The centre of the circle is (3,a) and a point on the circumference is (6,-1). if the radius of the circle is 3 units , find the value of a​

Answer:

x=7.1429 I think that's the answer and I think it's A

Answer:

327.5 feet²

Step-by-step explanation:

Let's divide the figure into multiple shapes (Refer to image). To determine the area of the figure, we need to find the area of the divided shapes, then sum it up to obtain the area of the figure.

Determining the area of the triangle:

Given dimensions:

Determining the base of the triangle:

[tex]22 + b + 5 = 7 + 8 + 17[/tex]

[tex]27 + b = 32[/tex]

[tex]b = 32 - 27[/tex]

[tex]b = 5 \ \text{ft}[/tex]

Substituting the base and the height:

[tex]\text{Area of triangle} = \frac{1}{2} \times \text{Base} \times \text{Height}[/tex]

[tex]\text{Area of triangle} = \frac{1}{2} \times 5\times11[/tex]

Simplifying the R.H.S to determine the area:

[tex]\text{Area of triangle} = 5\times5.5[/tex]

[tex]\text{Area of triangle} = 27.5 \ \text{ft}^{2}[/tex]

Determining the area of rectangle₁

Given dimensions:

Substitute the length and the breadth:

[tex]\text{Area of rectangle}_{1}} = LB[/tex]

[tex]\text{Area of rectangle}_{1}} = (5)(17)[/tex]

Simplify the R.H.S to determine the area:

[tex]\text{Area of rectangle}_{1}} = 85 \ \text{feet}[/tex]

Determining the area of rectangle₂

Given dimensions:

Substitute the length and the breadth:

[tex]\text{Area of rectangle}_{2} = LB[/tex]

[tex]\text{Area of rectangle}_{2} = (7 + 5)(8)[/tex]

Simplify the R.H.S to determine the area

[tex]\text{Area of rectangle}_{2} = (7 \times 8) + (5 \times 8)[/tex]

[tex]\text{Area of rectangle}_{2} = 56+ 40[/tex]

[tex]\text{Area of rectangle}_{2} = 96 \ \text{feet}^{2}[/tex]

Determining the area of rectangle₃

Given dimensions:

Substitute the length and the breadth:

[tex]\text{Area of rectangle}_{2} = LB[/tex]

[tex]\text{Area of rectangle}_{2} = (17)(7)[/tex]

Simplify the R.H.S to determing the area:

[tex]\text{Area of rectangle}_{2} = 119\ \text{feet}^{2}[/tex]

Determining the area of the figure:

A (Figure) = A (Triangle) + A (Rectangle₁) + A (Rectangle₂) + A(Rectangle₃)

                 =     27.5 + 85 + 96 + 119

                 =     327.5 feet²

Answer:

the answer is 10% if it is simple interest you're talking about.

The radius of the balloon given the information in the question is 8.98cm.

The first step is to determine the volum of the balloon.

Volume = 81π cm^3 x 12 = 972π cm^3

Now, determine the radius using this formula:

∛[Volume / (4/3π )]

∛[972π cm^3/ (4/3π )] = 8.98cm

Here is the complete question:

Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon. What is the radius of the balloon?

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Let's check one by one

#1

And

Till now it's ok but

But as B$\cap$ C has no elements this expression yields A$\cap$ C

Hence

#2

Solve RHS

But according to first statement second part has no elements so it yields only

And

It denotes to common elements of A and B not all elements of A

Hence

#3

[tex]\\ \rm\Rrightarrow P(A-B)=32[/tex]

[tex]\\ \rm\Rrightarrow 2^{|A-B|}=32[/tex]

[tex]\\ \rm\Rrightarrow 2^{|A-B|}=2^5[/tex]

[tex]\\ \rm\Rrightarrow |A-B|=5[/tex]

[tex]\\ \rm\Rrightarrow A-B=\pm 5[/tex]

As elements can't be negative integer it's only 5.

[tex]\\ \rm\Rrightarrow A\cap B=A-(A-B)=9-5=4\star[/tex]

And

[tex]\\ \rm\Rrightarrow P(B-A)=16[/tex]

[tex]\\ \rm\Rrightarrow 2^{|B-A|}=16[/tex]

[tex]\\ \rm\Rrightarrow 2^{|B-A|}=2^4[/tex]

[tex]\\ \rm\Rrightarrow |B-A|=4[/tex]

[tex]\\ \rm\Rrightarrow B-A=\pm 4[/tex]

Again take it positive 4

[tex]\\ \rm\Rrightarrow B\cap A=B-(B-A)=7-4=3[/tex]

As

[tex]\\ \rm\Rrightarrow A\cap B\neq B\cap A[/tex]

All statements are incorrect

Answer:

He needs to find the area of each lateral face plus the area of the base. The total surface area is 84.

