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tankabanditka [31]
3 years ago
11

Circle J is congruent to circle P. Circles J and P are congruent. Chords O K and Q R are congruent and chords K M and R T are co

ngruent. If OK = 2x, QR = 12, and RT = x + 3, what is the length of chord KM? 8 9 10 12
Mathematics
2 answers:
aniked [119]3 years ago
6 0

Answer: 9

Step-by-step explanation:

Molodets [167]3 years ago
4 0

Answer: 9

Step-by-step explanation:

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2400meters = kilometers
kupik [55]

Answer:

2.4.....................

8 0
3 years ago
Read 2 more answers
Whats 20 divided by one fourth
alukav5142 [94]
20 ÷ 1/4

20 × 4/1

= 80
7 0
3 years ago
You are mowing a lawn. After 12 minutes, 52% of the lawn still needs mowed. How long does it take to mow the entire lawn? Write
aleksley [76]
12/x = 52/48
12 * 48 = 52x
x = 11.07 This is one way to do it.

Let the time = x
Let the part of the lawn = y

The general equation
y = k*x
52/100 = k * 12
k = 0.043333 
y = 0.043333*x
y = 0.043333* 11.08
y = 0.48 which is what it should be.

Yet another way is to let y = kx
52 = k*12
k = 52/12
k = 4.33333333

y = 4.333333 * x
y = 4.333333 * 48
48  = 4.333333 * x
x = 11.07 which is just what you should expect.
7 0
3 years ago
a recipe of cookies uses 220 g of butter and 110 g of caster sugar and 275 grams of flour what is the ratio of sugar to flour to
andre [41]

Answer: 22 to 55 to 44


Step-by-step explanation: Start with the factors you know. It can't be two because 2 doesn't go into 275 evenly. It can't be three because all of them evenly don't go into three. It can't be four because 110 and 275 don't go into it evenly. But five works. 110/ 5 is 22, 275/ 5 is 55, and 220/ 5 is 44.


7 0
3 years ago
Write a function modeling this debt situation if the initial debt in 2009 was
Karolina [17]

Answer:

To solve this, we are going to use the standard decay function where

is the final amount remaining after  years of decay is the initial amount is the decay rate in decimal form

is the decay factor

is the time in years

I will tell Greece to decrease their expending by 25%

To find our decay factor , we are going to convert the rate from percentage to decimal; to do it, we are going to divide the rate by 100%

Decay factor =

Decay factor =

Decay factor = (0.75)

We can conclude that our decay factor is (0.75)

c. To solve this, we are going to use the standard decay function  from our previous point.

where

is the final amount remaining after  years of decay is the initial amount is the decay rate in decimal form

is the decay factor

is the time in years

We know from our problem that the initial debt in 2009 was $500 billion, so ; we also know from our previous calculation that our decay factor is (0.75), so lets replace those values in our function:

We can conclude that the function that model this debt situation is: .

Greece will be debt-free when heir debt is zero. Translating this into our model, Greece will be debt-free when . Since we will need logarithms to find the time , and the logarithm of zero is not defined, we are going to use a small value for , so we can use logarithms to find .

Let . After all, a $1 debt for a country is practically the same as being debt-free.

Now, we can solve for  using logarithms:

We can conclude that, with me in charge, Greece will be debt free after 93.6 years. I won't reconsider my answer b. Even tough 93.6 years is a lot of time, decreasing the public expense more than 25% will have worse consequences for the economy of the country than the debt itself.

6 0
2 years ago
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