Answer:
Option (4)
Step-by-step explanation:
Volume of a rectangular prism is given by the formula,
Volume = Length × Width × Height
From the picture attached,
Length of the prism = 5 cm
Width of the prism = 
= 
cm
Height of the prism = 
= 
cm
Volume of the given prism = 
× ×
= 
= 
= 
cm³
Therefore, Option (4) is the correct option.
Answer:
224.7 days
Step-by-step explanation:
Venus is the second planet out of the nine planets and it precedes the planet earth. Venus has an orbital distance of 0.72 AU from the sun while Earth has an orbital distance of 149.60 million km from the sun. Due to these distances, the Venus completes one orbit around the sun in 224.7 days while the Earth complete one orbit around the sun in 365.256 days but in a leap year, it completes one orbit around the sun in 366 days.
Answer:
∠STU = 69°
Step-by-step explanation:
The angle with vertex T is called an "inscribed angle." It intercepts arc SU. The relationship you are asked to remember is that the measure of the inscribed angle (T) is half the measure of the arc SU.
Point V is taken to be the center of the circle. The angle with vertex V is called a "central angle." It also intercepts arc SU. The relationship you are asked to remember is that the measure of the central angle (V) is equal to the measure of arc SU.
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Using these two relationships together, we realize angle V is twice the measure of angle T:
∠SVU = 2×∠STU
18x +12° = 2(18x -57°) . . . . . . relationship between the marked angles
18x +12° = 36x -114° . . . . . eliminate parentheses
126° = 18x . . . . . . . . . . . add 114°-18x
∠STU = 18x -57° = 126° -57°
∠STU = 69°
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<em>Additional comment</em>
You may notice we did not solve for x. We only needed to know the value of 18x, so we stopped when we found that value. (Actually, we only need the value of 18x-57°. See below.)
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<em>Alternate solution</em>:
(18x +12°) -(18x -57°) = 18x -57° . . . . . . . subtract 18x -57° from both sides of the first equation.
69° = 18x -57° . . . . . simplify. This is the answer to the problem.
Answer:
wh
Step-by-step explanation:
Answer:
4 + 5i
Step-by-step explanation:
To calculate this you have to combine the like terms until they cannot be combined any further:
7 + 10i + 4 - 10i - (7 - 5i)
11 + 0i - 7 - 5i
7 & 4 are liked terms so add them together + subtract 10i and 10i
4 + 5i <--- Final answer
Hope this helps!
