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3 years ago

Which is the length of the hypotenuse of the right triangle? Round your answer to the nearest tenth of a centimeter.

Mathematics

2 answers:

Olegator [25]3 years ago

8 0

Answer:

Length of hypotenuse of given triangle

= sqrt(356) (exact value)

= 18.87 (to 2 decimal places)

Step-by-step explanation:

Using the pythagorean Theorem,

The hypotenuse

c = sqrt(a^2+b^2)

= sqrt(16^2+10^2)

= sqrt(356) (exact value)

= 18.87 (to 2 decimal places)

IgorC [24]3 years ago

5 0

Answer:

10^2 are 100,

16^2 are 256.

100 + 256 are 356.

so, sqrt(356) are nearly 18.

hope u like it

Step-by-step explanation:

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Fifty randomly selected individuals were timed completing a tax form. the sample mean was 23.6 minutes; the sample standard devi

VLD [36.1K]

Given:
n = 50, sample size
$\bar{x} = 23.6 \, min$ , sample mean
s = 2.4 min, sample standard deviation.

The confidence interval is
$\bar{x} \pm t^{*} \frac{s}{ \sqrt{n} }$

At the 99% confidence level, t* (from the student's t-distribution) is
t* = 2.68
Therefore
t*(s/√n) = 2.68*(2.4/√50) = 0.9096

The confidence interval is
(23.6-0.9096, 23.6+0.9096) ≈ (22.69, 24.51)

Answer: (22.7, 24.5)

5 0

3 years ago

Help asappppp? i’m having trouble on wat the 1/4 point is

blagie [28]

Answer:

(-14, 5.5)

Step-by-step explanation:

Perhaps the easiest way to find the 1/4 point is to find (x, y), then find the midpoint between that and M.

(x, y) = 2M -(13, 25) = 2(-5, 12) -(13, 25) = (-23, -1)

Then the 1/4 point is ...

((-23, -1) +M)/2 = ((-23, -1) +(-5, 12))/2 = (-28, 11)/2 = (-14, 5.5)

_____

If we call the end points A(x, y) and B(13, 25), then we know ...

M = (A+B)/2

A = 2M -B . . . . we'll need this in a bit

and the 1/4 point Q is such that ...

(Q -A)/(B -A) = 1/4

4Q -4A = B -A . . . . cross multipliy

Q = (B +3A)/4 = (B +3(2M -B))/4 = (6M -2B)/4 . . . . solve for Q

Q = (3M -B)/2 . . . . reduce the fractions

Q = (3(-5, 12) -(13, 25))/2 = (-28, 11)/2 = (-14, 5.5) . . . as above

6 0

3 years ago

Determine whether the sequence converges or diverges. If it converges, give the limit. 48, 8, four divided by three, two divided

Inga [223]

Answer:

Converges, 57.6

Step-by-step explanation:

48, 8, 4/3, 2/9...

ratio = 8/48 = 1/6

A sequence converged if the ratio is between -1 and 1.

So, this sequence converges

Limit = a/(1-r)

Where a is the first term, and r is the common ratio

Limit = 48/[1 - (1/6)]

= 48/[5/6]

= 48 × 6/5

= 57.6

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3 years ago

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Kazeer [188]

To find the distance between 2 numbers you must take the absolute value of the difference

|90-(-20)|
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110 degrees celsius

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3 years ago

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Which is the solution of the equation a + 2 = 10?

Alexandra [31]

Hey there!

a + 2 = 10

SUBTRACT 2 to BOTH SIDES

a + 2 - 2 = 10 - 2

CANCEL out: 2 - 2 because that gives you 0

KEEP: 10 - 2 because that helps solve for the a-value

10 - 2 = a

10 - 2 = 8

Answer: Option C. a = 8

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

8 0

3 years ago

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