Answer:
5,120 cm³
Step-by-step explanation:
Volume = Base area × height
Base area = 160 cm²
Height = 32 cm
Vol. = 160 × 32
= 5,120 cm³
<h2>
Mishka's speed = 14 km/hr</h2><h2>
Current speed = 2 km/hr</h2>
Step-by-step explanation:
Let the speed of rowing be r and speed of current be c.
If he rows with the current, Mishka rows 48 km in 3 hours.
Relative speed = r + c
Distance = 48 km
Time = 3 hours
48 = 3 x ( r+c)
r + c = 16 ---------------------------eqn 1
If he rows against the current, it takes 4 hours to travel the same distance.
Relative speed = r - c
Distance = 48 km
Time = 4 hours
48 = 4 x ( r - c)
r - c = 12 ---------------------------eqn 2
eqn 1 + eqn 2
2r = 28
r = 14 km/hr
Substituting in eqn 1
14 + c = 16
c = 2 km/hr
Mishka's speed = 14 km/hr
Current speed = 2 km/hr
Answer:
108º
Step-by-step explanation:
to find the sum of interior angles: ( n − 2 ) × 180 = x
x = 540º
n = # of interior angles
first, solve for n
(n - 2) • 180 = 540 distribute to 180 to (n - 2)
180n - 360 = 540 add 360 to both sides
180n = 900 divide both sides by 180
n = 5
to find measure of each angle:
540 ÷ 5 = 108º
The square root of 45 is simplified to 3 root 5. Rounded in decimal form, 6.708
Answer:
Horizontal shift of 4 units to the left.
Vertical translation of 8 units downward.
Step-by-step explanation:
Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:
The vertex form of the quadratic function is y = a(x - h)² + k
Where:
The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).
The axis of symmetry occurs at <em>x = h</em>.
<em>a</em> = determines whether the graph opens up or down, and makes the graph wider or narrower.
<em>h</em> = determines how far left or right the parent function is translated.
<em>k</em> = determines how far up or down the parent function is translated.
Going back to your quadratic function,
y = (x + 4)² - 8
- The vertex occrs at (-4, -8)
- a is assumed to have a value of 1.
- Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.
- Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.
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