Helpppp asap pleasee

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Answer 1

Answer:

Answer:

I think 1 is the right answer

Step-by-step explanation:

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Please I need help it’s an emergency

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Answer:

h = 79 m

Step-by-step explanation:

The length of the string, H = 125 m

The kite forms 39° angle.

We need to find the height of the kite. Let it is h. We can find it using trigonometry i.e.

$\sin\theta=(P)/(H)$

Where

P is perpendicular and H is Hypotenuse

So,

$\sin\theta=(h)/(H)\n\nh=H* \sin\theta\n\nh=125* \sin(39)\n\nh=78.66\ m$

h = 79 m

So, the kite is flying at a height of 79 m.

The speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth. About how many seconds does it take light to travel from Sirius to Earth? Write your answer in scientific notation, rounded to the nearest hundredth.

Answers

The number of seconds it takes light to travel from Sirius to Earth is $2.72*10^(8)$ .

Given that, the speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth.

We need to find out how many seconds it takes light to travel from Sirius to Earth.

What is scientific notation?

To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.

If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.
If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.

Let the number of seconds it takes light to travel from Sirius to Earth be n seconds

Now, the proportion= $(1.86*10^(5))/(1) =(5.062*10^(13))/(n)$

⇒ $n=(5.062*10^(13))/(1.86*10^(5))$

⇒ $n=2.72*10^(13-5)=2.72*10^(8)$

Therefore, the number of seconds it takes light to travel from Sirius to Earth is $2.72*10^(8)$ .

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Answer:

2.72 × 10^8 seconds

Step-by-step explanation:

1. Organize the given information to help you create the equation:

- Light travels 1.86 × 10^5 miles per 1 second

- Light travels 5.062 × 10^13 miles per n seconds

- Need to solve for n

2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):

$(1.86 * 10^5)/(1)$ = $(5.062 * 10^1^3)/(n)$

3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)

n × (1.86 × 10^5) = 5.062 × 10^13

4. Solve for n by isolating the variable and dividing.

$(n (1.86 * 10^5))/(1.86 * 10^5)$ = $(5.062 * 10^1^3)/(1.86 * 10^5)$

n = $(5.062 * 10^1^3)/(1.86 * 10^5)$

n = 2.72 × 10^8 (Make sure to include the unit, seconds)

candy box is made from a piece of cardboard that measures 45 by 24 inches. Squares of equal size will be cut out of each comer. The sides will then be folded up to form a rectangular box. What size square should be cut from each corner to obtain maximum volume? inches should be cut away from each corner to obtain the maximum volume. A square with a side of length (Round to the nearest hundredth as needed.)

Answers

Answer:

Each square should have 5 inches of side and area = 25 square inches.

Step-by-step explanation:

Candy box is made that measures 45 by 24 inches.

Let the squares of equal size x inches has been cut out of each corner.

The sides will then be folded up to form a rectangular box.

Now we have to find the size of square that should be cut from each corner to obtain maximum volume of the box.

Now the box is with length = (45 - 2x) inches

and width = (24 - 2x) inches

and height = x inches

Volume of the candy box = Length × width × height

V = (45 - 2x)(24 - 2x)(x)

V = x(1080 - 48x -90x + 4x²)

= x(1080 - 138x + 4x²)

= 4x³ - 138x² + 1080x

Now we will find the derivative of volume and equate it to zero.

$(dV)/(dx)=12x^(2)-276x+1080=0$

12(x² - 23x + 90) = 0

x² - 23x + 90 = 0

x² - 18x - 5x + 90 = 0

x(x - 18) - 5(x - 18) = 0

(x - 5)(x - 18)=0

x = 5, 18

Now for x = 18 Width of the box will be = (24 - 2×18) = 24 - 36 = -12

Which is not possible.

Therefore, x = 5 will be the possible value.

Therefore, square having area 25 square inches should be cut out from each corner to get the maximum volume of candy box.

Final answer:

The size of the square that should be cut away from each corner to obtain the maximum volume for a box made from a cardboard measuring 45 by 24 inches is 3 inches.

Explanation:

To find the size of the square that should be cut from each corner to obtain the maximum volume, we should first make an equation for the volume of the box. If x is the length of the side of the square, then the dimensions of the box are (45-2x) by (24-2x) by x, thus the volume of the box V is (45-2x)(24-2x)x.

By using calculus, we can find the derivative of this function, set it to zero and solve, this will give the critical points where the maximum and minimum volumes will be.

The derivative is found to be -4x^2 + 138x - 1080. Setting this to zero and solving, we find that x = 3 and x = 90 are the critical points for the maximum and minimum volumes. Since we cannot cut corners more than 24 inches (this would make the width negative), x = 3 inches is the only feasible solution.

So, 3 inches should be cut away from each corner to obtain the maximum volume.

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In a sample of 41 water specimens taken from a construction site, 23 contained detectable levels of lead. A 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is 0.409

Required:
Construct a confidence interval for the proportion of water specimens that contain detectable levels of lead.

Answers

Answer:

drippy pen iss

Step-by-step explanation:

Helen rolls a dice and flips a coin.Calculate the probability that she gets a 4 and a tail.

Answers

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

Multiply them

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

1/6 x 1/2 = 1/12

A bag contains 10 marbles. Four of them are red, three blue, two white and one yellow. A marble is drawn at random. What is the probability it is not blue?

Answers

Probability =
(number of different successful results) / (number of all possible results) .

Number of marbles that are not blue = 7
Number of marbles in the bag = 10
Probability that one marble drawn at random is not blue = 7/10 = 70% .

For all probability questions of this type, the probability can be found as:
$P_(desired)=(desired)/(total)$

or, more simply:
$P_(x)=(n_(x))/(n_total)$

In this case:
$P_(notblue)=(notblue)/(total)$
$P_(notblue)=(red+white+yellow)/(red+blue+white+yellow)$
$P_(notblue)=(4+2+1)/(4+3+2+1)$
$P_(notblue)=(7)/(10) = 70\%$

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