if the sum of interior angles of polygon is 1800

Answer:

B.

Step-by-step explanation:

the area of a triangle is

Area = baseline × height / 2

the baseline can be any of the 3 sides.

the height is then the perpendicular connection from the corner point opposite of the chosen line to the chosen line.

in this example the easiest approach would be to pick (x1,y1) to (x2,y1) as baseline, and the height would then be the piece of the y-axis from (0,0) to the baseline.

so, how long is the baseline ?

we need to calculate the difference between the coordinates of both corner points.

we have here an easy case, as both points have the same y value, so we only need to look at the difference in x.

baseline = x2 - x1

and the height is here simply (because of the special case) the difference of the baseline from (0,0) on the y-axis

height = y1

therefore, the area of the triangle is

Area = (x2-x1) × y1 / 2 = 1/2 × y1(x2-x1) = solution B

if the corner points and height are not so nicely aligned with the coordinate axis, then we need to calculate the distances by using Pythagoras to determine the "Hypotenuse" of the triangles created by the differences of the individual coordinates.

in our example

((x1,y1) to (x2,y1))² = (x2-x1)² + (y1-y1)² = (x2-x1)² + 0 = (x2-x1)²

and therefore

(x1,y1) to (x2,y1) = (x2-x1)

and we are back to our original solution.

Answer:

37

Step-by-step explanation:

+ 5 in the y column every row, so 8 would be 37

Answer:

37?

Step-by-step explanation:

2  7

3  12

4  17

5  22

6  27

7  32

8  37

Answer:what were the anwsers

Step-by-step explanation:

Answer:

A. JK = 12, JK is parallel to LM

D. JK = 8, JM = 12

Step-by-step explanation:

Based on the given figure above, the additional facts that would guarantee that JKLM is a parallelogram are answers A and D.

By definition, a parallelogram is a figure that has opposite sides parallel or it has two pairs of sides that are parallel.

The additional facts that would guarantee that JKLM is a parallelogram are

JK = 8 and JM = 12.

Option B is the correct answer.

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We  have,

In a parallelogram,

The opposite sides are parallel and so the sides are also equal.

Now,

KL and JM are parallel.

So,

KL = JM = 12

And,

KJ and LM are also parallel.

So,

KJ = LM = 8

Thus,

The additional facts that would guarantee that JKLM is a parallelogram are

JK = 8 and JM = 12.

Learn more about parallelograms here:

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Answer:

C

Step-by-step explanation:

Both models represent half of the gymnasium, its just that one is vertical and one is horizontal. Both are basically correct. C is the right answer since it says both models are correct. Each class also does occupy 1/12 of the gymnasium since they get 1/6 of 1/2 of the gymnasium. Of means multiply so 1/6 * 1/2 = 1/12.

Hello friend how are you♥♥♥♥♥♥

Answer:

b

1058.4 hope helpful answer

Answer:

$82.875

Step-by-step explanation:

From the given information:

Assume F is used to denote the two cards;

If there are four aces among 52 playing cards, the chance of selecting the first ace is =  [tex]\dfrac{4}{52}[/tex]

After selecting the first ace, we have only 3 aces remaining and a total of 51 playing cards. Thus, the chance of selecting the second ace will be [tex]\dfrac{3}{51}[/tex]

By applying product rule, we can determine the chance of selecting two aces without replacement as follows:

i.e.

