All categories

3 years ago

Container A has 1600 ml of water and is leaking 12 ml per minute.

Mathematics

1 answer:

Allisa [31]3 years ago

3 0

Answer:

50 minutes

Step-by-step explanation:

1600 - 12m = 2000 - 20m

8m = 400

m = 50

You might be interested in

Order the angles in each triangle from smallest to largest.

lana [24]

9514 1404 393

Answer:

B: L, M, N

Step-by-step explanation:

The sides are listed from shortest to longest. The angles opposite these sides will be in order smallest to largest. The name of the opposite angle is the vertex whose name is missing from the side's name.

MN is opposite angle L, the smallest

LN is opposite angle M, the middle-size

LM is opposite angle N, the largest.

Smallest to largest, the angles are ∠L, ∠M, ∠N.

3 0

2 years ago

Pls help me figure out the slope

cluponka [151]

Answer:

$m=\frac{-4}{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, 1)

Point (2, -3)

Step 2: Find slope m

Substitute: $m=\frac{-3-1}{2+3}$
Subtract/Add: $m=\frac{-4}{5}$

7 0

3 years ago

Suppose we are flipping a fair coin (i.e., probability of heads = 0.5 and probability of tails = 0.5). further, suppose we consi

Feliz [49]

Here is your answer.

6 0

3 years ago

Item 16 A scale drawing of a triangular sign has a scale factor of 1:8. Which statements are true? The ratio of the area of the

Step2247 [10]

Answer:

The correct option is;

The ratio of the area of the scale drawing to the area of the sign is equal to the square of the scale factor

Step-by-step explanation:

Here we have a scale factor of 1:8

Therefore area of drawing = 1/2×base, b×height, h = 1/2×b×h

Hence, the area of the triangular sin will be given by 1/2×8×b×8×h

Area of triangular sign = 64 × 1/2×b×h

Hence the ratio of the area of the scale drawing to the area of the triangular sign is equal to the square of the scale factor.

5 0

3 years ago

A piece of wire of length L will be cut into two pieces, one piece to form a square and the other piece to form an equilateral t

inn [45]

Answer:

(a) square: L; triangle: 0.

(b) square: L·(-16+12√3)/11; triangle: L·(27-12√3)/11

Step-by-step explanation:

Strategy: First we will write each area in terms of its perimeter. Then we will find the total area in terms of the amount devoted to the square. Differentiating will give a way to find the minimum total area.

In terms of its perimeter p, the area of a square is ...

A_square = p^2/16

In terms of its perimeter p, the area of an equilateral triangle is ...

A_triangle = p^2/(12√3)

Then the total area of the two figures whose total perimeter is L with "x" devoted to the square is ...

A_total = x^2/16 + (L-x)^2/(12√3)

(a) We know when polygons are regular, the one with the most area for the least perimeter is the one with the most sides. Hence, the total area is maximized when all of the wire is devoted to the square.

(b) The derivative of A_total with respect to x is ...

dA/dx = x/8 -(L-x)/(6√3)

This will be zero when ...

x/8 = (L-x)/(6√3)

x(6√3) = 8L -8x

x(8 +6√3) = 8L

x = L·8/(6√3 +8) = 8L(6√3 -8)/(64-108)

x = L·(12√3 -16)/11

The total area is minimized when L·(12√3 -16)/11 is devoted to the square, and the balance is devoted to the triangle.

5 0

3 years ago