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2 years ago

The circle passes through the point (-1.-6). What is its radius?

Mathematics

1 answer:

Mice21 [21]2 years ago

7 0

Answer:

Step-by-step explanation:

Not enough information.

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24 loaves of bread cost 48 dollars how much does 10 loaves cost?

vladimir1956 [14]

$20
One loaf costs 2 dollars- Multiply both sides of the ratio by 10 and you get 20 as ur answer.

6 0

2 years ago

Read 2 more answers

Find the magnitude and direction in degrees of the vector v=6i+2 seq31

masha68 [24]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the vector

v = 6i + 2√3j

The Magnitude of a vector:

$\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}$

$=\sqrt{6^2+\left(2\sqrt{3}\right)^2}$

$=\sqrt{36+12}$

$=\sqrt{48}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

$=\sqrt{3}\sqrt{2^4}$

$=4\sqrt{3}$

The Direction of a vector:

tan Ф = y/x

y=2√3

x = 6

tan Ф = y/x

= 2√3 / 6

= √3 / 3

$\theta \:=tan\:^{-1}\left(\frac{\sqrt{3}}{3}\right)$

$\:\theta \:=\frac{\pi \:}{6}=30^{\circ \:}$

6 0

2 years ago

Collins Middle School has 217 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the

lbvjy [14]

Answer:620

Step-by-step explanation: lets say the total of school is X so:

X.35÷100=217

when we calculate this the answer will be 620

4 0

3 years ago

Read 2 more answers

Need help with #11. The answer is about 13.86 years but show work please.

tangare [24]

Answer:

13.86

Step-by-step explanation:

formula for cont. compounding interest is

Amount = Principal * e^rt

in this case the principal is 5000, and the amount is 10000 (double). the rate is 5% or 0.05. and t is what we are solving for.

sub in to get:

10000 = 5000e^0.05t

2 = e^0.05t

now convert to log form.

ln 2 = 0.05t

ln 2 / 0.05 = t

punch that into your calculator and you get 13.86 years

6 0

3 years ago

What are the square roots of; (note: i think there are supposed to be 2 each) 36 12 1.96 0.64 400 25/36

Goryan [66]

Answer:

36 : 6 and -6

12 = $2\sqrt{3} , -2\sqrt{3}$

1.96 =1.4 and -1.4

0.64 : 0.8 and -0.8

400 : 20 and -20

25/36 = 5/6 and -5/6

Step-by-step explanation:

we know that

(-x)^2 = x^2

ALSO

(x)^2 = x^2

thus, square of both negative and positive number is same positive number.

_________________________________________________

36 = 6*6

36 = -6*-6

hence

square roots of 36 is both -6 and 6

12 = 4*3 = $2^2*\sqrt{3} *\sqrt{3}$

$\sqrt{12} = 2\sqrt{3}$

also

12 = $-2\sqrt{3} *-2\sqrt{3}$

$\sqrt{12} = -2\sqrt{3}$

___________________________________

1.96 = 196/100 = (14/10)^2

1.96 = 196/100 = (-14/10)^2

hence

$\sqrt{1.96} = 14/10 \ or -14/10$

_______________________________

0.64 = 64/100 = (8/10)^2 = 0.8^2

0.64 = 64/100 = (-8/10)^2 = (-0.8)^2

Thus, square root of 0.64 = 0.8 and -0.8

_________________________________

400 = 20^2

400 = (-20)^2

$\sqrt{400} = 20\\\sqrt{400} = -20\\$

__________________________________

25/36 = (5/6)^2

25/36 = (-5/6)^2

$\sqrt{ 25/36} = 5/6 \\\sqrt{ 25/36} = (-5/6$

7 0

2 years ago