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const2013 [10]
3 years ago
15

Becky wants to fence in a rectangular play area for her dog. If she wants the length of the play area to be 9 feet longer than h

alf its width, what should the dimensions of the play area be? Write the dimensions algebraically
Mathematics
2 answers:
AysviL [449]3 years ago
8 0

Answer: lenght = 9ft + W/2

widht = W

Step-by-step explanation:

if we define L as the lenght, and W as the width, we have that:

L = 9ft + W/2

Then the dimensions are the lenght and the width, and with only one of these two variables, we have all the dimensions, that are

lenght = 9ft + W/2

widht = W

Firdavs [7]3 years ago
4 0

Answer:

The dimension of the play area written algebraically is y²/2 + 9y

Step-by-step explanation:

Let the be x and the width be y

If the length is to be 9 feet longer than half the width,

hence y/2 + 9 = x

hence dimension of the area = (y/2 + 9) × y = y²/2 + 9y

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...................................................................
Genrish500 [490]

Answer:

12 cm

Step-by-step explanation:

The Pythagorean Theorem is as follows:

a^{2} +b^{2} =c^{2}

A and B represent the side lengths (legs) and C represents the hypotenuse.

The length of one leg equals 5cm. (This can be represented by either a or b)

The hypotenuse equals 13 cm.

Plug these into the equation from above:

a^{2} + (5^{2}) = (13^{2})

Solve for the other leg:

   a^{2} + 25 = 169                          Square what's in the parentheses from above

a^{2} = 144\\                                  Subtract 25 from 169

\sqrt{a^{2} } = \sqrt{144}                            Square root both sides

a = 12 cm                        

Thus, the length of the other leg is 12 cm.

Let's check our answer:

12^{2} +5^{2} =13^{2}                        Square everything

144 + 25 = 169                      Add

169 = 169

Because both sides are equal it means that 12 cm is the correct answer.

Hope this helps!!

3 0
2 years ago
¿Cual es el mínimo común múltiplo de 20 14 y 17?<br> Gracias <br> ♥ ♥
Scorpion4ik [409]

El mínimo común múltiplo de 20 14 y 17 es <u>1</u>.

17 es un número primo, y su únicos múltiplos son 17 y 1.

8 0
3 years ago
Samara has an assignment to conduct a survey. She wants to find out what students like to do after school. She asks the first 10
Sliva [168]
C: Because she doesn't choose certain people
7 0
3 years ago
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A recipe calls for 1 cup of sugar and 5 cups of water.How much sugar is used per cup of water?
scoundrel [369]
1/5 cups of sugar are used for every cup of water.
8 0
3 years ago
Read 2 more answers
Changle. Show all work. Round each length to the nearest tenth and each angle to the
Sedaia [141]

Answer:

Part 1) BC=12.2\ units

Part 2) m\angle A=55^o

Part 3) m\angle C=35^o

Step-by-step explanation:

Part 1) Find AC

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

AC^2=AB^2+BC^2

substitute the given values

AC^2=7^2+10^2

AC^2=149\\AC=12.2\ units

Part 2) Find the measure of angle A

we know that

In the right triangle ABC

tan(A)=\frac{BC}{AB} ----> by TOA (opposite side divided by the adjacent side)

substitute the values

tan(A)=\frac{10}{7}

using a calculator

m\angle A=tan^{-1}(\frac{10}{7})=55^o

Part 3) Find the measure of angle C

we know that

In the right triangle ABC

m\angle A+m\angle C=90^o ----> by complementary angles

substitute the given value

55^o+m\angle C=90^o

m\angle C=90^o-55^o=35^o

8 0
3 years ago
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