[tex]P(F=22)=\dfrac{4}{52}\times \dfrac{3}{51}[/tex]

[tex]= \dfrac{1}{221}[/tex]

The probability of getting one ace, one face is:

[tex]P(F=21) =( \dfrac{4}{52}\times \dfrac{12}{51})+( \dfrac{12}{52}\times \dfrac{4}{51})[/tex]

[tex]P(F=21) = \dfrac{4}{221}\times\dfrac{4}{221}[/tex]

[tex]P(F=21) = \dfrac{8}{221}[/tex]

Since there are 4 aces, 4 nine, and 12 faces in a card deck

The probability of getting one ace, one nine, or two faces now will be:

[tex]P(F=20) = (\dfrac{4}{52} \times \dfrac{4}{51})+ (\dfrac{4}{52} \times \dfrac{4}{51}) + (\dfrac{12}{52} \times \dfrac{11}{51})[/tex]

[tex]P(F=20) = (\dfrac{53}{663} )[/tex]

Now, the probability  of at least 20 now is:

[tex]\text{P(F at least 20)} = \dfrac{1}{221}+\dfrac{8}{221}+\dfrac{53}{663}[/tex]

[tex]\text{P(F at least 20)} = \dfrac{80}{663}[/tex]

If H represents the amount of prize of the expected winnings:

Then;

[tex](H - 10) (\dfrac{80}{663}) + (-10)(\dfrac{663-80}{663}) = 0[/tex]

[tex]\dfrac{80(H-10)}{663}-\dfrac{5830}{663}=0[/tex]

[tex]\dfrac{80(H-10)}{663}=\dfrac{5830}{663}[/tex]

80H - 800 = 5830

80H = 5830 +800

80H = 6630

H = 6630/80

H = $82.875

The prize should be $82.875 to make a winning positive.

Answer:

m= -2 -3

Step-by-step explanation:

Answer:

wait ill work this out for you

Step-by-step explanation:

Answer:

y <x+4

y >-3x - 2

ln(2e/x)

ln2+ ln e -ln x

ln 2 + 1 - ln x

OPTION D is the correct answer

Answer:

Step-by-step explanation:

Begin by dividing both sides by -4 to get:

[tex]\frac{\sqrt{2} }{2}=sin2\theta[/tex] and then take the inverse sin of both sides to get

[tex]sin^{-1}(\frac{\sqrt{2} }{2})=2\theta[/tex] (the inverse sin undoes the sin on the right). Now we need to look on our unit circle to find the angles where [tex]sin(\frac{\sqrt{2} }{2})[/tex] is positive. There are 2 places. Sin is positive in both QI and QII. The angles are

[tex]\frac{\pi}{4},\frac{3\pi}{4}[/tex]. Therefore, our 2 equations are

[tex]\frac{\pi}{4}=2\theta[/tex]  and  [tex]\frac{3\pi}{4}=2\theta[/tex].  Solving the first equation:

[tex]\theta=\frac{\pi}{8}[/tex]

and the second equation:

[tex]\theta=\frac{3\pi}{8}[/tex]

Answer:

9x² + 6xy + y²

Step-by-step explanation:

(a + b)² =  a² + 2ab + b²

a  = 3x

b = y

(3x +y)² = (3x)² + 2*3x*y + y²

            = 9x² + 6xy + y²

(3x)² = 3²*x² = 3*3*x² = 9x²

Answer:

The quantifier is universal.

Step-by-step explanation:

In logic, a universal quantifier is one in which it is made clear that the stated pattern holds in all cases for the stated quantity; whereas an existential quantifier establishes that the stated quantity is a minimum floor in which the stated pattern exists.

Thus, given that the guideline says that no man can integrate a sisterhood, this implies that the guideline applies in all cases for the stated quantity, thus it is a universal quantifier.

Answer:

x = 3

Step-by-step explanation:

(-2 + 40x) + 62° = 180° (adjacent angles are supplementary)

-2 + 40x + 62 = 180

Add like terms

40x + 60 = 180

Subtract 60 from each side

40x + 60 - 60 = 180 - 60

40x = 120

Divide both sides by 40

40x/40 = 120/40

x = 3

Answer:

4.45 m/s

Step-by-step explanation:

Vertical distance, Sy = 5m

The speed of pebble when they hit her window :

Vx = Sx / t

We can obtain t using the relation :

