Then with the appropriate order of operations,
Evaluate and simplify.
1. Three less than the product of thirteen squared and four.
2. The product of eight minus six and x.
3. The square root of thirty-six plus the sum of with and four squared.
4. Nineteen less than the product of seven and four minus the quotient of sixteen and four.
Symbolic form of the written expression are,
1.
2.
3.
4.
Here, given written expression are,
1. Three less than the product of thirteen squared and four.
2. The product of eight minus six and x.
3. The square root of thirty-six plus the sum of with and four squared.
4. Nineteen less than the product of seven and four minus the quotient of sixteen and four.
What is symbolic form?
A sentence written in symbolic form uses symbols and logical connectors to represent the sentence logically.
Now,
First statement is,
1. Three less than the product of thirteen squared and four.
Its symbolic representation,
⇒
Second statement is,
2. The product of eight minus six and x.
Its symbolic expression,
⇒
Third statement is,
3. The square root of thirty-six plus the sum of with and four squared.
Its symbolic expression is,
⇒
Fourth statement is,
4. Nineteen less than the product of seven and four minus the quotient of sixteen and four.
Its symbolic expression is,
⇒
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Answer:
Three points determine a plane.
:)
Answer:
Three
Step-by-step explanation:
When Kyle is in the pulled-back position with the rope forming a 30° angle with the vertical, his height off the ground is 6 feet.
To find Kyle's height off the ground, x, when he is in the pulled-back position, we can use trigonometry.
First, let's draw a diagram to visualize the situation.
The swing set is represented by a vertical line, and the rope forms an angle of 30° with the vertical.
The distance from the top of the swing set to the ground is given as 12 feet.
Now, we can use the concept of sine to solve for Kyle's height off the ground.
The sine of an angle is equal to the length of the opposite side divided by the length of the hypotenuse.
In this case, the height off the ground is the opposite side, and the hypotenuse is the distance from the top of the swing set to the ground.
So, we can set up the following equation: sin(30°) = x / 12
To find x, we can multiply both sides of the equation by 12: 12 * sin(30°) = x
Using a calculator, we can find that sin(30°) is equal to 0.5: 12 * 0.5 = x Simplifying the equation: 6 = x
Therefore, Kyle's height off the ground, x, when he is in the pulled-back position, is 6 feet.
In summary, when Kyle is in the pulled-back position with the rope forming a 30° angle with the vertical, his height off the ground is 6 feet.
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