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insens350 [35]
3 years ago
13

The diameter of a small gear is 16 cm. This is 2.5 cm more than 1/4 of the diameter of a larger gear. What is the diameterof the

larger gear?
Mathematics
2 answers:
Alex787 [66]3 years ago
6 0
16 cm - 2.5 cm = 13.5 cm, which is 1/4 of the diameter of the large gear. Take 13.5 cm * 4, and you have the diameter of the large gear, which is 54 cm.
Yuki888 [10]3 years ago
3 0
16-2.5=13.5 and 13.5x4=54
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A football team gained 10 yards on one play and then lost 22 yards on the next. What was the overall change in field position.
grandymaker [24]

Answer:12 yards

Step-by-step explanation: 22-10=12

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3 years ago
7. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point) f(g(x)) = 2 Square root of quantity two
AlladinOne [14]

Answer:

f(g(x)) =

\sqrt{8x \:  -  \: 13}  \:  +  \: 9

Step-by-step explanation:

f(x) =

\sqrt{x}  \:  +  \: 9

g(x) = 8x - 13

f(g(x) =

\sqrt{8x \:  - 13}  \:  +  \: 9

5 0
3 years ago
Prove that at a party where some people shake hands, the number of people who shake hands with an odd number of people is an eve
Kobotan [32]
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people. Count how many different answers there are to asking the person the question "How many hands did you shake?" How many people are there? If the people are the pigeons, and the possible answers to the question "how many hands did you shake" are the holes, can we conclude anything yet? No? How about now noticing that at least one of the holes "I shook hands with noone" or "I shook hands with everyone" has to be empty... now what?

"Since there are more pigeons than holes there must be a hole with at least two pigeons in the same hole" Now, replace the word "pigeons" and "holes" with the appropriate terms for the context of your specific question, remember we are talking about people and number of handshakes they participated in.
5 0
3 years ago
 14
tatyana61 [14]
We can display the information given as an equation:
2000 * r^{19} = 4000; r = increase per annum
Now, we rearrange and solve for r:
r^{19} = 2
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We can now work out the increase for 5 years like so:
2000 * r^{5} = 2400.205..... ⇒ $2400
4 0
3 years ago
Find the missing lengths in the triangle. round to the nearest tenth if necessary
lubasha [3.4K]

Answer:

x=8,\\y\approx 6.9

Step-by-step explanation:

The side lengths of all 30-60-90 triangles are in ratio x:x\sqrt{3}:2x}, where 2x is the hypotenuse of the triangle and x is the side opposite to the 30 degree angle.

In the given diagram, the side labelled 4 is opposite to the 30 degree angle. Since x is labelled as the hypotenuse of the triangle, x must be 4\cdot 2=\boxed{8}.

Variable y must then represent x\sqrt{3} for x=4, yielding y=4\sqrt{3}\approx \boxed{6.9}

7 0
3 years ago
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