Sy = 1/2 * at²

Where, a = acceleration due to gravity = 9.8m/s²

We can obtain t

5 = 1/2 * 9.8 * t²

5 = 4.9t²

t = √5/4.9

t = 1.01 seconds

Hence,

Speed, Vx = Sx / t

Vx = 4.5 / 1.01

Vx = 4.45 m/s

Answer:

(fog) (x) = 8*(2x+1)=16x+8

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

just use a calculator

Answer:

5

Step-by-step explanation:

2

Answer:

I don't know

Step-by-step explanation:

the answer is 0.2

The average of x and y is 03

The average of the three numbers is given as:

Average = 10

This means that:

(x + y + 24)/3 = 10

Multiply both sides by 3

x + y + 24 = 30

Subtract 24 from both sides

x + y = 6

Divide by 2

(x + y) = 3

Hence, the average of x and y is 03

Read more about average and mean at:

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Answer:

a) 48.4%

b) 51.6%

c) 12.3%

d) i) 93.0%  ii) 3.0%

Step-by-step explanation:

a)

P(fp) = probability of false positive result

P(fp) = 0.07

P(fp = 0) = (1 - 0.07)¹⁰

P(fp = 0) = 0.4839... ⇒ 48.4%

b)

P(fp = 1) = 1 - 0.4839...

P(fp = 1) = 0.516... ⇒ 51.6%

c)

P(fp = 2) = 10C2(0.07)²(0.93)⁸

P(fp = 2) = 0.123... ⇒ 12.3%

d)

P(fn) = probability of false negative

P(b) = probability a randomly selected woman has breast cancer  

P(fn) = 0.03

P(b) = 0.0003

If she has a positive test, it is either a true positive, meaning she actually has breast cancer, or a false positive, meaning she doesn't;

If P(fp) = 0.07, then the probability of a true positive is 0.93 or 93%

ii)

If she has a negative test, a true negative means she doesn't have breast cancer, and a false negative means she does have breast cancer;

The probability of a false negative is 0.03 or 3%

(I'm not entirely sure about part d, but I've answered as I've understood it according to my logic, they seem to be somewhat trick questions unless I've incorrectly understood the questions)

Answer:

Supplementary is your answer

Answer:

I believe it is 761 is the cost the roofer will charge.

Step-by-step explanation:

First: Multiply 32 with 19.25 (standing for h), which equals to 616.

Second: Add 616 with 145, which adds up to 761.

Answer:

Step-by-step explanation:

Dice, cards, spinners and the like are interactive and engaging math aids to get children involved in learning about probability, chance, number patterns and statistics.

Answer:

2, 367

Step-by-step explanation:

142,020 / 5 = 28, 404

28, 404 / 12 = 2, 367

Answer:

Confounding variable

Step-by-step explanation:

Confounding variables also known as lurking or third variable are varibeks which causes an unwanted or spurious association between an independent and dependent variable. This Confounding variable usually has a relationship between not the independent and dependent variable and if not adequately managed or corrected for, they may cause a relationship which is not intended thereby interfering with the outcome of our research. Such is the correlation between ice cream sale and murder rate.

Answer:

61.2%

Step-by-step explanation:

Let's start by finding the total area of the circle

it says that the radius is 4 so the total area is 16π

Then let's find the area of the traingle

The hieght is 6.5 and the base is 6

.5*6.5*6=19.5

Let's then find the white area

16π-19.5=30.765

Finally we just have to do (30.765/16π)= 61.2%

Answer:

21

Step-by-step explanation:

The smallest number that can go into both 3 and 7 as our denominators is 21. This can be worked about by multiplying them together.

(FYI: In some cases, if the product is even, it may not always work to multiply them together)

Answer:

21

hope this helps

have a good day :)

Step-by-step explanation:

3 multiples are 3, 6, 9, 12, 15, 18, 21, 24

7 multiples are 7, 14, 21, 28

so would need to change both denominators to 21 and multiple 7 and to 1/3 to get 7/21 and 3 to 4/7 to get 12/21