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Darina [25.2K]
3 years ago
7

Please include work

Mathematics
1 answer:
OLga [1]3 years ago
7 0

Answer:

9.     6k + 5 and 2k - 1.

10.    5√2 .

Step-by-step explanation:

9.    Area = 12k^2 + 4k - 5

Factoring:

12k^2 - 6k + 10k - 5

= 6k(2k - 1) + 5(2k - 1)

= (6k + 5)(2k - 1)

So the required lengths are 6k + 5 and 2k - 1.

10.  The ratio of a leg to the hypotenuse is  1: √2 so if the hypotenus = 10 the length of a leg is 10 / √2  

= 10 √2  / 2

= 5√2 .

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A bicycle wheel with radius 30cm made 1000 revolutions. What distance did it cover?​
Inga [223]

The distance covered by bicycle is 1.885 km.

What is distnace?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language.

Given:  A bicycle wheel with radius 30cm made 1000 revolutions.

We have to find the total distance covered by bicycle.

First to find the circumference of the bicycle wheel.

Circumference = 2πr

where, r is the radius.

Here r = 30.

So,

Circumference = 2 x π x 30 = 60π

Now to find the total distance,

D = circumference x number of revolutions.

D = 60π x 1000

D = 188,495.5592 cm

D = 188,495.5592 /1000 km

D = 1.88 km

Therefore, the distance covered by bicycle is, 1.885 km.

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brainly.com/question/26046491

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8 0
1 year ago
What is being done to the variable in the equation y + 8.5 = 17.2?
olganol [36]
<span>The number 8.5 is being added. </span>
3 0
3 years ago
Read 2 more answers
I've been trying to get an answer for this all day and don't know where to begin what is the answer like I have no clue ​
Shtirlitz [24]

so, we have two 54x18 rectangles, so their perimeter is simply all those units added together, 54+54+54+54+18+18+18+18 = 288.

we know the circle's diameter is 1.5 times the width, well, the width is 18, so the diameter of the circle must be 1.5*18 = 27.

\bf \stackrel{\textit{circumference of a circle}}{C=d\pi }~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=27 \end{cases}\implies C=27\pi \implies C=\stackrel{\pi =3.14}{84.78} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{perimeter of the rectangles}}{288}~~~~+~~~~\stackrel{\textit{perimeter of the circle}}{84.78}~~~~=~~~~372.78

6 0
3 years ago
mr. Flanders drives 1 2/3 miles to school and 1 2/3 miles home each day he also drives an extra 2 2/7 miles to go to the gym how
Alina [70]
The answer is six and two out of seven or 6 and two sevenths
5 0
3 years ago
The formula c=√(a^2+4b^2 ) Solve the equation for b. That means get “b” all by itself on one side of the equation. Show your wor
fiasKO [112]

Answer:

b^{2} =\frac{c^{2}-a^{2}  }{4}

Step-by-step explanation:

I believe this is the correct answer. In order to check that my equations are correct I put in some dummy numbers.

a= 2

b=4

c= 2\sqrt{17}

7 0
3 years ago
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