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3 years ago

Please help me!

Mathematics

1 answer:

marusya05 [52]3 years ago

8 0

Answer:

Step-by-step explanation:

Nice summary problem.

<AEC

AEC = 360 - 243.5 = 116.5
The number of degrees in 1 rotation of a circle = 360o. You have accounted for 243.5 degrees. What is left over is the answer.

<EAD and <ECD

Both of these are tangents to a circle. Tangents meet radii at 90 degree angles.

<EAD = <ECD = 90 degrees

<ABC

<ABC is 1/2 the central angle. The Central angle is <AEC

< AEC = 116.5
<ABC = 1/2 * 116.5
<ABC = 58.25

<ADC

There are 2 ways of doing this. You should know both of them.

One

All quadrilaterals = 360 degrees. You know three of the angles. You should be able to find ADC

<ADC + 90 + 90 + 116.5 = 360 Add the four angles together.
<ADC + 296.5 = 360 Combine terms on the left
<ADC = 360 - 296.5 Subtract 238.25 from both sides
<ADC = 63.5 Answer

Method Two

<ADC = 1/2 (major Arc - Minor Arc) This formula is fundamental to circle / tangent properties. The Major arc is the larger of the two parts of the circumference of a circle. The Minor arc is the smaller.

<ADC = 1/2(243.5 - 116.5)
<ADC = 1/2(127)
<ADC = 63.5

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Answer:

W = 13 meters, L = 22 meters

Step-by-step explanation:

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2 years ago

A sleep time of 15.9 hours per day for a newborn baby is at the 10h percentile of the distribution of sleep times for all newbor

Step2247 [10]

The mean time in hours per day for newborn babies is 16.5 hours ⇒ D

Step-by-step explanation:

A sleep time of 15.9 hours per day for a newborn baby is at the 10th

percentile of the distribution of sleep times for all newborn babies

Assuming the distribution is normal with a standard deviation of

0.5 hour

To find the mean time let us do that

1. Use the normal distribution table to find the corresponding z-score

for 10th percentile

2. Use the rule μ = x - zσ, where μ is the mean, σ is the standard

deviation and x is the score

3. Substitute the values of x, σ and z in the rule to find μ

Look to the normal distribution table to find z-score that equivalent

to the area = 10/100 = 0.1 (10th percentile)

∵ z-score = -1.28

∵ σ = 0.5 hour

∵ x = 15.9

∵ μ = x - zσ

- Substitute the values in the rule

∴ μ = 15.9 - (-1.28)(0.5)

∴ μ = 15.9 + 0.64

∴ μ = 16.54 ≅ 16.5 hours

The mean time in hours per day for newborn babies is 16.5 hours

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6 0

3 years ago

What is the derivative of y with respect to x if y = 2/X4

zepelin [54]

You're correct, the answer is C.

Given any function of the form $y=x^n$ , then the derivative of y with respect to x ( $\frac{dy}{dx}$ ) is written as:
$\frac{dy}{dx}=nx^n^-^1$

In which $n$ is any constant, this is called the power rule for differentiation.

For this example we have $y= \frac{2}{x^4}$ , first lets get rid of the quotient and write the expression in the form $y=x^n$ :
$y= \frac{2}{x^4} =2x^-^4$

Now we can directly apply the rule stated at the beginning (in which $n=-4$ ):
$\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}$

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).

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3 years ago

In the drawing below, line n is a transversal that intersects two parallel lines. What is the measure of Angle 4?

4vir4ik [10]

Answer:

140°

Step-by-step explanation:

<3 = 40 because they are vertical angles

<3 +<4 = 180 because they are same side interior angles

40 + <4 = 180

Subtract 40 from each side

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3 years ago

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natima [27]

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3 years ago

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