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Scrat [10]
3 years ago
13

Challenge: How many flowers, spaced every 4 in., are needed to surround a circular garden with a

Mathematics
1 answer:
meriva3 years ago
6 0

Answer:

314 flowers

Step-by-step explanation:

In order to find how long the perimeter of the circular garden is, we need to find the circumference of the garden.

The circumference of a circle is radius*2*pi. So, in this case, the circumference would be 200*2*3.14. This equals 1256 inches.

Next, we know that flowers are planted every 4 inches, so all we need to do is to find how many 4-inch segments are in 1256 inches.

1256/4=314

Thus, 314 flowers are needed.

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If L=√(x^2+y^2), dx/dt =-4, dy/dt=3, find dL/dt when x=4 and y=3
yulyashka [42]

Hello,

L=\sqrt{x^2+y^2} \\\\\dfrac{dx}{dt}=-4\\\\\dfrac{dy}{dt}=3\\\\x=4, y=3\\\\\dfrac{\partial L} {\partial x} =\dfrac{x}{\sqrt{x^2+y^2}} \\\\\dfrac{\partial L} {\partial y} =\dfrac{y}{\sqrt{x^2+y^2}} \\\\\dfrac{dL}{dt} =\dfrac{\partial L} {\partial x}*\dfrac{dx}{dt}+\dfrac{\partial L} {\partial y}*\dfrac{dy}{dt}\\\\=-4*\frac{-4}{\sqrt{4^2+3^2}} +3*\frac{3}{\sqrt{4^2+3^2}}\\\\=\dfrac{16}{5} +\dfrac{9}{5} \\\\=5\\

5 0
3 years ago
How much sugar syrup would you get by Making 5% sugar syrup using 6g sugar?
kherson [118]

Answer: 120 grams.

Step-by-step explanation:

Let x be the amount of sugar syrup made by 5% sugar syrup using 6g sugar.

Also, 5% =0.05

Therefore, 5% sugar syrup =5% of x = 0.05x

According to the question, we have

0.05x=6\\\text{Divide 0.05 on the both sides we get}\\\Rightarrow\ x=\frac{6}{0.05}\\\Rightarrow\ x=\frac{600}{5}\\\Rightarrow\ x=120

Hence, 120 grams sugar syrup is made by 5% sugar syrup of 6g sugar.

5 0
3 years ago
Read 2 more answers
Solve ax-5=b for a. So which one is right A,B,C or D
Darya [45]
It would be c

ax-5=b What you have to do is get a to be by itself

So you would add 5 to both sides:
ax-5(+5)=b(+5) = ax=b+5

And then divide x by both sides. You divide because a is multiplied by x on the left side, so to move it to the other side you’d have to do the opposite and divide:
ax /x=b+5 /x

Answer is C ... a=(b+5) /x
7 0
3 years ago
Read 2 more answers
I need help 0.259 written out as a fraction or mixed number?
oksano4ka [1.4K]

1) To write 0.259 as a fraction let's firstly rewrite as

\frac{259}{1000}

2) Count the digits the dot has gone to the left. Each digit to the left means divided by ten. Like this:

3) Since it starts with a zero then it can't be a Mixed number. So it is an improper fraction. No further simplification could be done.

4 0
1 year ago
Find the equation of the line passing through the points (0,7) and (5,-3). <br>​
Dennis_Churaev [7]

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )

m = \frac{-3-7}{5-0} = \frac{-10}{5} = - 2

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 2x + 7 ← equation of line

8 0
2 years ago
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