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3 years ago

The definition of a circle

Mathematics

2 answers:

crimeas [40]3 years ago

6 0

Answer:

a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)

Explanation:

Oxford dictionary definition

Andrews [41]3 years ago

5 0

Step-by-step explanation:

a circle is a shape consisting of all points in a plane that are at a given distance from a given point the center

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24cd, 9cd unlike or like terms

Schach [20]

They are like terms. They can be added together or one can be subtracted from the other. The exponents of the variables are the same in both terms.<span />

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3 years ago

In the diagram abc=adb=90, ad=p and dc=q. Use similar triangles to show that x2=pz<br> plzz anyoneee

kramer

Answer:

By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that $x^{2} =pz$

Step-by-step explanation:

Given that ∠ABC=∠ADC, AD=p and DC=q.

Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles

and given ∠ABC=∠ADB=90°

Hence using AA postulate, ΔABC ≈ ΔADB.

Now we will equate respective side ratios in both triangles.

$\frac{AB}{AC}= \frac{AD}{AB}=\frac{BD}{BC}$

Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.

$\frac{x}{z}= \frac{p}{x}$

Cross multiply

$x^{2}=pz$

Hence proved.

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4 years ago

Scores from an exam are normally distributed with a mean of 85 and a standard deviation of 5. Suppose 188 students take the exam

charle [14.2K]

The mean is $\mu=85$ and standard deviation is $\sigma=5$ . Then the variable $X\sim N(85,5)$ .

Use substitution $Z=\dfrac{X-\mu}{\sigma}=\dfrac{X-85}{5}$ , then the variable $Z\sim N(0,1)$ .

The probability $Pr(X>80)$ can be calculated in the following way:

for X=80, $Z=\dfrac{80-85}{5} =-1$ and $Pr(X>80)=Pr(Z>-1)$ . From the diagram $Pr(Z>-1)=0.34+0.34+0.135+0.025=0.84$ .

Conclusion: if 188 students take the exam, then 188·0.84=157.92 (157) would receive a score above 80

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3 years ago

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Vaselesa [24]

Answer:

Centre (0,0)

Radius √9 = 3

I've attached a graph if the circle with it

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3 years ago

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emmasim [6.3K]

Answer:

Step-by-step explanation:

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2 years ago