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kirza4 [7]
4 years ago
14

Add 5/6 + 2 3/4 in the simplest form.

Mathematics
1 answer:
kogti [31]4 years ago
3 0

Answer:

3 7/12

Step-by-step explanation:

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Prove the identity.
Delvig [45]

Answer:

D. Pythagorean

Step-by-step explanation:

Given the identity

cos²x - sin²x = 2 cos²x - 1.

To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.

Starting from the left hand side

cos²x - sin²x ... 1

According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:

x = rcostheta

y = rsintheta

Substituting into the Pythagoras firnuka we have

(rcostheta)²+(rsintheta)² = r²

r²cos²theta+r²sin²theta = r²

r²(cos²theta+sin²theta) = r²

(cos²theta+sin²theta) = 1

sin²theta = 1 - cos²theta

sin²x = 1-cos²x ... 2

Substituting equation 2 into 1 we have;

= cos²x-(1-cos²x)

= cos²x-1+cos²x

= 2cos²x-1 (RHS)

This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM

5 0
4 years ago
3. Paula commutes 60 km each day for work, five days a week, nine months of the year. She travels 720
bezimeni [28]

Answer:

16,080 km.

Step-by-step explanation:

We want the total number of kilometers in one year.

so

4 weeks /month.

for Work:   9 months in the year  60 km/day  5 days/week

Family Visit :  720 km for 4 times a year

Personal:  200 km / month

Work total = 60 km/day * 5 days/week * 4week/month * 9 months

WorkTotal= 60*5*4*9 = 10,800 km

FamilyTotal= 4*720 = 2880 km

Personal = 200*12 = 2400 km

Total = 10,800 + 2880 + 2400 = 16,080 km

7 0
4 years ago
Help with this math question
ZanzabumX [31]
That easy 56.8.895 because when u add all the steps u find u answer so don’t let it fool u
5 0
3 years ago
Read 2 more answers
Quinzel earns $1,254 each month. His total deductions are 20% of his pay. How much is deducted from his pay each month? A. $62.7
Blababa [14]
The answer is C. 250.80

change the percent to a decimal (0.20) and multiply 1,254x0.20=250.80
6 0
3 years ago
How many trucks would you load in 9 hours if i loaded 5 trucks every 6 minutes
valentinak56 [21]
The answer is 270 trucks.
5 0
3 years ago
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