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mojhsa [17]
3 years ago
13

The perimeter of the patio is 32m. the garden itself is a square shape. what is the total area of the garden and the patio?

Mathematics
2 answers:
Ivahew [28]3 years ago
8 0

Answer:

Step-by-step explanation:

The perimeter of the patio is 32m

Lets say the side length including the garden and patio is x m

so its perimeter in terms of x is 4x

we get the equation 4x=32

hence x=32/4

x=8 m

Means the sides are of 8 m

Now

Area is given by

A=x^2

so

A =8^2

Area =64 sq meter

melamori03 [73]3 years ago
4 0
64 32 divided by 4 is 8 8 tmes 8 is 64

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Find the angle between u = (8.- 3) and v = (-3,- 8) Round to the nearest tenth of a degree.
Nimfa-mama [501]

Answer:

<h2>90°</h2>

Step-by-step explanation:

First you must calculate the module or the magnitude of both vectors

The module of u is:

|u|=\sqrt{(8)^2 + (-3)^2} \\\\|u|=\sqrt{64 + 9}\\\\|u|=8.544

The module of v is:

|v|=\sqrt{(-3)^2 + (-8)^2} \\\\|u|=\sqrt{9 + 64}\\\\|u|=8.544

Now we calculate the scalar product between both vectors

u*v = 8*(-3) + (-3)*(-8)\\\\u*v = -24+ 24=0

Finally we know that the scalar product of two vectors is equal to:

u*v = |u||v|*cos(\theta)

Where \theta is the angle between the vectors u and v. Now we solve the equation for \theta

0 = 8.544*8.544*cos(\theta)\\\\0 = cos(\theta)\\\\\theta= arcos(0)\\\\\theta=90\°

the answer is 90°

Whenever the scalar product of two vectors is equals to zero it means that the angle between them is 90 °

5 0
4 years ago
Read 2 more answers
The following dotplot shows the number of strokes taken by 20 professional golfers competing at an 18-hole golf course.B? or E?
Savatey [412]

Answer:

Continuous

Step-by-step explanation:

The numbers do not follow a pattern In golf in order for them to be Categorical they must follow a pattern in which the numbers follow the same path or course these numbers do not.

4 0
3 years ago
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determina la distancia recorrida por un automóvil si primero viajo 2 horas a 80 Km/h ,después 3 horas a 110 km/h y por ultimo 30
FinnZ [79.3K]

Answer: Total distance travelled is 510 km

Step-by-step explanation:

it is given that an automobile travels for

2 hours at 80km/h

3 hours at 110km/h

30 min at 40km/h

to find distance=x(let)

since

distance = speed * time

so

x= 80*2 +110*3 +40*(1/2)  [since 1 hour =60 min so 30 min =1/2 hour]

x=160+330+20

x=510

hence total distance travelled is 510 km

Learn more about kinematics here

brainly.com/question/28493318

#SPJ9

4 0
2 years ago
Problema propuesto Pablo tiene un terreno con forma Su lado desigual mide 8 m y el perímetro mide 28 m. Él quiere colocar césped
jarptica [38.1K]

Responder:

74,67

Explicación paso a paso:

El monto a pagar será:

Multiplicando el perímetro por la longitud del lado desigual

Perímetro = 28 m

Lado desigual = 8

Perímetro * longitud del lado desigual

28 * 8 = 224m²

Longitud por metro cuadrado = $ 3

El monto a pagar :

224m² / 3

= 74,67

6 0
3 years ago
Which is a factor of 6x2 + x − 7?
kvv77 [185]

Solution:

The Quadratic polynomial in variable x is :

→ 6 x² + x -7

Breaking the middle term i.e term containing  variable x

= 6 x² + 7 x - 6 x -7

= x ( 6 x +7) - 1 (6 x +7)

= (6 x + 7)(x-1)→→→Factor of 6 x² + x -7


6 0
3 years ago
Read 2 more answers
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