This can be found first by determining how many miles Lauren went during the downhill portion. This can be found by multiplying the speed by the time.

5mph * .5hrs = 2 1/2 miles.

Now we can determine how far she needs to go during the uphill portion by subtracting the downhill portion from the entire ride.

3 1/3 miles - 2 1/2 miles = 5/6 miles.

Now that we know she needs to go 5/6 miles for the uphill portion, we can divide the distance by the speed.

5/6 miles / 3 mile per hour = 5/18 hours = 16.67 mins or 16 mins and 40 seconds.

6 0

4 years ago

Need help with this there’s a picture so you can see!

natka813 [3]

Answer:

$x = 9$

Step-by-step explanation:

Given

$\angle S = 45$

$\angle U = 4x - 1$ --- (not clear but that is what I'm able to read)

$\angle Q = 100$

Required

Find x

From the attachment, the corresponding angles of both triangles are equal:

This implies that:

$\angle P = \angle S = 45$

$\angle U = \angle R = 4x - 1$

$\angle Q = \angle T = 100$

Apply angle sums property

$\angle S +\angle T +\angle U =180$

This becomes

$45 + 4x - 1 +100 = 180$

Collect like terms

$4x= 180-45-100+1$

$4x= 36$

$x = 9$

4 0

3 years ago

What are possible rational roots of polynomial function 0= 3x^8 + 11x^5+4x+6

stealth61 [152]

Answer:

1,-1,2,-2,3,-3,6,-6, 1/3, -1/3, 2/3, -2/3

Step-by-step explanation:

Factors of the constant which are:

+1,-1,+2,-2,+3,-3,+6,-6

Also, these divided by the factors of the leading coefficient (3 in this case)

Factors of 3 are 1 & 3

Dividing by 1 will give the same values

Dividing by 3:

1/3,-1/3,2/3,-2/3,3/3,-3/3,6/3,-6/3

1/3,-1/3,2/3,-2/3,1,-1,2,-2

Distinct possibilities:

1,-1,2,-2,3,-3,6,-6, 1/3, -1/3, 2/3, -2/3

6 0

3 years ago

What is the exact volume of the sphere

rjkz [21]

volume = 4/3 x pi x r^3

r^3 = 12.3^3 = 1860.867

1860.867 x 4/3 = 2481.156

answer = 2481.156pi cm^3

Answer is A

6 0

4 years ago