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d1i1m1o1n [39]
2 years ago
9

What is the value of the expression 6( -5 1/4 ?

Mathematics
1 answer:
Norma-Jean [14]2 years ago
6 0

Answer:

-63/2

Step-by-step explanation:

6( -5  1/4)

= 6(-21/4)

= -63/2

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PLEASE HELP ME.<br> THANKS!!!
Veronika [31]

Cos(x) = sin(x + 20o) Use the double cos angle formula

Cos(x) = sin(x)*cos(20) + cos(x)*sin(20) Divide through by cos(x). Tanx = sin(x)/cos(x)

1 = tan(x)*cos(20) + sin(20) Subtract sin(20) from both sides.

1 - sin(20) = tan(x)*cos(20) Calculate the value of 1 - sin(20)

0.65798 = tan(x) * 0.939692 Divide by cos(20)

tan(x) = 0.65795/0.939692

tan(x) = 0.70021 Take the inverse of 0.7) = tan(x)

x = tan-1(0.70021)

x = 35 degrees as expected.

Problem Two

The easiest way to do this is to pick random values and try it. The two acute angles are complementary. So 25 and 65 are random enough.

Let A = 25

Let C = 65

A

Tan(25) = sin(25)/sin(65) ; tan(25) = 0.4663.

sin(25)/sin(65) = 0.4663 Answer

B

Sin(90 - C) = Sin(A)

Tan(90 - A) = Tan(C)

So the question becomes Cos(A) = Tan(C) / sin(A)

Cos(25) = Tan(65)/Sin(25)

0.906 = ? 5.07 This statement isn't true.

C

Sin(65) = Cos(25)/Tan(65)

.906 = 0.4226 C is not the correct answer.

D

D isn't true. The tan does not relate that away. You can find it for yourself.

Cos(A) = Tan(C) You should get 0.906 = 2.14

E

Sin(C) = Cos(A) / Tan(A) I'll leave you to show this is wrong.

Problem 3

The diagram below is for this problem. Cos(x) = 50/100 = 0.5

x = cos-1(0.5)

x = 60 degrees.

Part 2

Sin(60) = opposite / hypotenuse

opposite = sin(60) * hypotenuse

opposite = 86.61 Be sure and round this to whatever the question says to round it to.



4 0
2 years ago
In the figure Line “P” is the ____?
Stella [2.4K]

Answer:

  "line of reflection."

Step-by-step explanation:

It appears as though the figure on the left is a reflection of the figure on the right across the line. Hence line P is the <em>line of reflection</em>.

6 0
3 years ago
If F ( x ) = 2 x - 1, find the zero of F -1( x ).<br><br> A) -1<br> B) 1/2<br> C) 1
tigry1 [53]

Answer:

A.

Step-by-step explanation:

7 0
2 years ago
A committee is formed consisting of one representative from each of the 4 departments (CS-IS-IT-SW) in the computer science coll
alexandr1967 [171]

Step-by-step explanation:

each department has 3 options for their representative.

and each of these options can be associated with the 3 options of the next department. and so on.

so, we have

3×3×3×3 = 3⁴ = 81

possibilities to firm that committee overall.

7 0
3 years ago
Which expression is equivalent to (5^4)^2<br> A. 25^8<br> B. 20^2<br> C. 5^8<br> D. 5^6
Yuliya22 [10]

Answer:

C. 5^8

to raise a power to another power, multiply the exponents

then multiply thr numbers

then u get 5^8

6 0
3 years ago
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