A kitchen sink faucet streams 0.5 gallon of water in 10 seconds. Which faucet will fill a 3 gallon container faster?

The length of a rectangle is 1 ft more than double the width, and the area of the rectangle is 45 ft2 . find the dimensions of t

algol [13]

A = L * W
A = 45
L = 2W + 1

45 = W(2W + 1)
45 = 2W^2 + W
2W^2 + W - 45 = 0
(2W - 9)(W + 5) = 0

W + 5 = 0
W = -5...not this one because it is negative

2W - 9 = 0
2W = 9
W = 9/2
W = 4.5 <=== the width is 4.5 ft

L = 2W + 1
L = 2(4.5) + 1
L = 9 + 1
L = 10 <=== the length is 10 ft

3 0

3 years ago

Let v represent the value of a bank acount, in thousands of dollars, t yearsaftertye account is opend at the bank

Liula [17]

Answer:

could you explain it more

Step-by-step explanation:

4 0

2 years ago

A timer is started and a few moments later a swimmer dives into the water and then comes back up. The swimmer’s depth (in feet)

zhannawk [14.2K]

Answer: The swimmer dives into the water 5 seconds after the timer is started.

The swimmer comes back up 11 seconds after the timer is started.

Step-by-step explanation:

6 0

1 year ago

Pls, help me with this math question

olya-2409 [2.1K]

Answer:

Perimeter $\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}$ units. Area 12 square units.

Step-by-step explanation:

Perimeter: total distance around the figure.

Distance Formula: the distance between points $\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)$ is

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}$

$BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}$ $CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}$ $DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}$

The perimeter is the sum of all those segment lengths.

One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area. (See attached image.)

The area of the large rectangle around the figure is 5 x 4 = 20 square units.

The triangles have areas 1/2 (base) (height):

A. (1/2)(1)(4) = 2 square units

B. (1/2)(3)(1) = 1.5 square units

D. (1/2)(1)(2) = 1 square unit

E. (1/2)(5)(1) = 2.5 square units

Square C. (1)(1) = 1 square unit

Total of all the area you don't want to include:

2 + 1.5 + 1 + 2.5 + 1 = 8 square units

Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.