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Burka [1]
4 years ago
14

Whats the GCF of 10a^3 and 25a?

Mathematics
1 answer:
jeyben [28]4 years ago
5 0
5a, because both are divided by 5 as the greatest common factor, and a to the first power (not a squared or cubed) is the greatest variable power they share :)
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Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: \frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3} square units

(22)

Similar to (21)

Area = 216\sqrt{3} square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

altitude=\frac{\sqrt{3}}{2}*side

side = \frac{36}{\sqrt{3}}

Hence, area of the hexagon will be: 648\sqrt{3} square units

(24)

Given is the inradius of an equilateral triangle.

Inradius = \frac{\sqrt{3}}{6}*side

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = \frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3} square units

4 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!! This is the graph of f(x). What is the value of f(2)?
Gennadij [26K]

the question answers are A 2 B 16 C 8 D 4

3 0
3 years ago
Please answer ASAP. due tomorrow.
Marat540 [252]

Answer:1: 36milimeters 2. 3,6 centimeters 3. 5milimeters 4.   .5centimeters  5. 50milimeters 6. 5centimeters

Step-by-step explanation:

4 0
4 years ago
A barrel contains 1513 liters of water. 34 of the water was used to water plants.
Korolek [52]
Considering that 34% of the total quantity of water was used to water the plants we can get to the solution of the problem.
Total quantity of water in the barrel = 1513 liters
Percent of water used for watering the plants = 34%
Then
Quantity of water used to water the plants = (34/100) * 1513
                                                                     = 514.42 liters
So 514.42 liters of water was used from the barrel to water the plants.
Quantity of water left in the barrel = 1513 - 514.42 liters
                                                      = 998.58 liters
So the quantity of water that is left in the barrel after watering the plants is 998.58 liters.
If you have said in the question that 3/4 of the total quantity of water was used for watering the plants, then the solutions would be as given below
Quantity of water used for watering the plants = (3/4) * 1513 liters
                                                                          = 1134.75 liters
Amount of water left in the barrel after watering the plants = 1513 - 1134.75 liters
                                                                                             = 378.25 liters.
8 0
4 years ago
William's car used 2 gallons to travel 68 miles. How far can he travel on 9 gallons?
crimeas [40]

Answer:

306 miles

Step-by-step explanation:

68 divided by 2 is 34

34 times 9 equals

7 0
3 years ago
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