Answer:
X=
Y=
Step-by-step explanation:
The first one is 45-45-90 right angled isosceles triangle.
The length of the hypotenuse ie.X can be found with the help of Pythagoras Theorem.
where a and b are the remaining sides of the triangle,
X=
In the second triangle we have to apply trigonometry,
cos θ=
cos 30°=
=
Thus, Y= inches
1) week 2 she spent $29.21
You would multiply the gallons of gas she bought by the price of each gallon.
2) $1.06 more because you would subtract week 1’s by week 4’s total
Answer:
A) 2144.66 in³
Step-by-step explanation:
A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches. Which measurement is closet to the volume of water in the fishbowl in cubic inches?
Volume of a sphere = 4/3πr³
Diameter = 16 in
Radius = Diameter/2 = 16 in/2 = 8 in
Volume of a Sphere = 4/3 × π × 8³
= 2144.66 cubic Inches
Option A.is correct
Answer:
Wetlands prevent flooding by temporarily storing and slowly releasing stormwater.
Step-by-step explanation:
Wetlands also reduce water flow, thus allowing sediments and associated pollutants to settle out. A marshland can prevent flooding in a nearby town bye temporarily storing water!
Answer: has a maximum
the maximum is 11
Step-by-step explanation:
f(x)= -5x^2-10x+6
the function f(x)= ax^2+bx+c=0 has a<0 so the equation has a maximum
I know V has the coordonate x=-b/2a, and y=-(b^2-4ac)/4a
b^2-4*a*c= (-10)^2-4*(-5)*6=100+120=220
so -b/2a=-(-10)/-2*5=+10/-10=-1 and
-(b^2-4ac)/4a=-220/4*(-5)=-220/-20=22/2=11
so V( -1, 11)
and the maximum is 11
