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e-lub [12.9K]
3 years ago
12

A cone shaped cup has a radius of 4 inches and a height of 6 inches. Which measurement is the closest to the volume in cubic inc

hes for the cup? Use 3.14 for π.
25.12 in³

12.28 in³

100.48 in³

6.14 in³
Mathematics
1 answer:
Rama09 [41]3 years ago
5 0
Volume of a cone can be found finding the area of the base of the cone, times the height of the cone, divided by 3. Or, V = \frac{ \pi  r^{2} h}{3}

Substituting into the formula: V = \frac{ \pi  4^{2} 6}{3} = 32(3.14) = 100.48
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if you are examining a triangle with given measurements for one leg and the hypotnuse,how will you determine the measure of the
Alexus [3.1K]

We will apply the Pythagoras theorem to find the measure of the unknown leg in a triangle when one leg and the hypotenuse are provided dimensions.

<h3>What is the definition of a right-angle triangle?</h3>

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometric function.

According to Pythagoras, the sum of the squares of two sides equals the square of the longest side.

\rm h^2 = p^2+ b^2

Where,

h is the hypotenuse

p is the perpendicular

b is the base

If any of the two is given the third side will be obtained using the  Pythagoras theorem.

In a triangle with given measurements for one leg and the hypotenuse, we will determine the measure of the unknown leg by the Pythagoras theorem.

Hence we willl apply the pythogorous theorem for finding the unknown side.

To learn more about right-angle triangles, refer to brainly.com/question/3770177.

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6 0
2 years ago
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It
Pachacha [2.7K]

Answer:

We reject the null hypothesis, and accept the alternative hypothesis.

So, it means that the machine is under filling the bags

Step-by-step explanation:

Given

Null Hypothesis

H_0:\mu = 419 --- works correctly at 419g

Alternate Hypothesis

H_0:\mu < 419 --- under fills the bag

n =15 --- the sample

\bar x = 409 --- the mean

\sigma = 22 --- the standard deviation

\alpha = 0.05 --- the significance level

Required

What is the decision rule

Since n is less than 30, we make use of t test

t = \frac{\bar x - \mu}{\sigma/\sqrt n}

t = \frac{409 - 419}{22/\sqrt{15}}

t = \frac{-10}{22/ 3.87}

t = \frac{-10}{5.58}

t = -1.792

Calculate df

df = n-1

df = 15-1

df = 14

Calculate the p value from the Student's t-distribution  at df = 14 and t = -1.792

p =0.047  

Given that: \alpha = 0.05

Since p < \alpha

So, it means that the machine is under filling the bags

6 0
3 years ago
Y=3x+12 positive or negative
jolli1 [7]

Answer:

x = -4 thus negative

Step-by-step explanation:

Solve for x:

3 x + 12 = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 12 from both sides:

3 x + (12 - 12) = -12

Hint: | Look for the difference of two identical terms.

12 - 12 = 0:

3 x = -12

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 x = -12 by 3:

(3 x)/3 = (-12)/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

x = (-12)/3

Hint: | In (-12)/3, divide 12 in the numerator by 3 in the denominator.

12/3 = (3×4)/3 = 4:

Answer: x = -4

5 0
3 years ago
What is the equation of the line in the graph
iren [92.7K]

Always, ALWAYS remeber this format: y = mx + b

In this equation, 'm' is the slope, and 'b' is the y-intercept

When you're trying to find a slope, remember that the equation is \frac{rise}{run}

When finding the rise and run, look at two points that are on the graph AND on the line as well. Essentially, make sure the points you're using are integers.

In this, case, the rise is -3, and the run is 2. This means that the slope is  \frac{-3}{2}

Now we have the first part of our equation:

y = - \frac{3}{2} + b

But wait! How do we find b?

Sometimes you have to input x in order to find it, but only when you're not supplied with a graph. In this case, all you have to do is look!

The point of the line that is on the y-axis is called the y-intercept.

In this graph, the y-intercept is -1

Now we have our complete equation!

y = - \frac{3}{2} - 1

Good luck!

3 0
3 years ago
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Kazeer [188]
75=2x-13
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88=2x
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7 0
3 years ago
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