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3 years ago

Tessellations

Mathematics

2 answers:

Black_prince [1.1K]3 years ago

8 0

Answer:

D. (4,3)

Step-by-step explanation:

I calculated it logically

Lera25 [3.4K]3 years ago

6 0

I believe it’s d (4,3) sorry if I’m incorrect though

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Half-life of Po-210 is 140 days. If the initial mass of the sample is 5

Anna35 [415]

Answer:

$0.625kg$

Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass after 420 days

in order to solve so we can consider the half-life formula given by

$\displaystyle f(t) = a {0.5}^{t/T}$

where:

f(t) is the remaining quantity of a substance after time t has elapsed.
a is the initial quantity of this substance.
T is the half-life

since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

$\displaystyle f(420)=5\cdot{0.5}^{420/140}$

reduce fraction:

$\displaystyle f(420)=5\cdot{0.5}^{3}$

By using calculator we acquire:

$\displaystyle f(420)=0.625$

hence, the remaining sample after 420 days is 0.625 kg

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3 years ago

HOW DO I SOLVE THIS PLEASE HELP

LenKa [72]

Answer:

Step-by-step explanation:

Euclide's theorem states that in a right triangle, the square built of the side lenght is equivalent of the rectangle with sides hypotenuse and projection of the same side lenght. In formula, given the measures on the triangle:

$60^2 = (36+x)(36) \rightarrow 3600 = 36(x+36) \rightarrow 100=x+36\\ x=64$

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2 years ago

An object dropped from a height of 600 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t) = 600 − 16t

Anni [7]

given h = 600 - 16t ( add 16t to both sides )

16t + h = 600 ( subtract h from both sides )

16t = 600 - h ( divide both sides by 16 )

t = $\frac{600-h}{16}$

when h = 400

t = $\frac{600-400}{16}$ = $\frac{200}{16}$ = 12.5 seconds

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3 years ago

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Sveta_85 [38]

Answer:

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