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LUCKY_DIMON [66]
3 years ago
7

A cone-shaped paper cup can hold 35 cubic inches of food. If the radius of the cone is 2.4 inches, what is the height of the con

e? Use 3.14 for pi. Round your answer to the nearest hundredth. 5.81 inches 6.57 inches 7.89 inches 8.89 inches
Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
7 0
\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2.4\\
V=35
\end{cases}\implies 35=\cfrac{\pi (2.4)^2 h}{3}\implies 105=5.76\pi h
\\\\\\
\cfrac{105}{5.76\pi }=h\implies 5.805467091295 \approx h\implies 5.81 \approx h
stepan [7]3 years ago
6 0
Let's look at the formula used to find the volume of a cone.
πr²(h/3)=V
Let's fill in what we know. The volume is 35 and the radius is 2.4. Also, we're using 3.14 for pi. Let's fill this in.
2.4²(3.14)(h/3)=35
Let's find 2.4 squared.
5.76(3.14)(h/3)=35
18.0864(h/3)=35
Let's divide both sides by 18.0864.
H/3=1.93708353
Let's multiply both sides 3.
H=5.81125058
H≈5.81
So, the height is 5.81 inches.
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Answer:

B 9, -9

Step-by-step explanation:

x^2 - 81 = 0

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x^2 = 81

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MariettaO [177]
The difference between set of whole numbers and a set of integers is that:

Whole numbers = {0, 1, 2, 3, 4, 5...}
Integers = {..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...}

If we name contents of the first set as n, in the second set you can have 2n-1 numbers (because we count 0 only once in both sets).
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3 years ago
Which graph shows the solution to the system of linear inequalities?<br> y&lt; 2x-5<br> y&gt;-3x + 1
trapecia [35]

Answer:

See explanation

Step-by-step explanation:

Plot the solution sets to both inequalities.

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2\cdot 0-5=-5

so the origin does not belong to the needed part. Shade the part, which does not include origin.

2. For the inequality y>-3x+1. First, plot the dotted line y=-3x+1 (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

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galben [10]

Answer:

y=11

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (-8, 11) and is perpendicular to x=-15

If a line is perpendicular to another line, it means that the slopes of those lines are negative and reciprocal; in other words, the product of the slopes is equal to -1

The line x=-15 has an undefined slope, which we can represent as 1/0, which is also undefined.

To find the slope of the line perpendicular to x=-15, we can use this equation (m is the slope):

m_1*m_2=-1

m_1 in this instance would be 1/0, so we can substitute it into the equation:

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Multiply both sides by 0

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So the slope of the new line is 0

We can substitute it into the equation y=mx+b, where m is the slope and b is the y intercept:

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Now we need to find b:

Since the equation passes through the point (-8,11), we can use its values to solve for b.

Substitute -8 as x and 11 as y:

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Multiply

11=0+b, or 11=b

So substitute into the equation:

y=0x+11

We can also write the equation as y=11

Hope this helps!

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Read 2 more answers
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