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MA_775_DIABLO [31]
2 years ago
13

Finding the missing angle measure

Mathematics
2 answers:
noname [10]2 years ago
6 0
Answer: 31°

Since <DAB = 55° and <CAB = 24°, subtract 24 from 55.
55 - 24 = 31
natulia [17]2 years ago
5 0
The answer for this would be 31 degrees.

DAB = 55 deg
Angle A = 24
55 - 24 = 31 degrees
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I would multiply both sides by negative one and then take the smaller of the two variables and subtract that from both sides, simplify and solve.
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3 years ago
Find sin(B), cos(B) and tan(B) for the right triangle ABC shown. Please show your work below.
tangare [24]

Hello!

These are the following formulas to calculate sine, cosine, and tangent.

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent

To find sin(B), we need to find the side opposite of angle B, and the hypotenuse.

The opposite of angle B is 12, and the hypotenuse is 13.

sin(B) = 12/13

sin^-1(12/13) = 67.3801... This can be rounded to 67.38 degrees. (Tenths place: 67.4 degrees)

To find cos(B), we need to find the side adjacent of angle B, and the hypotenuse.

The adjacent side of angle B is 5, and the hypotenuse is 13.

cos(B) = 5/13

cos^-1(5/13) = 67.3801... It can be rounded to 67.38 degrees. Rounded to the tenths place is 67.4 degrees.

To find cos(B), we need to find the side adjacent and opposite of angle B.

The adjacent side of angle B is 5, and the opposite is 12.

tan(B) = (12/5)

tan^-1(12/5) = 67.3801... This can be rounded to about 67.38 degrees. Rounded to the tenths place is 67.4 degrees.

Therefore, the value of sin(B) is 67.38 degrees, the value of cos(B) is 67.38 degrees, and finally the value of tan(B) is 67.38 degrees.

7 0
3 years ago
Read 2 more answers
I need help with 20.
irinina [24]

Step-by-step explanation:

why ? you did it right there already.

the numerator is the top part of the fraction, the "counting" part (how many units of a certain type or size are there).

the denominator (the bottom part) is defining the type or size of units described by the fraction.

so, we are adding 4 to the numerator of 2/5, making it (2+4)/5 = 6/5

what do we need to add to the denominator (the bottom part) to make the fraction have the value of 1/2 ?

so, what x would make 6/x = 1/2 ?

6 = x/2

x = 6×2 = 12

so, we need to get 12 in the denominator, where we have currently 5.

therefore, we need to add 12-5 = 7 to it.

so that

6/(5+7) = 6/12 = 1/2

3 0
2 years ago
In a parenting magazine, Mrs. Smith read an advertisement about all the different ways that bleach can be used to kill bacteria.
babymother [125]

Question:

(a) How many bacteria would be found in 24 hours

(b) How many bacteria would be found in 2 days

(c) How long for 1000 bacteria to be found

Answer:

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(c) 6 days

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The question illustrates an exponential function

y = ab^x

Where

a = Initial\ Value = 1

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x = number\ of\ hours

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In this case:

x = 24

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y = 1000

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y = ab^x

1000 = 1 *3^x

1000 = 3^x

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Log1000 = Log3^x

This gives:

Log1000 = xLog3

Make x the subject

x = \frac{Log1000}{Log3}

x \approx 6

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$78,000 for his first year of working
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