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Alja [10]
2 years ago
13

What is the length of the leg in a 45-45-90 triangle with a hypotenuse of 1?

Mathematics
1 answer:
disa [49]2 years ago
6 0

Answer:

√2 / 2

Step-by-step explanation:

In a 45-45-90 triangle, the length of a leg is equal to the hypotenuse / √2

Therefore, the length of a leg is 1 / √2

Rationalize by multiplying the numerator and denominator by √2, and this becomes √2 / 2

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100 POINTS plz help Chuck drops a rock from a height of 70 m. How long will it take the rock to hit the ground?
lord [1]

Answer:

3.8

Step-by-step explanation:

We are going to plug in the values of the equation, so h(t)=-4.9^2+v0t+h0 will

now be h(t)=-4.9^2+0+70

Now we will find the a b and c of the equation,  a=-4.9 b=0 c=70

Now we must find the discriminant of the equation,  which the equation for that is D=b^2+(-4)(a)(c)

So D=1,372

Now we use the quadratic formula (see picture below for finished product)

4 0
3 years ago
Read 2 more answers
Recall Marginal Cost is the derivative of Total Cost, and Fixed Cost is the cost of producing zero units.
olga nikolaevna [1]

Answer:

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

Step-by-step explanation:

The Marginal Cost is given by the following function

MC(q) = 200*(q+9)^{-5}

The total cost function is the integrative of the marginal cost function. So:

TC(q) = \int {MC(q)} \, dq

TC(q) = \int {200*(q+9)^{-5}} \, dq

TC(q) = -50*(q+9)^{-4} + K

In which K, the integrative constant, is the fixed cost. So K = 4000.

1. Find the total cost of producing 91 units of ACME rocket fuel.

This is TC(91).

So

TC(91) = -50*(91+9)^{-4} + 4000 = 3999.99

The total cost of producing 91 units of ACME rocket fuel is $3999.99.

8 0
3 years ago
When 3(2x-5) is added to 2(4-x) the result is
enyata [817]
Hello,

3(2x-5)+2(4-x)
=6x-15+8-2x
=4x-7

7 0
3 years ago
hello this is a thing that i have to do in a few days i posted it earlier bc no one likes to answer my questions anywayy correct
AlekseyPX

Answer:

Step-by-step explanation:

3 0
3 years ago
What is 15% of ____ is 27
serious [3.7K]

Answer:

it's 180

15% of 180 is 27

hope it helps :)

3 0
3 years ago
Read 2 more answers
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