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mario62 [17]
2 years ago
9

Given the exact value for sides a and c.

Mathematics
1 answer:
Over [174]2 years ago
5 0

Answer:

See below

Step-by-step explanation:

a =  15 sqrt 2   sin 45

   = 15 sqrt 2  * sqrt( 2 ) /2  = 15 * 2 /2 = 15

sin 60 = a/c

sqrt(3)/2 = 15/c

   c =   15 / ( sqrt(3)/2) = 30 / sqrt 3 = 30 sqrt 3 /3 = 10 sqrt 3

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-7m+5=(m+8)+4(m+5)<br>answers?​
labwork [276]

Answer: m= −23 /12

Step-by-step explanation:

5 0
3 years ago
Ricky is filling an 8 inch by 4 1/2 inch rectangular box with packing peanuts. The peanuts are cubes that come in two different
Marina86 [1]
Ok, so we can fill the part of the box that corresponds to the 8x4 inches with the boxes that are 1 cubic inch - that wound be 8x4, that is 32 such boxes.

then the rest would be 8x \frac{1}{2} inches, that is 4 cubic inches.

In order to fill in 4 cubic inches with  \frac{1}{8} inches boxes we calculate:

4/ \frac{1}{8}=4*8=32  So it's also 32 such small boxes!

6 0
3 years ago
The residence of a city voted on whether to raise property taxes the ratio of yes votes to no votes was 7 to 4 if there were 367
Tresset [83]

Answer: 10,098 votes

Step-by-step explanation:

The ratio is 7 : 4 which means that for every 7 yes votes, there were 4 no votes.

To find the total votes, add the ratios:

= 7 + 4

= 11

4/11 are the no votes out of the total. Assuming the total is x, the formula is:

4/11x = 3,672

x = 3,672 / 4/11

x = 10,098 votes

5 0
3 years ago
What two numbers add up to 6 and multiply to 12?
GuDViN [60]
Erm

x+y=6
xy=12


x+y=6
y=6-x
sub back

xy=12
x(6-x)=12
6x-x^2=12
x^2-6x=-12
x^2-6x+12=0
quadratic formula
for
ax²+bx+c=0
x= \frac{-b+/- \sqrt{b^2-4ac} }{2a}

for
x²-6x+12=0
a=1
b=-6
c=12
and remember that √-1=i

x= \frac{-(-6)+/- \sqrt{(-6)^2-4(1)(12)} }{2(1)}
x= \frac{6+/- \sqrt{36-48} }{2}
x= \frac{6+/- \sqrt{-12} }{2}
x= \frac{6+/- (\sqrt{-1})(\sqrt{12}) }{2}
x= \frac{6+/- (i)(2\sqrt{3}) }{2}
x= \frac{6+/- 2i\sqrt{3} }{2}
x=3+/-i√3

the numbers are 3+i√3 and 3-i√3
no real numbers tho
7 0
3 years ago
What is -9/2+5/12 dhdjjxjxjxjxjxjjx
Scrat [10]

Answer:

-4 1/12.

Step-by-step explanation:

-9/2 + 5 /12

The Lowest Common denominator is 12 so we have:

-54/12 + 5/12

= -49/12

=  -4 1/12.

7 0
3 years ago
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