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Jlenok [28]
3 years ago
8

If two lines are parallel and one has a slope of 1/6, what is the slop of the other linr?

Mathematics
1 answer:
Oksanka [162]3 years ago
8 0
Parallel lines have the same slope, so the slope of the other line is also 1/6
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What is the circumference of a circle with a radius of eight inches
stira [4]

Answer:

  • 50.24 inches

\:

Step-by-step explanation:

It is given that, the radius of a circle is 8 inches and we are to find the circumference of the circle.

\:

To find the circumference of the circle we must know this formula first :

\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{  \: Circumference_{(circle)}= 2 \pi r}}}}}} \: \: \bigstar \\ \\

Where

  • r is the radius of the circle.

  • We'll take the value of π as 3.14

Now substituting the values in the formula :

\\{ \longrightarrow \qquad{  {{\sf{{  \: Circumference_{(circle)}= 2  \times 3.14 \times  8}}}}}} \: \:  \\ \\

{ \longrightarrow \qquad{  {{\sf{{  \: Circumference_{(circle)}=    3.14 \times  16}}}}}} \: \:  \\ \\

{ \longrightarrow \qquad{  { \pmb{\frak{{  \: Circumference_{(circle)}=    50.24}}}}}} \: \:  \\ \\

Therefore,

  • The circumference of the circle is 50.24 inches
7 0
2 years ago
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Can someone help me answer this
VikaD [51]
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Your welcome lolololololol


8 0
3 years ago
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Tom asked his Granny how old she was. Rather than giving him a straight answer, she replied: "I have 6 children, and there are 4
Ede4ka [16]

Answer: 58 years old

Step-by-step explanation:

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3 years ago
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In the given figure find the value of x and y?<br>Show you works - Thank you!​
Vaselesa [24]

<u>EXPLANATION</u><u>:</u>

In ∆ ABC , ∠ABC = 40°

  • ∠CAB = x°
  • & ∠ACD = 50°

∠ACD is an exterior angle formed by extending BC to D

We know that

The exterior angle of a triangle formed by extending one side is equal to the sum of the opposite interior angles.

∠ACD = ∠CAB + ∠ABC

⇛50° = x° + 40°

⇛x° = 50°-40°

<h3>⇛x° = 10°</h3>

and

In ∆ ACD , AC = CD

⇛ ∠CDA = ∠CAD

Since the angles opposite to equal sides are equal.

Let ∠CDA = ∠CAD = A°

We know that

The sum of all angles in a triangle is 180°

In ∆ ACD,

∠CDA +∠CAD + ∠ACD = 180°

A°+A°+50° = 180°

⇛2A°+50° = 180°

⇛2A° = 180°-50°

⇛2A° = 130°

⇛A° = 130°/2

⇛A° = 65°

now,

∠CDA = ∠CAD = 65°

∠BAC + ∠CAD+y = 180°

Since angles in the same line

10°+65°+y = 180°

⇛75°+y =180°

⇛y = 180°-75°

<h3>⇛y = 105°</h3>

<u>Answer</u><u>:</u> Hence, the value of “x” & “y” will be 10° and 105° respectively.

4 0
3 years ago
Suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of
Lady_Fox [76]

Answer:

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 650 and a standard deviation of 24.

This means that \mu = 650, \sigma = 24.

Sample of 36:

This means that n = 36, s = \frac{24}{\sqrt{36}} = 4

What is the shape of the sampling distribution you would expect to produce?

By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.

7 0
3 years ago
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