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ololo11 [35]
3 years ago
7

1. Vertical angles are complementary

Mathematics
1 answer:
nignag [31]3 years ago
6 0

Answer:

  • 1. Sometimes, 2. Never, 3. Always, 4. Never

Step-by-step explanation:

1. Vertical angles are complementary

  • Sometimes (if measure45°)

2. Vertical angles are adjacent

  • Never

3. The complement of an acute angle is an acute angle

  • Always. Both of them < 90°

4. The supplement of an obtuse angle is an obtuse angle

  • Never. Obtuse angle > 90°, supplement is (180° - obtuse), which is <90° so is acute
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Determine the volume of a sphere with a great circle of radius 12 cm.
RUDIKE [14]

Answer:

7238 cm³

Step-by-step explanation:

The radius of the great circle is the radius of the sphere.

The formula for the volume of a sphere is

V = ⁴/₃πr³

V = ⁴/₃π (12)³ = ⁴/₃π × 1728 = 2304π cm³ ≈ 7238 cm³

5 0
3 years ago
What is the common ratio and explicit formula for -2,6,-18,54?
Snezhnost [94]

Answer:

The explicit formula for a given geometric sequence is of the form

a_{4} =\frac{1}{(a_{1})^4}

Step-by-step explanation:

Given sequence is {\{-2,6,-18,54}\}

Let a_{1}=-2,a_{2}=6,a_{3}=-18,a_{4}=54

To find the common ratio r:

r=\frac{a_{2}}{a_{1}}

=\frac{6}{-2}

=-3

Therefore r=-3

r=\frac{a_{3}}{a_{2}}

=\frac{-18}{6}

=-3

Therefore r=-3

Therefore common ratio is -3

Therefore given sequence is geometric sequence.

The explicit formula for a geometric sequence is a_{n}=a_{1}^{r-1}, where common ratio is r.

From given sequence we are having  r=-3

Therefore the explicit formula for a given geometric sequence is of the form a_{4} =a_{1}^{-3-1}

a_{4} =a_{1}^{-4}

a_{4} =\frac{1}{(a_{1})^4}

6 0
3 years ago
On Friday, 3/5 of the students wore blue shirts and 1/4 of the students wore white shirts. What fraction of the students wore ei
velikii [3]
Since 3/5 of the students wore blue shirts and 1/4 of the students wore white shirts, you need to find the Total of 3/5 and 1/4.
First, step find a common denominator for both fractions
EXAMPLE: 3/5+1/4=Total 3/5 becomes 12/20 and 1/4 becomes 5/20.
Second, notice that both fractions now have the same denominator, now you can find the sum of both fractions which is 17/20
Finally, you need to check if the fraction can be SIMPLIFIED if not then the fraction is already im simplest form.
THE ANSWER: 17/20 of students wore either a blue or white shirt on Friday

6 0
3 years ago
One day, Pam drove 102 miles in 1 1/2 hours. Jake drove 54 miles in 3/4 hour. Who drove at a faster rate?
8090 [49]

Answer:

make the answwer a decimal

Step-by-step explanation:

the fraction need to be a decimal

8 0
3 years ago
Karen purchased a used vehicle that depreciates under a straight line method the initial value if the car is 4400 and the salvag
emmasim [6.3K]
It is expected to depreciate from 4400 to 800 in 6 years. The depreciation per year is the ratio
  depreciation per year = (total depreciation) / (number of years)

The total depreciation is the change in value, so the depreciation per year is
  (4400 - 800)/6 = 600

Karen expects the vehicle to depreciate by 600 each year.
4 0
4 years ago
Read 2 more answers
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