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3 years ago

Find the missing side x

Mathematics

1 answer:

Artist 52 [7]3 years ago

8 0

Answer:

x = 21.52

Step-by-step explanation:

Given:

hypotenuse (That has to be found out)

Side adjacent to the given angle

and an angle,

Hence we can say that Cos ratio would be used;

Cos(28) = 19 / x

x = 19 / Cos(28)

x = 21.52

Hope this helps!

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Help pls I dont know

liubo4ka [24]

14 and -18 would be less than or equal too when the -y makes them -14 and 18 it is still less than 19

5 0

2 years ago

Read 2 more answers

Find the image of (3,8) after a reflection over the origin.

Oksana_A [137]

Answer:

(-3, -8) I think

Step-by-step explanation

over the origin mean it would be going diagonally across (0,0). Not directly down (over the x-axis/ across the y-axis), nor to the side (over y-axis/ across the x-axis

3 0

2 years ago

A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while

bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = Number of bottles in the sample that are not within specification.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....$

where, n = number of trials (samples) taken = 12 bottles

x = number of success = 2 or more bottles

p = probabilitiy of success which in our question is probability that

bottles are not within specification, i.e. p = 0.01

So, X ~ Binom (n = 12, p = 0.01)

Now, the probability that the assembly line will be shut down is given by = P(X $\geq$ 2)

P(X $\geq$ 2) = 1 - P(X = 0) - P(X = 1)

= $1-\binom{12}{0} \times 0.01^{0}\times (1-0.01)^{12-0}-\binom{12}{1} \times 0.01^{1}\times (1-0.01)^{12-1}$

= $1-(1 \times 1\times 0.99^{12})-(12 \times 0.01^{1}\times 0.99^{11})$

= 0.00617

8 0

3 years ago

Desiree writes songs for her band her first song is 3 1/2 minutes long her second song is one 1/2 times as long as her first son

vesna_86 [32]

Answer:Number of minutes of second Song = 5 1/4 minutes

Number of minutes of third Song =3 1/2 minutes

Step-by-step explanation:

Number of minutes of First Song = 3 1/2 minutes

Number of minutes of second Song = one 1/2 times as long as her first

= 1 1/2 X 3 1/2 minutes

3/2 X 7/2

21/4 = 5 1/4 minutes

Number of minutes of third Song = 2/3 times as long as her second song

2/ 3 x 5 1/4

= 2/3 x 21/4 =42/12

Dividing the numerator and denominator by 3 to reduce the fraction

42/ 12 / 3/3 = 14/4

14/4 = 3 2/4 = 3 1/2 minutes

5 0

3 years ago

Aron wrote the function f(x)=25x-15 find the amount of money he would make after washing x cars. Select all of the values below

hram777 [196]

Answer:

A.. 2

C.. 5

E.. 10

Step-by-step explanation:

If x represents the number of cars that wash Aron, then the domain of x must contain only integers and positive numbers (natural numbers)

This, because Aron can not wash -3 cars, it would be absurd then for x to be a negative number.

In the same way Aron can not wash 1.29 cars. Or washed 1 car or washed 2, it is not consistent in this case to say that washed a car and a half, for example.

Therefore the correct answer is the options.

A.. 2

C.. 5

E.. 10

4 0

3 years ago