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3 years ago

What is cot(< a)?Reduce fractional answers to lowest terms.

Mathematics

1 answer:

jeka943 years ago

5 0

Answer:

The value of cot (∠A) = 3/4

Step-by-step explanation:

Given the angle ∠A of a right-angled triangle

The opposite of ∠A = 4

The adjacent of ∠A = 3

We know that the trigonometric ratio

cot (∠A) = adjacent / opposite

= 3/4

Thus, the value of cot (∠A) = 3/4

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(PLZ NEED HELP) The doubling time of a bacterial population is 10 minutes. After 80 minutes, the bacterial population was 80000.

kykrilka [37]

Answer:

Initial population = 313

Population after 5 hours = $3.36 \times 10^{11}$

Step-by-step explanation:

Let initial population = $x$

It is given that population gets doubled every 10 minutes.

Population after 10 minutes = $2x$

Population after 20 minutes = $2^{2} x$

Population after 80 minutes = $2^{8} x$ and it is given as 80000.

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Population after 300 minutes =

$2^{30} x\\\Rightarrow 2^{30} \times 313\\\Rightarrow 3.36 \times 10^{11}$

So, the <em>answers </em>are:

Initial population = 313

Population after 5 hours = $3.36 \times 10^{11}$

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3 years ago

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3 years ago

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The endpoints of a line segment AR are A(8,-2) and R(-4,1). What is the length of the AR?

Anestetic [448]

Answer:

The length of the AR is $3\sqrt{17}$ or $12.4$ units.

Step-by-step explanation:

Given the endpoints of a line segment AR

A(8, -2)

R(-4, 1)

We can calculate the length of AR using the formula

$L_{AB}=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

In our case,

(x₁, y₁) = (8, -2)

(x₂, y₂) = (-4, 1)

Substituting (x₁, y₁) = (8, -2) and (x₂, y₂) = (-4, 1) in the formula

$L_{AB}=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-4-8\right)^2+\left(1-\left(-2\right)\right)^2}$

$=\sqrt{\left(-4-8\right)^2+\left(1+2\right)^2}$ ∵ Apply rule: $-\left(-a\right)=a$

$=\sqrt{12^2+3^2}$

$=\sqrt{144+9}$

$=\sqrt{153}$

$=\sqrt{9\times 17}$

$=\sqrt{17}\sqrt{3^2}$ Apply radical rule: $\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

$=3\sqrt{17}$ Apply radical rule: $\sqrt[n]{a^n}=a$

$=12.4$

Therefore, the length of the AR is $3\sqrt{17}$ or $12.4$ units.

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gtnhenbr [62]

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3 years ago

Given that y varies inversely as x, and y = 8 when x = 3, what is the value of y when x = 12?

NeTakaya

Answer:

y = 2 when x =12

Step-by-step explanation:

y = k/x ..............as y varies inversely as x

8 = k/3

k = 8 * 3

k = 24

So,

y = k/x

y = 24/12

y = 2

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3 years ago

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What is cot(< a)?Reduce fractional answers to lowest terms.​

What is cot(< a)?Reduce fractional answers to lowest terms.