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3 years ago

Find the slope of the line

Mathematics

1 answer:

alekssr [168]3 years ago

3 0

Answer:

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Step-by-step explanation:

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A toxic radioactive substance with the density of 4 mg/cm² is detected in the been detected in the ventilating ducts that was us

Kruka [31]

The formula for half-life is:

$A = P(0.5)^{t/h}$

A is the amount remaining, P is the initial amount, t is the time that has passed, and h is the half-life of the substance. Plug in the values that you know and solve:

$4 = P(0.5)^{35/20} \\ \\ 4 = P(0.5)^{1.75} \\ \\ P = \frac{4}{0.5^{1.75}} \\ \\ P \approx 13.4543426441$

Rounded to the nearest whole number, the density of the substance was about 13mg / cm².

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3 years ago

In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.

Step2247 [10]

Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

To find:

The measure of side PQ.

Solution:

In ΔOPQ,

$m\angle O+m\angle P+m\angle Q=180^\circ$ [Angle sum property]

$26^\circ+m\angle P+90^\circ=180^\circ$

$m\angle P+116^\circ=180^\circ$

$m\angle P=180^\circ -116^\circ$

$m\angle P=64^\circ$

According to Law of Sines, we get

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Using the Law of Sines, we get

$\dfrac{p}{\sin P}=\dfrac{o}{\sin O}$

$\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}$

Substituting the given values, we get

$\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}$

$\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}$

$\dfrac{4.9}{0.89879}\times 0.43837=PQ$

$2.38989=PQ$

Approximate the value to the nearest tenth of a foot.

$PQ\approx 2.4$

Therefore, the length of PQ is 2.4 ft.

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3 years ago

Alexia has decided to paint one of her walls as an accent wall. She lives in an older house, with

jek_recluse [69]

Can you post the picture or the wall shape?

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3 years ago

Convert 2.25 into decimal form

Anna007 [38]

It is 0.0225 because percentage means 'out of 100 100 '. Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there are 2 2 numbers to the right of the decimal point, move the decimal point 2 2 places to the right.

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3 years ago

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Describe how you would graph 2x+3y=6

8_murik_8 [283]

Answer:

First get y by itself. (y=-2/3x +2). The y-intercept is at 2 and the slope is -2/3 so starting at (0,2) you would go down two and right three and continue doing that to create your graph.

Step-by-step explanation:

Desmos is always a good option for checking your graphs :)

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3 years ago