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bulgar [2K]
2 years ago
15

Find the area of the rectangle.

Mathematics
1 answer:
umka2103 [35]2 years ago
8 0
The area is length x width which means it would be 14 x 8

14 x 8 = 112 so the area of the rectangle is 112 square ft.
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Imagine a new pasture with grass growing on it. Every day after the seeds have germinated, the number of blades of grass in the
Arisa [49]

Answer:

It took 17 days for the pasture to be one-third covered in grass

Step-by-step explanation:

* Lets explain how to solve the problem

- The number of blades of grass is triple every day

- Consider that there are x blades in the first day

∵ The number of blades of grass is triple every day

∴ The next day the number of blades of grass will be 3x

∴ The formula to find the number of blades of grass after d days is

   x(3)^{d}

- After 18 days, the entire pasture is completely covered in grass

∵ d = 18

∴ The number of blades of grass = x(3)^{18}

- We need to know the the number of days that took for the pasture

  to be one-third covered in grass

∵ The number of blades of grass for 1/3 covered = (\frac{1}{3})x(3)^{18}

∴ (\frac{1}{3})x(3)^{18}=x(3)^{d}

- Remember  \frac{1}{3}=3^{-1}

∴ 3^{-1}x(3)^{18}=x(3)^{d}

- Remember we add the power of the same bases when we

 multiply them

∴ x(3)^{-1+18}=x(3)^{d} ⇒ divide both sides by x

∴ (3)^{17}=(3)^{d}

- Remember if the two bases equal in the equation, then their

 powers are equal

∴ d = 17

* It took 17 days for the pasture to be one-third covered in grass

4 0
3 years ago
Suppose that you draw two cards from a deck. After drawing the first card, you do not put the first card back in the deck. What
AVprozaik [17]

Answer:

The correct answer is 0.05882.

Step-by-step explanation:

A deck of cards have 52 cards, 13 cards of each suit.

We are drawing two cards without replacement.

We need to find the probability of getting a diamond as the first card.

Favorable outcomes are 13 and total number of outcomes are 52.

Thus this probability is \frac{13}{52} = \frac{1}{4}.

Now for the next draw we again want to pick a diamond card.

Favorable outcomes are 12 and total number of leftover cards are 51.

Thus this probability is \frac{12}{51}.

Now the probability that both cards are diamonds is \frac{1}{4} × \frac{12}{51} = \frac{3}{51} = \frac{1}{17} = 0.0588235 ≈ 0.05882

4 0
2 years ago
Idk the answer can u help me
valentinak56 [21]

The answer is C) 67

Angle FGE is a right angle so it is 90 degrees and angle AGF is the same as CGD so it is 23 degrees.

Add angle FGE and angle AGF together (90 + 23 = 113) and subtract that by 180 (180 - 113 = 67)

3 0
2 years ago
Tracy recieves payments of $X at the end of each year for n years. The present value of her annuity is 493. Gary receives paymen
vladimir1956 [14]

Answer:

v = 1/(1+i)

PV(T) = x(v + v^2 + ... + v^n) = x(1 - v^n)/i = 493

PV(G) = 3x[v + v^2 + ... + v^(2n)] = 3x[1 - v^(2n)]/i = 2748

PV(G)/PV(T) = 2748/493

{3x[1 - v^(2n)]/i}/{x(1 - v^n)/i} = 2748/493

3[1-v^(2n)]/(1-v^n) = 2748/493

Since v^(2n) = (v^n)^2 then 1 - v^(2n) = (1 - v^n)(1 + v^n)

3(1 + v^n) = 2748/493

1 + v^n = 2748/1479

v^n = 1269/1479 ~ 0.858

Step-by-step explanation:

6 0
3 years ago
the width of the morros in shannon's bathroom is 4/9 its length. The area of the mirror is 576 square inches. What are the dimen
fredd [130]
W=4L/9

A=LW, using W found above gives us

A=L(4L/9)

A=4L^2/9  and we were told that A=576 so

4L^2/9=576  multiply both sides by 9

4L^2=5184  divide both sides by 4

L^2=1296 take the square root of both sides

L=36, and we know that W=4L/9 so

W=4(36/9)=16

So the dimensions are: width=16in and length=36in
5 0
3 years ago
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