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quester [9]
2 years ago
13

PLS PLS HELP ME

Mathematics
1 answer:
forsale [732]2 years ago
3 0

Answer:

475 km

Step-by-step explanation:

(40 + 45 + 50 + 35 + 55  km +  50 *5 km)  

You might be interested in
The product of 6<br> and the sum of five<br> and a number
Vaselesa [24]

Answer:

6 * (5 + n)

Explanation:

Sum = addition

Difference = subtraction

Product = multiplication

Quotient = division

6 0
2 years ago
The area of a rectangle has decreased by 2%.
MissTica

Answer:

The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%

Step-by-step explanation:

We can start with the basic equation for the area of a rectangle:

l × w = a

And now express the changes described above as an equation, using "p" as the amount that the width is changed:

(l × 1.1) × (w × p) = a × .98

Now let's rearrange both of those equations to solve for a / l.  Starting with the first and easiest:

w = a/l

now the second one:

1.1l × wp = 0.98a

wp = 0.98a / 1.1l

1.1 wp / 0.98 = a/l

Now with both of those equalling a/l, we can equate them:

1.1 wp / 0.98 =  w

We can then divide both sides by w, eliminating it

1.1wp / 0.98w = w/w

1.1p / 0.98 = 1

And solve for p

1.1p = 0.98

p = 0.98 / 1.1

p ≈ 0.89

So the width is scaled by approximately 89%

We can double check that too.  Let's multiply that by the scaled length and see if we get the two percent decrease:

.89 × 1.1 = 0.979

That should be 0.98, and we're close enough.  That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89.  The actual result of that fraction is 0.89090909...  if we multiply that by 1.1, we get exactly .98.

6 0
2 years ago
The Width of a rectangle is 2w+3. The length is equal to 4 times its width. Write an expression to represent the perimeter of th
kupik [55]
Since the perimeter is the sum of the length of all sides we multiply width and length by 2 and then add them together

4 0
3 years ago
Why is -9an acceptable answer to the equation x2=81 ?
Arte-miy333 [17]

Answer:

X=9 or x=-9

Step-by-step explanation:

X^2=81

Can be written as

x^2-81=0

Factorize by the property:

a^2-b^2=(a-b)(a+b)

So the expression becomes:

(x-9)(x+9)=0

Therefore, either x-9=0or x+9=0

Then the solutions are x=9 or x=-9

8 0
3 years ago
Read 2 more answers
1-determine o comprimento e a area de um circulo cujas medidas são:
pentagon [3]
The question in English
<span>1 Determine the length and area of ​​a circle whose measures are: a) radius 11cm b) radius 4.2 cm c) diameter 42.3 cm

2 considering that a large traditional pizza is 36 cm in radius and a small traditional pizza has 26 cm.Determine the difference between the area of ​​the two pizzas

3.a worker spends 3 hours to clear a circular terrain of 6 meters radius. If the terrain was 12 meters radius, how much time would the worker spend to clean such terrain ???

4, transform the following arcs into radians a) 27 ° b) 81 ° c) 144 ° d) 225 ° d) 315 °

Part 1)
we know that
length of a circle is equal to the circumference
circumference=2*pi*r
area of the circle=pi*r²

part a ) radius 11 cm
</span><span>circumference=2*pi*11-----> 69.08 cm
area of the circle=pi*11²----> 379.94 cm²
</span>
<span><span>part b) radius 4.2 cm
</span><span>circumference=2*pi*4.2-----> 26.38 cm
area of the circle=pi*4.2²----> 55.39 cm²
</span></span>
<span><span>part c ) diameter 42.3 cm
radius r=42.3/2=21.15 cm
</span><span>circumference=2*pi*21.15-----> 132.82 cm
area of the circle=pi*21.15²----> 1404.59 cm²

Part 2)
</span></span>
<span>area large traditional pizza
r=36 cm
area=pi*36²----> 4069.44 cm²

area </span><span>small traditional pizza
r=26 cm
area=pi*26²-----> 2122.64 cm²
</span><span>difference between the area of ​​the two pizzas =4069.44-2122.64
difference </span><span>between the area of ​​the two pizzas=1946.80 cm²

