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Elis [28]
3 years ago
11

Please help with this question.

Mathematics
1 answer:
barxatty [35]3 years ago
3 0

Answer:

Step-by-step explanation:

The first thing we have to do is find the measure of angle A using the fact that the csc A = 2.5.

Csc is the inverse of sin. So we could rewrite as

\frac{1}{sinA}=2.5 or more easy to work with is this:

\frac{1}{sinA} =\frac{2.5}{1}

and cross multiply to get

2.5 sinA = 1 and

sinA=\frac{1}{2.5} which simplifies to

sin A = .4

Using the 2nd and sin keys on your calculator, you'll get that the measure of angle A is 23.58 degrees.

We can find angle B now using the Triangle Angle-Sum Theorem that says that all the angles of a triangle have to add up to equal 180.  Therefore,

angle B = 180 - 23.58 - 90 so

angle B = 66.42

The area of a triangle is

A =\frac{1}{2}bh where h is the height of the triangle, namely side AC; and b is the base of the triangle, namely side BC. To find first the height, use the fact that angle B, the angle across from the height, is 66.42, and the hypotenuse is 3.9.  Right triangle trig applies:

sin(66.42)=\frac{h}{3.9} and

3.9 sin(66.42) = h so

h = 3.57

Now for the base.  Use the fact that angle A, the angle across from the base, measures 23.58 degrees and the hypotenuse is 3.9. Right triangle trig again:

sin(23.58)=\frac{b}{3.9} and

3.9 sin(23.58) = b so

b = 1.56

Now we can find the area:

A=\frac{1}{2}(1.56)(3.57) so

A = 2.8 cm squared

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MAXImum [283]

Answer: \frac{1}{b^6}   or b^{-6}  

Step-by-step explanation:

\frac{b^-2+2}{b^4+2}   Add the exponent two to both sides.  After adding -2 and     2 you get 0 and any number raised to the zero power is one. And 4 plus two is 6

\frac{b^0}{b^6}   = \frac{1}{b^6}

3 0
3 years ago
Tricia is going to write Patterns A, B, and C using the rule add 15. The first
8_murik_8 [283]

Answer:

The answer is "Pattern B showed number 40; each pattern is also increased as per the rule".

Step-by-step explanation:

In every sequence pattern, it recalls that rule, it adds 15 in this need to build from the specified initial estimate each sequence.

In Pattern A.  

5+20+35+50+......

In Pattern B.

10+25+40+55+70+.....

In Pattern C.

15+30+45+60....

In this, pattern option B is correct because it will give 40.

5 0
3 years ago
Help plss. due tomorrow
Dima020 [189]

Answer:

90

Step-by-step explanation:

Length times with times height

7 0
2 years ago
Read 2 more answers
Write the fraction 60/200 as a decimal and as a percent
FromTheMoon [43]

Answer:

0.3

30%

30/100 is the same as 60/200, both the numerator and denominator have been doubled.

5 0
3 years ago
Question 2
Katena32 [7]

Answer: 60cm

Step-by-step explanation:

6 times 2 is 12

12 times 5 is 60

5 0
3 years ago
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