Step-by-step explanation:

area of a triangle= b×h×1/2

therefore area of each triangle(lateral face)= 6×4×1/2= 12

12×4 because there are 4 triangles=48

then the area of the base= 6×6= 36

total surface area= 36+ 48=84

The sector angle formed by the cone when it is opened is: 54°.

Curved surface area of a cone = πrl, where l is the slant height and r is the radius of the cone.

Area of a sector in a circle = ∅/360 × πr², where ∅ is the sector angle.

Step 1: Find the height (h) of the cone using the volume formula, V= 1/3 x π x r² x h:

V = 95.4 cm³

r = 2.4 cm

Plug in the values:

95.4 = 1/3 x 3.14 x 2.4² x h

95.4 = 6.03 x h

h = 15.8 cm

Step 2: Use the pythagroean theorem to find the slant height (l) of the cone

l = √(h² + r²)

Plug in the values

l = √(15.8² + 2.4²)

l = 16 cm.

Step 3: Find the curved surface area of the cone

Curved surface area = πrl = π(2.4)(16) = 120.6 cm².

Step 4: Find the sector angle of the sector formed by the cone when opened

Curved surface area of the cone = area of the sector formed by the cone = 120.6 cm².

Area of a sector in a circle = ∅/360 × πr², therefore:

120.6 = ∅/360 × (3.14)(16²)

120.6 = ∅/360 × 803.84

(120.6)(360) = (∅)(803.84)

43,416 = (∅)(803.84)

43,416/803.84 = ∅

∅ = 54°

Therefore, the sector angle formed by the cone when it is opened is: 54°.

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Answer:

I would think that It is the first one but if it is not trust the other people

Step-by-step explanation:

Answer:

A. False

B. True

C. True

Step-by-step explanation:

A: Area of traingle = 1/2 × Base Length × Height

Area of parallelogram = Base Length × Height

Therefore, Statement A is False.

B: Base on the ratio for height to base length 3:4,

Statement B is True.

C: Base Length = 4.8 ÷ 4 × 3

= 3.6 mm

Area of Triangle = 1/2 × Base Length × Height

= 1/2 × 3.6 × 4.8

= 8.64mm²

Therefore, Statement B is True.

mistake: the storm trooper used the wrong order of solving the problem, you first do × and : and then + and -

correct answer:

6×7-16:4

= 42-4

= 38

Answer:

y-intercept is 2

x- intercept(s) are -4 and 2

Step-by-step explanation:

y-intercept is where the line crosses the y line (vertical)

x- intercept is where the line crosses the x line (horizontal)

Answer:

There is sufficient evidence to conclude that the distribution of responses is different now than it was historically.

Step-by-step explanation:

Since the p-value is less than the alpha significance level you reject the null hypothesis that the histrocial data matches the current.

We don't have enough evidence to conclude that the distribution of responses is different now than it was historically.

Human resources are the people who make up an organization's, business sector's, industry's, or economy's workforce.

A more specific concept is human capital, which refers to the knowledge and skills that individuals possess.

The chi-square goodness-of-fit test has a p-value of 0.089 at a significance level of 0.10. We cannot reject the null hypothesis because the p-value is greater than 0.10.

As a result, we lack sufficient evidence to conclude that the distribution of responses is different now than it was previously.

"We don't have enough evidence to conclude that the distribution of responses is different now than it was historically," is the correct answer.

Thus, this can be concluded regarding the given scenario.

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Your question seems incomplete, the probable complete question is:

Transcribed image text: Inference for categorical data (chi-square tests); Unit test The human resources department at a large company regularly conducts an employee satisfaction survey. One them on the survey presents employees with the statement, "I am happy overall at work. Based on historical data, here is the distribution of responses to this item Response Strongly Agree agree Disagree Strongly disagree 70% 15% 5% 10% Historical distribution The human resources department wants to test if the most recent responses fit the historical distribution. Here is a sample of 150 of the most recent responses to the statement along with a chi-square goodness-of-fit test. Response Strongly agree Agree Disagree Strongly disagree Inference for categorical data (chi-square tests): Unit test Response Strongly Agree Disagree Strongly agree disagree Observed 104 20 12 Expected 105 22.5 7.5 15 Components 0.01 0.28 5.63 0.6 x 6.52, DF - 3 P-value=0.089 Assume that all conditions for inference were met. At the a = 0.10 significance level, what should the human resources department conclude about the distribution of responses? Choose 1 answer: There is sufficient evidence to conclude that the distribution of responses is different now than it was Inference for categorical data (chi-square tests: Unit test Assume that all conditions for inference were met At the a 0.10 significance level, what should the human resources department conclude about the distribution of responses? Choose 1 answer: There is sufficient evidence to conclude that the distribution of responses is different now than it was historically We don't have enough evidence to conclude that the distribution of responses is different now than it was historically There is sufficient evidence to conclude that the distribution of responses is the same as it was historically No conclusions can be made from this test, because O expected counts cannot include decimals. There must have been a mistake in the calculations.

