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Doss [256]
3 years ago
11

Determine the unknown angle measures, to the nearest degree, in the diagram provided.

Mathematics
1 answer:
serg [7]3 years ago
7 0

Answer:

a is <u>5</u><u>3</u><u>.</u><u>8</u><u>°</u><u>,</u> and b is <u>3</u><u>6</u><u>.</u><u>2</u><u>°</u>

Step-by-step explanation:

Using sine trig rule:

{ \boxed{ \bf{ \sin(b) =  \frac{opposite}{hypotenuse}  }}}

{ \tt{ \sin(b) =  \frac{78}{132}  }} \\  \\ { \tt{b =  { \sin }^{ - 1}( \frac{78}{132} ) }} \\  \\ { \tt{b = 36.2 \degree}}

Summation of angles of triangle:

{ \tt{a + b + 90 \degree = 180 \degree}} \\ { \tt{a + 36.2 \degree + 90 \degree = 180 \degree}} \\ { \tt{a = (180 - 36.2 - 90) \degree}} \\ { \tt{a = 53.8 \degree}}

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Mars2501 [29]

None of the numbers on the list of choices that you posted
with the question meets those conditions.


6 0
4 years ago
You are a waterman daily plying the waters of Chesapeake Bay for blue crabs (Callinectes sapidus), the best-tasting crustacean i
notsponge [240]

The question given is incomplete, I googled and got the complete question as below:

You are a waterman daily plying the waters of Chesapeake Bay for blue crabs (Callinectes sapidus), the best-tasting crustacean in the world. Crab populations and commercial catch rates are highly variable, but the fishery is under constant pressure from over-fishing, habitat destruction, and pollution. These days, you tend to pull crab pots containing an average of 2.4 crabs per pot. Given that you are economically challenged as most commercial fishermen are, and have an expensive boat to pay off, you’re always interested in projecting your income for the day. At the end of one day, you calculate that you’ll need 7 legal-sized crabs in your last pot in order to break even for the day. Use these data to address the following questions. Show your work.

a. What is the probability that your last pot will have the necessary 7 crabs?

b. What is the probability that your last pot will be empty?

Answer:

a. Probability = 0.0083

b. Probability = 0.0907

Step-by-step explanation:

This is Poisson distribution with parameter λ=2.4

a)

The probability that your last pot will have the necessary 7 crabs is calculated below:

P(X=7)=  {e-2.4*2.47/7!} = 0.0083

b)

The probability that your last pot will be empty is calculated as:

P(X=0)=  {e-2.4*2.40/0!} = 0.0907

8 0
3 years ago
ABCD is a parallelogram. Find the measure of ZABC.<br> HELPPP
Lena [83]

Answer:

50°

Step-by-step explanation:

Opposite angels of a parallelogram are congruent to each other.

This means:

<ADC = <ABC

<ADC = 38° + 12°

<ADC = 50°

Since <ADC = <ABC, therefore,

<ABC = 50°

6 0
3 years ago
What does h equal in the equation S=2πr2+2πrh?
Troyanec [42]

A

Step-by-step explanation:First, subtract

2

π

r

2

from each side of the equation to isolate the

h

term:

S

−

2

π

r

2

=

2

π

r

h

+

2

π

r

2

−

2

π

r

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S

−

2

π

r

2

=

2

π

r

h

+

0

S

−

2

π

r

2

=

2

π

r

h

Now, divide each side of the equation by

2

π

r

to solve for

h

:

S

−

2

π

r

2

2

π

r

=

2

π

r

h

2

π

r

S

−

2

π

r

2

2

π

r

=

2

π

r

h

2

π

r

S

−

2

π

r

2

2

π

r

=

h

h

=

S

−

2

π

r

2

2

π

r

Or

h

=

S

2

π

r

−

2

π

r

2

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π

r

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=

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2

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−

2

π

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r

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=

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−

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2

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=

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2

π

r

−

r

4 0
4 years ago
Is the answer I chose correct?
nlexa [21]
Yes it is good luck too you
3 0
3 years ago
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