Given the following cone, find the length of the slant. Round to the nearest tenth if necessary.

Answer:

r=0.05m+24.95

Step-by-step explanation:

5 cents represents the money per mile. The number of miles driven changes, therefore changing the amount of the equation as a whole. The 24.95 is not changing, so it is just added on in the expression.

Answer:

b= 58°

Step-by-step explanation:

32° +b +90°= 180° (adj. ∠s on a str. line)

b +122°= 180°

b= 180° -122°

b= 58°

What is adj. ∠s on a str. line?

Where did the 90° come from?

Answer:

-3.21 - x = 0

-x - 3.21 = 0

x = 3.21

The area of the considered equilateral triangle is given by: Option D: [tex]24.2 \: \rm cm^2[/tex]

For a regular polygon (a polygon with all sides of same measure), the line segment drawn from the center of the polygon to the mid point of a side of the polygon is called apothem.

Referring to the attached figure below, for the considered case,  we're given that:

Since all sides of an equilateral triangle are same, let they be of 'x'  cm length for this case, then:

[tex]Perimeter = x + x + x = 22.45\\\\x = \dfrac{22.45}{3} \approx 7.48 \: \rm cm[/tex]

Since the equilateral triangle has all same sides, all three triangles AOC, AOB, and BOC are congruent and have same area.

The area of ABC = Area of AOC + Area of AOB + Area of BOC = 3 × Area of AOC

The area of AOC = half of base times height. The height is length of the apothem since because of symmetry in right and left of the apothem, it is standing with equal angle on both sides of AC, thus, half of straight line angle, therefore of 180/2 = 90 degrees, thus, perpendicular.

Area AOC =  [tex]\dfrac{1}{2} \times |AC| \times |OD| \approx \dfrac{1}{2}{ \times 7.48 \times 2.16 \approx 8.078\rm \: cm^2[/tex]

Thus, area of ABC = 3 × Area of AOC = [tex]3 \times 8.078 \approx 24.2 \rm \: cm^2[/tex]

Thus, the area of the considered equilateral triangle is given by: Option D: [tex]24.2 \: \rm cm^2[/tex]

Learn more about apothem here:

https://brainly.com/question/10580427

Answer:

23

Step-by-step explanation:

trust me this is not the answer I got it wrong hope it helps a little

Answer:

x=7

y=-54

z=82

Step-by-step explanation:

Hello! Let me see if I can help you!

I can't see the picture very clearly, but since it is a parallelogram, there are two sides that are parallel. That means that the opposite angles are equal to each other.

102=(-2y-6)

Solve for y:

6+102=-2y

y is equal to -54

For x and z its different because there needs to be a second equation:

(10x+8)=(z-4) is not satisfactory because it has two variables in it. Thus, we need another equation.

(z-4)+102=180 (This we know because a straight line is 180 degrees, and the two angles added together are a straight line.)

Solve for z, 180-102=z-4, z is equal to 82.

Finally, using (10x+8)=(z-4) use the already solved value for z, and then solve for x. X is equal to 7 when you solve that way.

Again I can't see the entire thing, but this is how I would try. Hope it works!

Answer:

x=10

Step-by-step explanation:

Given x-15=-5

add both sides by 15

x-15+15=-5+15

x=10

Answer:

43 points

Step-by-step explanation:

(50 + 60 + x) / 3 = 51

(110 + x) / 3 = 51

110 + x = 153

x = 43

Answer:

384π cm³

Step-by-step explanation:

Formula for the volume of a cone is [tex]\displaystyle \large{\frac{1}{3}\pi r^2 h}[/tex] where:—

Our radius is given in an attachment which is 12 cm and height is 8 cm. Substitute these values in the formula:—

[tex]\displaystyle \large{V = \frac{1}{3}\pi (12)^2 \cdot 8}\\\displaystyle \large{V = \frac{1}{3}\pi \cdot 144 \cdot 8}\\\displaystyle \large{V = 48 \pi \cdot 8}\\\displaystyle \large{V = 384 \pi}[/tex]

__________________________________________________________

Summary

  Volume (Cone)

[tex]\displaystyle \large{V = \frac{1}{3}\pi r^2 h}[/tex] where:—

h is height or perpendicular.

r is radius.

