Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
Answer:
3
Step-by-step explanation:
We can find the slope of the given line in this two way:
1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3
2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x
3y = -x-15
y = -1/3x - 5
Also in this case we have -1/3
Two perpendicular lines have the the product of the their slope that is -1
So the slope that we are finding is 3
In fact = 3 x -1/3 = -1
Answer:
What are the given expressions??
Step-by-step explanation:
Since I can't see you're options, I'll just give you an answer that'll hopefully help...
5³ = 125
Hope that helps you!! :)
Answer:
Step-by-step explanation:
Cost price = $n
Mark up price = selling price- cost price
= (20% × $n)
Selling price = $n + (20% × $n)
Sales tax = 5% × ($n + (20% × $n))
Total cost = selling price + sales tax
Total cost = $n + (20% × $n) + 5% × $n + (20% × $n)
= 1.2 × $n + 0.06 × $n
= 1.26 × $n.
