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AveGali [126]
2 years ago
12

What is the length of the hypotenuse of the triangle below

Mathematics
1 answer:
sdas [7]2 years ago
3 0

Answer:

17

Step-by-step explanation:

Pythagorean Theorem

a^2 + b^2 = c^2

8^2 + 15^2 = c^2

64 + 225 = c^2

c^2 = 289, c = 17

8, 15, 17 is also a common Pythagorean triple.

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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
How to find a discount percent
adoni [48]
If they give you the total price and the price after the discount you can use this "formula" to solve it p/100=b/a where p is the percentage, a is the total price and b is the price after the discount.
3 0
3 years ago
Can the sides of a triangle have lengths 2, 10, and 11?<br> yes<br> no
madreJ [45]

Answer:

Yes

Step-by-step explanation:

Triangle inequality theorem states that a triangle can exist if

a + b > c; a + c > b; b + c > a

a = 2; b = 10; c = 11

2 + 10 = 12; 12 > 11.

2 + 11 = 13; 13 > 10.

10 + 11 = 21; 21 > 2.

4 0
2 years ago
An evergreen nursery usually sells a certain shrub after 7 years of growth and shaping. The growth rate during those 7 years is
Ne4ueva [31]

Answer:

( 0.6 t^2 + 3t + 11 ) cm

Step-by-step explanation:

dh/dt = 1.2t + 3

at t = 0, h = 11 cm

(a)

dh / dt = 1.2 t + 3

dh = (1.2 t + 3) dt

integrate on both sides

h = 0.6 t^2 + 3t + c    .... (1)

where c is the integrating constant

put t = 0

11 = c

Put in equation (1) , we get

h = ( 0.6 t^2 + 3t + 11 ) cm

Thus, teh height of tree after t years is given by

( 0.6 t^2 + 3t + 11 ) cm.

3 0
3 years ago
What kind of taxes are likely to pay for universities and police? a. local taxes b. state taxes c. federal taxes d. income taxes
shusha [124]
The best choice is B, state taxes !
7 0
3 years ago
Read 2 more answers
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