What is the volume of this sphere?
12pi cm^3
36pi cm^3
288pi cm^3
864pi cm^3

The other measurement of the golden rectangle is approximately 9.1 inches.

A golden rectangle is defined by the property that the ratio of its length to its width is equal to the golden ratio, which is approximately 1.61803398875. This ratio is often denoted by the Greek letter phi (φ).

Given that one measurement of the golden rectangle is 5.7 inches, we can denote this as the width, w. To find the length, l, we use the golden ratio formula:

[tex]\[ l = w \times \phi \][/tex]

Substituting the given width and the value of φ:

[tex]\[ l = 5.7 \text{ inches} \times 1.61803398875 \][/tex]

[tex]\[ l \approx 9.1 \text{ inches} \][/tex]

Therefore, the other measurement of the golden rectangle, which is the length, is approximately 9.1 inches.

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The number 3.636408 to the nearest ten-thousandth will be 3.636.

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

The given decimal number 3.636408 can be written to the nearest ten-thousandth with the help of a number line. The two of the closest number to 3.636408 are 3.636 and 3.637.

Now, as it can be observed that the distance between 3.636408 and 3.636 is less than 3.636408 and 3.637.

Therefore, the number 3.636408 to the nearest ten-thousandth will be 3.636.

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Answer:

31,680 feet

Step-by-step explanation

5280*6

Answer: 31, 680 feet

Step-by-step explanation:

If 5280 feet = 1mile

x = 6 miles

Step 1: cross multiply the equation to the the value of x

x= 5280 × 6

=31,680 feet

Answer:

The correct answer is first option

(t + p, r)

Step-by-step explanation:

Points to remember

midpoint formula

Length of a line segment with endpoints (x1, y1) and (x2, y2) is given by,

Midpoint= [(x2 + x1)/2 , (y2 + y1)/2]

To find the midpoint of EC

Let   (x1, y1) = E(2t, 0) and  (x2, y2) = C(2p, 2r)

Midpoint = [(2t + 2p)/2 , (0 + 2r)/2]

= (2(t + p)/2 , 2r/2)

= (t + p, r)

Therefore midpoint of EC = (t + p, r)

The correct answer is first option

1. For every extra copy, Ivanna sells she gets an additional 120 dollars (+$120) and for every less copy she loses $120 dollars (-$120).

2. Ivanna's total pay is $2,400 if she doesn't sell any copies of History is Fun.

Step-by-step explanation:

Step 1:

y = 2,400 + 120x, where y is Ivanna's total pay and x is the number of copies of history is fun she sells.

To calculate the change is Ivanna's pay we find the difference in pay for two consecutive values of y.

We must calculate y when x is of consecutive values i.e. 1, 2, 3, 4 ...

Step 2:

We calculate the value of y when x = 1, 2 and 3.

When x = 1, y = 2,400 + 120 (1) = 2,400 + 120 = $2,520.

When x = 2, y = 2,400 + 120 (2) = 2,400 + 240 = $2,640.

When x = 3, y = 2,400 + 120 (3) = 2,400 + 360 = $2,760.

Step 3:

To calculate the increase in her pay for a copy, we subtract y when x = 2 from y when x = 3.

(y when x = 3) - (y when x = 2) = $2,760 - $2,640 = $120.

So for every extra copy, Ivanna gets an extra $120.

To calculate the decrease in her pay for a copy, we subtract y when x = 3 from y when x = 2.

(y when x = 2) - (y when x = 3) = $2,640 - $2,760 = -$120.

So for every less copy, Ivanna loses $120.

Step 4:

To calculate her pay when she doesn't sell any copies of history is fun, we substitute the value of x as 0 in y.

When x = 0, y = 2,400 + 120 (0) = $2,400.

So Ivanna earns $2,400 if she doesn't sell any copies of history is fun.

Answer: Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.

Answer:

is that a yes

???????????????????????????????????????????????????????????????

Answer w/ explanation:

The answer is 9.1

To round to 2 significant figures, we have to find the first significant figure. We find the first sig fig by looking for the first nonzero digit in the number (it can be before or after the decimal point), which is "9"

The next digit is "0". This will also be a significant figure in our answer.

It may seem we are done now since we found the two significant figures. However, let's look at the digit after "0" to see if we need to round up or down.

The digit after "0" is "7". Since 7 is greater than 5, we round up the "0" to a "1" in our final answer, making the answer 9.1

Side note:

The definition and concept of significant figures can be very confusing overall, so please continue to ask questions if you are still struggling with them.

Let me know if you need any clarifications, thanks!

~ Padoru

A number 9.0758 to 2 significant figures is, 9.1

We have to give that,

A number is,

⇒ 9.0758

Since There are 5 significant numbers.

