What is the distance from (3.5 ,5) to (3.5, -12)
17
7

Answer:

Area = 346.2yd²

Perimeter = 72.1yd

Step-by-step explanation:

AREA

Split it into three shapes: (1) the semi-circle, (2) the triangle, and (3) the rectangle. Find the area of each and then add them together for the area of the whole shape.

Area₁ = πr² = (6²)π = 36π = 113.1 yd²

Area₂ = (1/2)bh = (1/2)(11.3)(14) = 79.1 yd²

Area₃ = lw = (11)(14) = 154 yd²

154 + 79.1 + 113.1=346.2yd²

PERIMETER

The perimeter consists of the length of the curve on the semi-circle, the top , the right side, the bottom, and the slanted line.

length of the curve on the semi-circle = half the cicumference of circle with radius 6 = (2π(6))/2 = 6π = 18.8

the top = 22.3

the right side = 14

the bottom = 11

the slanted line = the hypotenuse of triangle(2) - the diameter of circle(1) = (√(11.3²+14²))-12= (√(323.69))-12=18-12=6

18.8+22.3+14+11+6=72.1yd

Using the Central Limit Theorem, it is found that the approximate standard error of the mean for a sample size of 300 is given by:

B. 0.46

It states that the sampling distribution of sample means of size n from a population with standard deviation [tex]\sigma[/tex] has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have that the parameters are [tex]\sigma = 7.89, n = 300[/tex], hence the standard error is given by:

[tex]s = \frac{7.89}{\sqrt{300}} = 0.46[/tex]

Hence option B is correct.

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Answer:

x = 7

z = 85

Step-by-step explanation:

For x:

8x + 39 = 95

8x = 56

x = 7

For z:

95 + 95 + z + z = 360

190 + 2z = 360

2z = 170

z = 85

Check work:

DOES 85 + 85 + 95 + 95 = 360 ? Yes. Answer is correct.

I would appreciate Brainliest, but no worries.

around 50%

Step-by-step explanation:

because 30 of half of 60

Answer:

$ 26.66

Step-by-step explanation:

Minus the orignal price and the sale price and then you will get the answer

Answer:

$7.85

Step-by-step explanation:

Per pound = 1

Ratios:

[tex]\frac{4.71}{0.6} =\frac{x}{1} \\\\0.6x=4.71\\x=7.85[/tex]

Answer:

Can you do it in english? I can't read in spanish sorry.

Answer:

66 in

Step-by-step explanation:

Answer:

The answer to this question is:

A = 16,100(1.001)12t; $17,510

Step-by-step explanation:

The model function for compound interest is: [tex](16000[1.001]^{12t})[/tex]

The balance after 7 years will be $17409.

Let, P = the principle amount

r = the rate of interest, compounded monthly

t = the time period

Therefore, the amount will be

[tex]= P(1 + \frac{r}{1200})^{12t}[/tex]

Given, the invested amount is $16000.

The rate of interest is 1.2%, compounded monthly.

Total duration of investment is 7 years.

Therefore, the model function of this compound interest is:

= [tex]= (16000[1 + \frac{1.2}{1200}]^{12t})\\= (16000[1 +0.001]^{12t})\\= (16000[1.001]^{12t})\\[/tex]

The amount will be

[tex]= (16000[1.001]^{12t})\\= (16000[1.001]^{84})\\= 17409[/tex]

Therefore, after 7 years, the amount will be $17409.

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Answer:

i dont know because you have not really explained it

Step-by-step explanation:

The quotient of the division of 145413 by 321 is 453.

Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.

We are using long division method here.

For that dividend is 145413 and divisor is 321.

First take the first some digits of dividend which is greater than 321.

That is the first four digits, 1454.

The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321

So the first digit of quotient is 4.

1454 - 1284 = 170

Now 170 is less than 321.

Add the next digit of the dividend to 170.

It becomes 1701.

Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.

The next digit of the quotient is 5.

1701 - 1605 = 96

Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.

Now 963 is a multiple of 321, where 963 = 3 × 321

So the next digit of the  quotient is 3.

Quotient = 453

Hence the quotient of the given division is 453.

