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kifflom [539]
3 years ago
8

The angles in a triangle are such that one angle is 120 degrees more than the smallest angle, while the third angle is 3 times a

s large as the smallest angle. Find the measures of all three angles.
Mathematics
1 answer:
Westkost [7]3 years ago
7 0

Answer:

a = 132; b = 12; c = 36

Step-by-step explanation:

a = b + 120

b = b

c = 3b

a + b + c = 180

(substitute these into the above equation)

b + 120   + b    + 3b  = 180

5b + 120 = 180

       -120    -120

5b = 60

/5     /5

b = 12

(substitute b back into the first equations)

a = (12) + 120 = 132

b = (12)

c = 3(12) = 36

(check: 132 + 12 + 36 = 180)

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Given a sphere with a radius of 3cm, find its volume to the nearest whole number.
Travka [436]

Answer:

V≈113.1cm³  radius = 3 cm

Step-by-step explanation:

5 0
3 years ago
Can someone help me out here please?
S_A_V [24]

Step-by-step explanation:

Area of circle:

A=π*(r^2)=π*(16^2)=256π ft^2

Area of the figure:

A=(3*256π)/4=192π=603.185=603.18 ft^2

5 0
2 years ago
Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function?
Elza [17]

For this case we have the following definitions:


A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.


A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.


We then have the following function:

f (x) = 9 - 4x ^ 2


Applying the definitions we have:

f (-x) = 9 - 4 (-x) ^ 2\\f (-x) = 9 - 4 (x) ^ 2\\f (-x) = f (x)


Answer:

The function is not odd because it is fulfilled:

f (-x) = f (x)

Therefore, the function is even.

5 0
3 years ago
Read 2 more answers
Two equations are given below: a – 3b = 22 a = b – 2 What is the solution to the set of equations in the form (a, b)? (–10, –8)
aliya0001 [1]
Hi Kristian

a - 3b = 22
a = b - 2

We need to solve a = b -2 for a
First, we need to substitute b - 2 for a in a - 3b = 22
a - 3b = 22
b - 2 - 3b = 22
-2b - 2 = 22
 -2b = 22 + 2
-2b = 24
b = 24/-2
b = -12

Now substitute -12 for b in a = b - 2
a = b -2
a= -12 - 2
a= -14

Thus, the solution is a = -14 and b = -12

The correct option is the last one (-14,-12)


If you have questions about my answer, please let me know.


Good luck! 

4 0
3 years ago
Needhdjdjdjdjdjdnhiskdjdjdjdjdjdjjshdjdjdjdjdjdjdjd<br><br>​
Lilit [14]

9514 1404 393

Answer:

  -(√2)/2

Step-by-step explanation:

The expression evaluated at n=a gives the indeterminate form 0/0, so L'Hopital's rule can be used to find the limit. The second expression comes from differentiating numerator and denominator. Then the form with n=a is no longer indeterminate.

  \displaystyle\lim_{n\to a}{\frac{\sqrt{2n}-\sqrt{3n-a}}{\sqrt{n}-\sqrt{a}}}=\lim_{n\to a}{\frac{\frac{2}{2\sqrt{2n}}-\frac{3}{2\sqrt{3n-a}}}{\frac{1}{2\sqrt{n}}-0}}\\\\=\sqrt{a}\left(\frac{2}{\sqrt{2a}}-\frac{3}{\sqrt{3a-a}}}\right)=\boxed{-\frac{1}{\sqrt{2}}}

5 0
3 years ago
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