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3 years ago

. What is the distance between -30 and 20 on the number line? *

Mathematics

2 answers:

fenix001 [56]3 years ago

6 0

Answer:

+50

Step-by-step explanation:

I hope it's helped........

expeople1 [14]3 years ago

5 0

Answer:

Step-by-step explanation:

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How to find the area of the base of a cone

Gre4nikov [31]

Answer:

Step-by-step explanation:

The base of a cone is simply a circle.

The formula for the area of a circle is A = πr^2.

Example: What is the area of the base of a cone, if the radius of the base is 5 cm?

Answer: A = π(5 cm)^2 = 25π cm^2

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3 years ago

What is the solution(s) to the system of equations y = x² +4 and y = 2x + 4

bija089 [108]

Answer:

$(x,y) = (0,4)~ \text{and}~ (x,y) = (2,8)$

Step by step explanation:

$y = x^2 +4~~~~~~~~~...(i)\\\\y = 2x +4~~~~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~x^2 +4 = 2x+4\\\\\implies x^2 = 2x\\\\\implies x^2 -2x = 0\\\\\implies x(x-2) = 0\\\\\implies x =0,~ x = 2$

$\text{Substitute x = 0 in eq (i):}\\\\y = 0^2 +4 = 4\\\\\text{Substitute x = 2 in eq (i):}\\\\y=2^2+4 = 4+4 = 8\\\\\text{Hence,}~ (x,y)= \{(2,8), (0,4)\}$

3 0

2 years ago

A taxi is charging you $1.50 per 500 meters. If you know your destination is 7.1 miles away, how much will the taxi cost you? Th

Anuta_ua [19.1K]

Answer:

$34.27

Step-by-step explanation:

First, we should make everything the same value, so convert the 7.1 miles into meters. (11,423.9 meters). Since we are trying to find a value <em>per</em> 500 meters, divide the 11,423.9 meters by 500 to get 22.8478. Multiply this number by $1.50 to get the value 34.2717 and since we are rounding to the cent, that would be $34.27

5 0

3 years ago

Read 2 more answers

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h

mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder

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

Volume of a Cylinder $=\pi r^2 h$

Therefore:

The Volume of the Solid formed

$=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Area of the Hemisphere = $2\pi r^2$

Curved Surface Area of the Cylinder = $2\pi rh$

Total Surface Area=

$2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh$

Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.

Therefore total Cost, C

$=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh$

Recall: $h=\frac{4640}{\pi r^2}-\frac{4r}{3}$

Therefore:

$C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}$