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J.

x represents the minutes and y shows how many gallons over that time.

The correct table for best represents the situation is shown in Table J.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A standard bathtub holds 60 gallons of water.

And, A full tub drains 12 gallons per minute.

Now, From table J;

Rate of change is,

⇒ (24 - 12) / (2 - 1)

⇒ 12 / 1

⇒ 12 gallons per minutes

Which is given in situation.

Thus, The correct table for best represents the situation is shown in Table J.

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Answer:

10. Area = 72 units²

Step-by-step explanation:

10. The shape in number 10 is a trapezoid.

Area of trapezoid = ½(a + b)*h

Where,

a = 6

b = 12

h = 8

Area = ½(6 + 12) * 8

Area = ½(18)8

Area = 72 units²

Answer:

14

Step-by-step explanation:

im so sorry that the other people's comments are making you feel uncomfortable :(

there are 14 marbles in total since:

5 marbles+3 marbles+6 marbles = 14 marbles

each marble has one chance of being pulled out, therefore, there are 14 different outcomes.

Answer:

x = 136

Step-by-step explanation:

This one is quite simple

The shape formed inside of the circle is a quadrilateral.

when a quadrilateral is formed inside of a circle opposite angles of the quadrilateral will add up to 180

we are given x's opposite angle so we can find x by subtracting the given angle's measure (44) from 180

so x = 180 - 44

180 - 44 = 136

hence, x = 136

Answer:

2,100,000

Step-by-step explanation:

Just round

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

Answer:

divergent

Step-by-step explanation:

just took it

Answer: 2 is the y intercept

Step-by-step explanation:

Slope is rise over run and in this problem our y intercept is 2 because it is defined as the y. Negate your 9 and put it over the y intercept to make into a fraction to represent slope. This makes it y = mx + b form now.

y = - 9/2x + 2

Answer:

70 m and 60 m

Step-by-step explanation:

The formula for the area of a rectangle is length ⋅ width.

The area of the pasture of 4200 meters.

70 ⋅ 60 = 4200.

The formula for the perimeter of a rectangle is side + side + side + side.

The perimeter of the rectangle is 260 meters.

70 + 60 + 70 + 60 = 260.

Therefore, the length and width of this pasture are 70 meters and 60 meters.

Answer:

QUESTION:

which one is it?

ANSWER:

Okay, so everyone knows that a straight angle/ full triangle equals up to the sum of 180°, right?

So you take the 180° and subtract the 51°. And you should be getting 129°.

But, since this is a right triangle all I did was subtract 51° from 90° (a right triangle). In the end, the final answer is 39°

Step-by-step explanation:

Hope that this helps you out! :)          

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Answer:

1. ∠CFD = 28°

2. ∠RPQ = 53°

Step-by-step explanation:

For the first one:

∠CFD and ∠DFE are angles on a straight line

Angles on a straight line add up to equal 180

That being said we can find the missing angle (∠CFD) by subtracting the given angle measure (152°) from 180

so ∠CFD = 180 - 152

180 - 152 = 28

Hence, ∠CFD = 28°

For the second one:

Complementary angles have a sum of 90°

If ∠RPQ and ∠SPR are complementary angles we can find the missing angle ( ∠RPQ in this case ) by subtract the given angle measure ( 37° ) from 90

so ∠RPQ = 90 - 37

90 - 37 = 53

Hence , ∠RPQ = 53°

Answer:

There are thousands of different combinations possible.

Step-by-step explanation:

Answer:

V≈1767.15cm³

Step-by-step explanation:

Using the formulas

V=43πr3

d=2r

solving for v

V=16πd3=16·π·153≈1767.14587cm³

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Answer: 600 sq cm

Step-by-step explanation: Each side is 100 cm^2, and there are a total of 6 sides. 100•6=600.

Hope this helps!

Answer:

SA = 600

Step-by-step explanation:

A cube has six sides.

The formula to find the SA of a cube is 6a^2

6 x 10^2 = 6 x 100 = 600

Answer:

r = 84

Step-by-step explanation:

2pir

2(3)(14)

6(14)

84