A cylinder is wight inches high with a radius of three inches.It contains a ball with a diameter of five inches. What volume is left unoccupied in the cylinder?

Answer:

x ≤ 24

Step-by-step explanation:

x/4 ≤ 6

Multiply each side by 4

x/4 *4 ≤ 6*4

x ≤ 24

Answer:

[tex]x\leq 24[/tex]

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

Answer:A

Step-by-step explanation:  divide both by 5 and you get 3/4 because 15 divided by 5 = 3 and 20 divided by 5 =4

Answer: C and D

Step-by-step explanation:

Answer:

A and B are both credible on the graph.

Answer:

I think it is 7 squares.

Step-by-step explanation:

As you can see they added 3 more squares to the first block which gave you 4. Then they added 5 squares to the second one. If you take the third block, you will count 7 squares on the outside of the third block.

Answer:

They are both even numbers and they both go into eachother at least once

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]Circumference=2\pi r=28\pi \\2r=28\\r=14\\Area= \pi r^2=\pi 14^2=3.14*14^2=615.44[/tex]

Answer:

Step-by-step explanation:

New Note 2

Given coordinates:

B(1,2)

E(-5,3)

A(-6,3)

Part A, isosceles triangle

Need to find lengths of sides

BE^2 = ((-5-1)^2+(3-2)^2) = 36+1 = 37

BA^2 = ((-6-1)^2+(-3-2)^2) = 49+25 = 74

EA^2 = ((-6-(-5))^2+(-3-3)^2) = 1+ 36 = 37

Since BE^2 = EA^2, BE=EA, or triangle BEA is isosceles, with vertex at E.

Part B, find point R so that BEAR is a sqare

Need to show that the vertex angle, BEA is a right angle.

BA is diagonal and E is 90° if

BE^2 + EA^2 = BA^2

or

37+37 = 74

Hence angle BEA is right anglesd, and the two legs are eaual with length sqrt(37)

To find point R, we find the translation from point E to point B, i.e. from the vertex to end of one of the legs.

EB = B - E = (1-(-5))-(2-3) = <6,-1>

To find point R, apply this translation to the end of the other leg, i.e. point A,

R=A(-6,-3) + <6,-1>=R(0,-4)

Check:

RE (diagonal)^2 = ((0-(-5))^2+(-4-3)^2)  = 25+49 = 74 checks

RB^2 = ((0-1))^2+(-4-2)^2)  = 1+36 = 37 checks

RA^2 = ((0--(-6))^2+(-4-(-3))^2)  = 36+1 = 37 checks

Answer:

Step-by-step explanation:

take 109 degree as reference angle

using sin rule

sin 109=opposite/hypotenuse

0.94=c/36

c=0.94*36

c=33.84

c=33.8

Answer:

a mans car...

Step-by-step explanation:

a man's car breaks down while driving to work

because all the other ones are in their head

Answer:

£910

Step-by-step explanation:

You have to divide the amount of acres by the overall price.

Hope this helped

Answer:

∠ BCA = 45°, ∠ AWD = 90°

Step-by-step explanation:

All angles are right angles by definition.

Diagonals bisect the angles , so

∠ BCA = 45°

Diagonals are perpendicular bisectors of each other, so

∠ AWD = 90°

Answer:

Step-by-step explanation:

Um angle T and R don't exist on this triangle. Only sides and Angles A B C.

But remember Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

S o/h    C a/h    T o/a

Answer:

A. Yes, [tex]12\cdot 32> 360[/tex]

B. An underestimate could lead to you being stranded on a road trip in the middle of nowhere without guess. When it comes to these things, it's better to have more than necessary. After all, you'd rather have gas and not need it than need it and not have it.

Step-by-step explanation:

A. We can quickly calculate that 12 x 30 = 360. We need to travel 10 more miles to get to 370, but we have 2 miles per gallon and 12 gallons of gas, or 12 x 2 = 24 more miles! Upon further inspection it is evident that 12 x 32 = 360 + 24 = 384 which is indeed larger than 370.

B. Answer contains explanation.

Step-by-step explanation:

y = mx +b

m - the slope; b- y-intercept

therefore;

y = 3x - 4

m = 6; b = -4

y = 5x - 3

m = 5; b = -3

The coordinates of the point where the lines are crossed are the solution to the system of linear equations.

How to graph the lines:

y = 6x - 4

y-intercept (0; -4)

for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)

y = 5x - 3

y-intercept (0; -3)

for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)

***look at the img for graph reference***

Part B: x = 1; y = 2

19) No, 3 should multiply both x and 2. As they, (x+2) are both inside the parentheses. The correct answer should be 3x + 6.

20) No, when it comes to exponents and multiply, exponents is done first before multiply. Therefore, Brett should square 3 first before multiplying it by 2. the correct steps should be

2 * 3^2 + 5

= 2* 9 + 5

=18 + 5

=23

Answer:

m equals 4

Step-by-step explanation:

m represents the slope of the line.

The line equation is y = mx + b, which means that m = 4 and b = 0

Answer:

75

Step-by-step explanation:

since rectangle A with 12 moves to 60 meaning it was multiply by 5 so therefore we multiply the 15 by 5 giving 75

Answer:

2,033-993.50= 1039.50/74.25= 14

Step-by-step explanation:

not sure the exact equation but p would be 14 and you'd do something similar to that shown above

Answer:

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Step-by-step explanation:

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Answer:

In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles

The Law of Sines (or Sine Rule) is very useful for solving triangles:

a/sin A=b/sin B=c/sin C

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

its upside down turn it around

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

braniyest pls

Answer:

The paperclip measures 7.5 centimeters.

Step-by-step explanation:

Answer:

2)  $300

Step-by-step explanation:

I used the the following two points to find slope:

(9,400) and (8,350) to get a slope of 50

therefore, f(x) = 50x

f(6) = 50(6)

f(6) = 300

Answer:

Step-by-step explanation:

(4b^2+3)(4b^2-3)

since it is the expanded form of formula a^2-b^2=(a+b)(a-b) we can write,

=(4b^2)^2-(3)^3

=16b^4-9

Answer:

the answer is to multliply it by -4

Answer:

Step-by-step explanation:

-4i+3i=i-8+3i-12

-i=4i-20

20=4i+i

20=5i

20/5=i

4=i