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garri49 [273]
2 years ago
12

If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?

Mathematics
1 answer:
Rzqust [24]2 years ago
5 0
The answer would be choice B y=18/5(11)
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Find the length of side x in the simplest radical form with a rational denominator.
krok68 [10]

Answer:

\sqrt{2}

Step-by-step explanation:

We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

tan(45)=\frac{x}{\sqrt{2}}

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:

We multiply the denominator of the fraction by \sqrt{2}. \sqrt{2} multiplied by itself is simply 2. Try it! We also want to multiply the numerator by \sqrt{2}, but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

tan(45)=\frac{x\sqrt{2} }{2}

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.

\frac{x\sqrt{2} }{2*2} =x\sqrt{2}

tan(45)*2=2

We can plug 2 in for the x in the numerator now:

\frac{2\sqrt{2} }{2}

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of x=\sqrt{2}

Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)

7 0
3 years ago
At the library, 56 people borrowed
irina [24]

Answer:

24 people borrowed the books on Friday

Step-by-step explanation:

Every day, the number of books is being subtracted by 2.

56 - Monday (-8)

48 - Tuesday (-8)

40 - Wednesday (-8)

32 - Thursday (-8)

24- Friday

5 0
2 years ago
Find both inequality 2c-7\>9 and 5d+7/<32
solong [7]
2c -7 >= 9 

2c >= 16

c >= 8

5d + 7 <= 32

5d <= 25

d <= 5

normal arthematic except diving over -1 or flipping (taking inverse -1) flips the operator 

3 0
3 years ago
PLS HELP i have to finish this tonight
kvasek [131]

Answer:

D.480 Ft/S

Step-by-step explanation:

um, Just ask your teacher if you don't understand:P

5 0
3 years ago
A ball is thrown into the air with an initial velocity of 22 meters per second. The quadratic function h(x)= -4.9t square +22t+5
MrRa [10]

Answer:

Height of the ball after 3 seconds = 27.4 feet.

Step-by-step explanation:

h(t) = -4.9t^2 + 22t + 5.5

h(3) means the height of the ball at time 3 seconds after the ball was thrown.

h(3) = -4.9(3)^2 + 22(3) + 5.5

=  27.4 feet

5 0
3 years ago
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