Part 3)
Area of the </span><span>circular terrain of 6 meters radius
area=pi*6²-----> 113.04 m²

</span><span>Area of the <span>circular terrain of 12 meters radius
area=pi*12²-----> 452.16 m²
</span></span>
if a <span>worker spends 3 hours to clear a circular terrain of--------> 113.04 m²
x hours---------------------------> 452.16 m²
x=452.16*3/113.04-----> x=12 hours

Part 4) </span><span>transform the following arcs into radians
 a) 27°
pi radians------> 180°
x radians-----> 27°
x=27*pi/180-----> x=0.15*pi radians------> 0.47 radians

</span><span>b) 81°
pi radians------> 180°
x radians-----> 81°
x=81*pi/180-----> x=0.45*pi radians------> 1.41 radians
</span>
<span>c) 144°
pi radians------> 180°
x radians-----> 144°
x=144*pi/180-----> x=0.80*pi radians------> 2.51 radians
</span>
<span>d) 225°
pi radians------> 180°
x radians-----> 225°
x=225*pi/180-----> x=1.25*pi radians------> 3.93 radians

</span>
<span>e) 315°
pi radians------> 180°
x radians-----> 315°
x=315*pi/180-----> x=1.75*pi radians------> 5.50 radians

</span><span>
the answer in Portuguese

</span>
<span>Parte 1)
</span>
<span>nós sabemos isso
</span><span>comprimento de um círculo é igual à circunferência
</span><span>circunferência=2*pi*r
</span>área do círculo<span>=pi*r²

parte a )
</span>raio<span> 11 cm
</span><span>circunferência=2*pi*11-----> 69.08 cm
</span><span><span>área do círculo=pi*11²----> 379.94 cm²
</span>
<span>parte b) raio 4.2 cm
</span></span><span>circunferência=2*pi*4.2-----> 26.38 cm
</span><span><span>área do círculo=pi*4.2²----> 55.39 cm²
</span>
<span>parte c )
</span></span>diâmetro<span> 42.3 cm
</span><span>raio r=42.3/2=21.15 cm
</span><span>circunferência=2*pi*21.15-----> 132.82 cm
</span><span><span>área do círculo=pi*21.15²----> 1404.59 cm²

Parte 2)
</span>
</span>
área grande pizza tradicional<span>r=36 cm
</span><span>área=pi*36²----> 4069.44 cm²

</span>
<span>área pequena pizza tradicional<span>
r=26 cm
</span></span><span>área=pi*26²-----> 2122.64 cm²
</span>diferença entre a área das duas pizzas<span> =4069.44-2122.64
</span>diferença entre a área das duas pizzas<span>=1946.80 cm²

Parte 3)
</span><span><span>
Área do terreno circular de 6 metros de raio</span>
</span><span>área=pi*6²-----> 113.04 m²

</span>
<span>Área do terreno circular de 12 metros de raio
</span><span><span>área=pi*12²-----> 452.16 m²
</span>
</span>se um trabalhador gastar 3 horas para limpar um terreno <span>-----> 113.04 m²
x hours---------------------------> 452.16 m²
x=452.16*3/113.04-----> x=12 horas

Parte 4) </span><span><span>transformar os seguintes arcos em radianos
 a) 27°
pi radianos------> 180°
x radianos-----> 27°
x=27*pi/180-----> x=0.15*pi radianos------> 0.47 radianos

</span><span>b) 81°
pi radianos------> 180°
x radianos-----> 81°
x=81*pi/180-----> x=0.45*pi radianos------> 1.41 radianos
</span>
<span>c) 144°
pi radianos------> 180°
x radianos-----> 144°
x=144*pi/180-----> x=0.80*pi radianos------> 2.51 radianos
</span>
<span>d) 225°
pi radianos------> 180°
x radianos-----> 225°
x=225*pi/180-----> x=1.25*pi radianos------> 3.93 radianos

</span>
<span>e) 315°
pi radianos------> 180°
x radianos-----> 315°
x=315*pi/180-----> x=1.75*pi radianos------> 5.50 radianos</span></span>



























7 0
3 years ago
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