Hence, A number 9.0758 to 2 significant figures is,

⇒ 9.0758

Since 7 is greater than 5.

Hence,

9.0758 ≈ 9.1

So, The solution is, 9.1

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Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

First question -> y = 2

Second question -> y = 10

Step-by-step explanation:

Step 1:  Solve y + 2 = 4

Subtract 2 from both sides

y + 2 - 2 = 4 - 2

y = 2

Step 2:  Solve y - 2 = 8

Add 2 to both sides

y - 2 + 2 = 8 + 2

y = 10

Answer:  First question -> y = 2

               Second question -> y = 10

Since the ratio of girls and boys must be the same in each team, and all the competitors must be involved, it means that each team's ratio of boys : girls must be equal to the total ratio of Boys : Girls = 36 :27= 4 / 3.

Now 4 / 3, the most simplified version of 36 / 27, happens by dividing the numerator & demoninator by 9 (the greatest number it can divide by). So the greatest number will be 9 teams, each of  4 Boys & 3 Girls

Answer:

4 Boys & 3 Girls

Step-by-step explanation:

Melissa's family can afford 6 days of vacation.

Reason:

You need to divide the budget by the money they spend everyday.

$750 ÷ $125 = 6 days that the family can afford to pay for vacation.

Hope this helps you!

Answer:

Step-by-step explanation:

B

for a square diagonal is found by using pythagoras theorem.

(30)²+30²=900+900=1800≠45²

The best describes the shape of the baseball field would be; B Not square (30)² + 30² ≠45².

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Giselle is building a small baseball infield for her brother.

The infield should be in the shape of a square.

Each side of the infield, between bases, measures 30 feet.

The distance between home plate and second base, as shown in the picture, is 45 feet.

A square diagonal can be calculated by using the Pythagoras theorem.

|AC|^2 = |AB|^2 + |BC|^2    

= (30)² + 30²

= 900 + 900

= 1800

≠45²

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Answer:

B

Step-by-step explanation:

Let’s review our area formulas first:

Area of rectangle: l*w

Area of quarter circle:(pi*r^2)/4

Area of triangle:(b*h)/2

What we need to do is find the areas of these individual figures and add them up to find the area of the total figure WHEn CALCUlATING AReA Be SURE TO OnLY LOOK AT THE OnE figure and ignore all other shapes!

So

Rectangle=11.1(length)*21.1(width)

Rectangle=234.21

Quarter circle=(pi*(21.1)^2)/4

Quarter circle= 349.667116326

Triangle:(9.1*21.1)/2

Triangle=96.005

So

96.005+234.21+ 349.667116326=679.8821(round up to 680)

Hope this helps!

A total of 90 bricks were laid that day.

Step-by-step explanation:

Given,

Number of bricks laid in one hour = 27

This represents 30% of total bricks laid that day.

Let,

x be the total number of bricks laid that day.

30% of x = 27

[tex]\frac{30}{100}*x=27\\0.3x=27[/tex]

Dividing both sides by 0.3

[tex]\frac{0.3x}{0.3}=\frac{27}{0.3}\\x=90[/tex]

A total of 90 bricks were laid that day.

Answer:

Step-by-step explanation:

NIPO

Answer:

3485.63 pounds

Step-by-step explanation:

For cone shaped sand:

Height (h) = 3.5 ft

Diameter (d) = 6.5 ft

Therefore, radius (r) = 6.5/2= 3.25 ft

[tex]volume \: of \: sand \\ = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \times \frac{22}{7} \times {(3.25)}^{2} \times 3.5\\ \\ = \frac{1}{3} \times 22 \times 10.5625 \times 0.5\\ \\ = \frac{1}{3} \times 11 \times 10.5625 \\ \\ = \frac{1}{3} \times 116.1875 \\ \\ = 38.7291667 \: {ft}^{3} \\ \\ \because \: 1 \: {ft}^{3} = 90 \: pounds \\ \\ \therefore \: 38.7291667 \: {ft}^{3} \\ = 38.7291667 \times 90 \ \\ = 3,485.625 \: pound \\ \approx \: 3485.63 \: pounds[/tex]

Hence, weight of sand is 3485.63 pounds.

x + y = 9

x = 9 - y

2x - y = 0

2(9 - y) - y = 0

18 - 2y - y = 0

-3y = -18

y = 6

x = 9 - y

x = 9 - 6

x = 3

The value of x and y are 3 and 3 respectively in the given system of equations.

A system of equations is a set of two or further equations that own an identical set of unknowns. The thing of solving a system of equations is to determine the values for the unknowns that quench all of the equations in the system.

