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gavmur [86]
3 years ago
5

Step by step plz my geometry is very weak. thank you

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

For problem #1 There is a formula to find the measure of each interior angle in aNy polygon. This formula is (n-2)*180 divided by n

n stands for the number of sides of a polygon

In this case we have a NONAGON so the value of n would be 9

Plug that value of n into the formula and you should get your answer in degree units ;)


For #2, the first shape is a trapezoid. There is a formula for the area of a trapezoid and this is Area=  \frac{a+b}{2}*h

a= the base of the trapezoid (let's say that is 9 units)

b= the other base of the trapezoid (this would be 15 units)

h= the height of the trapezoid (8 units)

Plug the numbers into the formula I gave you and you should get your answer in units squared


b) The second shape is a regular hexagon.  We know it's regular because they show you the tick marks that means that all the sides in that hexagon are the same length.

The formula is Area = \frac{1}{2}*a*p

a= the apothem which is the length going from the center straight down to the edge forming a 90-degree angle. They give you this length in the drawing which is 3 units. 

p= perimeter The perimeter can be found by adding up all the sides of the hexagon. They tell you each side is 4 units and the hexagon has 6 sides, so the perimeter is 4+4+4+4+4+4= 24 units

Plug the numbers into the formula I gave you and you should get your answer in units squared


c) To find the area of the next shape, you can split the figure into three different shapes composed by a parallelogram, a trapezoid, and a rectangle.
I already gave you the formula to find the Area of the trapezoid so I hope you can figure that out. If you struggle, reach out and I can help.The area of a parallelogram is A=base*height and the area of a rectangle is A=side*side
Add up those 3 areas and you will get your answer!

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Find the distance between the points (7,-1) and (5,9)
Dmitry_Shevchenko [17]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{10.198 units}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Points (7, -1) and (5, 9)}

Find: \textsf{Determine the distance between the two points}

Solution:  In order to find the distance we need to use the distance formula, plug in the values, and simplify the expression.

<u>Plug in the values</u>

  • d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
  • d = \sqrt{(5 - 7)^2 + (9 - (-1))^2}

<u>Simplify the expression</u>

  • d = \sqrt{(-2)^2 + (9 + 1)^2}
  • d = \sqrt{4+ (10)^2}
  • d = \sqrt{4 + 100}
  • d = \sqrt{104}
  • d = 10.198

After simplifying the expression we were able to determine that the distance between the two points is 10.198 units.

8 0
2 years ago
Cody stamped 460 envelopes in 30 minutes. How many envelopes per minute did Cody stamp?​
Leokris [45]

Answer:

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Step-by-step explanation:

Take the number of envelopes and divide by the number of minutes

460 envelopes / 30 minutes

15.333333.... envelopes per minute

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3 0
3 years ago
Which equation is incorrect if x =0 <br><br>1. 9x-3x-4 <br><br>2. 12x-4 <br><br>3. 5x+x-4
diamong [38]
They’re all -4 ,, what exactly are you asking ?
6 0
3 years ago
How do you do this problem?
erastovalidia [21]

Step-by-step explanation:

∫₀² x f(x²) dx

If u = x², then du = 2x dx, and ½ du = x dx.

When x = 0, u = 0.  When x = 2, u = 4.

∫₀⁴ ½ f(u) du

½ (16)

8

7 0
3 years ago
What is the sum of x + 9?
vovikov84 [41]
So 30/48=15/(x+9)
this could be easily solved by recognizing the proportion (the other way is usiing full  algebra and doing multiply both sides by 48(x+9) and then divide both sides by 30 then subtract 9)
30 is 2 times of 15
therefor 48 is 2 times of (x+9)
48=2 times (x+9)
divide both sides by 2
24=x+9
subtract 9
15=x

x=15

5 0
3 years ago
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