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3 years ago

10

The length of a rectangle is 4 more than half the width. Which equation could represent the area of the rectangle in terms of th

e width?

1 answer:

frosja888 [35]3 years ago

3 0

Answer:

let length be x and breadth be y

by question

L=4×1/2×B

L = 2B

now

Area of rectangle=L×B

2B ×B

2B^2

Is it correct? ,I actually tried to solve it

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omeli [17]

The half life of the substance is 6.92 days.

<h3>What is the Half life ?</h3>

Half life can be defined as the time required to reduce the concentration to half of its initial value.

Here the equation given is

$\rm N = N_o e^{-kt}$

The concentration will reduce to half therefore

$\rm N= \dfrac{N_o}{2}$

so,

$\rm 39/2 = 39 e^{- 0.1001 * t_{1/2}}$

ln 0.5 = - 0.1001 * t(1/2)

-0.693 = -.1001 * t(1/2)

t(1/2) = 6.92 days.

Therefore the half life of the substance is 6.92 days.

To know more about Half Life

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4 0

2 years ago

From a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper. T

levacccp [35]

Answer:

Max vol = 2 cubic metres

Step-by-step explanation:

Given that from a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper.

Side of the square = 3m

If squares are to be cut from the corners of the cardboard we have the dimensions of the box as

3-2x, 3-2x and x.

Hence x can never be greater than or equal to 1.5

V(x) = Volume = $V(x) = x(3-2x)^2\\= 9x+4x^3-12x^2$

We use derivative test to find the maxima

$V'(x) = 9+12x^2-24x\\V"(x) = 24x-24\\$

Equate I derivative to 0

$9+12x^2-24x=0\\x=1/2,3/2$

If x= 3/2 box will have 0 volume

So this is ignored

V"(1/2) <0

So maximum when x =1/2

Maximum volume

= $9(1/2)+4(1/2)^3-12(1/2)^2\\=2$ cubic metres

6 0

3 years ago

Latasha bought a concert ticket. She does not remember the price of the ticket, but she remembers that she had to pay $1 in tax.

docker41 [41]

Answer:

Original price of ticket = $12.5

Step-by-step explanation:

Given:

8% amount = $1

Find:

Original price of ticket

Computation:

Original price of ticket = 1(100/8)

Original price of ticket = $12.5

7 0

3 years ago

Teresa drove 936 miles in 13 hours. At the same rate, how many miles would she drive in 9 hours?

grandymaker [24]

If Teresa drove 936 miles in 13 hours, this would mean she would have driven 72 miles every hour. 72 times 9 equals 648. After 9 hours, she would have driven 648 miles.

5 0

4 years ago

Helen [10]

Answer:

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

Step-by-step explanation:

The given figure consists of three triangles

1. ΔUJN, 2. ΔUGN, and 3. ΔUJG

Whereby segment UN is perpendicular to segment JG, we have;

ΔUJN and ΔUGN are right triangles

∴ ∠UNJ = ∠UNG = 90° by definition of segment UN being perpendicular to segment JG

NU ≅ NU by reflexive property

Whereby UN bisects ∠JUG and segment JG, we have;

JN = GN by definition of a bisected segment

Therefore, we have;

1. ΔUJN ≅ ΔUGN by SAS rule of congruency

2. Side Angle Side Rule of congruency

3. JN ≅ GN, ∠JUN ≅ ∠NUG, ∠UNJ ≅ ∠UNG, NU ≅ NU

4. UN bisects angle ∠JUG and UN bisects segment JG

7 0

3 years ago