Answer:
13 and 53
Step-by-step explanation:
First Integer: x
Larger integer: 5x-12
66=x+(5x-12)
66= x+5x-12
66=6x+12
78=6x
13=x
First Integer: 13
Larger Integer: 13*5-12= 65-12=53
Check Work:
13+53=66
The expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2
Given that the softball diamond is square in shape.
Let the side of the square i.e. distance between consecutive bases is x
The distance from the 1st base to the 3rd base creates the hypotenuse of a right triangle, where each side is equal to x i.e. x is the side length of the square formed by the baseball diamond.
Using the Pythagorean theorem we have:
x² +x²= c²,
where c is the distance from the 1st base to the 3rd base.
Combining similar terms gives us
2x²=c²
Taking the square root of both sides we have
√2x²= √c²
⇒x√2=c
⇒c=x√2
This is the expression for the distance from the 1st base to the 3rd base in terms of side length.
Therefore the expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2.
Learn more about the Pythagorean theorem
here: brainly.com/question/231802
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Answer:
Step-by-step explanation:
That's B: the surface area.
The volume of the sphere is V = (4/3)πr³; A = 4πr² happens to be the derivative of V with respect to r.
Answer:
a) Simple interest paid = $360
b) Total repayment amount = $6360
Step-by-step explanation:
It is given that:
Principal, P = $6000
Rate of interest, R = 2%
Time, T = 3 years
<em>(a) Total interest paid</em>:
<u>Formula</u> for Simple Interest is given as:
Putting the values of P, R and T to find out Simple Interest:
<em>(b) Total repayment amount</em>:
We know that formula for total amount is given as:
<em>Amount = Principal + Simple Interest</em>
Amount = 6000 + 360 = $6360
So, total repayment amount = $6360
So, the answers are:
a) Simple interest paid = $360
b) Total repayment amount = $6360
Answer:
100 points
Step-by-step explanation:
-75 + 200 = 125
125 - 25 = 100