It is given that the system of equations is,

2x - y = 0

x + y = 9

Now, from the first equation, we get

y = 2x

On putting the above value of y in the second equation, we get

x + 2x = 9,

3x = 9,

x = [tex]\frac{9}{3}[/tex]

x = 3.

Now putting this value of x in the first equation, we get

2 [tex]\times[/tex] 3 + y = 9

6 + y = 9

y = 9 - 6

y = 3.

So, x = 3 and y = 3 in the above system of equations.

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Answer:

6,919,320

Step-by-step explanation:

20056 * 345

6919320

Answer:  6,919,320

Answer:

6,919,320.00

Step-by-step explanation:

Answer:

(-1, 5)

Step-by-step explanation:

When f(x) = f(-1)

f(-1) = -2(-1) + 3

f(-1) = 2 + 3

f(-1) = 5

-1 is x

5 is y

(-1, 5)

Answer:  (-1, 5)

Answer:

(-1,5)

Step-by-step explanation:

x=-1 then

f(-1)=-2*(-1)+3=2+3=5

Answer:

24 cups

Step-by-step explanation:

Peaches to Cherries is given as 2 to 3

We can think of this as "parts". So total parts in the salad would be:

Total Part = 2 + 3 = 5 parts

So, now we need cups of peaches to cups of TOTAL

The ratio would be:

2 : 5

The total would be 60 cups

We let total cup of peaches be x

So we can write the ratio:

[tex]\frac{2}{5}=\frac{x}{60}[/tex]

Now, we cross multiply and solve for x:

[tex]\frac{2}{5}=\frac{x}{60}\\5x=2*60\\5x=120\\x=24[/tex]

Fred will need 24 cups of peaches

Answer:

6%

Step-by-step explanation:

.02 times 30

.6=6%

Answer:

Step-by-step explanation:

41%

(a) P(X = 3) ≈ 0.2687

(b) P(X ≥ 4) ≈ 0.9852

(c) P(X < 8) ≈ 0.9998

These probabilities were calculated using the binomial probability formula for a 41% favorability rate and 12 trials.

To find the probability in this scenario, we can use the binomial probability formula. Let's break down each part of the question:

(a) To find the probability that exactly three out of twelve U.S. adults favor the use of unmanned drones, we can use the binomial probability formula:

P(X = k) = (n choose k) ×[tex]p^k[/tex] ×[tex](1-p)^(n-k)[/tex]

Where:

n is the number of trials (12 in this case).

k is the specific number of successes we're interested in (3 in this case).

p is the probability of success (41% or 0.41 in decimal form).

P(X = 3) = (12 choose 3) × [tex](0.41^3)[/tex] × [tex](0.59^9)[/tex]

Calculate this using a binomial calculator or software to find the exact probability.

(b) To find the probability that at least four out of twelve U.S. adults favor the use of drones, we need to calculate the complementary probability of having fewer than four favoring drones and subtract it from 1:

P(X ≥ 4) = 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)]

(c) To find the probability that less than eight out of twelve U.S. adults favor the use of drones, calculate:

P(X < 8) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 7)

You can compute these probabilities using a binomial calculator or statistical software to get the precise answers.

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Answer:

14

Step-by-step explanation:

%40 * 35 is same as 0.4 * 35

14

Answer:  14

Answer:

14

Step-by-step explanation:

Answer:

It's C I just did it

Step-by-step explanation:

The degree of the sum and difference of the polynomials are 6 and 7 respectively.

The degree of the sum and difference of the polynomials.

3x⁵y - 2x³y⁴ - 7xy³ and -8x⁵y + 2x³y⁴ + xy³

The degree of sum = monomial with the highest power = 5 + 1 = 6

The degree of difference = monomial with the highest power = 3 + 4 = 7

Therefore, the degree of the sum and difference of the polynomials are 6 and 7 respectively.

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Answer:

x + (11) + (-14)  [x being temperature when Iko woke up]

Step-by-step explanation:

Let the temperature be "x" when Iko woke up

Then,

Temperature ROSE 11° in lunch

The temp in lunch was:  x + 11

Then the temperature DROPPED 14° when he went to bed, relative to lunch temperature, so we can say:

(x + 11) - 14

So, the final temperature that end of day was:

x + 11 - 14

As addition expression, it will be:

x + (11) + (-14)

Answer:

0.021g

Step-by-step explanation:

Answer:

3!!!!!!!!!!

Step-by-step explanation:

Please just believe me

Answer:

[tex]\frac{2y^{3} }{x^{4}z^{2} }[/tex]

Step-by-step explanation:

Simplify the expression until you get the given answer.

Hopefully this helps you out~

Answer:

v = 8

Step-by-step explanation:

-v -7-3 = -26+v

2v = -10+26

2v = 16

v = 8