Answer: Let's start by writing down coordinates of all points:
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
A(0,0,0)
Reflecting
A(0,0,0)
B(0,5,0)
Reflecting
B(0,-5,0)
C(3,5,0)
Reflecting
C(3,-5,0)
D(3,0,0)
Reflecting
D(3,0,0)
b.)
A(0,0,0)
Moving
A(-2,-3,1)
B(0,-5,0)
Moving
B(-2,-8,1)
C(3,-5,0)
Moving
C(1,-8,1)
D(3,0,0)
Moving
D(1,-3,1)
Hope this helps plz mark brainliest
Step-by-step explanation:
Answer:1/10 of city
Step-by-step explanation:City A is 10 times elevation of city D
Answer:
v = 37 yards
Step-by-step explanation:
Volume of a rectangular prism = width × length × height
Given:
- volume = 51,615 yd³
- width = v
- length = 93 yd
- height = 15 yd
Substituting the given values into the formula and solving for v:
⇒ 51615 = v × 93 × 15
⇒ 51615 = 1395 v
⇒ v = 51615 ÷ 1395
⇒ v = 37
Lets find how many boys there are.
First we add the ratios:
7 + 5 = 12
Then we divide the total number of students by this:
240 / 12 = 20
Now to find out how many boys there are, we times this by the ratio of boys:
20 x 5 = 100
Finally we divide the number boys, by the total number of students. We then times this number 100 to change it from a decimal to a percentage.
100 / 240 = 0.41666 (Multiply this by 100 to get the percentage)
0.41666 x 100 = 41.67%