7. Jack has a piece of string that is 48 in long. He divided it into 4 equal pieces of 1 foot each. What is the length of each piece of string?​

The area of the sector that has a central angle of 120 degrees and radius of 8 units is 64π / 3 units²

The area of a sector is defined as follows:

area = ∅ / 360 × πr²

where

Therefore,

r = 8

∅ = 120°

Hence,

area of the sector = 120 / 360 × π × 8²

area of the sector = 1 / 3 × π × 64

area of the sector = 64π / 3 units²

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Answer:

C

Step-by-step

The amount of the annual withdrawals will be $16,574.24.

The given data in the problem is;

P = annual payment

PV= present value = $150,261

r= rate of intreast = 9.1% =9.1/100= 0.091

n = time period= 20

[tex]P=\frac{r\times PV}{1-(1+r)^{-n}}[/tex]

[tex]P=\frac{0.091\times 150261}{1-(1+0.091)^{-20}}[/tex]

[tex]P=16754.24[/tex]

Therefore, the amount of the annual withdrawals will be $16,574.24.

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Answer: E, A

Step-by-step explanation:

Step-by-step explanation:

1,186,200,000,000 in standard form

Answer:

80 grams

Step-by-step explanation:

since butter & flour are in the ratio 2:3

2/5 = 640

then 3/5 = flour(?)

eliminate 5 since it is common so that

2= 640

3= x

cross multiply

x= 3 /2× 640

= 960

640 grams of butter needs to mix with 960grams of flour so that they can be in the ratio of 2:3

960-880 = 80

hence 80 more grams of flour are needed.

Check the picture below.

keeping in mind that the difference of the distances of d1 and d2 is always a consistent constant value, as you can see in the left-hand-side of the picture, if we keep on sliding on the hyperbolic line shrinking d2 from being slanted to be horizontal, once we put d1 and d2 on a horizontal line, as you see on the right-hand-side, if we subtract the pink line from the orange line, what's leftover is, yeap, you guessed it.

Answer:

No, not all of them are correct.

Step-by-step explanation:

The first one that u picked is incorrect. The second one is correct. And so it the third. I'm not so sure about the last one but pls MARK BRAINLIEST IF IT IS CORRECT

Answer:

78.5

Step-by-step explanation:

The probability of scoring 1 , 3 or 5 points is 78.5% ( optionD)

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 and it's 100% in percentage.

probability is expressed as;

probably = sample space/total outcome

The area of the square is expressed as;

A = l²

= 20 × 20

= 400cm²

The area of the biggest circle is 314 cm²

The probability of scoring 1, 3 or 5

= 314/400 = 0.785

in percentage = 0.785 × 100

= 78.5%

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#SPJ3

How far both planes travelled is an illustration of distance

Both planes are 510 km apart at 2 pm

The rates of the two planes are given as:

Plane A = 300km/h

Plane B = 45km/h

Calculate the difference (r) in their rates

r = 300km/h - 45km/h

This gives

r = 255km/h

At 2 pm, both planes have travelled for 2 hours.

So, the distance between them is:

d = 255 * 2

d = 510km

Hence, both planes are 510 km apart at 2 pm

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Answer:

58 1/3 in³

Step-by-step explanation:

Volume of a square pyramid:

V = (1/3)a^2h (don't need the lateral lenght)

Answer:

The length of river D is 2550

length of river C is 2550+500=3050

Step-by-step explanation:

Let the river D be 'x'

and the river C is (x+500)

x + x + 500 = 5600

2x + 500 = 5600

2x = 5600 - 500

2x = 5100

x = 5100/2

x = 2550

The length of river D is 2550

length of river C is 2550+500=3050

The worth of the collectible car in five years if its value is going up by 10% every year would be $46,704.79

If the value of the  collectible car is increasing with time, it is said that the  collectible car is appreciating in value.

The formula for calculating future value with appreciation:

FV = P (1 + r)^n

$29,000(1.1^5) = $46,704.79

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Answer:

B: 3x + 7 - 7 = 16 - 7

Step-by-step explanation:

B: 3x + 7 - 7 = 16 - 7

Answer:

[tex]\boxed{\sf{B. \quad3x + 7 - 7 = 16 - 7}}[/tex]

[tex]\boxed{\sf{x=3}}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

First, subtract by 7 from both sides.

⇒ 3x+7-7=16-7

Solve.

⇒ 16-7=9

Rewrite the problem down.

⇒ 3x=9

Divide by 3 from both sides.

⇒ 3x/3=9/3

Solve.

Divide the numbers from left to right.

⇒ 9/3=3

⇒ x=3

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

2/6 = 1/3

8/1 = 8

2/4 = 4/8

2/8 = 1/4

4/4 = 1

Step-by-step explanation:

2/2 = 1 and 6/2 = 3 so that would make the equivalent fraction 1/3

for 8/1 it is the same as just 8

2*2 = 4 and 4*2 = 8 so that would make the equivalent fraction 4/8

the same goes for 2/8 which is 1/4

and 4/4 is just 1  

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

2/6=1/3

8/1=8

2/4=4/8

2/8=1/4

4/4=1

The pH is the measure of hydrogen ion concentration in a solution. The hydrogen ion concentration at pH 1.25 is  [tex]5\times 10^{-2}\ M[/tex].

The pH is the negative logarithmic value of the hydrogen ion concentration in the sample.

