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3 years ago

Find the length of the hypotenuse? 11 cm 60°

Mathematics

2 answers:

vesna_86 [32]3 years ago

8 0

Answer:

19.7ft

Step-by-step explanation:

i just know

Bogdan [553]3 years ago

5 0

Answer: x=22.0 (nearest tenth)

Step-by-step explanation:

For this question you have to find out whether you are using Sin, Cos, Tan.

To which one you are using you can use SOH CAH TOA to help you.

SOH- The 'S' is for Sin and then the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH- The 'C' is for Cos, then the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA- The 'T' is for Tan, the 'O' and the 'A' is for Opposite over Adjacent.

Because we have the Adjacent (angle next to 60°) and the Hypotenuse we would be using Cos.

So first you would write:

Cos 60=11/x

Then we would have to do the inverse to 'undo' the equation to get x on it's own. This would then look like:

x Cos 60=11

Then we do the inverse again:

x=11/Cos 60

so, x=22.0 (to the nearest tenth)

Hope this helps :)

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The population, P(t), of China, in billions, can be approximated by1 P(t)=1.394(1.006)t, where t is the number of years since th

vitfil [10]

Answer:

At the start of 2014, the population was growing at 8.34 million people per year.

At the start of 2015, the population was growing at 8.39 million people per year.

Step-by-step explanation:

To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.

The derivative shows by how much the function (the population, in this case) is changing when the variable you're deriving with respect to (time) increases one unit (one year).

We know that the population, P(t), of China, in billions, can be approximated by $P(t)=1.394(1.006)^t$

To find the derivative you need to:

$\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=\\\\\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\\\\1.394\frac{d}{dt}\left(1.006^t\right)\\\\\mathrm{Apply\:the\:derivative\:exponent\:rule}:\quad \frac{d}{dx}\left(a^x\right)=a^x\ln \left(a\right)\\\\1.394\cdot \:1.006^t\ln \left(1.006\right)\\\\\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=(1.394\cdot \ln \left(1.006\right))\cdot 1.006^t$

To find the population growing at the start of 2014 we say t = 0

$P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(0)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^0\\P(0)' = 0.00833901 \:Billion/year$

To find the population growing at the start of 2015 we say t = 1

$P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(1)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^1\\P(1)' = 0.00838904 \:Billion/year$

To convert billion to million you multiple by 1000

$P(0)' = 0.00833901 \:Billion/year \cdot 1000 = 8.34 \:Million/year \\P(1)' = 0.00838904 \:Billion/year \cdot 1000 = 8.39 \:Million/year$

6 0

3 years ago

(2)/(3) =( 4)/( 3+x) help give brainliest if correct and explanation please

Juli2301 [7.4K]

Answer:

(2)/(3) =( 4)/( 3+x)

Cross multiply

2*(3+x)= 4*3

Solve bracket

6+2x=12

Subtract 6 from both sides

2x=6

Divide both sides by 2

x=3

Hope it helps :-)

7 0

3 years ago

Read 2 more answers

The area of a circle is 36/pi cm^2 What is the radius of the circle?

Lady bird [3.3K]

Answer:

the radius of the circle is 6cm

Step-by-step explanation:

the area of a circle is given to be = 36πcm²

radius of the circle = ?

to find the radius of the circle lets start by applying the formula for finding the area of a circle.

area of a circle = πr²

36πcm² = πr²

36π = πr²

divide both sides by π

36π/π = πr²/π

36 = r²

to get the value of r we are going to look for a way of getting rid of the square on "r" by squaring 36

r² = 36

r =√36

r = 6cm

therefore the radius of the circle is 6cm

5 0

3 years ago

A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes: 3 4 5 2 7 1 3 7 2 6 2 1 7 3

Greeley [361]

The prime numbers on the dice are 1,2,3,5 and 7 , the theoretical probability is
$\frac{5}{8}$ , which is 62.5%, the number of prime numbers in the outcome is 15, so the experimental probability is $\frac{3}{4}$ , which is 75%, the difference between the experimental probability and the <span>theoretical probability is 12.5%.</span>

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3 years ago

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Please help if u get all 3 right ill put u as brainiest!

scoray [572]

Answer: 13

Step-by-step explanation: Alright with the median you take all the numbers "11, 20, 17, 8, 8, 9, 20, 13, 21" and put them in numerical order. "8, 8, 9, 11, 13, 17, 20, 20, 21" Then the middle one is the median, since there are 9 numbers you take the fifth one. In this case it is 13. (Only knew the first one since I have no idea what they mean by quartiles)

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3 years ago