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3 years ago

DONT UNDERSTAND !!!!!

Mathematics

1 answer:

Vlad [161]3 years ago

8 0

Answer:

the answer is >

Step-by-step explanation:

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There are 32 patients in a waiting room, and 8 of them are children. What is the child to adult ratio (expressed in the lowest t

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Step-by-step explanation:

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3 years ago

What are the answers?

Leya [2.2K]

2.5m is one of them/

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3 years ago

Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart. A cable that is stretched fr

Andreyy89

Answer:

Step-by-step explanation:

Given

height of two Poles are 60 and 80 ft

Distance between them is 100 ft

Let x be the distance of Pole of ht 80 ft from Point of stretch

thus length of rope is given by

$L=L_1+L_2$

$L_1=\sqrt{80^2+x^2}$

$L_2=\sqrt{60^2+(100-x)^2}$

$L=\sqrt{80^2+x^2}+\sqrt{60^2+(100-x)^2}$

differentiate w.r.t x we get

$\frac{\mathrm{d} L}{\mathrm{d} x}=\frac{2x}{2\sqrt{80^2+x^2}}-\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}$

Put $\frac{\mathrm{d} L}{\mathrm{d} x}=0$ to get minimum value

$\frac{2x}{2\sqrt{80^2+x^2}}=\frac{2\left ( 100-x\right )}{\sqrt{60^2+\left ( 100-2x\right )^2}}$

squaring

$x^2\left ( (100-x)^2+60^2\right )=(100-x)^2(80^2+x^2)$

Rearranging

$28x^2-1800x+640000=0$

$x=\frac{400}{7}$

thus $L_1=98.312 ft$

$L_2=73.73 ft$

$L=172.04 ft$

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3 years ago

Jaylen’s beta fish tank holds 4 1/2 gallons of water. It takes him 1 7/8 minutes to fill it. What is the flow rate of the water

tester [92]

Answer:

12/5

Step-by-step explanation:

His fish tank is 4 1/2 gallons of water. It takes him 1 7/8 minutes to fill it. So you need to find out how many gallons you can pour in 1 minute. You can eliminate A because he is filling more than 1 gallon per minute. You can divide 4.5 (4 1/2) by 1.875 (1 7/8). You get 2.4. Convert it back to a fraction, and you get 2 4/10. Simplify the fraction 2/5. Now convert it to an improper fraction. 12/5.

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3 years ago

Find the angle [OA] makes with the positive x-axis if the x-coordinate of the point A on the unit circle is 0.222

EastWind [94]

By using the concepts of unit circle and trigonometric functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.

<h3>How to find an angle in an unit circle</h3>

Unit circles are circles with radius of 1 and centered at the origin of a Cartesian plane, which are used to determine angles and trigonometric functions related to them. If we use rectangular coordinate system and the definition of the tangent function, we find that the angle OA is equal to:

$\tan \theta = \frac{\sqrt{1 - x^{2}}}{x}$

$\tan \theta = \frac{\sqrt{1-0.222^{2}}}{0.222}$

tan θ ≈ 77.173°

By using the concepts of unit circle and trigonometric functions, we find that the angle OA, whose x-coordinate is 0.222, has a measure of approximately 77.173°.

To learn more on unit circles: brainly.com/question/12100731

#SPJ1

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2 years ago