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Dafna1 [17]
3 years ago
14

I need help finding the missing angle with work plz ANSWER ASAP!!!!!!

Mathematics
1 answer:
Gemiola [76]3 years ago
5 0

Answer:

The unknown angle is 80

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

Let the unknown angle be x

20+80+x = 180

Add like terms

100+x = 180

Subtract 100 from each side

100-100+x=180-100

x = 80

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If tan A = 4/5; what does CSC A =?<br> Round to nearest tenth.
ZanzabumX [31]

Answer:

1.6

Step-by-step explanation:

\tan \: A =  \frac{4}{5}  \\  \\  \cot \: A =   \frac{1}{ \tan \: A }  =  \frac{1}{ \frac{4}{5} }  =  \frac{5}{4}  \\  \\ csc\: A = \sqrt{1  +   {cot}^{2}\: A}     \\  =  \sqrt{1 +   { \bigg( \frac{5}{4}  \bigg)}^{2}  } \\  = \sqrt{1 +  \frac{25}{16} }   \\  = \sqrt{\frac{16 + 25}{16} }   \\  =   \sqrt{\frac{41}{16}}  \\  =  \frac{ \sqrt{41} }{4}  \\  =  \frac{6.40312424}{4}  \\  = 1.60078106 \\  \therefore \: csc \: A =1.6

6 0
3 years ago
Simplify the following: (25 ×−716 ) + ( 25 × 28)
kvv77 [185]

Answer:

- 17900 + 700

answer to the equation would be -17,200

7 0
2 years ago
Read 2 more answers
A biology test is worth 100 points and has 36 questions.
Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

M + E= 36 --- Number of questions

2M + 6E = 100 --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in M + E= 36

E = 36 - M

Substitute 36 - M for E in 2M + 6E = 100

2M + 6(36 - M) = 100

2M + 216 - 6M = 100

Collect Like Terms

2M - 6M = 100 - 216

-4M = - 116

Divide both sides by -4

M = \frac{-116}{-4}

M = 29

Substitute 29 for M in E = 36 - M

E = 36 - 29

E = 7

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

2M + 6E = 100 would be:

4M + xE = 100

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

4 * 29 + x * 7 = 100

116 + 7x = 100

Subtract 116 from both sides

116-116 + 7x = 100 -116

7x = 100-116

7x = -16

Make x the subject

x = -\frac{16}{7}

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

<em>Your friend is incorrect.</em>

6 0
2 years ago
What are the x intercepts of this equation?
lara [203]
The correct answer is the first one
6 0
3 years ago
How many one-third cubes are needed to fill the gap in the prism shown below?
attashe74 [19]

Answer:

The answer is 16 I've seen this before so I would know. and your welcome

Step-by-step explanation:

8 0
3 years ago
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