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Ostrovityanka [42]
3 years ago
7

Having trouble with this

Mathematics
1 answer:
GaryK [48]3 years ago
7 0
Jayden ran 1/5 of his total distance in 1 minute. His total distance is 6/5 of a kilometer. He ran 6/25 of a kilometer in 1 minute or 3/5 of a lap.
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Find the radius r of the circle. Round your answer to the nearest tenth.
Genrish500 [490]

First off we need to use the formula S = rΘ

S - is the arc length

Θ - is theta which is the radian measure

r - is the radius

In this problem we need to find r

So, our equation would look like:

S ÷ Θ = r

Before we solve though, we need to convert the degrees to radians:

To convert from degrees to radians, multiply the degrees by π/180° radians:

60 x π/180 = 1.0472

If you input the numbers you get:

10.2 / 1.0472 = 9.740

The radius is 9.7 yards.

4 0
3 years ago
How many real number solutions exist for 2x2 + 8x + 8 = 0?
klasskru [66]
Hello,

There is one solution with multiplicity 2.
2x^2+8x+8=0\\
2(x^2+4x+4)=0\\
2(x+2)^2=0\\
Sol=\{ {-2}\}
4 0
4 years ago
Vita wants to center a towel bar on her door that is 27 1/2 inches wide. She determines that the distance from each end of the t
timurjin [86]

Answer:

The equation is x+18 =\frac{55}{2}..

The length of the towel bar is \frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in..

Step-by-step explanation:

Given,

Length of the door = 27\frac{1}{2}\ in

we can rewrite 27\frac{1}{2}\ in as  \frac{55}{2}\ in.

We have to find out the length of the towel bar.

Let the length of towel bar be 'x'

`Since Vita wants that the distance from each end of the towel bar to the end of the door to be 9 inches.

So we can say that the length of the towel bar plus  from each end of the towel bar to the end of the door plus  from each end of the towel bar to the end of the door  is equal to length of door.

framing in equation form, we get;

x+9+9= \frac{55}{2}\\\\x+18 =\frac{55}{2}

Hence The equation is x+18 =\frac{55}{2}.

Now we solve the equation we get;

Subtracting both side by 18 we get;

x+18-18=\frac{55}{2}-18\\\\x=\frac{55}{2}-18

Now we will make the denominator common we get;

x=\frac{55}{2} -\frac{18\times2}2= \frac{55}{2} -\frac{36}2 = \frac{55-36}{2}=\frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in

Hence The length of the towel bar is \frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in.

6 0
4 years ago
Please help please i need help​
OleMash [197]

Answer:

d + 85

Step-by-step explanation:

Look at it like this,

suppose you have 1 DVD, and the mother buys 85 DVDs then you have 1 + 85 = 86 DVDS

or when you have 2 DVDs, then you have 2 + 85 = 87 DVDs afterwards.

notice that you always take the number of DVDs you already have, and add 85 to it.

d is just a number, but you just don't know it yet. you can change d by any number, and you know d+85 is the number of DVDs afterwards

5 0
3 years ago
How do you identify the constant of proportionality when given an equation?
STatiana [176]
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k. (i looked up this explanation but not sure if it’s right.. if it’s wrong let me know:) )
8 0
3 years ago
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