−4(5 − 3x) = 12x + 20
Solve for x:
First use the Distributive property:
-20 + 12x = 12x +20
Add 20 to both sides:
12x =12x + 40
Now you can't get X by itself, because both sides of the equation have the same quantity of x ( they both have 12x).
This means there is no solution.
Answer:
Cabin is 567 yards away...
Step-by-step explanation:
The angle 21.2° is also the angle of the upper interior angle of the triangle (near the cabin)
Use the tan function:
opposite = 220 yards
adjacent = x
tan(21.2°) = (opposite / adjacent)
tan(21.2°) = 220 yards/x
x * tan(21.2°) = 220 yards
x = 220 yards/ tan(21.2°)
x= 220/ 0.388
x = 567 yards.
Cabin is 567 yards away...
the maximum height is the y-value of the vertex.
h(x) = -2x² + 20x + 48
<em> a=-2, b=20, c=48</em>
h(5) = -2(5)² + 20(5) + 48
= -50 + 100 + 48
= 50 + 48
= 98
Answer: 98 meters
We know that
volume of <span>a rectangular prism =B*h------> equation 1
where
B is the area of the base
h is the height
volume of </span><span>a rectangular pyramid=(1/3)*B*h-----> equation 2
where
</span>B is the area of the base
h is the height
<span>
substitute equation 1 in equation 2
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
the answer part a) is
</span>volume of a rectangular pyramid=(1/3)*volume of a rectangular prism
<span>
Part b) </span><span>If the pyramid was full of water, how much of the prism would it fill up?
</span>
the answer part b) is
<span>If the pyramid was filled with water, the prism would only fill 1/3 of its volume
Part c) </span><span>Name another pair of three-dimensional objects that have a relationship similar to this
cones and cylinders
</span>volume of a cylinder =B*h------> equation 1
where
B is the area of the base
h is the height <span>
</span>volume of a cone=(1/3)*B*h-----> equation 2
where
B is the area of the base
h is the height
substitute equation 1 in equation 2
volume of a cone=(1/3)*volume of a cylinder
For rectangle
l=3.07m
b=2.24m
so longest side that can be drawn is diagonal of rectangular board
=squareroot l^2+b^2
=squareroot3.07^2+2.24^2
=squareroot9.4249+5.0176
=squareroot14.4425
=3.80
So longest line that can be drawn in rectangular board is 3.80m
