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blondinia [14]
2 years ago
6

Please help me!!!!!!

Mathematics
1 answer:
zmey [24]2 years ago
3 0
Y=1/2 x +4
Slope = x coefficient = rise/run = 2/4=1/2
Y intercept= constant = 4
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Dr.Lamb is mixing a solution for his next patient. He has a cylindrical test tube which is 4 inches across on the inside. The de
SSSSS [86.1K]

Answer:  There are 34.35 liters left in the test tube.

Step-by-step explanation:

Since we have given that

Depth of the tube = 9 inches

Circumference of base=4 inches

As we know the formula of circumference ,

Circumference=2\pi r\\\\4=2\times \frac{22}{7}\times r\\\\4\times{7}{22\times 2}=r\\\\\frac{7}{11}=r

Now, we need to find the volume of tube is given by

\text{ Volume of test tube }=\pi r^2h\\\\\text{ Volume of test tube }=\frac{22}{7}\times \frac{7}{11}\times \frac{7}{11}\times 9\\\\\text{ Volume of test tube }=\frac{126}{11}=11.45\ inches^3

Since we have also given that,

Of 1 cubic inch of space holds 3 liters of water,

So,

1\text{ cubic inch}=3\text{ liters}\\\\11.45\text{ cubic inches}=3\times 11.45=34.35\text{ liters}

Hence, there are 34.35 liters left in the test tube.



6 0
3 years ago
The magnitude of the resultant vector shown is _____.
Flura [38]

Answer:

  2√3

Step-by-step explanation:

You recognize this as a 30°-60°-90° triangle, so you know the hypotenuse (R) is twice the length of the shortest side (√3).

The magnitude of R is 2√3.

_____

In case you haven't memorized the ratios for a 30°-60°-90° triangle, you can use trigonometry and the fact that ...

  Sin = Opposite/Hypotenuse

  sin(30°) = √3/R

  R = √3/sin(30°) = √3/(1/2) = 2√3

Of course, doing this on your calculator will give a numerical answer, which you may not want.

6 0
2 years ago
What is the rate of change between the (-3,0) and (-2,-5)?
aleksandr82 [10.1K]

Answer:

Rate of change (slope) = -5

Step-by-step explanation:

Rate of change = (-5 -0) / (-2 - - 3) = -5/1 = -5

6 0
2 years ago
Work out the sum of <br> 13/15<br> and <br> 3/10<br> . <br> Give your answer in its simplest form.
Crank

Answer: 26

Step-by-step explanation:

cut 3 and 15

cut 5/10 which was 15/10

15/10=2

then multiply 13*2 = 26

5 0
2 years ago
Cone A is divided into Cone B and Frustum C. B A 12cm C 20cm 20cm Express the volume of Frustum C as a fraction of the volume of
zaharov [31]

The volume of the frustum is volume of the whole cone(A) minus the smaller cone(B) which is would give the volume of frustum(C) = 256cm³

<h3>Calculation of a frustum</h3>

The volume of cone A V=πr²h/3

Where radius = 20cm

The volume of cone B = V=πr²h/3

Where radius = 12cm

Therefore volume of frustum =

V=π * 20² * h/3 - π * 12² *h/3

The variables will cancel out each other

V = 20² - 12²

V = 400- 144

V = 256cm³

Therefore, the volume of the frustum(C) = 256cm³

Learn more about cone here:

brainly.com/question/1082469

#SPJ1

7 0
2 years ago
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