Answer:
x intercepts -sqrt(5), + sqrt(5)
y intercept -5
Step-by-step explanation:
y = x^2 -5
to find the x intercept set y=0 and solve for x
0 = x^2-5
add 5 to each side
5 = x^2
take the square root of each side
+- sqrt(5) = sqrt(x^2)
x = +-sqrt(5) there are 2 x intercepts since it is a quadratic
to find the y intercept set x=0 and solve for y
y = 0-5
y = -5
You can solve this using trigonometric functions.
The angle between the fish and the ground is
tan θ = 100 / 50
θ = tan-1 (2)
θ = 63.43°
The height of the bird before it dropped the fish is already given, which is 100 yards.
Answer:
The volume of the toy is 
Step-by-step explanation:
step 1
Find the volume of the hemisphere
The volume of the hemisphere is given by the formula

In this problem, the wide of the toy is equal to the diameter of the hemisphere
so

----> the radius is half the diameter
substitute

step 2
Find the volume of the cone
The volume of the cone is given by

we know that
The radius of the cone is the same that the radius of the hemisphere
so

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

substitute the given values

step 3
Find the volume of the toy
we know that
The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.
so


assume


Answer:
The surface area of the drum is 3317.5218 square inches.
Step-by-step explanation:
Drum's have a cylindrical form, therefore in order to calculate its surface area we need to apply the correct formula, as shown below:

Where the first term of the sum is the area of the lid and bottom of the drum and the second term is the area of the walls of the drum, r is the radius and h is the height. Applying the data from the problem, we have:

The surface area of the drum is 3317.5218 square inches.
Gabe had 372 apples and r grapes. The total of grapes and apples gabe has are 509. How many grapes did gabe have?