Captain Ben has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Umaima and her merciless band of thieves.
If his ship hasn't already been hit, Captain Ben has probability 3/4 of hitting the pirate ship. If his ship has been hit, Captain Ben will always miss.

If her ship hasn't already been hit, dread pirate Umaima has probability 1/2 of hitting the Captain's ship. If her ship has been hit, dread pirate Umaima will always miss.

If the Captain and the pirate each shoot once, and the pirate shoots first, what is the probability that both the pirate and the Captain hit each other's ships?

Answer: n=3, hope this helps! c:

Answer:

x =(7-√-3)/2=(7-i√ 3 )/2= 3.5000-0.8660i

x =(7+√-3)/2=(7+i√ 3 )/2= 3.5000+0.8660i

Step-by-step explanation:

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  x2-7x+13

The first term is,  x2  its coefficient is  1 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  +13

Step-1 : Multiply the coefficient of the first term by the constant   1 • 13 = 13

Step-2 : Find two factors of  13  whose sum equals the coefficient of the middle term, which is   -7 .

     -13    +    -1    =    -14

     -1    +    -13    =    -14

     1    +    13    =    14

     13    +    1    =    14

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step  1  :

 x2 - 7x + 13  = 0

This may be a lot sorry it is confusing if it is wrong i'm so sorry don't come at me wrong please!

Answer:

24cm x 15cm

Step-by-step explanation:

120/5 = 24 cm

as 24 cm x 5 = 120 feet.

We check 75 feet

75/5 = 15 cm

as 15 cm x 5 = 75 feet

So the answer is 24cm x 15cm

Answer:

Step-by-step explanation:

∠ R + ∠T =  90   {R & T are complementary}

3x + 2x = 90

5x = 90

x = 90/5

x = 18

Answer: 97

Step-by-step explanation:

4,074 / 42

hope this helped

Answer:

-14/3

If that isn't right then sorry

Answer: i believe it is short field

Answer:

B. Long Field

Step-by-step explanation:

Answer:

about 317

Step-by-step explanation:

You can break up the pentagon into 5 isoceles triangles

with length of 20√3/3 for the legs. Using the law of Sines are formula, we can see the area of one triangle is the leg * leg * sin(joining angle) /2.

The angle measure between it is 360/5 = 72 degrees.

So we plug it in and we get 317.01 ish.

I hope that helped and i need a brainly mark please :)

The Area of Pentagon is 363.43 mm².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have, Apothem= 10mm

So, Perimeter of Pentagon

= 10 x 7.267

= 72.67 mm

Now, side of pentagon = 72.67/ 5= 14.534 mm

So, Area of Pentagon

= 1/4 √5(5+2√5) a²

= 1/4 √5(5+2√5) (14.534)²

= 363.43 mm²

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Answer:

Option 3

Step-by-step explanation:

log4(x) + log4(x - 3) = log4(-7x + 21)

log4(x² - 3x) = log4(-7x + 21)

x² - 3x = -7x + 21

x² + 4x - 21 = 0

x² + 7x - 3x - 21 = 0

x(x + 7) - 3(x + 7) =0

(x + 7)(x - 3) = 0

x = -7, 3

-7 and 3, both are e extraneous solutions because logs of non-positive numbers don't exist

At x = 3,

-7x + 21 = 0

Answer:

the answer is D

Step-by-step explanation:

i believe it because of the total

The percentage of Mountain View residents polled who supported Olunloyo is 18%.

To find the percentage of Mountain View residents who supported Olunloyo in the survey, we can use the relative frequency table provided. The relative frequency for Olunloyo in Mountain View is 0.18.

To calculate this as a percentage:

Percentage= 0.18*100%= 18%

Therefore, the percentage of Mountain View residents polled who supported Olunloyo is 18%.

So, the correct answer to the question is:

A. 18%.

Answer:

5 pounds

Step-by-step explanation:

The line plot shows that we have 3 kittens with 1/2 pounds, 2 kittens with 1 pound and 1 kitten with 1 1/2 pound.

So, to find the total weight of the kittens in the shelter, we can multiply the number of kittens by their weights, and then sum then all:

Total weight = 3 * (1/2) + 2 * 1 + 1 * (1 + 1/2)

Total weight = 3/2 + 2 + 3/2 = (3 + 4 + 3)/2 = 10/2 = 5 pounds

Answer:

For a quadratic equation, a graph that has one solution will only intersect the x-axis ONE time. This is seen when the vertex of the parabola rests on the x axis.

Answer:

The cost of the pillar is $22,947.12

Step-by-step explanation:

Diameter of the pillar = 6m

Radius = diameter / 2 = 6 / 2 = 3m

Height if the pillar = 7m

Volume of the pillar = πr²h

π = 3.14

V = 3.14 × 3² × 7

V = 3.14 × 9 × 7

V = 197.82m³

Volume of the pillar is 197.82m³

If 1m³ = $116

197.82m³ will cost $x

X = (197.82 × 116) / 1

X = $22,947.12

The cost of the pillar is $22,947.12

Answer:

Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The height of the boulder, h,  in feet after t seconds is given by the function is given by :

[tex]h=-16t^2+120t+10[/tex] .....(1)

For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

i.e.

[tex]\dfrac{d(-16t^2+120t+10)}{dt}=0\\\\-32t+120=0\\\\32t=120\\\\t=3.75\ s[/tex]

Put t = 3.75 in equation (1). So,

[tex]h=-16(3.75)^2+120(3.75)+10\\\\h=235\ \text{feet}[/tex]

So, the boulder's maximum height is 235 feets and it takes 3.75 s to reach to its maximum height.

