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Aleksandr-060686 [28]
3 years ago
13

The interior angles formed by the sides of a hexagon have measures that sum to 720°.

Mathematics
1 answer:
Sedaia [141]3 years ago
8 0
140
Hope this helps :)
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The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate,
Brrunno [24]

Answer:

192 ft^2

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

\pi is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. Volume =\frac{4}{3}\pi r^3

2. Surface\ Area = 4\pi r^2

Given volume is 256 ft³.

256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

Surface\ Area = 4\pi 4^2 = 4 \times 3 \times 16 = \bold{192\ ft^2}

So, approximate surface area of sculpture is 192 ft^2.

3 0
3 years ago
What does it mean when a polynomial equation is in standard​ form?
Nady [450]

Answer:

Standard form is Ax + By = C

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Sydawna has two part-time jobs. Her earnings for one week are represented by the equation: E = 9.25g + 10.50t
Iteru [2.4K]

Answer:

  • 9 hours

Step-by-step explanation:

<u>Given the equation: </u>

  • E = 9.25g + 10.50t
  • E - weekly total, g- number of hours at gas station, t- number of hours at toy store.

<u>Substitute given values into equation and solve for the missing one:</u>

  • 219.75 = 9.25g + 10.5*13
  • 219.75 = 9.25g + 136.5
  • 9.25g = 219.75 - 136.5
  • 9.25g = 83.25
  • g = 83.25/9.25
  • g = 9

Sydawna works 9 hours at the gas station

4 0
3 years ago
I have the answer for x I just need to know how to get the answer for Y, please help, thanks.
Ad libitum [116K]
You can use Soh Cah Toa to get your answer, in other words, sin cos tan. If you already have x, that means you probably used tan, which is adjacent and opposite. Now for y, you are trying to find the hypotenuse so you could use, sin or cos, for sin you would use the adjacent (x) and the hypotenuse (y) and for cos, you would use opposite (4) and the hypotenuse (y). This is all based on the angle 45.
4 0
3 years ago
Jayden has some dimes and some quarters. He has at most 25 coins worth at least $4.60 combined. If Jayden has 7 dimes, determine
Y_Kistochka [10]

Answer:

Step-by-step explanation:

A dime is worth 10 cents. Converting to dollars, it becomes 10/100 = $0.1

A quarter is worth 25 cents. Converting to dollars, it becomes 25/100 = $0.25

Let x represent the number of dimes that Jayden has.

Let y represent the number of quarters that Jayden has.

Jayden has some dimes and some quarters. He has at most 25 coins. It means that

x + y ≤ 25

The coins worth at least $4.60 combined. It means that

0.1x + 0.25y ≥ 4.6 - - - - - - - - - - 1

If Jayden has 7 dimes, then

7 + y ≤ 25

y ≤ 25 - 7

y ≤ 18

Substituting x = 7 into equation 1, it becomes

0.1 × 7 + 0.25y ≥ 4.6

0.7 + 0.25y ≥ 4.6

0.25y ≥ 4.6 - 0.7

0.25y ≥ 3.9

y ≥ 3.9/0.25

y ≥ 15.6

All possible values for the number of quarters that he could have would be

15.6 ≤ y ≤ 18

6 0
3 years ago
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