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marta [7]
2 years ago
11

Write your answer in simplest radical form​

Mathematics
2 answers:
Svetach [21]2 years ago
8 0

Answer:

9\sqrt{3}

Step-by-step explanation:

This is a 30-60-90 triangle.

It's good to remember this. The side length opposite to the 60 degree angle is always the base multiplied by \sqrt{3}

Dvinal [7]2 years ago
7 0

Answer:

9√3.

Step-by-step explanation:

tan 60 = √3

So w/9 =√3

w = 9√3

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Find the value of each variable<br> x= <br> y=<br> z=
zvonat [6]

Answer:

Step-by-step explanation:

A 45 degree angle in a right triangle produces 2 equal sides. In this case z and the perpendicular line are equal. So that's were we'll start. Then you move on to the 60 degree angle to get x and y.

Finding z

z^2 + z^2 = (24√2)                    Combine the left

2z^2 = 24^2 * 2                         Divide both sides by 2

2z^2/2 = 24^2/2

z^2 = 24^2                                 Take the square root of both sides

√z^2 = √24^2

z = 24

Finding x and y

The perpendicular = 24. Because it is a 60 degree angle that's given, we can do this without a calculator.

Tan 60 = opposite over adjacent

sqrt(3) = Perpendicular / z                      Multiply both sides by z

z*sqrt(3) = perpendicular

The above calculation tells us the perpendicular is 24

z*sqrt(3) = 24                                           Divide by sqrt 3

z = 24/√3

z = 24/1.73

z = 8√3

Finding x

Use Pythagoras to determine x

Perpendicular^2 + (8√3)^2 = x^2

24^2 + 8^2*3 = x^2

576 + 192 = x^2

768 = x^2

√x^2 = √768

x = 27.71

7 0
1 year ago
Carry out three steps of the Bisection Method for f(x)=3x−x4 as follows: (a) Show that f(x) has a zero in [1,2]. (b) Determine w
ELEN [110]

Answer:

a) There's a zero between [1,2]

b) There's a zero between [1.5,2]

c) There's a zero between  [1.5,1.75].

Step-by-step explanation:

We have f(x)=3^x-x^4

A)We need to show that f(x) has a zero in the interval [1, 2]. We have to see if the function f is continuous with f(1) and f(2).

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(2)=3^2-(2)^4=9-16=(-7)

We can see that f(1) and f(2) have opposite signs. And f(1)>f(2) and the function is continuous, this means that exists a real number c between the interval [1,2] where f(c)=0.

B)We have to repeat the same steps of A)

For the subinterval [1,1.5]:

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13

f(1) and f(1.5) have the same signs, this means there's no zero in the subinterval [1,1.5].

For the subinterval [1.5,2]:

f(x)=3^x-x^4\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13\\\\f(2)=3^2-(2)^4=9-16=(-7)

f(1.5) and f(2) have opposite signs, this means there's a zero between the subinterval [1.5,2].

C)We have to repeat the same steps of A)

For the subinterval [1,1.25]:

f(x)=3^x-x^4\\\\f(1)=3^1-(1)^4=3-1=2\\\\f(1.25)=3^1^.^2^5-(1.25)^4=3.94-2.44=1.5

f(1) and f(1.25) have the same signs, this means there's no zero in the subinterval [1,1.25].

For the subinterval [1.25,1.5]:

f(x)=3^x-x^4\\\\f(1.25)=3^1^.^2^5-(1.25)^4=3.94-2.44=1.5\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13

f(1.25) and f(1.5) have the same signs, this means there's no zero in the subinterval [1.25,1.5].

For the subinterval [1.5,1.75]:

f(x)=3^x-x^4\\\\f(1.5)=3^1^.^5-(1.5)^4=5.19-5.06=0.13\\\\f(1.75)=3^1^.^7^5-(1.75)^4=6.83-9.37=(-2.54)

f(1.5) and f(1.75) have opposite signs, this means there's a zero between the subinterval [1.5,1.75].

For the subinterval [1.75,2]:

f(x)=3^x-x^4\\\\f(1.75)=3^1^.^7^5-(1.75)^4=6.83-9.37=(-2.54)\\\\f(2)=3^2-(2)^4=9-16=(-7)

f(1.75) and f(2) have the same signs, this means there isn't a zero between the subinterval [1.75,2].

The graph of the function shows that the answers are correct.

6 0
2 years ago
Please help me it is a quiz
fredd [130]

Answer:

Step-by-step explanation: I CAN HELP YOU what is the question

4 0
2 years ago
Can I get another answer please ?
gavmur [86]
G(x) = x^2 + 2x + 6
g(x) = x^2 + 2x + 1 + 5
g(x) = (x+1)^2  + 5

so
f(x) = x^2 to g(x) = (x+1)^2  + 5
shifted to the left 1 unit and up 5 units

answer is A. left 1 unit and up 5 units
4 0
3 years ago
PLSS HELPP!!! Thanks!
Airida [17]

The Slope is 0 (there is no incline or decline therefore there is no slope)

6 0
3 years ago
Read 2 more answers
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