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3 years ago

WILL GIVE BRAINLIST IF ANSWERS QUICKLY!

Mathematics

1 answer:

stealth61 [152]3 years ago

5 0

Answer:

choice a is the answer

0.17

Step-by-step explanation:

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one leg of a right triangle has length 7. the lengths of the other two sides are whole numbers. the length of the other leg is ?

zalisa [80]

Sets of three integers that could be right triangles are called pythagorean triples. the only pythagorean triple including 7 is 7, 24, and 25. so the length of the other leg is 24 and the length of the hypotenuse is 25. hope this helped!

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3 years ago

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A circle has a radius of 3. An arc in this circle has a central angle of 60 degrees. What is the length of the arc?

Yuliya22 [10]

Answer:

The answer is 3.14 units

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3 years ago

Which recursive sequence would produce the sequence 8,-35,137,…?

vagabundo [1.1K]

The recursive sequence that would produce the sequence 8,-35,137,… is T(n + 1) = -3 - 4T(n) where T(1) = 8

<h3>How to determine the recursive sequence that would produce the sequence?</h3>

The sequence is given as:

8,-35,137,…

From the above sequence, we can see that:

The next term is the product of the current term and -4 added to -3

i.e.

Next term = -3 + Current term * -4

So, we have:

T(n + 1) = -3 + T(n) * -4

Rewrite as:

T(n + 1) = -3 - 4T(n)

Hence, the recursive sequence that would produce the sequence 8,-35,137,… is T(n + 1) = -3 - 4T(n) where T(1) = 8

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1 year ago

For what values of x and y must ABCD be a parallelogram?

n200080 [17]

Step-by-step explanation:

We know that vertically opposite angles of a parallelogram are equal .

$\angle ABC =\angle ADC\ and \ \angle BAD = \angle DAC$

⇒ $3x^{\circ}=(4x-21)^{\circ} \ and \ 3y^{\circ}=(y+78)^{\circ}$

⇒ $3x^{\circ}-4x^{\circ}=-21^{\circ} \ and \ 3y^{\circ}-y^{\circ}=78^{\circ}$

⇒ $-x^{\circ}=-21^{\circ} \ and \ 2y^{\circ}=78^{\circ}$

⇒ $x^{\circ}=21^{\circ} \ and \ y^{\circ}=39^{\circ}$

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3 years ago

a survey of 504 citizens found that 378 of them favor a new bill introduced by the city. We want to find a 95% confidence interv

Viefleur [7K]

The lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

<h3>What is a confidence interval?</h3>

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

We have:

A survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Sample proportion = p = 378/504 = 0.75

q = 1 - p = 1 - 0.75 = 0.25

$\rm SD = \sqrt{\dfrac{pq}{n}}$

$\rm SD = \sqrt{\dfrac{0.75\times0.25}{504}}$

SD = 0.01928

For 95% confidence interval Z value = 1.96

Lower limit = 0.75 - 1.96(0.01928)

= 0.712

Thus, the lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

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1 year ago