The pH can be expressed as:

[tex]\rm pH=-Log[H^+][/tex]

The hydrogen ion concentration can be given as:

[tex]\rm [H^+]=10^{-pH}[/tex]

The given pH is 1.25 The hydrogen ion concentration is given as:

[tex]H^+=10^{-1.25}\\H^+=0.05\ M\\h^+=5\times10^{-2}\ m[/tex]

The hydrogen ion concentration in the solution is .[tex]5\times 10^{-2}\ M[/tex]

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Answer:

1st blank is 5.62

2nd blank is -2

Step-by-step explanation:

Look at the image (top right corner)

Answer:

The total of the prices of all of the baby shirts and sweaters that the store sold during the sale was $420.00. It's possible that 12 sweaters and 8 shirts are sold a bargen

Step-by-step explanation:

16

lcm : 4= 4, 8, 12 , 16

8= 8 , 16

Answer:

9

Step-by-step explanation:

Horizontal line from 4 to -5.

Distance formula is: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

       [tex](x_{1},y_{1}) = (4,7)\\(x_{2},y_{2}) = (-5,7)[/tex]

Thus let us plug in all the know values and solve:

      [tex]\sqrt{(-5-4)^2+(7-7)^2} =\sqrt{(-9)^2} =\sqrt{81} = 9[/tex]

Thus the distance is 9

Hope that helps!

Using simple interest, it is found that the prices are as follows:

A. $10,200.

B. $12,614.58.

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

Item a:

$850 for 12 months, hence the yearly cost is:

P = 850 x 12 = $10,200.

Item b:

The total cost is found using simple interest with A(0) = 175000, t = 30, r = 0.03875, hence:

A(t) = A(0)(1 + rt)

A(30) = 175000[1 + 0.03875(30)]

A(30) = 378437.5.

The yearly cost is given by:

378437.5/30 = $12,614.58.

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Answer:

#6=perimeter=32 area=55

#7=perimeter=66 area=242

#8=perimeter=94  area=550

Step-by-step explanation:

5+5+11+11=32

5x11=55

22+22+11+11=66

22x11=242

22+22+25+25=94

22x25=550

The integers between square root of 8 and square root 113 are the numbers without decimal points

The sum is 52

The square root of 8 is 2.82

The square root of 113 is 10.63

The integers between 2.82 and 10.63 are:

3, 4, 5, 6, 7, 8, 9 and 10

The sum of these integers is represented as:

Sum = 3 + 4+ 5+ 6+ 7+ 8+ 9 + 10

Evaluate the sum

Sum = 52

Hence, the sum is 52

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Answer:

set of numbers that cannot be represented in form of a/b

examples square root of 2, 3, 5 and 6

Answer:

28 degrees

Step-by-step explanation:

A triangle is 180 degrees. 180-152=28.

Answer:

The third angle is 28 degrees

Step-by-step explanation:

A triangle has to add up to 180 degrees so just take 180 subtract your 152 from it and you'll have your answer!. (180 - 152 = 28) Hope this helps! :)

Now

Equation in slope intercept form

If each GB be x

Here

Option A is correct

Answer:  a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = ² = 16

The square of any number is always a positive number, so every number has two square roots, one of a positive value, and one of a negative value. For example, both 2 and -2 are square roots of 4.

Answer:

[tex]\fbox{Gradient of curve = -6}[/tex]

Step by step explanation:

Given:

Equation of curve ↦ xy = 6

Point ↦(1,6)

To find:

The gradient of curve = ?

Solution:

[tex]Using \: the \: equation, \\ xy = 6 \\ [/tex]

Taking log both the side,

[tex]log(xy) = log(6) \\ log(x) + log(y) = log(6) \\ Taking \: derivative \: both \: the \: side \\ \frac{1}{x} + \frac{1}{y} \cdot\frac{dy}{dx} = \: 0 \\ (Derivative \: of \: any \: constant =0) \\ \frac{1}{y} \cdot\frac{dy}{dx} = - \frac{1}{x} \\ \frac{dy}{dx} = - \frac{y}{x} \\ To \: find \: gradient \: at \: point (1,6) \\ \frac{dy}{dx} \mid_{(1,6)} = \frac{ - 6}{1} \\ \frac{dy}{dx} \mid_{(1,6)} = - 6 \\ \fbox{Gradient of curve = -6}[/tex]

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Answer:

[tex]x=\pm\frac{1}{2}[/tex]

Step-by-step explanation:

On a unit circle, [tex](x,y)=(\cos\theta,\sin\theta)[/tex], so [tex]\sin\theta=\frac{\sqrt{3}}{2}[/tex] in this case. If you look at the attached circle, the only time that the y-coordinate is [tex]\frac{\sqrt{3}}{2}[/tex] is when [tex]x=-\frac{1}{2}[/tex] and [tex]x=\frac{1}{2}[/tex], which correspond to angles of [tex]\theta=\frac{2\pi}{3}[/tex] and [tex]\theta=\frac{\pi}{3}[/tex] respectively

Using the dot plot, the inference is that the number of flocks observed on the second day was less than in the first.

The dot plot shows the number of times each measure appears in the data-set.

Hence, the mean of the data-set corresponding to day 1 is given by:

M1 = (4 x 4 + 7 x 5 + 7 x 6 + 7 x 7)/25 = 5.68

And the mean of the data-set corresponding to day 2 is given by:

M2 = (2 x 8 + 3 x 7 + 4 x 6 + 5 x 4)/25 = 3.24.

M1 > M2, hence, the inference is that the number of flocks observed on the second day was less than in the first.

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Answer:

like fractions have the same denominator. So A is correct