Raymond spends 1/10 of his vacation budget on a car rental. Write an expression for how much he has to spend on the rest of his
2 answers:
You might be interested in
For a better understanding of the solution, please follow the diagram in the attached file.
A regular quadrilateral is basically a square.
So, if the base of the prism has a perimeter of 60 cm, then the length of the side of the square will be . It is shown of the diagram.
Now, from the diagram, it is clear that the lateral face area, which is given as 105 cm^2, is the product of the side of the square, which is known, and the unknown height, let us call it h. Thus, we will get the following equation:
This is depicted on the diagram.
Now, all our required parameters are in place. Thus, let us find what has been asked.
<u>SURFACE AREA</u>
Surface Area (SA) will be the sum of the areas of the two bases (squares) and the areas of the four lateral faces.
Since the side of one square base is 15 cm, therefore, the area of one square base will be .
Likewise, the area of one lateral surface is actually the area of a rectangle with length 15 cm and height 7 cm. Thus, it's area will be given as: .
Thus, our equation will be:
Therefore, Surface Area=870 cm^2
<u>VOLUME OF THE PRISM</u>
The volume of the prism will simply be the area of the base times the height of the prism.
Thus, the volume is:
Answer:
x=9,-1 and
Explanation:
we have been given with the quadratic equation
we compare the given quadratic equation with general quadratic equation
general quadratic is
from given quadratic equation a=1,b= -8,c= -9
substituting these values in the formula for discriminant
Now, to find the value of x
Formula is
Now, substituting the values we will get
And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of
Answer:
See below
Step-by-step explanation:
<u>Given points:</u>
- S(-3,6),T(0,7),U(1,4),and V(-5,2)
<u>Translation rule: </u>
- (x,y) → (x+7,y-9)
<u>New coordinates by applying the rule:</u>
- S'(4, -3), T'(7, -2), U'(8, -5), V'(2, -7)
See attached for the graph
The blue trapezoid is STUV and the red one is S'T'U'V'
