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3 years ago

Find the indicated side of the

Mathematics

1 answer:

tresset_1 [31]3 years ago

8 0

Answer:

$7\sqrt{3}$

Step-by-step explanation:

This is a special triangle with the angles being 30-60-90. The adjacent side to the angle of 30 degrees has a length of x * sqrt(3). The opposite side has a length of x. Since the opposite side has a length of 7 here you simply plug that into x * sqrt(3) to find the length of the adjacent side of the angle 30 degrees which gives you 7 * sqrt(3)

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N^2+16n+60 over 36-n^2

svetoff [14.1K]

Factor
36-n^2 is difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
6^2-n^2=(6-n)(6+n)
factor

n^2+16n+60
find what 2 numbers multiply to 60 and add to 16
factors of 60=2,2,3,5
the numbers are 10 and 6
so factored out
(x+6)(x+10)
(x+6)=(6+x)

so the equation is
[(x+6)(x+10)]/[(6+x)(6-x)]=[(6+x)/(6+x)] times (x+10)/((6-x)=1 times (x+10)/(6-x)

the answer is (x+10)/(6-x)

5 0

3 years ago

ASAPPPP<br> - 1/2 + (3/4 x 4/9) =

kumpel [21]

Answer:

Step-by-step explanation:

− 1 /2 + 3 /4 ( 4 /9 )

=−1 /2 + 3 /4 ( 4 /9 )

= −1 /2 + 1 /3

= −1 /6

(Decimal: -0.166667)

6 0

4 years ago

Which amount is larger and by how much? A positive number a or the same number a increased by 50% and then decreased by 50% of t

kogti [31]

Answer:

Step-by-step explanation:

a((100+50)/100)(100-50)/100

a(1.5)(.5)=0.75a

So a is larger than a(1.5)(0.5)

How much larger is a than 3a/4?

a/(3a/4)

a(4/3a)

a is 4/3 greater, so it does indicate a 33(1/3)% increase. Maybe they just want the fraction saying it is 1/3 greater or the difference of 0.25a

6 0

3 years ago

Matte is make a collar for a dog she need to buy some chain and clasp and a name tag she .want buy the collar that 40 centimeter

kolbaska11 [484]

Answer:

do u take links bcs i can give u a link to the answer if u want

4 0

3 years ago

Help me plsss!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

MaRussiya [10]

Answer:

C.Infinitely many solutions

I solved by substitution

$2x+3y=12\\-3y-3y\\2x=-3y+12\\\frac{2x=-3y+12}{2} \\x=-\frac{3}{2} y+6$ $-6y=4x-24\\-6y=4(-\frac{3}{2} y+6)-24\\-6y=-6y\\-6y+6y=-6y+6y\\0=0\\$ Infinitely many solutions

8 0

3 years ago

Read 2 more answers