  Value of Pi (Commonly Used)

[tex]\displaystyle \large{\pi \approx 3.14}[/tex]

__________________________________________________________

If you have any questions regarding this problem or need clarification for my answer or explanation, do not hesitate to ask in comment! Good luck on your assignment and have a great day!

Answer:

472.5 Miles

Step-by-step explanation:

1:15

10:150

20:300

30:450

.5:7.5

30x+1x+5x=450+15+7.5=472.5 miles

The number of senior, adults and children tickets sold are 22, 76 and 66 respectively.

The museum sells three types of tickets, including those for seniors, adults and children.

On Tuesday morning the  museum sold 164 tickets. Therefore,

Let

x = number of senior ticket sold.

The number of adult tickets sold was three times as many as senior tickets sold.

The number of child tickets sold was 10 more than the number of adult tickets sold. Therefore,

Total ticket sold = 3x + 10 + 3x + x

164 = 7x + 10

154 = 7x

x = 154 / 7

x = 22

Therefore,

number of senior ticket sold = 22

number of adult tickets sold = 3 (22) = 66

number of child tickets sold = 10 + 3(22) = 76

learn more on equations here: https://brainly.com/question/1242189

Answer:

No answer but give me answer

Answer:

10

Step-by-step explanation:

50*0.2 = 10

Step-by-step explanation:

20%×50

use p% =P

10

200× 50

100

1×5= 50

Answer= 10

Answer:

Step-by-step explanation:

Answer:

( If this is correct please mark me brainly ty (^^)

Answer:

0.16 pounds. I am pretty sure you just add up all the numbers. I hope this helps!

Step-by-step explanation:

Answer:

(x - 7)² = 9

Step-by-step explanation:

x² - 14x + 40 = 0 ( subtract 40 from both sides )

x² - 14x = - 40

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 7)x + 49 = - 40 + 49

(x - 7)² = 9

Answer:

[tex]\sf (x-\boxed{\bf7}\:)^2=\boxed{\bf9}[/tex]

Step-by-step explanation:

First of all, let's move the constant term to the right side of the equation:-

[tex]\sf x^{2} -14=-40[/tex]

To complete the square we'll take half of the coefficient of our x term, square it, and add it to both sides of the equation. Since the coefficient of our x term is -14 ,half of it would be -7 and squaring it gives us 49.

[tex]\sf x^2-14x+49=-40+49[/tex]

Now, we can rewrite the left side of the equation as a squared term.

[tex]\sf (x-7)^2=9[/tex]

_____________________

Hope this helps!

Have a great day!

Both sides are equal

[tex]\\ \rm\longmapsto 4z-6=z+11[/tex]

[tex]\\ \rm\longmapsto 4z-z=17[/tex]

[tex]\\ \rm\longmapsto 3z=17[/tex]

[tex]\\ \rm\longmapsto z=17/3[/tex]

Answer:

50.24cm

Step-by-step explanation:

Yes, you got it right. The formula for circumference is pi times diameter, so 3.14x16=50.24. Hope this helps <3!

Answer:

5 is the answer of the question

Answer:

He rent the bike for 2 hours.

Step-by-step explanation:

5x + 13= 23

I honestly just 13+5= 18

Then 18+5= 23

That is how I knew it was 2 hours.

It probably wasn't the right way to do it, but it was the way I thought it through. Sorry if this doesn't help. Have a great day.

Answer:

1331

Step-by-step explanation:

bc 9315/7 is a decimal so u round up

Step-by-step explanation:

how many -4 are there

Answer:

Rewrite the addition of groups as a mu of groups. (-4) + (-4) + (-4) + (-4) + (-4) =​

Step-by-step explanation:

Rewrite the addition of groups as a mu of groups. (-4) + (-4) + (-4) + (-4) + (-4) =​Rewrite the addition of groups as a mu of groups. (-4) + (-4) + (-4) + (-4) + (-4) =​

Answer:

The answer that best fits the graph is C

Hope this helps! Have a great day/night!

Answer:

25

Step-by-step explanation:

2 to the power of 4 + 16

3 to the power of 2 = 9

so, 16 + 9 is 25...

Step-by-step explanation:

[tex] {2}^{4 + } {3}^{2} [/tex]

=2x2x2x2+3x3

=16+9

=25