Answer:
The surface area of the paperweight is 
Step-by-step explanation:
we know that
The surface area of the triangular prism is equal to the area of its triangular base plus the area of its three triangular lateral faces
so
<em>Find the area of its triangular base</em>
<em>Find the area of its three triangular lateral faces</em>
![SA=3[\frac{1}{2}(2)(2.2)]](https://tex.z-dn.net/?f=SA%3D3%5B%5Cfrac%7B1%7D%7B2%7D%282%29%282.2%29%5D)
Adds the areas
9514 1404 393
Answer:
y = -5/3x -13/3
Step-by-step explanation:
In any "solve for ..." problem, it is useful to start by identifying where the target is and what has been done to it. Here, y is in one term on the left side of the equation and it has had these things done to it:
We want to undo these in reverse order. We undo addition by adding the opposite. We undo multiplication by multiplying by the reciprocal (equivalently, dividing). <em>Whatever we do to one side of the equation, we must also do to the other side</em>.
So, first we add the opposite of -5x to both sides of the equation.
-5x +5x -3y = 13 +5x
-3y = 13 +5x . . . . . . . . . collect terms
Next, we undo the multiplication by -3. We can do that by multiplying both sides by 1/(-3) = -1/3.
(-1/3)(-3y) = (-1/3)(13 +5x)
y = -5/3x -13/3 . . . . . also we rearranged the terms to standard form
Jenna has $43 and Heidi has $17.
Step-by-step explanation:
Total amount = $60
Let,
Amount of Jenna = x
Amount of Heidi = y
According to given statement;
x+y=60 Eqn 1
x=2y+9 Eqn 2
Putting value of Eqn 2 in Eqn 1;
Dividing both sides by 3,
Putting y=17 in Eqn 2
Jenna has $43 and Heidi has $17.
Keywords: linear equations, substitution method
Learn more about substitution method at:
#LearnwithBrainly
Rational numbers are numbers which can be written as a fraction (the formula is p/q). They don't include roots we can't solve in order to get a whole number and pi.
A. 776, pi, 25.209, √9 ---> NO (because of pi)
B. 726, 7/34, 20.209, √9 ---> YES
C. √3, 7/39, 20.3, √9 ---> NO (because of √3)
D. 726, 7/34, 20.209, √5 ---> NO (because of √5
Note that √9 = 3, so it IS a rational number.
The answer to question 1 is n=-17, and the answer to question 2 is y=-5.8 (<u>could also be seen as -29/8</u>)
Work is shown in the pictures below
