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LiRa [457]
2 years ago
14

PLEASE HELP!

Mathematics
1 answer:
makvit [3.9K]2 years ago
8 0

Answer:

Step-by-step explanation:

<h2>Cone:</h2>

    diameter = 12 cm

                  r =  12 ÷ 2 = 6 cm

                 h = 6 cm

      \sf \boxed{\text{\bf Volume of cone = $\dfrac{1}{3} \pi r^2h$ }}

                                    \sf = \dfrac{1}{3}*3.14*6*6*6\\\\ = 226.08 \ cm^3

To find the surface area, we need to find the slant 'l'

       \sf l = \sqrt{h^2+r^2}\\\\       =\sqrt{6^2+6^2}\\\\        = \sqrt{36+36}\\\\ =\sqrt{72}\\\\= 8.49 \ cm

       \sf \boxed{\text{\bf Total surface area of cone = $\pi r(r+l)$}}

                                                         = 3.14 * 6 * (6 + 8.49)

                                                        = 3.14 * 6 * 14.49

                                                        = 273 cm²

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Bill bought a new cellular phone. His monthly bill will be $32.99 each month which includes 100 minutes of use. Additional minut
Sunny_sXe [5.5K]

Answer: option D is the correct answer.

Step-by-step explanation:

Let m represent the total number of minutes that the phone is used in a month.

Let C represent the amount of the bill for using m minutes.

His monthly bill will be $32.99 each month which includes 100 minutes of use. Additional minutes will cost $0.19 per minute. It means that the cost of additional minutes is

0.19(m - 100). Therefore, the linear model representing the amount of the bill would be

C = 0.19(m - 100) + 32.99

7 0
3 years ago
Read 2 more answers
54. The triangles in the diagram below are congruent.
Reika [66]

Answer:

Angle N should be 64

Step-by-step explanation:

A triangle adds up to 180. So triangle JKL already has 60 towards 180. Triangle ONM already has 56 towards 180. So you have to find the other value needed in order to make 180. 56+60= 116 so we need to find the other angle to make 180. To do so just subtract 180-116 and that gives tou the answer 64 so that would be Angle N

7 0
3 years ago
8,392,003,830 in expanded form
zvonat [6]
8,000,000,000+300,000,000+90,000,000+
2,000,000+3,000+800+30
8 0
3 years ago
Consider the expression 25 – 10 ÷ 2 + 3.
Tems11 [23]

Given:

The expression is:

25-10\div 2+3

To find:

Part A: The expression using parentheses so that the expression equals 23.

Part B: The expression using parentheses so that the expression equals 3.

Solution:

Part A:

In option A,

(25-10)\div 2+3=15\div 2+3

(25-10)\div 2+3=7.5+3                       [Using BODMAS]

(25-10)\div 2+3=10.5

In option B,

25-10\div (2+3)=25-10\div 5

25-10\div (2+3)=25-2                      [Using BODMAS]

25-10\div (2+3)=23

In option C,

(25-10)\div (2+3)=15\div 5

(25-10)\div (2+3)=3

In option D,

25-(10\div 2)+3=25-5+3

25-(10\div 2)+3=28-5                     [Using BODMAS]

25-(10\div 2)+3=23

After the calculation, we have 25-10\div (2+3)=23 and 25-(10\div 2)+3=23.

Therefore, the correct options are B and D.

Part B: From part A, it is clear that

(25-10)\div (2+3)=3

Therefore, the correct option is C.

8 0
3 years ago
Which relationship describes angles 1 and 2?
MissTica
<span>1) supplementary angles => sum of angles' measure is 180°


Two lines intersecting creating four angles with the left obtuse angle labeled one and the acute angle to the right labeled two

= > angle 1 +  angle 2 = 180°

Then those two match.


2) complementary angles => sum of the two angles = 90°

Two lines intersecting in a right angle with a square indicating a right angle in quadrant one and a ray splitting quadrant two with a two labeling the left angle and one labeling the angle on the right

=> angle 2 + angle 1 = 90°

Then those two match

3) vertical angles

Two parallel horizontal lines intersected by a vertical line with a square indicating a right angle in quadrant one of the top line and a one labeling the angle in quadrant two and two labeling quadrant four of the top line

Those two matches because the angle label 1 and the angle label 2 are vertical angles as per the definittion.

4) adjacent angles

Two lines intersecting in a V shape with the left angle of one hundred fifty seven degrees and a bottom angle of X degrees

Those two match becasue the angle of 157° and the angle of X° are adjacent.
</span>
5 0
3 years ago
Read 2 more answers
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