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Elena-2011 [213]
3 years ago
7

What is 30% of 120 is what number?

Mathematics
1 answer:
wlad13 [49]3 years ago
5 0

Answer:

36

Step-by-step explanation:

30% as a decimal is 0.30, take that and multiply it by 120 to find 30% of 120

120 × 0.30 = 36

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What is the smallest angle of rotational symmetry that maps a regular pentagon onto itself?
lora16 [44]

Answer:

72º

Step-by-step explanation:

In order to calculate this you have to remember that the center angle of any polygon measures 360º, so what we do is just divide those 360 by the number of angles that you will find in the polygon, the number of angles equals the number of sides, so the pentagon has 5 sides, it will also have 5 angles. So we just divide the 360/5=72

So the smallest angle of rotational symmetry that maps a regular pentagon onto itself will be 72º

4 0
3 years ago
A circle centered at the origin contains the point
valentina_108 [34]

Answer:

Yes, the distance from the origin to the point (8,√17) is 9 units.

Step-by-step explanation:

The equation of a circle centered at the origin with radius , r has equation:

{x}^{2}  +  {y}^{2}  =  {r}^{2}

Since the circle passes through (0,-9), the radius is 9 units because (0,-9) is 9 units from the origin.

We substitute the radius to get:

{x}^{2}  +  {y}^{2}  =  {9}^{2}

{x}^{2}  +  {y}^{2}  =  81

If (8,√17) lies on this circle, then it must satisfy this equation:

{8}^{2}  +  { (\sqrt{17} )}^{2}  = 64 + 17 = 81

This is True.

This means the distance from (8,√17) is 9 units from the origin.

6 0
3 years ago
Deja wants to attend a carnival. The price of admission is $5.50, and each ride costs an additional 99cents. If she can spend at
Vlad [161]

Answer:

15

Step-by-step explanation:

Set up an equation:

21.00 \geq  5.50 + 0.99x

Solve for x:

First subtract 5.50 from both sides:

15.50 \geq 0.99x

Divide both sides by 0.99:

15.6 \geq x

Since you can't ride 0.6 of a ride the max number rides that Deja can ride is 15

7 0
3 years ago
Which equation gives the system an infinite number of solutions?
HACTEHA [7]
A is the answer because to values that are the same are infinite solutions.
5 0
3 years ago
Read 2 more answers
A triangle has sides with lengths 8, 15, and 17.
astraxan [27]

Answer:

a²+b²=c²

Step-by-step explanation:

4 0
3 years ago
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