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Fantom [35]
3 years ago
6

Two isosceles triangles are shown above. If b = 180-4a and a=35, What is the value of c?

Mathematics
1 answer:
Ymorist [56]3 years ago
4 0

Answer:

a=35 given

b=40  

c=110

I couldn't complete see c. Please look at the picture to see what I assumed it to be.

Step-by-step explanation:

Hmmm... I guess a and b are not vertical.

We are given b=180-4a and a=35 so b=180-4(35)=180-140=40.

So b=40.

Isosceles triangles always have congruent base angles.  So let's call both of the base angles in the bottom triangle x.

That means x+x+40=180.

We need to solve this for x.

Combine like terms:

2x+40=180

Subtract 40 on both sides:

2x=140

Divide both sides by 2:

x=140/2

Simplify:

x=70

So I'm assuming that c and it's adjacent angle are sitting on a straightedge together which means 70+c=180.

70+c=180

Subtract 70 on both sides:

c=180-70

Simplify:

c=110

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in one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean
VARVARA [1.3K]

Answer:

a=1050 -0.126*218=1022.53

So the value of height that separates the bottom 45% of data from the top 55% is 1022.53.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the energy consumption of a population, and for this case we know the distribution for X is given by:

X \sim N(1050,218)  

Where \mu=1050 and \sigma=218

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.55   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.45 of the area on the left and 0.55 of the area on the right it's z=-0.126. On this case P(Z<-0.126)=0.45 and P(z>-0.126)=0.55

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.126

And if we solve for a we got

a=1050 -0.126*218=1022.53

So the value of height that separates the bottom 45% of data from the top 55% is 1022.53.  

8 0
3 years ago
What is the volume of the composite
vladimir2022 [97]
The sum of the volume of its part
5 0
1 year ago
Given the equation Square root of 8x plus 1 = 5, solve for x and identify if it is an extraneous solution.
Kisachek [45]
Do recall that squaring and the *radical sign* cancel each other out... like so:(\sqrt{a})^{2}= a

When you put it that way, it isn't enough :P
(\sqrt{a})^{2}= a
(\sqrt{8x+1})^{2}=?

so you start with
(\sqrt{8x+1})^{2}= (5)^{2}
8x+1=25 <-- subtract 1 to both sides
8x=24 <- divide 8 to both sides
x= 3

To find out if it's an extraneous solution ask yourself: It mustn't result in a radical that I like to call... 'illegal'. Plug it into the radicand 8x+1 and make sure you get something that is not a negative number.... so, DO you get a negative number when you plug in x = 3 into the radicand?

(extraneous solution is a invalid solution)

x=3 not extraneous


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3 years ago
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slava [35]

Answer:

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cos 62=x/12

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6 0
3 years ago
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Therefor, the answer is p⁴x

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