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3 years ago

Which of the three following graphs display the same data?

Mathematics

2 answers:

notka56 [123]3 years ago

8 0

A. I and II
These two graphs show the same data just in different forms, bar graph and line graph.

maw [93]3 years ago

4 0

Answer:

d. I II AND III

Step-by-step explanation:

The information displayed by

I. Is represented by a column bar chart

II. The information represented is in form of line chart

III. The information presented is in the form of a pie chart

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Kimi’s dog gives birth to a litter of 4 puppies per year, on average. The relationship between time and the expected total numbe

denis-greek [22]

Answer:a,c

Step-by-step explanation:

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3 years ago

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Solve the inequality 2x−y⩾−5 for y. Which inequality represents the inequality in slope-intercept form?

aleksandr82 [10.1K]

Answer:

$y\leq 2x+5$

This represents slope intercept form: y = mx + b

Step-by-step explanation:

$2x - y \geq -5\\2x+5\geq y$

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3 years ago

solve this problem as a quadratic equation. The difference between two positive numbers is 5. Their product is 104 find the numb

Karolina [17]

Let's call the smaller number x:

y-x=5
xy=104

y-x=5 can be rewritten as y=x+5

Substituting this into the second equation gives:

x(x+5)=104
x^2+5x=104
x^2+5x-104=0

Then simply solve as a quadratic:

x^2+13x-8x-104=0
x(x+13) -8(x+13)=0
(x-8)(x+13) = 0

x=8,-13

the question said the numbers are positive, so x=8

if x=8,

y=x+5
y=13

So the two numbers are 8 and 13.

8 0

3 years ago

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A conical cup is made from a circular piece of paper with radius 10 cm by cutting out a sector and joining the edges as shown be

SVEN [57.7K]

Part a:

The opening of the cup is the circular base of the cup which has a circumference equal to the length of the arc formed by angle <span>θ = 9π/5 on the circular piece of paper from which the cone was made.

Thus, the circumference of the circle = Length of the arc formed by angle </span>θ = 9π/5 at the center which is given by
$C=r\theta \\ \\ =10\times \frac{9\pi}{5} \\ \\ =18\pi\approx56.55\ cm$

Part b:
The opening of the cup is the circular base of the cup which has a circumference equal to the length of the arc formed by angle <span>θ = 9π/5 on the circular piece of paper from which the cone was made.

</span>Recall that the circumference of a circle is given by $C=2\pi r$ and having obtained from part a that the circumference of the circular opening is $18\pi$ cm.

Thus,
$2\pi r=18\pi \\ \\ \Rightarrow r=9\ cm$

Part c:
The height of the cup can be obtained by noticing that the radius, height and the slant height of the cup forms a right triangle with the height and the radius as the legs and the slant height as the hypothenus.

Using pythagoras theorem, the height of the cup is obtained as follows:
$h^2+r^2=l^2$
where: h is the height, r is the radius and l is the slant height.

$h^2+9^2=10^2 \\ \\ \Rightarrow h^2=100-81=19 \\ \\ \Rightarrow h= \sqrt{19} \approx4.36\ cm$

Part d
Recall that the volume of a cone is given by $V= \frac{1}{3} \pi r^2h$

Thus, the volume of the cup is given by
$V= \frac{1}{3} \pi\times9^2\times \sqrt{19} \\ \\ \approx369.7\ cm^3$

3 0

3 years ago

10 pts

ArbitrLikvidat [17]

Answer:

101/4

Step-by-step explanation:

x+5+3x-7 = 99

x=101/4

3 0

2 years ago