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dangina [55]
3 years ago
15

Help on question 4 ❤️❤️❤️

Mathematics
1 answer:
kompoz [17]3 years ago
5 0
2/5, 1/10, and 1/20 are all less than 1/2 
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For which acute angle are the sine of the angle and cosine of the angle equal? 30º 45º 60º 75º
Damm [24]
Hello

sin ..... | 0° |30°|45°|60°|90°|
...........| 0...| 1..| 2..|  3..| 4..|  write numbers
...........| 0...| 1..|√2.| √3 | 2..| take root square
...........| 0...|1/2|√2/2|√3/2|1| divide by 2
...........| 0...|1/2|√2/2|√3/2|1| .....
cos.....| 90°|60°|45°|30°| 0°|

sin (75°)
=sin(30°+45°)=sin 30°*cos 45° +cos 30°*sin 45°
....................  =1/2*√2/2            +  √3/2*√2/2
....................   = √2(1+√3)/4

cos 75°
=cos(30°+45°)=cos 30°*cos 45°-sin 30°*cos 45°
=√3/2*√2/2-1/2*√2/2
=√6/4-√2/4=√2/4*(√3 -1 )

5 0
3 years ago
(3) The difference between two numbers is 8. If the larger is
Alecsey [184]

Answer:

x= 62

y= 54

Step-by-step explanation:

Step one:

given data

let the numbers be x and y and the larger be x the smaller be y

The difference between two numbers is 8

x-y= 8-----------1

If the larger is  subtracted from three times the smaller, the difference is 100

3y-x=100------------2

from eqn 1, x= 8+y

put this in eqn 2

3y-(8+y)=100

3y-8-y=100

collect liker terms

3y-y-8=100

2y=108

y= 54

put y= 54 in eqn 1

x-y=8

x-54= 8

x= 8+54

x=62

5 0
3 years ago
debt payments of $800 due now and $1400 due in 5 months are to be repaid by a payment of $1000 in 3 months and a final payment i
loris [4]

Answer:

$1,304.70

Step-by-step explanation:

If interest 6% annually, monthly is 0.5%.

The debt in 5 months will be 800 plus compounded interest for 5 months plus new due debt

800(1.005)^5+1400=2220.201

In 3 more months the debt will be 2220.201 plus compounded interest for 3 months minus payment

2220.201(1.005)^3-1000=1253.67

After 8 months the debt would be 1253.67 plus compounded interest for 8 months

2220.201(1.005)^3=1304.70

Then the size of the final payment would be $1,304.70

5 0
3 years ago
You have four $10 bills and eighteen $5 bills in your piggy bank. How much money do you have?
kap26 [50]
$ 130. I got this by multiplying ten by four and 18 by 5 and adding then together. Hope this helps!
3 0
3 years ago
Read 2 more answers
What is the sum of 2.335 and 8.773
GrogVix [38]

Answer:

11.108

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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