Answer:

16

Step-by-step explanation:

4^5/4^3

4^5-3

4^2

16

Hope this helps :)

Answer:

7

Step-by-step explanation:

It just is

Answer:

£1690

Step-by-step explanation:

Amount invested by Brian = £1300

rate of simple interest = 10%

To find money Brian will have after three years

He will have amount invested in bank and interest earned in three years from that amount.

Simple interest for any principal amount p is given by

SI = P*R * T /100

where SI  is simple interest earned

T is time period for which simple interest is earned

R is rate of interest

Substituting value of P , R and T we have

SI = 1300*10* 3 /100 = 390

Therefor interest earned will be £390

Total money with Brian after three years = principal amount invested + interest earned in 3 years

= £1300 + £390 = £1690

Answer: 90 degrees

Step-by-step explanation:

The angle of rotation is 90° clockwise rotation

The coordinates are given as:

A(-2, -2) to A'(-2, 2)

Remove the points

(-2, -2) to (-2, 2)

Replace the coordinates with x and y

(x, y) to (y, -x)

The above represents a 90° clockwise rotation

Hence, the angle of rotation is 90° clockwise rotation

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Answer:

5y = 2

Step-by-step explanation:

To solve this equation, you have to simplify both sides of the equation, and arrange the terms so that all the values with a variable are on one side, and all the values without a variable are on the other side:

8y + 4 = 6 + 2y + 1y

8y + 4 = 6 + 3y

8y - 3y = 6 - 4

5y = 2

Answer:

C y=1/2cos(x)-2

I'm not sure if it is right

My head hurts so its hard for me to concentrate

The vertex of a parabola is written as (h,k) so h = 5 and k = -3.

H is subtracted from x inside parentheses and k is added at the end of the equation.

The equation is also written as y =

The answer should be D.

Answer c also works, so there are two correct answers.

Answer:

A. 6

Step-by-step explanation:

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

[tex]3^{2}[/tex]+[tex]5^{2}[/tex]=[tex]c^{2}[/tex]

[tex]3^{2}[/tex]=9

[tex]5^{2}[/tex]=25

25+9=34

[tex]\sqrt{34}[/tex]= 5.83

Round it and its 6

q=8

soo

7(8)=64

64 is the final answer.

Answer:

4.8

Step-by-step explanation:

Angle 6 and angle 8 are corresponding angles, because they are in the same position, but on different parallel lines. Corresponding angles are congruent. So, if the measure of angle 8 is 119 degrees, then the measure of angle 6 is 119 degrees.

Hope this helps! :)

Answer:

(a)1/3

(b)2/3

Step-by-step explanation:

This is a 6-sided number cube, therefore total possible outcomes, n(S)=6

(a)Probability of rolling a 2 OR 3 =P(2)+P(3)

[tex]=\dfrac{1}{6} +\dfrac{1}{6} =\dfrac{2}{6}\\= \dfrac{1}{3}[/tex]

(b)Probability of not rolling a 2 OR 3

In probability, the sum of the probability of an event and its complement is always 1.

Therefore:

P(Rolling a 2 or 3)+P(Not rolling a 2 or 3)=1

From part (a) above:

Probability of rolling a 2 OR 3=[tex]\dfrac{1}{3}[/tex]

Therefore:

[tex]\dfrac{1}{3}+$P(Not rolling a 2 or 3)=1\\P(Not rolling a 2 or 3)=1-\dfrac{1}{3}=\dfrac{2}{3}[/tex]

Without the exact height of the Leaning Tower of Pisa, we cannot find the specific degree of tilt. However, given the height is approximately 183.27 ft, we can use the tangent function to roughly find that the tilt is near 4.22 degrees.

The question involves the concept of trigonometry, specifically the tangent function, to calculate the angle of tilt of the Leaning Tower of Pisa. Assuming the tower forms a right triangle with the ground, we can utilize tangent, which is the ratio of the opposite side (the horizontal shift) to the adjacent side (the height of the tower) to determine the angle of tilt. Thus, the angle of tilt θ is calculated as θ = tan⁻¹(13.5/height). Unfortunately, without the exact height of the tower, we cannot give a specific degree of tilt.

However, the actual height of the tower is roughly 183.27 ft. Substituting that value into the equation gives θ = tan⁻¹(13.5/183.27), which approximates to around 4.22 degrees when calculated.

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Using trigonometry and taking into account the horizontal shift and height of the Leaning Tower of Pisa, we found that it tilts around 4 degrees from vertical. The procedure entails determining the tangent of the tilt angle and using the arctan function to calculate the angle in degrees.

The problem involves finding the tilt angle of the Leaning Tower of Pisa given its horizontal displacement. We will consider the height of the tower, which is approximately 55 meters (about 180.45 feet).

We can use trigonometry, specifically the tangent function, tan(θ) = opposite/adjacent, to find the angle of tilt. Here, the 'opposite' side is the horizontal shift (13.5 feet) and the 'adjacent' side is the height of the tower (180.45 feet).

Identify the opposite and adjacent sides:

Use the tan function to find the angle:

Calculate the tangent value:

Find the angle θ using the arctan function:

Round to the nearest degree:

Therefore, the Leaning Tower of Pisa tilts approximately 4 degrees from vertical.

The parabola y= ax² opens to the left.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

We have the parabolic equation: y= ax²

1. If 'a' is positive, the parabola will open to the right or upwards.

2. If "a" is negative, the parabola opens to the left or downward.

3. The parabola expands either upwards or downwards if x is squared.

4. The parabola opens to the left or right if y is squared.

Now, as we are given the parabola having x² and 'a' is negative.

Thus, from the points 4 and 2, we get,

The given parabola opens to the left.

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Answer:

cos^-1(12/13) = x

Step-by-step explanation:

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