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love history [14]
3 years ago
15

Find the area of each shaded segment in nearest tenth.

Mathematics
1 answer:
shepuryov [24]3 years ago
7 0

Answer:

Denote the center of circle as O, the 2 endpoints of shaded segment as AB, then we have:

section OAB area = pi x radius^2 x (120/360) = pi x 6^2 x (1/3) = 37.7 (cm2)

Considering triangle OAB, we have OA = OB = radius, angle AOB = 120 deg. Denote OH as the height of triangle. H lies on AB.

=> Applying cosine and sine theorem in right triangle AHO:

OH = OA x cos 60 = 6 x (1/2) = 3 (cm)

AH = OA x sin 60 = 6 x (sqrt3)/2 = 5.2 (cm)

=> triangle AOB area:

A = triangle AOH area x 2

   = AH x OH x (1/2) x 2 = 3 x 5.2 x (1/2) x 2 = 15.6 (cm2)

=> shaded segment area = section OAB area - triangle AOB

                                          = 37.7 - 15.6 = ~21.1 (cm2)

Hope this helps!

:)

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What is the multiplicative inverse of -27 and what is the multiplicative inverse for 7/9 and -9/16
liberstina [14]

The multiplicative inverse of a number is the number when you multiply it, it gives you the product of 1.

So for - 27, what number will give us 1 when we multiply it by -27

-27 * -1/27 = 1

So the multiplicative inverse of -27 = -1/27

7/9 * 9/7 = 1

-9/16 * -16/9 = 1

So in essence, just take the number and flip it

-27 = -1 / 27

7/9 = 9/7

-9/16 = -16/9

3 0
3 years ago
Y= 2x +2
Airida [17]

Answer:

The system has one solution, at a single point of intersection.

Step-by-step explanation:

I'm going to assume that g and y are the same thing here, on a normal xy-coordinate plane. If there is actually a third dimension, 'g', then I am probably wrong, and I apologize.

For a system of 2 linear equations, a 'solution' is a point of intersection for the two lines.

If the two lines are parallel, they will have no intersection. These two equations are in the form y = mx + b, where m is the slope. <u>If their slopes are the same, then the lines are parallel.</u> The first equation has a slope of 2. The second equation has a slope of 6. 2 ≠ 6, obviously. They are are <u>not </u>parallel, so there is <u>at least one</u> solution (intersection)

If two equations are 'equivalent', then they represent the same exact line and you cannot find a unique solution to the system because there is no single point where they intersect. They intersect at <u>all </u>points, so there are an infinite number of solutions. Two equations in the same format (like point-slope) will be equivalent if you see that one is just a multiple of the other. That is not the case here. They are not equivalent, so there are not an infinite number of solutions.

For the intersection of two lines in a plane, that intersection is no point, 1 point, or infinite points.

We have ruled out no point and we have ruled out infinite points.

There must be a solution of one point where the two lines intersect.

That would be consistent with answers B and E as shown in your Brainly question.

4 0
3 years ago
Read 2 more answers
50 POINTS!!! WILL MARK BRAINLIEST!!! CORRECT ANSWERS PLS 1 HOUR LEFT
Brut [27]

Answer:

○ 3

○ y + ½ = 3(x - 2)

○ Multiply both sides of the equation by 3. The Standard Form of the equation is 12x - 2y = 24.

○ 5x - 3y = 15

○ y = ½x + 5⁄2

Step-by-step explanation:

Find the <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

-y₁ + y₂\-x₁ + x₂ = m → (-1, 1) and (-2, -2)

\frac{2 + 1}{2 - 1} = 3

__________________________________________________________

According to the Point-Slope Formula, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting this coordinate into the formula with their CORRECT SIGNS:

(2, -½) → y + ½ = 3(x - 2)

__________________________________________________________

We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it:

-3[4x - ⅔y = 8] → -12x + 2y = -24

** They should have multiplied by -3 instead of 3 because that negative is hooked up to everything in the fraction, but since the exercise gave you 12x - 2y = 24, go with 12x - 2y = 24.

__________________________________________________________

If you would take a look at this graph real closely, you will see that this graph intersects the y-axis and x-axis at ENDPOINTS, so to find the x-intercept, you simply plug in <em>zero</em> for <em>y</em>: 5x = 15, and you will know right away that <em>x</em><em> </em>is set to equal 3, which is what you see in the graph, (3, 0). Now, to find the y-intercept, you simply plug in <em>zero</em><em> </em>for <em>x</em>: -3y = 15, and you will know right away that <em>y</em><em> </em>is set to equal -5, which is what you see on the graph as well, (0, -5). With that being said, you have your answer.

__________________________________________________________

y - 3 = ½(x - 1)

y - 3 = ½x - ½

+ 3 + 3

_____________

y = ½x + 2½

* 2½ = 5⁄2

I am joyous to assist you anytime.

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3 years ago
Sarah is investing $10,000 in a CD at a bank. If the bank uses simple interest, and the bank pays 2.75% in interest annually, ho
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Answer: it would be worth $11925 when it matures after 7 years.

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

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P represents the principal or amount invested in the CD.

R represents interest rate on the amount invested in the CD.

T represents the duration of the investment in years.

From the information given,

P = $10,000

R = 2.75%

T = 7 years

I = (10000 × 2.75 × 7)/100

I = $1925

Therefore, the worth of the CD in total at the end of 7 years when the CD matures is

10000 + 1925 = $11925

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3 years ago
How many people live in the state of Tennessee?
DochEvi [55]
6.549 million in 2014 i hope this helps.
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3 years ago
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