9×1/2× b×h

Which gives;

The area of the dilated triangle = 3²×1/2× b×h= (Scale factor)²× The original area of the triangle.

From 3² = 9, we have;

The area of the dilated triangle = 9 × The original area of the triangle.

Therefore;

The area of the dilated triangle will increase by a factor of 9.

4 0

3 years ago

Help please!!!!!!!!!!!!!

svp [43]

Answer:

30 is the perimeter i think 2 x 5 = 10 + 2 x 4.5 = 10 x 2 = 20 so 20 + 10 = 30

I think the area is 45, 5 x 4.5 = 22.5 and 2 x 22.5 = 45

Wait for more responses if needed please.

4 0

3 years ago

ANSWER ASAP TODAY FOR BRAINLIEST.

ivann1987 [24]

Answer:

Consistent independent

Consistent dependent

Inconsistent

Step-by-step explanation:

Consistent and Inconsistent Linear Systems

A system of equations is consistent if it has at least one solution. If the solution is unique, then the system is consistent independent, otherwise is consistent dependent, i.e., it has an infinite number of solutions.

When there is no solution for the system, the lines of each equation are parallel but not coincident. A consistent dependent has two non-parallel lines, and a consistent independent system has only one line, i.e. the same line represents both equations.

Two lines are parallel if they have the same slope. To find the slopes, we represent the equations in slope-intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

Consider the system:

4x + y = 8

x + 3y = 8

Rearranging both equations:

y = -4x + 8

y = -1/3 x + 8

The slopes of the lines are -4 and -1/3 respectively, since they are different, the system is consistent independent.

Consider the system:

-4x + 6y = -2

2x - 3y = 1

Rearranging both equations:

y = 4/6 x - 2/6 = 2/3 x - 1/3

y = 2/3 x - 1/3

Both equations are exactly the same, thus the system is consistent dependent.

Consider the system:

5x - 2y = 4

5x - 2y = 6

Rearranging both equations:

y = 5/2 x - 2

y = 5/2 x - 3

These lines are parallel but not coincident. Thus this system is inconsistent.

5 0

2 years ago