Answer:
1 : 5 2 : 10 3 : 15 4 : 20 5 : 25
Step-by-step explanation:
Answer:
The angle of x is 83°
Step-by-step explanation:
A straight line has a total of 180°. That means if you can figure out what the third angle on the bottom is (the one in the middle) you can add 41 to it and subtract that from 180. Since all the lines are straight you can say that the middle angle on the bottom is the same as the middle angle on the top. So:
180° - (41° + 56°) = 83°
By taking a common factor, we will see that the equivalent expression is:
![12*\sqrt[3]{6c}](https://tex.z-dn.net/?f=12%2A%5Csqrt%5B3%5D%7B6c%7D)
<h3>
How to find the equivalent expression?</h3>
Here we start with the expression:
![5*\sqrt[3]{6c} + 7*\sqrt[3]{6c}](https://tex.z-dn.net/?f=5%2A%5Csqrt%5B3%5D%7B6c%7D%20%2B%207%2A%5Csqrt%5B3%5D%7B6c%7D)
Notice that if we define:
![\sqrt[3]{6c} = u](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B6c%7D%20%3D%20u)
We can rewrite our expression as:

Now we can take the common factor u to write:

Now if we replace u y the cubic root, we will get:
![12*\sqrt[3]{6c}](https://tex.z-dn.net/?f=12%2A%5Csqrt%5B3%5D%7B6c%7D)
So the correct option is the third one.
If you want to learn more about expressions:
brainly.com/question/2972832
#SPJ1
2nd one, x^2 + 8x + 4
add 2x^2-x^2, 6x+2x, -3+7
Answer:
a) P=2(L+W)
b)
c)-2 inch/hour
Step-by-step explanation:
given:
length of the rectangle as L inches
width of the rectangle as W inches
a) The perimeter is defined as <u>the measure of the exterior boundaries</u>
therefore, for the rectangle the perimeter 'P' will be
P= length of AB+BC+CD+DA (A,B,C and D are marked on the figure attached)
Now from figure
P= L+W+L+W
OR
=> P=2L+2W .....................(1)
b)now dp/dt can be found as by differentiating the equation (1)
.............(2)
c)Now it is given for the part c of the question that
L=40 inches
W=104 inches
dL/dt=2 inches/hour
dW/dt= -3 inches/hour (here the negative sign depicts the decrease in the dimension)
substituting the above values in the equation (2) we get

