Answer:
x = 31.5
Step-by-step explanation:
The triangle on the left has 2 congruent sides and is therefore isosceles.
Thus the 2 base angles are congruent with measure
= = 63
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
The triangle on the right is also isosceles with base angles of measure x
63° is an external angle of the triangle on the right, thus
x + x = 63
2x = 63 ( divide both sides by 2 )
x = 31.5
Answer:
8/3 or 2 2/3
Step-by-step explanation:
We do sums and differences of fractions by giving them a common denominator, then finding the sum or difference of the numerators. Here, you can reduce the first fraction to 10/3, so it will have the same denominator as the second fraction.
Now, you have ...
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If you're really stumped, you can have your calculator do it.
Answer: 4
Step-by-step explanation:-------------------
Answer:
The correct set of hypotheses is:
Step-by-step explanation:
This should be researched with a hypothesis test on the proportion of tourists visiting Rock City.
The claim that want to be tested is if the proportion has increased from the past proportion (π=0.75).
Then, the alternative hypothesis will state that the proportion is significantly higher than 0.75.
On the contrary, the alternative hypothesis will state that the proportion is not significantly different than 0.75.
This can be written as:
The complete question is
<span>Four golf balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylinder. The diameter of each ball is 4cm.
1) </span><span>What is the volume of the cylinder rounded to the nearest cubic centimeter?
</span>2) <span>What is the total volume of the four balls rounded to the nearest cubic centimeter?
</span>3) <span>What percent of the volume of the container is occupied by the four balls?
</span><span>
Part 1) volume of the cylinder=pi*r</span>²*h
<span>r=4/2----> 2 cm
h=4*4----> 16 cm
</span>volume of the cylinder=pi*2²*16----> 200.96 cm³----> 201 cm³
the answer Part 1) is 201 cm³
Part 2) volume of a sphere=(4/3)*pi*r³ ( is equal to volume of one <span>golf ball)
</span>r=2 cm
volume of a sphere=(4/3)*pi*2³ ----> 33.49 cm³
so
volume of four golf ball-----> 4*33.49----> 133.97 cm³----> 134 cm³
the answer part 2) is 134 cm³
part 3)
volume of cylinder=201 cm³
volume of the four golf ball=134 cm³
so
if 201 cm³-----------> 100%
134 cm³--------> x
x=134*100/201----> x=66.67%
the answer part 3) is 66.67%