Answer:
128
Step-by-step explanation:
all angles of a triangle will always equal 180
so, we know 2 angles
180-40
140-1128
The longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.
<h3>How to measure diagonal of the cuboid?</h3>
The length of the diagonal of the cuboid is found out using the following formula.
Here, (l) is the length of the cuboid, (w) is the width, and (h) is the height of the cuboid.
The wood has to buy to build a gate for backyard. The car trunk has the following dimensions (47 inches by 33 inches by 19.5 inches). Here, we have,
- Length (l)=47 in
- Width (w)=33 in
- Height (h)=19.5 in
The longest piece of wood which fits is equal to the length of diagonal of cuboid. Put the values in the formula,
Thus, the longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.
Learn more about the cuboid here;
brainly.com/question/22694657
#SPJ1
Remember that the volume of a cylinder is
so we have that
![r=\sqrt[]{\frac{V}{\pi\cdot h}}=\sqrt[]{\frac{1909.92384}{3.14\cdot6.6}}=\sqrt[]{92.12}=9.6](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B%5D%7B%5Cfrac%7BV%7D%7B%5Cpi%5Ccdot%20h%7D%7D%3D%5Csqrt%5B%5D%7B%5Cfrac%7B1909.92384%7D%7B3.14%5Ccdot6.6%7D%7D%3D%5Csqrt%5B%5D%7B92.12%7D%3D9.6)
so the radius is 9.6 milimeters
Answer:
Option (b) is correct.
The expression is equivalent, but the term is not completely factored.
Step-by-step explanation:
Given : a student factors to
We have to choose the correct statement about from the given options.
Given is factored to
Consider
Using algebraic identity,
comparing and b = 4, we have,
Thus, the factorization is equivalent but we can simplify it further also, as
Using algebraic identity,
Thus,
Can be written as
Thus, the expression is equivalent, but the term is not completely factored.
Option (b) is correct.
Answer:y=-5(x+11)^2 -28
Step-by-step explanation: Okay think about what you know about translations and transformations of parent functions. In this case, the parent function is x2. So what now?
First, the problem states that the parabola opens DOWN. This means that you should look for a negative leading coefficient. This narrows your options down to C or D. (-5 is the leading coefficient)
Now starting with the x2, the vertex would be at (0,0), but in this problem it is at (-11,-28). That means it was TRANSLATED 11 spots in the negative x-direction and 28 spots in the negative y-direction.
Look at your options, when a number is being added directly unto the x variable, such as in answer C, it moves in the negative x-direction. This tells you that C has to be your answer.
I hope that helps!
