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Olin [163]
3 years ago
13

If the sin P = √2/2, what is the value of cos P

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

Answer:

√2/2

Step-by-step explanation:

If sinP = √2/2,

Rationalize;

√2/2

= √2/2,*√2/√2

√4/2√2

= 2/2√2

= 1/√2

Hence sinP = 1/√2

Take sin inverse of both sies

arcsinP = arcsin1/√2

P = 45 degrees

cos P =  Cos 45

= 1/√2

= 1/√2 * √2/√2

= √2/2

Hence the value of cosP is √2/2

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The sum of the digits of a two-digit number is 9. If the digits are reversed,the new number is 9 more than the original number.F
hodyreva [135]

Answer:

45

Step-by-step explanation:

Let the original number be xy where y is unit and x is tens hence original number is 10x+y When reversed, the new number is yz hence 10y+x

We know that the original number plus 9 is the reversed number hence

10x+y+9=10y+x

9y-9x=9 which when simplified we obtain that

y-x=1 equation 1

Originally, we are told that the sum of x and y is 9 hence

y+x=9 equation 2

Solving equation 1, it means y=x+1

Substituting the above into equation 2

x+1+x=9

2x=9-1

2x=8

x=8/2=4

Since y=x+1 then y=4+1=5

Therefore, the original number, xy is 45

4 0
4 years ago
If 12 cows produce 70 gallons of milk, how many gallons would 42 cows produce?
omeli [17]

Answer:

245

Step-by-step explanation:

-6 cows produce 35 gallons

6 x 7 =42

so 7 x 35 = 245

8 0
3 years ago
Can someone help me with this math problem
Korvikt [17]

Answer:

B. (m-1)(m-8)

Step-by-step explanation:

The factors of 8 (constant term) are

{(1,8), (2,4)}, from which we see that 1+8 = 9, the absolute value of the coefficient of the second term.

Therefore we can group the expression as

m^2 - 9m + 8

= m^2-m - (8m -8)

then factor each group

= m(m-1) - 8(m-1)

and factor out (m-1)

= (m-1)(m-8)

6 0
3 years ago
Read 2 more answers
-14cd-2c²d²+15cd+9c²d²-15cd need help
aliya0001 [1]
Combine like terms.

-14cd + 15cd - 15cd = -14cd
-2c²d² + 9c²d² = 7c²d²

7c²d² - 14cd is your answer

hope this helps
7 0
3 years ago
Read 2 more answers
You mow 1/3 of the lawn. Your sister mows 2/5 of the lawn. What fraction of the lawn is left to mow?​
vlabodo [156]

Answer: 4/15

Step-by-step explanation:

1/3+2/5 change it to 5/15+6/15=11/15 4/15 left of the lawn

7 0
3 years ago
Read 2 more answers
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