**Think about how many TOTAL pieces there will be.

The value of length m is 2.13cm

In trigonometry, the Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

therefore m² = k²+l²+2klCos M

m² = 4.4²+3.1²+ 2× 3.1×4.4cos 150

m² = 19.36+9.61+27.28(-0.8660)

m² = 28.97-23.62

m² = 5.35

m = √5.35

m = 2.31 cm( nearest tenth)

Therefore the measure of length m is 2.31 cm

learn more about cosine rule from

https://brainly.com/question/23720007

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7 × 8 × 8 = 448

and that's it

Answer:

Its b

Step-by-step explanation:

just add it all together :)

Hope this helps :)

Answer:

The 2nd statement

Answer:

2q-10

Step-by-step explanation:

The product of 2 and q is 2q and ten fewer than that 2q-10

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The machine is known to have 99 green balls and 78 red balls.

This means that [tex]p = \frac{99}{99+78} = 0.5593[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.5593[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373[/tex]

a. Calculate the probability of getting more than 61% green balls.

This is 1 subtracted by the pvalue of Z when X = 0.61. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.61 - 0.5593}{0.0373}[/tex]

[tex]Z = 1.36[/tex]

[tex]Z = 1.36[/tex] has a pvalue of 0.9131

1 - 0.9131 = 0.0869

0.0869 = 8.69% probability of getting more than 61% green balls.

Answer:

37

Step-by-step explanation:

If 30 questions is 79% of the test, then you would need to divide 30/0.79(79%), which equals 37 questions in total on the test.

Answer:

95°

Step-by-step explanation:

120° = 25° + y ( exterior angle of a triangle is equal to the sum of two opposite interior angles)

y = 120° - 25°

y = 95°

Hope it will help :)❤

9514 1404 393

Answer:

Step-by-step explanation:

In quadrant II, the standard position angle is found by subtracting the reference angle from 180°.

  180° -68° = 112°

__

In quadrant IV, the standard position angle is found by subtracting the reference angle from 360°.

  360° -75° = 285°

__

In quadrant III, the standard position angle is found by adding 180° to the reference angle.

  180° +22° = 202°

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 300

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

If all terms are negative then the result will come out positive.

Answer:

EG = 7

Step-by-step explanation:

The parallel lines cut sides AB and AC into segments with proportional lengths.

AB/DF = AC/EG

(AD + DF + FB)/DF = AC/EG

(18 + 10 + 12)/10 = 28/EG

40/10 = 28/EG

4 = 28/EG

4EG = 28

EG = 28/4

EG = 7

Answer:

50

Step-by-step explanation:

there are 100 numbers between 100 and 200

50 that are even 50 that are odd

Answer:

137 + 63 = 200

Step-by-step explanation:

Answer:

Don't know if this is right but it should maybe be y= x+3+x+2-x+5 because You cant have a negative in absolute values.

Answer: 6.6667% or 2/30

Answer:

NO.

Step-by-step explanation:

60.5 + 60.5 = 121

Answer:

[tex]x^{2} + 7x + 12[/tex]

Step-by-step explanation:

This is already factored so I assume you meant expand it.

Answer: (-1,2) and (2,2) Make sure to see explanation!

Step-by-step explanation:

Well you need to remember the Y reflection rule!

To reflect over the Y axis you must do this:

Take the points in this case

(1,2) and (-2,2)

And you need to use the equation (x,y) --> (-x,y)

So the new points you NEED TO GRAPH ARE

(-1,2) and (2,2)

Hope this helped!

Answer: (-1,2) and (2,2)

Step-by-step explanation:

reflection over the y axis, take the point (x,y) and change the sign of the X-value (-x,y). When You reflect over the y-axis, the y remains the same.

point (1,2) would become (-1,2) reflected over the Y

and (-2,2) would become (2,2)

Answer:

Step-by-step explanation:

19). Angles measuring 90° and (21x + 6)° are Alternate exterior angles.

     Therefore, 21x + 6 = 90

     2x = 90 - 6

     2x = 84

      x = 42

21). Angles measuring 60° and (8x - 4)° are Alternate interior angles,

      8x - 4 = 60

      8x = 60 + 4

      x = [tex]\frac{64}{8}[/tex]

      x = 8

23). Since, angles measuring (-1 + 14x)° and (12x + 17)° are Alternate exterior angles

    Therefore, (-1 + 14x) = (12x + 17)

     14x - 12x = 17 + 1

     2x = 18

      x = 9

25). Both the angles (x + 96)° and (x + 96)° are consecutive interior angles.

      Therefore, (x + 96)° + (x + 96)° = 180° [Property of consecutive interior angles]

      2x + 192 = 180

      2x = 180 - 192

      2x = -12

       x = -6

       Now measure of (x + 96)° = -6 + 96

                                                = 90°

26). Both the angles (20x + 5)° and (24x - 1)° are consecutive interior angles.

      Therefore, (20x + 5)° + (24x - 1)° = 180°

       44x + 4 = 180

       44x = 176

        x = 4

Answer:

[tex]Number = 39.80[/tex]

Step-by-step explanation:

Given

[tex]Number = 39.79949748[/tex]

Required

Approximate (to the nearest 100th)

This means that, we approximate at the second digit after the decimal.

So:

i.e,

Number = 39.79  [Begin  approximation] 949748

The first digit after [Begin approximation] is then approximated using the following rule:

[tex]0 - 4 \approx 0[/tex]

[tex]5 - 9 \approx 1\\[/tex]

Since 9 falls in [tex]5 - 9 \approx 1\\[/tex] category, the number becomes:

[tex]Number = 39.[79+1][/tex]

[tex]Number = 39.80[/tex]

Answer:

Actual area of the field = l×b

=100×531/3 sq. yards

=100×177 sq. yards

= 17700 sq. yards

Step-by-step explanation:

pls mark brainliest

Answer:

12/20

Step-by-step explanation:

Answer:

||w|| = 6

Step-by-step explanation:

||w|| = modulus or magnitude of vector w

Since formula to get the modulus of any vector = [tex]\sqrt{\text{(x-component)}^2+\text{(y-component)}^2}[/tex]

Vector w = <-6, 0>

x-component of vector w = (-6)

y-component of vector w = 0

Therefore, ||w|| = [tex]\sqrt{(-6)^2)+(0)^2}[/tex]

                         = 6

Answer:

the largest angle is 150°

Answer:

6

Step-by-step explanation:

Adding the two polynomials gives

(x^3 + 3x^2 + 4x - 7) + (-7x^4 +5x^3 + x^2 - 7) =

-7x^4 + (x^3 + 5x^3) + (3x^2 + x^2) + 4x + (-7-7) =

- 7x^4 + 6x^3 + 4x^2 + 4x -14

The x^3 term is 6x^3, so the desired coefficient is 6.

Answer:

100

Step-by-step explanation:

20+20+20+20+20=100

Hope this helps

Please give me brailiest

Answer:

Answer is 400:600,6:9,66:99

Step-by-step explanation:

I hope it's helpful!

Answer:

8:12, 16:24 , 32:48

Step-by-step explanation:

'

!