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3 years ago

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!

You might be interested in

The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. what would

svlad2 [7]

Answer:

The population in 2005 is 59,535 people.

Step-by-step explanation:

Annum means annually or yearly. We assume the rate has been consistent. To calculate percentage, take the percent in decimal form. 5% is 0.05 (like 17% is 0.17, and 50% 0.5). 5% is actually 5 hundredths of a number. Multiply this by the number you want the percentage of. 54,000*0.05=2,700. This is how much the population grows from 2003 to 2004.

There is a very common mistake people make after this, which is simply doubling that number and adding to the population. This is incorrect because if it grows 5% yearly, the yearly population CHANGES. The question would change if it were 2004 to 2005. Ask your teacher for clarification if this sounds wrong (if it is, do what I said above, the answer would be 59,400 people).

So, the population in 2004 is 54,000+2,700=56,700. Now, find 5% of the population in 2004 using the same method as before. 56,700*0.05=2,835. Add the growth to the pervious population. 56,700+2,835=59,535.

The population in 2005 is 59,535 people.

7 0

2 years ago

The average amount of money spent for lunch per person in the college cafeteria is $6.35 and the standard deviation is $2.31. Su

alexdok [17]

Answer:

(6.35, 5.34)

(6.35, 0.99)

0.10253

0.3984

Step-by-step explanation:

Given that :

μ = 6.35

σ = 2.31

n = 41

What is the distribution of X?X ~ N(,)

X :

Mean of distribution = μ= 6.35

The variance = σ^2 = 2.31^2 = 5.3361 = 5.34

X ~ N = (6.35, 5.34)

What is the distribution of x¯? x¯ ~ N(,)

The mean = μ = 6.35

The standard deviation of the mean = σ/sqrt(n) = 6.35/sqrt(41) = 0.9917 = 0.99

X ~N = (6.35, 0.99)

find the probability that this patron's lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757)

Obtain the standardized scores:

Z = (x - μ) / σ ; (6.1605 - 6.35) / 2.31 = - 0.082

P(Z < - 0.082) = 0.46732 (Z probability calculator)

(6.757 - 6.35) / 2.31 = 0.176

P(Z < 0.176) = 0.56985 (Z probability calculator)

P(Z < 0.176) -P(Z < - 0.082)

0.56985 - 0.46732 = 0.10253

For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757) ; n = 17

Obtain the standardized scores:

Z = (x - μ) / σ/sqrt(n) ; (6.1605 - 6.35) / 2.31/sqrt(17) = - 0.338

P(Z < - 0.338) = 0.36768 (Z probability calculator)

(6.757 - 6.35) / 2.31/sqrt(17) = 0.726

P(Z < 0.726) = 0.76608 (Z probability calculator)

P(Z < 0.726) -P(Z < - 0.338)

0.76608 - 0.36768 = 0.3984

8 0

3 years ago

Find the value of 15c1

Natali [406]

Answer:

The simple answer is 15 only

8 0

3 years ago

Is it possible to have a triangle such that none of the exterior angles is obtuse? Please help and explain

PolarNik [594]

Answer: No, it is not possible

A triangle can only have 1 obtuse interior angle, leaving the exterior angle next to it to be acute. For example, if you have an interior angle of 120 (obtuse) then the adjacent exterior angle is 60 (acute)

The other two interior angles must be acute if you go with 1 obtuse angle, which leaves the corresponding exterior angles to be obtuse. If you wanted the exterior angles to be all acute, then you would need 3 obtuse interior angles, but that is not possible.

Why isn't it possible to have 3 obtuse angles? Consider a triangle with interior angles A, B, C. The three angles must add to 180

A+B+C = 180

If A,B,C were all larger than 90, then

A > 90

B > 90

C > 90

A+B+C > 90+90+90

A+B+C > 270

but that contradicts A+B+C being equal to 180

6 0

4 years ago

Write the slope-intercept form of the equation of the line through the given point with the given slope

Troyanec [42]

Answer:

y = M X + B

Step-by-step explanation:

y - y1 = m (x - x1)

x1 = 2

y1 = 5

m = 1/7

y - 5 = (1/7) (x - 2)

4 0

2 years ago