Answer:
.
Step-by-step explanation:
A line that goes through and where would have a slope of .
The slope of the line that goes through and would thus be:
.
Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is .
Thus, if and denote the slope of the first and second lines in this question, since the two lines are perpendicular to one another. Since , the slope of the first line would be:
.
Given that the first line goes through the point , the point-slope equation of that line would be:
.
.
Substitute in to find the -coordinate of the point in question:
.
The answere is there were No Change Left
Answer: 34/10=3.4 The estimated quotient is 3.4
Step-by-step explanation: Basically, you are dividing 33.7 by 9.5, but first you will need to round to the nearest whole number. A whole number does not contain a decimal. 33.7 rounded to the nearest whole number is 34. 9.5 rounded to the nearest whole number is 10. So, you are dividing 34 by 10. 34 divided by 10 is 3.4.
Answer:
11.820 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
The length of the ladder is the hypotenuse of a right triangle with 52° as the base angle. The side opposite is the height up the building where the top of the ladder rests. So, you have the relation ...
sin(52°) = height/(15 ft)
Multiplying by the denominator gives you ...
height = (15 ft)·sin(52°) ≈ 11.820 ft
Hope this helps
Answer:
467.99 units²
Step-by-step explanation:
The formula for finding the surface area of a cone is:
Our values are:
r = 8
h = 7
π = 3.14
Let's plug the values into the formula
units²