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4 years ago

What is the angle supplementary to the angle measuring 165°? A. 75° B. 195° C. 60° D. 15°

Mathematics

2 answers:

zhannawk [14.2K]4 years ago

8 0

D. 180-165 = 15 degree

disa [49]4 years ago

8 0

The angle supplementary to the angle measuring 165<span>° is (D.) 15</span><span>°.</span>

Hope this helps!!

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3 years ago

Which graph matches the equation y = -(x+2)2 ?

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A line has two-fold

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C. rotational

Step-by-step explanation:

Common figures with only rotational symmetry are the recycling sign and fan blades. If a figure coincides with the original twice in one full turn, it has two-fold rotational symmetry.

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3 years ago

An urn contains 13 red marbles and 11 blue marbles. 12 marbles are chosen at random. What is the probability that 7 red marbles

algol13

The probability of selecting or choosing seven marbles is 0.29.

Let E be the event of choosing seven red marbles.

According to the given.

Total number of balls in an urn = 13 + 11 = 24

Total number of red marbles = 13

Total number of blue marbles = 12

Now, the total number of ways of selecting 12 marbles from 24 = $^{24} C_{12}$

And the number of ways of selecting 7 red marbles = $^{13} C_{7} \times ^{11} C_{5}$

As, we know that, the probability of any event can be calculated as by taking the ratio of favroble outcomes to the total number of outcomes.

Therefore, the probability of selecting or choosing seven marbles is given by

$P(E) = \frac{^{13}C_{7}\times\ ^{11} C_{5} }{^{24} C_{12} }$

⇒ P(E) = $\frac{\frac{13!\times11!}{7!\times6!\times 5!\times6! } }{\frac{24!}{12!12!} }$

⇒ P(E) = 792792/2704156

⇒P(E) = 0.29

Hence, the probability of selecting or choosing seven marbles is 0.29.

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2 years ago

Jack bought a new car in 2014 for 28,000. If the value of the car decreases by 14% each year, write an exponential model for the

elena55 [62]

Answer:

In 2026 car will have a value of $5,000.

Step-by-step explanation:

We have been given that Jack bought a new car in 2014 for 28,000. If the value of the car decreases by 14% each year.

Since we know that an exponential function is in form: $y=a*b^x$ , where,

a = Initial value,

b = For decay or decrease b is in form (1-r), where r represents decay rate in decimal form.

Let us convert our given decay rate in decimal form.

$14\%=\frac{14}{100}=0.14$

Upon substituting a =28,000 and r=0.14 in exponential decay function we will get,

$y=28,000(1-0.14)^x$ , where x represents number of years after 2014.

Therefore, the function $y=28,000(0.86)^x$ represents the value of car x years after 2014.

To find the number of years it will take to car have the value of $5,000, we will substitute y=5,000 in our function.

$5,000=28,000(0.86)^x$

Let us divide both sides of our equation by 28,000.

$\frac{5,000}{28,000}=\frac{28,000(0.86)^x}{28,000}$

$0.1785714285714286=(0.86)^x$

Let us take natural log of both sides of our equation.

$ln(0.1785714285714286)=ln((0.86)^x)$

Using natural log property $ln(a^b)=b*ln(a)$ we will get,

$ln(0.1785714285714286)=x*ln(0.86)$

$\frac{ln(0.1785714285714286)}{ln(0.86)}=\frac{x*ln(0.86)}{ln(0.86)}$

$\frac{-1.7227665977411033893}{-0.1508228897345836}=x$

$x=11.422447\approx 12$

As in the 12th year after 2014 car will have a value of $5,000, so we will add 12 to 2014 to find the year.

$2014+12=2026$

Therefore, in 2026 car will have a value of $5,000.

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3 years ago

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