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natita [175]
3 years ago
8

Find the value of each variable

Mathematics
1 answer:
mina [271]3 years ago
7 0

Answer:

x = 16  y= 16√3

Step-by-step explanation:

we know that a angle is 60 degrees. Thanks to this information we can say that x is half the hypothenuse, so is value is 16.

y can be express as √3/2 x 32 = 16√3

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Which is an equation of the line through (2,-1) and (0,5)
ElenaW [278]

Answer:

y = mx + c \\  - 1 =2 m + c...(1) \\ 5 = (0)m + c \\ c = 5...(2) \: sub \: in \: (1) \\  - 1 = 2m + 5 \\ m =  - 3 \\ y =  - 3x + 5

4 0
3 years ago
5. A community neighborhood wants to
Nastasia [14]

Answer:

51 trees

Step-by-step explanation:

Start at one end of the 50-foot line segment.

At position 0 ft, put one tree.

Then 1 ft from 0 ft, put tree number 2.

One more foot over, at position 2 ft from the start, put tree number 3.

Notice that each tree number is one more than the number of feet.

That means at 50 ft from the stat, you put tree number 51.

Answer: 51 trees

8 0
3 years ago
Ben's teacher wants him to write a 3 digit number that uses the 3 once and a 6 twice. The value of one of the 6 needs to be 1/10
pantera1 [17]
Ben can write the number 366 or 663. There is one three and two sixes. One of each six is greater than the other 6 times 10.
6 0
4 years ago
Four CDs and 4 DVDs cost $164. The cost of the 4 CDs is half the cost of the
Andrej [43]

Answer:

$13.67

Step-by-step explanation:

Let's say that CD= c and DVDs= d. Four CDs and 4 DVDs cost $164, so the equation will be:

i.  4c + 4d= 164

The cost of the 4 CDs is half the cost of the  4 DVDs, to put into an equation it will be:

ii.   4c= 0.5(4d)

     4c= 2d

     d= 2c

Then we can substitute the second equation (ii) into the first equation (i). The calculation will be:

4c + 4d= 164

4c + 4(2c)= 164

4c+ 8c= 164

12c= 164

c=13.67

The cost for each CD is $13.67

5 0
3 years ago
Can someone please help, will give the brainiest.
Studentka2010 [4]

Answer:

Step-by-step explanation:

As it is supposed to be linear, we just subtract two adjacent months to find the difference.

$13,849.60 - $13,610.81 = $238.79  which will be her monthly payment (Q 14)

December's balance is $13,610.81 - $238.79 = $13,372.02 (Q13)

At the end of September, her first payment, her balance was

$13,849.60 + $238.79 = $14,088.39 and her original purchase price was

$14,088.39 + $238.79 = $14,327.18

so an equation for the current balance B at any month m is

B = (-$238.79)m + $14,327.18

We verify this by testing for February

B = (-$238.79)6 + $14,327.18 = $12,894.44  which checks out

It will take 14327.18 / 238.79 = 60 months to pay it off or 5 years (Q 15)

5 0
3 years ago
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