A.
Sam's work is correct so far. He used the addition property of equality.
B.
Roy's work is correct so far. He used the addition property of equality.
C.
Sam's work is correct so far. He used the subtraction property of equality.
D.
Roy's work is correct so far. He used the subtraction property of equality.
Answer:
The correct option is D.
Step-by-step explanation:
The given equation is
According to the addition property of equality and are equivalent equations.
Use addition property of equality, add 3x on both the sides.
Therefore Sam's work is incorrect because he make calculation mistake.
According to the subtraction property of equality and are equivalent equations.
Use subtraction property of equality, subtract 5x from both the sides.
Therefore Roy's work is correct because he used subtraction property.
Option D is correct.
Answer: Her height in centimeters will be 460 cm.
Step-by-step explanation:
Since we have given that
Average height of a female giraffe = 4.6 meters
As we know that
So, we need to convert 4.6 meters into centimeters.
And we know that meters is more than centimeters so, we use the product operation.
So, her height in centimeters will be 460 cm.
The average height of a female giraffe in centimetres is 460 cm.
Given:
The average height is 4.6 meters (m). What is its height in centimeters? So, in this problem, we are going to convert meters (m) to centimeters (cm)
As we know that :
so to convert meter to centimeter, just multiply it with 100 cm
There is another way to do it, in three step:
We can cancel the meter (m) because it is both on top and the bottom
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Keywords: conversion, converting,unit of length, metric system of measurement, meter to centimeter, unit conversion
Answer:
As per the statement:
The angle of depression of a boat at sea from a 100 foot lighthouse is 20 degrees.
We draw the figure for this problem as shown below:
Height of the lighthouse(BC) = 100 foot
Angle of depression = 20 degrees.
Since, angle of depression is equal to the angles of elevation
i.e,
using tangent ratio:
Here,
Opposite side = BC = 100 foot
Adjacent side = AB
Angle of elevation:
Substitute these to solve for AB:
or
Simplify:
AB = 294.375362123 foot
Therefore, the distance to the boat approximately is 294.4 foot
By using the tangent function with the given height of the lighthouse and the angle of depression, we can solve for the distance to the boat, which is approximately 274.1 feet.
In this scenario, we can use trigonometry to find the distance to the boat. Since we know that the lighthouse is 100 feet high and the angle of depression is 20 degrees, this fits the scenario for a tangent function, where tangent of an angle equals the opposite side divided by the adjacent side.
Setting up our function, we get tan(20) = 100/ distance to the boat. Since we want to find the distance to the boat, we can rearrange the equation to be distance to the boat = 100 / tan(20).
Doing this calculation, we find that the distance to the boat is approximately 274.1 feet.
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Answer: 384 in²
Step-by-step explanation: Surface area is the sum of the areas of all of the faces of a three-dimensional figure.
So to find the surface area of a cube, it's important to understand that each face of a cube has the same area. So we can simply find the area of one face of a cube and multiply it by the number of faces which is 6.
To find the area of one face of a cube, we can use the formula for the area of a square.
Area = S²
Since the length of a side is 8 inches, we have (8 in.)² or 8 inches x 8 inches which gives us 64 in.².
Now, since there are 6 sides to a cube, we have (64 in.)² (6) which is equal to 384 inches².
Therefore, the surface area of the cube is 384 in².