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Mandarinka [93]
2 years ago
8

Plz help I had no idea these things even existed...

Mathematics
1 answer:
GrogVix [38]2 years ago
4 0
X/12=(2 1/3)/5  note that 2 1/3=7/3

x/12=(7/3)/5

x/12=7/15  multiply both sides by 12

x=84/15

x=28/5

x=56/10

x=5.6
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See the picture below
mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

a)

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}

radius is given as 4, so,

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04

Now, Volume of Cone = \frac{1}{3}\pi r^2 h

Where radius is 4 and height is 10, so,

Volume of Cone = \frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

b)

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = 2\pi r^2\\=2\pi (4)^2\\=100.53

Surface Area of Cone = \pi r^2+\pi rl

We dont need to use the first part, \pi r^2  since it is "inside". We  need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = \pi rl\\=\pi (4)(10.77)\\=135.34

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0
3 years ago
Andy completes the square for the equation x2 + 6x - 8 = 0. Which of the following equations reveals the vertex of the parabola?
Stolb23 [73]
If the equation x^2+6x-8 has undergo completing the square, the answer would be:
x^2+6x-8

x^2+6x+9-8-9
**In this example, since 6x is the middle term, what comes to my mind is the polynomial (x+3) because 2ab results into 6x. [from the special products lesson (a+b)^2=a^2+2ab+b^2 ] 
(x+3)^2 -17 = 0
So if the equation is equal to y, then this equation's
y+17=(x+3)^2
The vertex would be on the point (-3, -17)
3 0
3 years ago
Read 2 more answers
-10+5k^5 write in standard form
Yanka [14]

Answer:

Step-by-step explanation:

How to write numbers in standard form:

Write the first number 8.

Add a decimal point after it: 8.

Now count the number of digits after 8. There are 13 digits.

So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³

7 0
2 years ago
What does quantitative data mean?
Serhud [2]
Quantitative data<span> is information about quantities; this is the only way I know how to explain,information that can be measured and written down with numbers is known as quantitative data! Heres an example,youre height!
: D</span>
4 0
3 years ago
What multiplies to be 42 and adds to be 23?
Furkat [3]
A) x * y = 42  (or x = 42/y)
B) x + y = 23

B) 42/y + y = 23
42 + y^2 = 23y
y^2 -23y + 42 = 0

The numbers are 21 and 2


7 0
3 years ago
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