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Rudiy27
3 years ago
7

A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer

to the nearest hundredth.
Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Answer:

18312.5mm³

Step-by-step explanation:

Given parameters:

Height of cylinder  = 18mm

radius  = 18mm

Unknown:

Volume of the cylinder = ?

Solution:

The volume of cylinder is given as;

  Volume  = π r ² h

Insert the given parameters and solve;

  Volume  = 3.14 x 18² x 18

  Volume  = 18312.5mm³

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4. A triangle has angle measures of 72º and 3°. What is the measure of the third angle?
8090 [49]

Answer:

105

the whole triangle adds up to 180

72+3=75

180-75=105

7 0
2 years ago
A research article reports the results of a new drug test. The drug is to be used to decrease vision loss in people with Macular
Brilliant_brown [7]

Answer:

A. Valid

Step-by-step explanation:

The P-value is the probability of getting this result or sample statistic if the null  hypothesis is true. That is why a low P-value (smaller than the significance level) is considered evidence to reject the null hypothesis, because the result has little probability of being due to chance.

The statement that the P-value is "the probability of getting results as extreme as or more extreme than the ones in this study if the drug is actually not effective" is valid, as the null hypothesis states generally the opposite of the objective of the study (demonstrate that the drug is effective), and the very low value of the P-value is indicative that this result, if the drug was not effective, has a very low probability.

7 0
3 years ago
Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a
Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

\vec F = (27.189,12.679)\,[lbf]

Vector (ordered pair - polar form)

\vec F = (30\,lbf, 25^{\circ})

Sum of vectorial components (linear combination)

\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force (\vec F), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

\vec F =  \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right) (1)

Vector (ordered pair - polar form)

\vec F = \left(\|\vec F\|, \theta\right)

Sum of vectorial components (linear combination)

\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j} (2)

Where:

\|\vec F\| - Norm of the vector force, in newtons.

\theta - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

\hat{i}, \hat{j} - Orthogonal axes, no unit.

If we know that \|\vec F\| = 30\,lbf and \theta = 25^{\circ}, then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]

\vec F = (27.189,12.679)\,[lbf]

Vector (ordered pair - polar form)

\vec F = (30\,lbf, 25^{\circ})

Sum of vectorial components (linear combination)

\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]

\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]

8 0
2 years ago
Tom swims a 1/2 kilometers every 1/4 hour. How far will he swim in one hour.​
fgiga [73]

Answer:

2 kilometers

Step-by-step explanation:

every 1 kilometer is a 1/2 hour. double that and you get 2

8 0
2 years ago
Find x and y in the system of equations:
NemiM [27]

Answer:

Y= -8

X= 3

Step-by-step explanation:

apply -(-a)=a rule

-23+4*8/3

-23+4*8=9

9/3

=3

2y-(3)=-19

y= -8

7 0
3 years ago
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