Answer:

False

Step-by-step explanation:

Vertical angles are not always adjacent, but they are always congruent.

Hope that helps!

Answer:

False

Step-by-step explanation:

Hope it will help you*

Answer:

238

Step-by-step explanation:

First, you have to figure out the area for each of the boxes, and then you add all of the areas together

Answer:

Step-by-step explanation:

(a). 5.33 m

(b). 41.65 m²

[tex]b = 2[/tex]

Step-by-step explanation:

[tex]bx= 20[/tex]

insert x=10

[tex]b(10) = 20[/tex]

divide both sides by 10

[tex]b(10) \div 10 = 20 \div 10[/tex]

[tex]b = 20 \div 10[/tex]

simplify

[tex]b = 2[/tex]

Answer:

Step-by-step explanation:

The perimeter of an equilateral triangle is:

P = 3a (where a any length of the triangle)

The area of an equilateral triangle is:

[tex]A = \frac{\sqrt{3} }{4} a^{2}[/tex] (where a is the side length)

Using the area formula we can rearrange it to get the formula of the length of the equilateral triangle:

[tex]a = \frac{2}{3} 3^{\frac{3}{4} } \sqrt{A}[/tex]

Then three important formulas are

[tex]\\ \rm\Rrightarrow Perimeter=3s[/tex](As sides are equal)

[tex]\\ \rm\Rrightarrow Area=\dfrac{\sqrt{3}}{4}s^2[/tex]

[tex]\\ \rm\Rrightarrow Height=\dfrac{\sqrt{3}s}{2}[/tex]

Answer:

68 and 22 degrees

Step-by-step explanation:

Complimentary angles sum to 90

x  +   (x-46) = 90

2x = 90 + 46

2x = 136

x = 68    and the other is 68 - 46 = 22

Answer:

[tex]0.\overline{23}= \frac{23}{99}[/tex]

Step-by-step explanation:

Let [tex]x = 0.\overline{23}[/tex]....(1)

Multiply both sides by 100.

[tex]100x = 23.\overline{23}[/tex]....(2)

Subtracting equation (1) from equation (2)

[tex]100x -x= 23.\overline{23}-0.\overline{23}[/tex]

[tex]\implies 99x= 23[/tex]

[tex]\implies x= \frac{23}{99}[/tex]

[tex]\implies\huge{\orange{ 0.\overline{23}= \frac{23}{99}}}[/tex]

Answer:

0.6%

Step-by-step explanation:

40% is the percentange of how many students play an instrument. (the whole) 20% is how many freshmen play. (part)

30% are the freshmen. 30% is over 100%.

20 x 100= 2000 and 40 x 30= 1200.

With the answers we got (2000 and 1200) we divide!!

2000÷1200=0.6

Which means the probabillity that the student is a random freshmen is 0.6% :)

Answer:

20

Step-by-step explanation:

I think

sorry

The required Henry needs to score 18 points in his next game to have an average of 24 points per game.

The mean of the values is the ratio of the total sum of values to the number of values.

Here,
average = sum of all scores/number of scores

We know that Henry has played four games so far, and his scores are 30, 29, 22, and 21 points. Therefore, the sum of his scores is:

sum of scores = 30 + 29 + 22 + 21 = 102

Let's assume that Henry scores x points in his next game. Then, his total score for all five games will be,

total score = 102 + x

If his average is 24 points per game, we can set up the equation:

24 = (102 + x) / 5

120 = 102 + x

x = 18

Therefore, Henry needs to score 18 points in his next game to have an average of 24 points per game.

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Answer:

Option C

Step-by-step explanation:

Attached photo might help you out

The megaliter is 10,000 times larger than a hectoliter

An equation is an expression that shows the relationship between two or more numbers and variables.

1 mega liter = 10⁶ Liter

1 hectoliter = 10² Liter.

Hence, a megaliter is 10,000 (10⁶/10²) times larger than a hectoliter

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Step-by-step explanation:

Answer:

10,000

Step-by-step explanation:

Got it right on the assignment.

Answer: Below

Step-by-step explanation:

We know that water must be three times flour, so our end goal is 12 cups of water, since 4 * 3 = 12.

We already have 2.5 and 4, so we make the equation:

2.5 + x = 12

Simplify.

x = 7.5

Our answer is 7.5

Answer:

Step-by-step explanation:

Put the data in the ascending order

Find all the numbers

a)

b)

Answer:

32

Step-by-step explanation:

Answer:

B. 15 inches

Step-by-step explanation:

you multiply 6 x 5 since those are the dimensions of the triangles which equals 30 then you divide by 2 to get an answer of 15

Answer:

i would say A.  10in

Step-by-step explanation:

If Kevin works two more hours than Emily, the correct number of hours that complete the table are 6, 5, 8, and j.

The number of hours can be expressed as:

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