15.) Determine if the two parallelograms are similar. Explain your reasoning.
1 answer:
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Answer:
8 inches
Step-by-step explanation:
Given: Dimension of rectangular container=
Water is filled up to a level 2 inches from the top.
As given that container is sitting on its largest face, then it is standing on
Which means the height of container is 6 inches and it ie filled with water up to 2 inches from the top.
∴ Height of water inside the container=
Now, finding the volume of water inside.
we know, Volume=
Volume=
Next, if container is placed in its smallest face then it is standing on and lets assume height to be "x"
Forming an equation now to express the volume conservation law.
⇒
⇒
dividing both side by 60
⇒
∴ x= 8 inches
Hence, 8 inches from the bottom will the water level reach if the container is placed on its smallest face
Answer:
32°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the trig function relating angles to the opposite and adjacent sides of the triangle is ...
Tan = Opposite/Adjacent
The side opposite the angle x is shown as having measure 5; the side adjacent has measure 8. Putting all this in the above equation gives ...
tan(x) = 5/8
To find the angle from the value of the tangent, you use the inverse of the tangent function. The name of that is the <em>arctangent</em> function. It is often written as tan⁻¹(x) and often accessible on your calculator using a "second function" key. Some calculators, like the one shown in the attachment, recognize the arctan function name.
x = arctan(5/8) ≈ 32°
The value of x rounded to the nearest whole degree is 32°.
