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2 years ago

5

in order to fence a garden the Rowan family needs 64 feet of lumber the garden at the careers house will need to be 150% larger

how many feet of lumber will they need

1 answer:

jeka942 years ago

3 0

Answer:

96

Step-by-step explanation:

you have to set up a proportion

64/100 equals to x/150

then you would do 150 times 64 then divided it by 100 to get the answer of 96

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Show Work Please Thank You

Misha Larkins [42]

Answer:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

Step-by-step explanation:

We are given the trigonometric equation of:

$\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}$

Let u = 4x then:

$\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}$

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

$\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}$

Convert u-term back to 4x:

$\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}$

Divide both sides by 4:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.

Therefore:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

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1 year ago

statuscvo [17]

S=θr
10.91=θ5
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3 years ago

Simplify the following expression to simplest form using only positive exponents.

Novosadov [1.4K]

Answer:

$\frac{x^{6} }{4y^{10} }$

Step-by-step explanation:

THIS is the answer if the equation looks like this. $(32x^{-15} y^{25} )^{-2.5}$

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2 years ago

I Need 1,2,3,4,5,6 Help

Nezavi [6.7K]

1 is 4/5=8/10=16/20
2 is 9/2=18/4=3616
3 is 11/12=22/24= 44/48
4 is 6/10=12/20=24/40
5 is 8/6=16/12=32/24
6 is 3/7=6/14=12/142

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2 years ago

Read 2 more answers

To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying a $1 for each five-number s

defon

There are 45 numbers out of which 5 numbers are required to win an enormous sum of money

No of ways in which 5 numbers can be selected out of 45 numbers.

$C_{45}^5=\frac{45!}{40!5!} =1221759$

out of which there is only combination foe contest winning

$P=\frac{1}{1221759}$

When 100 different tickets are bought then

Probability of winning: $\frac{100}{1221759}$

Probably of winning≈0,000082

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P.S. Hello from Russia :^)

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2 years ago