Answer:
The correct option is 4.
Step-by-step explanation:
The given expression is
Simplify the given expression.
Therefore correct option is 4.
The measures of the angles of ABC are in the ratio 1:3:5 what are the measures of the angles?
1 answer:
The measurement of angles are: 20°, 60° and 100°
Step-by-step explanation:
Let x be the first angle
Then according to the ratio
1:3:5
The angles will be x,3x,5x
We know that the sum of interior angles of a triangle is 180 degrees
So,
Dividing both sides by 9
The angles are:
First angle = x = 20°
Second angle = 3x = 3*20 = 60°
Third angle = 5x = 5*20 = 100°
Hence,
The measurement of angles are: 20°, 60° and 100°
Keywords: Sum of angles, triangles
Learn more about triangles at:
#LearnwithBrainly
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Convert to cylindrical coordinates:
Then is the set of points
such that
,
, and
or
.
Now
The arithmetic sequence is:
The answer is:
783
Answer:
<em>alternative hypothesis : H₁ :</em>
<em>Recent Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>
<em>Alternative Hypothesis : H₁: μ < $1.298 a gallon</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon
<em>Population average μ= $1.298 a gallon</em>
<em>sample size 'n' = 37</em>
<em>Sample mean (x⁻) = $1.192 a gallon </em>
<em>Sample standard deviation 'S' = $0.0436</em>
<em>Null hypothesis :H₀ : μ = $1.298 a gallon</em>
<em>Alternative Hypothesis : μ < $1.298 a gallon</em>
<em>Degrees of freedom : ν = n-1= 37-1=36</em>
<em>t₀.₀₂₅ = 1.688</em>
<em>Test statistic </em>
<em> </em><em></em>
<em> </em><em></em>
<em> t = -14.8044</em>
<em>|t| = |-14.8044| > 1.688</em>
<em>Null hypothesis is rejected </em>
<em>Alternative hypothesis is accepted </em>
<em>Recent Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>