URGENT!! NEED HELP!! SOLVE FOR THE COS(

Answers

Answer 1

Answer:

Answer:

Coszis28/35

Step-by-step explanation:

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Fourth term of sequence is 216, sixth term 96

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312 I think, hop[e this helps

Choose the true statement.
0-2<-3
O-2» -3
O -2 = -3

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0-2>-3 is the answer, because negative 2 is greater than negative 3.

Work out the height of this cone

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Answer:20 cm

Step-by-step explanation:

Volume of cone=540π

Radius=r=9

Volume of cone=1/3 x π x r^2 x h

540π=1/3 x π x 9^2 x h

540π=1/3 x π x 9 x 9 x h

540π=(1xπx9x9xh)/3

540π=(81πh)/3

540π=27πh

Divide both sides by 27π

540π/27π=(27πh)/27π

20=h

h=20

Height =20 cm

Solve the system of equations below by graphing them with a pencil andpaper. Enter your answer as an ordered pair.
y=-x+ 2
y=-2x+6

Answers

Answer:

x=2 y=0

Step-by-step explanation:

Explanation:

just put y= -x in second equation x comes out to be 2. Then put x=2 y comes out to be 0

A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?Use the function y=13cos(theta) to find the answer

Answers

Answer:

height = 9.19 ft

Step-by-step explanation:

The ladder is resting on a wall. The angle the ladder makes with the floor is 45°. The ladder is 13 ft. The illustration forms a right angle triangle.

The hypotenuse side of the right angle triangle is 13 ft . The opposite side of the right angle triangle is the unknown which is the height off the ground the top of the ladder. Therefore,

Using ratio

sin ∅ = opposite/hypotenuse

sin ∅ = opp/13

sin 45° = opp/13

cross multiply

13 sin 45 = opp

opp = 13 × 0.70710678118

opp = 9.19238815543

height = 9.19 ft

Or

You can use the following base on your equation(y = 13 cos ∅)

The other angle will definitely be 45° since total angle in a triangle is 180°. 180 - 90 - 45 = 45°.

The adjacent side of the triangle will be the unknown side if we use cosine ratio.

cos ∅ = adjacent/hypotenuse

cos 45° = adjacent/13

cross multiply

From your equation you represented adjacent as y therefore,

y = 13 cos 45°

y = 13 × 0.70710678118

y = 9.19238815543

y = 9.19 ft (which is the required height)

The lifetime of a certain type of battery is normally distributed with a mean value of 10 hours and standard deviation of 2 hours. Find the probability that a randomly selected battery has a lifetime greater than 12 hou g

Answers

Answer:

$P(X>12)=P((X-\mu)/(\sigma)>(12-\mu)/(\sigma))=P(Z>(12-10)/(2))=P(z>1)$

And we can find this probability using the complement rule:

$P(z>1)=1-P(z<1)$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(z>1)=1-P(z<1)=1-0.841=0.159$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the lifetime of a certain type of battery of a population, and for this case we know the distribution for X is given by:

$X \sim N(10,2)$