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Mekhanik [1.2K]
4 years ago
13

5 gallons buckets of paint for $97.45 of a 1 gallon bucket of pain for $21.95.

Mathematics
1 answer:
postnew [5]4 years ago
7 0
The five gallons is cheaper since 97.45 divided by 5 is equal to 19.49.
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Triangle abc has side lengths ab = 65, bc = 33, and ac = 56. find the radius of the circle tangent to side ac and bc and to the
lara [203]

The radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.

r= 24.

<h3>What is the radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.?</h3>

Generally, the equation for side lengths AB is  mathematically given as

Triangle ABC has side lengths

Where

  • AB = 65,
  • BC = 33,
  • AC = 56.

Hence

r √ 2 · (89 √ 2/2 − r √ 2) = r(89 − 2r),

r = 89 − 65

r= 24.

In conclusion, The radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.

r= 24.

Read more about radius

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1 year ago
Select all figures for which there exists a direction such that all cross sections taken at that direction are congruent.
dimulka [17.4K]

Answer:

  • Rectangular Prism
  • Cube
  • Cylinder

Step-by-step explanation:

I know because I just did it on an assignement and it said these were the right answers.

4 0
3 years ago
If four lamps cost $120.00 what is the average cost per lamp?20.0025.0030.0035.0040.00
yanalaym [24]
The cost of 1 lamp is $30
4 0
3 years ago
Among all right circular cones with a slant height of 24​, what are the dimensions​ (radius and​ height) that maximize the volum
aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2

Once this is defined, we proceed to define the volume of a cone,

v=\frac{1}{3}\pi r^2 h

Substituting,

v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)

\frac{dv}{dh} = 0 then \rightarrow \frac{1}{3}\pi(576-3h^2)=0

h_1=-8\sqrt{3}\\h_2=8\sqrt{3}

<em>We select the positiv value.</em>

We have then,

r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}

We can now calculate the maximum volume,

V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99

4 0
3 years ago
How do you write 37/4 as a mixed number
Nataly_w [17]
9/14 the anwser its really easy but i understand

5 0
3 years ago
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