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irga5000 [103]
3 years ago
6

George is helping the manager of the local produce market expand her business by distributing flyers

Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0
The total amount that George will receive is the sum of the daily wage and the commission based on the number of flyers distributed which is equal to 0.05x, considering that he distributed x flyers. The inequality that would represent the given is,
                               20 + 0.05x ≥ 65
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I doesn't seem right to me. You can use an online calculator where all you do is input the values. Search for "parabolic motion calculator" or something along those lines. Hope it helps.
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3 years ago
A car went 64 miles on 2 gallons of gas in the morning, 16 miles on 1/2 gallon of gas at noon, and 32 miles on 1 gallon of gas a
Marina86 [1]

Answer:

Yes,

Step-by-step explanation:

You take 64 miles for 2 gallons and divide it by 2. And it leads up to 32 miles and 1 gallon. Now you divide that by 2 again and get 16 miles and 1/2 gallon. So, to check that you can take 16+16 and you get 32 and take 32+32 and you get 64.

7 0
3 years ago
In this figure, lines a and b intersect a transversal, c.
pogonyaev

Answer: Alternate exterior angles

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Nikita began with the figure shown.
slava [35]

The angles formed by the angle bisector BF are ∠FBA and ∠FBC.

The step in which the mistake was made is<u> step 3; Then, she placed the compass on point C and drew an arc on the interior of ∠ABC which intersects the previous arc</u>.

Reasons:

The steps to draw an angle bisector are;

Place the compass at the vertex of the angle and draw an arc intersecting the the two rays forming the angle at points <em>D</em> and <em>E</em>

Place the compass at point <em>D</em> and draw an interior arc to the given angle

Place the compass at point <em>E</em> and draw a second interior arc intersecting the previous arc

The point of intersection of the two arcs can be labelled <em>F</em> and joined to the vertex of the given angle to complete the angle bisection

Therefore, the step in which the mistake was made is; Step 3 where the compass is placed at point <em>C</em> rather than point <em>E </em>to draw the second arc of the angle bisector

Learn more about an angle bisector here:

brainly.com/question/10130247

6 0
3 years ago
A ball of radius 15 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid. Hint: The u
OverLord2011 [107]

Answer:

The volume of the ball with the drilled hole is:

\displaystyle\frac{8000\pi\sqrt{2}}{3}

Step-by-step explanation:

See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

x^2+y^2=15^2\to y=\sqrt{225-x^2}

Then we set the integral for the volume by using shell method:

\displaystyle\int_5^{15}2\pi x\sqrt{225-x^2}dx

That can be solved by substitution:

u=225-x^2\to du=-2xdx

The limits of integration also change:

For x=5: u=225-5^2=200

For x=15: u=225-15^2=0

So the integral becomes:

\displaystyle -\int_{200}^{0}\pi \sqrt{u}du

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

\displaystyle \int_{0}^{200}\pi u^{1/2}du

Then applying the basic rule we get:

\displaystyle\frac{2\pi}{3}u^{3/2}\Bigg|_0^{200}=\frac{2\pi(200\sqrt{200})}{3}=\frac{400\pi(10)\sqrt{2}}{3}=\frac{4000\pi\sqrt{2}}{3}

Since that is just half of the solid, we multiply by 2 to get the complete volume:

\displaystyle\frac{2\cdot4000\pi\sqrt{2}}{3}

=\displaystyle\frac{8000\pi\sqrt{2}}{3}

5 0
4 years ago
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