Answer:
11/8 and 21/16
Step-by-step explanation:
3 x 1 = 3
4 x 2= 8
3/8+3/4(convert to eighth's)
3/8+6/8=11/8
1 1/8 = 9/8
9 x 1 = 9
8 x 2 = 16
9/16+3/4(convert to sixteenth's)
9/16+12/16
21/16
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hope it helps
9514 1404 393
Answer:
- 12 boxes
- 10 pencils, 9 notebooks
Step-by-step explanation:
a) The number of boxes will be the greatest common divisor (GCD) of the numbers 120 and 108. That number is 12.
120 = 12×10
108 = 12×9 . . . . 12 is the greatest common divisor
Matthew can make 12 boxes with equal numbers of the items.
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b) 120 pencils divided by 12 will be 10 pencils per box.
108 notebooks divided by 12 will be 9 notebooks per box.
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<em>Additional comment</em>
It helps to be familiar with multiplication tables up to about 12×12.
The GCD can always be found using Euclid's algorithm. Look at the remainder when the larger number is divided by the smaller. If it is not zero, then replace the larger number with the remainder and repeat. If the remainder is zero, the divisor is the GCD.
Here, we have ...
120/108 = 1 r 12.
108/12 = 9 r 0 ⇒ 12 is the GCD
Tan is equal to sin over cosine so if this is all the info you are given sin.is 3 and cosine is 4. However it is possible term cancel out like sin could be 3/5 and cosine 4/5 which would still give tan 3/4. Actually that is probably what it is to make a 3 4 5 triangle.
To make sine and cos equal the opposite and adjacent sides must be equal. By corresponding angles it is isosceles so b and c must be 45
