Given:
A triangle has side lengths of (7.8v+2.6) centimeters, (5.3v+4.5) centimeters, and (2.4w-6.7) centimeters.
To find:
The expression which represents the perimeter, in centimeters, of the triangle.
Solution:
We know that
Perimeter of a triangle = Sum of length of all sides of the triangle

Now, combine like terms.


Therefore, the expression for perimeter, in centimeters, of the triangle is
.
Step-by-step explanation:
I think what is meant in the triangle ABC we have the three angles.
the sum of all angles in a triangle is airways 180 degrees.
so,
180 = A + B + C
180 = 42 + B + C
now, we know also that
B = 5×C
so, we can use that above
180 = 42 + 5×C + C
138 = 6×C
C = 138/6 = 23 degrees
B = 5×C = 5×23 = 115 degrees
Answer:
![[0,2]](https://tex.z-dn.net/?f=%5B0%2C2%5D)
Step-by-step explanation:
A local maximum or local minimum is the point where the tangent drawn to it is parallel to the x axis.
The crest of a wave is local maximum and the trough of wave is local minimum.
Here, in the graph, there are 2 troughs and 1 crest.
The crest is at
. So, the local maximum is at
.
The interval of the local maximum is between
and
.
So, the option that matches with the above interval is
.
Answer:
y=4x-3
Step-by-step explanation:
First, write your equation as y=4x+b. Plug in your coordinate to the equation, it should look like this: -7=4(-1)+b. Multiply 4 by -1 to get -4. It should look like this: -7= -4+b. Add 4 to both sides to get your y-intercept of -3. Go back to your original equation and plug in -3 to b. This is your final equation: y=4x-3. Hope this helped!
Answer:
5:6
Step-by-step explanation:
To find the ratio of side lengths you need to cube root of the ratio of the volumes. The reason you use the cube root is because you are multiplying 3 things together when you find volume.
![\sqrt[3]{\frac{125}{216} } =\frac{5}{6}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B125%7D%7B216%7D%20%7D%20%3D%5Cfrac%7B5%7D%7B6%7D)
5 : 6