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taurus [48]
3 years ago
12

5√-54 in simplest radical form

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
3 0

The answer is 15i radical 6

sergey [27]3 years ago
3 0

-2.99999999998 math is fun sometimes

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What is the length of the unknown side?
777dan777 [17]

Answer:

Hi there!

The correct answer is: 20

Step-by-step explanation:

knowing this a right triangle you can solve this problem in two ways

Method One: Pythagorean Theorem

a^2 + b^2 = c^2 then plug in the values

(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2

square root both sides and you get c = 20

Method Two: Pythagorean Identities

if you ever learned the Pythagorean identity 3,4,5

this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4

so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20

 

4 0
3 years ago
A raffle is being held to raise money for wildlife conservation efforts. Ten different gift cards are being awarded. If 3,125 pe
Alex17521 [72]

Answer:

Your answer will be 0.9968

Step-by-step explanation:

Subtract 3,125 to 10 and then divide your answer to 3,125

6 0
3 years ago
Read 2 more answers
The y coordinate of the vertex of f (x)=-x^2+8x+7 is f(4)
azamat

Hello there.

To answer this question, we need to remember some properties about the vertex of quadratic functions.

Let f(x)=ax^2+bx+c,~a\neq0. Its vertex can be found on the coordinates (x_v,~y_v) such that x_v=-\dfrac{b}{2a} and y_v=-\dfrac{b^2}{4a}+c, in which y_v=f(x_v).

Using the coefficients given by the question, we get that:

x_v=-\dfrac{8}{2\cdot(-1)}\\\\\\ x_v=-\dfrac{8}{-2}\\\\\\ x_v=4

Thus, we have:

y=f(x_v)=f(4)

So the statement is true, because the x coordinate of the vertex of the function is equal to 4.~~\checkmark

7 0
2 years ago
Assume the Poisson distribution applies. Use the given mean to find the indicated probability.
algol13
For given Poisson distribution, <span>μ=8.

</span>P(k)=μ^k*e^(-<span>μ)/k!
so
P(4)=8^4*e^(-8)/4!=0.05725 approx.

</span>
4 0
4 years ago
Together, Sarah's two cats have the same mass as her dog, 11 kg. The mass of one cat is
levacccp [35]
First, lets do all calculations in kg. 1kg=1000 grams
Lets set 1 cat's mass as x.
Lets set the other cat's mass as y.
1) x+y=11
2) y=x+1.5   

Lets plug eq 2 into eq 1.
x+x+1.5=11
2x+1.5=11
2x=9.5
x=4.75 kg

If one cat weighs 4.75 kg, then the other must weigh 6.25 kg.




6 0
3 years ago
Read 2 more answers
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