Answer:
B, C, and D are all equivalent to 3(4h+2k)
Step-by-step explanation:
We use the distributive property to say 3(4h+2k)=12h+6k
"A" distributes to 12k+6h
"B" distributes to 12h+6k
"C" distributes to 6k+12h (associative property works)
"D" is already distributed to 12h+6k
So A is wrong, and B, C, and D are right
Hope this made sense!
Answer:
Part A
71°
Part B
The ladder is been used safely
Step-by-step explanation:
Part A
We solve the above question using Trigonometric function of Cosine
cos x = Adjacent/Hypotenuse
Adjacent = The distance between the house and the bottom of the ladder = 4 feet
Hypotenuse = Length of the ladder = 12 feet
x = Angle
Hence:
cos x = 4/12
cos x = 1/3
x = arc cos (1/3)
x = 70.528779366°
Approximately to the nearest degree
= 71°
Part B
According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards. Is this ladder being used safely?
Angle x = 71°
Therefore, the ladder is been used safely
We have been given that a vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. We are asked to find the volume of the solid part of the vase
.
The volume of solid part of the vase is equal to volume of rectangular vase minus volume of inside of the vase.
We know that volume of rectangular prism is length times width times height.



Therefore, the volume of the solid part of the vase is 1560 cubic cm.
The intersection between the complement of set A and the complement of set B is 7.
<h3>What is a Venn diagram?</h3>
A Venn diagram is a visual representation that shows mathematical sets as circular curves inside of a rectangle (known as the universal set).
From the Venn diagram, we are to find the intersection between the complement of set A and the complement of set B.

Therefore, the intersection between the two sets is the set of elements that exists in both of them. Therefore, we have:

Learn more about the Venn Diagram here:
#SPJ1
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