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4 years ago

How many driveways can you and your friend shovel if you work together for 5 hours each day for 2 days

Mathematics

1 answer:

IRISSAK [1]4 years ago

4 0

Answer:

13 driveways with a quarter of an hour to spare

Step-by-step explanation:

You might be interested in

Solve the equation for all real solutions. 15r2 – 6r – 3 = -2r

Solnce55 [7]

Answer:

Step-by-step explanation:

hello :

15r² – 6r – 3 = -2r

15r² – 6r – 3 +2r =0

15r²-4r -3 =0

delta =b² -4ac a=15 b=-4 c=-3

delta =(-4)² - 4(15)(-3)=196 = 14²

r1 = (-b - √delta ) /2a = (4-14)/30 = -10/30 = -2/6 = -1/3

r2 = (-b + √delta ) /2a = (4+14)/30 = 18/30 = 3/5

4 0

3 years ago

Translate then simplify A number n decreased by the difference nine and the number

Sphinxa [80]

Answer:

Step-by-step explanation

x-(9-x)

4 0

3 years ago

Let A and B are n x n matrices from which A is invertible. Suppose AB is singular. What conclusion can be made about the inverti

Montano1993 [528]

Answer: Matrix B is non- invertible.

Step-by-step explanation:

A matrix is said to be be singular is its determinant is zero,

We know that if a matrix is singular then it is not invertible. (1)

Or if a matrix is invertible then it should be non-singular matrix. (2)

Given : A and B are n x n matrices from which A is invertible.

Then A must be non-singular matrix. ( from 2 )

If AB is singular.

Then either A is singular or B is singular but A is a non-singular matrix.

Then , matrix B should be a singular matrix. ( from 2 )

So Matrix B is non- invertible. ( from 1 )

7 0

3 years ago

injured runners train on a special track at a rehabilitation center. The track is a square with a half circle on its left and ri

diamong [38]

Answer:

The length of the track is approximately 51.7 ft

The track has three sides of the square and the distance round a half of a complete circle

Step-by-step explanation:

The given track shape and measurements are;

The shape on the left side of the track = Square

The shape on the right side of the track = Half circle

The area of the square on the the left side of the track = 128 square feet

Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;

Area of the square portion of the track = s × s = s² = 128 ft²

Therefore, s = √(128 ft²) = 8·√(2) ft.

Whereby the side length of the square is bounded by the diameter of the half circle, we have;

Length of the diameter of the half circle = s = 8·√(2) ft.

The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.

The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.

Therefore;

The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft

The length of the track ≈ 51.7 ft

Which gives;

The track has three sides of the square and the distance round a half of a complete circle.

5 0

3 years ago

Is it ever possible for a triangle's altitude to lie entirely outside the triangle?

Tomtit [17]

Answer:

If all three of the latitudes lie entirely outside the triangle

its a because all the altitudes have to cross each other so when an obtuse angle is being measured the altitudes have to cross but the only way they can can cross is if they are outside of the angle to get the right mesaurement.

so yes its possible.

3 0

3 years ago