Answer:
117
Step-by-step explanation:
Given the expression
r³ - 2s ← substitute given values into the expression
= 5³ - 2(4)
= 125 - 8
= 117
Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
The volume of the prism is calculated by multiplying the length, L, width,W, and depth or height, H.
V = L x W x H
Fish tank:
V = 50 cm x 25 cm x 25 cm
= 31250 cm³
Depth of the water in tank (with castle - without castle)
d = 57.5 cm - 48 cm = 9.5 cm
Volume of the caste:
V = 9.5 cm x 50 cm x 25 cm = 11875 cm³
ANSWER
C) Triangle
EXPLANATION
Solving a triangle is the process of calculating unknown side lengths or angle measures of a triangle if certain of the side lengths and/or angle measures are known.
We use the sine rule and cosine rule to find the missing sides and angles.
If the triangle has a right angle, then this is a special case, where we can use the trigonometric ratios and the Pythagoras theorem to find the unknown angles and sides.
