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3 years ago

Write 39 5 as a mixed number.

Mathematics

2 answers:

Brums [2.3K]3 years ago

3 0

Answer:remainder of 4

Step-by-step explanation:

Multiply the newest quotient digit (7) by the divisor 5 . Subtract 35 from 39 The result of the division of 395 which equals out to the remainder of 4

Burka [1]3 years ago

3 0

The answer is 7 and 8 tengths. 7 8/10 , or 7.8

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How many true solutions does the equation sinx=cosx-1 have over the interval 0 is less than or equal to x which is less than or

FrozenT [24]

$sinx=cosx-1 \\ \\ 
sinx-cosx=-1$

Using the identity: $sinx-cosx=- \sqrt{2}cos( \frac{ \pi }{4}+x)$ , we get:

$- \sqrt{2}cos( \frac{ \pi }{4}+x)=-1 \\ \\ 
cos( \frac{ \pi }{4}+x)= \frac{1}{ \sqrt{2} } \\ \\ 
$

There are two solutions to this equation:

1)
$\frac{ \pi }{4}+x= \frac{ \pi }{4} \\ \\ 
x=0$

Since the period of cosine is 2π, so 0 + 2π = 2π will also be a solution to the given equation

2)
$\frac{ \pi }{4}+x= \frac{7 \pi }{4} \\ \\ 
x= \frac{3 \pi }{2}$

Therefore, there are 3 solutions to the given trigonometric equation.

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3 years ago

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Jason watched a caterpillar move 16 feet in 8 minutes. Jason says that the caterpillar's unit rate is 0.5 foot per minute. Is Ja

MrRa [10]

Answer:

Jason is incorrect.

The caterpillar's rate is 2 ft/min

Step-by-step explanation:

The rate of motion is defined as the quotient between the distance covered (in our case 16 feet) divided by the time it took to cover that distance (in our case 8 minutes)

Then, the rate is:

$rate=\frac{distance}{time} = \frac{16\,\,ft}{8\,\,min} = 2\,\frac{ft}{min}$

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3 years ago

Mr. Bell wants to plant a rectangular garden in his backyard. He has 100 feet of fence to

vovangra [49]

Answer:

The dimensions of the garden are 22.5ft by 27.5ft

Step-by-step explanation:

Here, we want to calculate the dimensions of the garden.

let the length be x ft

we are told that the he wants the length to be 5 feet more than the width;

That means the width will be (x-5) ft

Mathematically;

Since the shape is rectangular, the perimeter will be 2( l + w)

Thus; 2(x + x-5) = 100

2(2x-5) = 100

divide both sides by 2

2x-5 = 50

2x = 50 + 5

2x = 55

x = 55/2

x = 27.5 ft

The width is thus; 27.5ft - 5ft = 22.5ft

the dimensions of the garden are 27.5 ft by 22.5 ft

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3 years ago

What fraction of the shape is white

ICE Princess25 [194]

Answer:

3 over 8

Step-by-step explanation:

The total of box numbers is 8 and there are 3 white boxes. So, the total goes on the bottom and the amount of white boxes goes on top.

Hope this helped!

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Burka [1]

Answer:

independent

Step-by-step explanation:

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3 years ago