Answer:
D - 33.75
Step-by-step explanation:
If the rectangles are similar, then you can use this cheat:
Width:
9/4 = 2.25
2.25 is the scale factor between the two rectangles.
Using the new-found scale factor, you can do this:
15 x 2.25 = 33.75
This means the length on the second rectangle is 33.75 inches long.
Hoping this helps you! :)
Unsure of what you mean by "6-23." There's no subtraction in this problem.
If you meant "6/23," then "doubling" that results in 12/23 cups. Still, that does not look right. Go back and ensure that you have copied down the original problem exactly.
Substitute the values of the radius <span>(<span><span>r=3</span>),</span></span><span> the </span>height <span>(<span><span>h=11</span>),</span></span><span> and an approximation of </span>Pi <span>(<span>3.14)</span></span><span> into the </span>formula<span> to find the </span>volume<span> of the </span>cone<span>.
</span><span>V≈+<span>1/3</span>⋅3.14⋅<span>3^2</span>⋅11
</span><span>Simplify.
</span>Write 3.14<span> as a </span>fraction<span> with </span>denominator <span>1.</span><span>
</span><span>V≈+<span>1/3</span>⋅<span>3.14/1</span></span> <span>
</span>Combine <span>1/3</span><span> and </span><span>3.14/1</span><span> to get </span><span><span>3.14/3</span>.</span><span>
</span><span>V≈+<span>3.14/3</span></span><span>
</span>
Replace back in to larger expression<span>.
</span><span>V≈+<span>3.14/3</span>⋅<span>3^2</span>⋅11</span><span>
</span>
Divide 3.14<span> by </span>3<span> to get </span><span>1.04666667.
</span><span>V≈+1.04666667⋅<span>3^2</span>⋅11
</span>Raise 3<span> to the </span>power<span> of </span>2<span> to get </span><span>9.
</span><span>V≈+1.04666667⋅9⋅11
</span>Multiply 1.04666667<span> by </span>9<span> to get </span><span>9.42.
</span><span>V≈+9.42⋅11
</span>Multiply 9.42<span> by </span>11<span> to get </span><span>103.62.
</span><span>V≈+103.62
</span>Remove trailing zeros<span> from </span><span>103.62.
</span><span>V≈+103.62</span><span>f<span>t^3
Volume:
</span></span>V≈+103.62ft^3
Answer:
y = 0.5sin(4x)
Step-by-step explanation:
y = A sin(B(x + C)) + D
amplitude is A = 0.5
B = 2π/period = 2π / (1/2 π) = 4
phase shift is C (positive is to the left) = 0
vertical shift is D = 0
Answer:
y= -x
Step-by-step explanation:
y= -x
