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3 years ago

Help I’m so confused

Mathematics

1 answer:

Vinvika [58]3 years ago

5 0

Answer:

The measure of arc AC is $136^o$

Step-by-step explanation:

Notice that angle BAC (whose measure is given as 34 degrees) is an inscribed angle, and according toe the inscribed angle theorem, the measure of an inscribed angle is half the measure of the central angle that subtends the same chord.

Then, the central angle that subtends the cord BC, is twice 34 degrees ( $2\,*\,34^o = 68^o$ )

Then, since they give us also the measure of the arc AB which is $156^o$ , then the measure of arc AC can be estimated as the needed measure to complete $360^o$ as the sum of all three arcs. That is:

$AC + AB+ BC = 360^o\\AC + 156^o+2\,*\,34^o = 360^o\\AC + 156^o+68^o = 360^o\\AC=360^o-156^o-68^o\\AC=136^o$

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dusya [7]

Answer:

On a coordinate plane, triangle A B C has points (4, 4), (7, 8), (10, 4). ... Hence, the scale factor is 2 and one-half( ).

Step-by-step explanation:

The center of dilation is a fixed point in the plane. If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent.

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3 years ago

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3 years ago

a population of size 2000 at time t equals0, where t is measured in years. 1. Suppose Jonesville's population grows by 170 peo

galina1969 [7]

Answer:

1. $a_n=a_1+(n-1)d$

2. $a_n$ $=a_n_-_1+a_n_-_1(0.07)$

Step-by-step explanation:

For case 2 the population grows by 170 per year. Therefore for year t=0 its 2000 and t=1 then the population is 2170 and t=2 population is 2340. We can express the sequence as:

$a_n=a_1+(n-1)d$

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Case two can be define by:

$a_n$

$=a_n_-_1+a_n_-_1(0.07)$

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3 years ago

The number of surface flaws in a plastic roll used for auto interiors follows a Poisson distribution with a mean of 0.05 flaw pe

ElenaW [278]

Answer:

0.6065

Step-by-step explanation:

Probability mass function of probability distribution : $P(X=x)=\frac{e^{-\lambda} \times \lambda^x}{x !}$

a mean of 0.05 flaw per square foot

Each car contains 10 sq.feet of the plastic roll

Mean = 0.05

Mean = $\lambda = 0.05 \times 10=0.5$

We are supposed to find What is the probability that there are no flaws in a given car’s interior i.e,P(X=0)

Substitute the value in the formula

$P(X=0)=\frac{e^{-0.5} \times (0.5)^0x}{0 !}$

$P(X=0)=\frac{e^{-0.5} \times (0.5)^0}{1}$

$P(X=0)=0.6065$

Hence the probability that there are no flaws in a given car’s interior is 0.6065

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3 years ago

You collect pennies. you start with one penny and double the number of pennies you have each day for the next 27 days. how many

Rudik [331]

Imagine, at the first day you have only one penny. Then tomorrow you have 2 pennies, next day you have 4 (2x2), next day you have 8 (4x2), next day you have 16 (8x2).... and so forth.

It looks like geometric sequence isn't it? (the ratio between the number of pennies that you have from the 2nd day and the 1st day is 2)

So, by using geometric sequence theorem we can total those pennies until day-27

S (total pennies at day-27) = (1)(2^27-1) / 2-1 = 2^26 pennies

So, you have 2^26 pennies.. a big number of pennies huh?=))

{The formula is: S = a( r^n-1) / r-1
Where:
a= the number of pennies that you've got at the 1st day
n= number of days you spent to collect those pennies)
r= the ratio of the number of pennies}

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3 years ago