If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?

Answer:

Step-by-step explanation:

A and B are same side interior angles and hence supplementary:

Substitute values and solve for x:

Find the measure of ∠A:

Answer: $21000

Step-by-step explanation:

First, we calculate the contribution margin which will be:

=Sales - Variable cost

= $50,000 - $20,000

= $30,000

Therefore, the contribution margin per unit will then be:

= $30,000 / 12500

= $2.4 per unit

The operating income will be the difference between the total contribution margin and the fixed cost. This will be:

The total Contribution margin will be:

= $2.4 × 15000

= $36000

Fixed costs = $15000

Operating income = $36000 - $15000

= $21,000

Answer:

10 lbs

Step-by-step explanation:

7 qts x 5 qts  = 35 qts broth

2 lbs x 5 lbs = 10 lbs barley

Answer:

Area: 79.25

Perimeter:33.7

Answer:

$89.26

Step-by-step explanation:

Before Tax Price: $84.21

Sale Tax: 6.00% or $5.05

After Tax Price: $89.26

Answer:

23y

Step-by-step explanation:

3y² + 14y

9y + 14y

23y

Answer: (3y+2)(y+4)

Step-by-step explanation:

3y^2 +14y

This question would factor to:

(3y+2)(y+4)

Answer:

3 root 2, a

Step-by-step explanation:

goodluck on your test

Answer:

26

Step-by-step explanation:

Just put n = 5 and substitute

Then a5 = a4 + 4 = a3 + 8 = a2 + 12 = a1 + 16 = 26

Answer:

b

Step-by-step explanation:

11+11+10+10=42cm

The headline was off by 5 percentage points.

What is percentage ?

Percentage is a way of expressing a fraction or ratio as a number out of 100. It is a common way of measuring quantities or values that are relative to a whole. For example, if there are 100 students in a class, and 75 of them passed an exam, we can say that the pass rate is 75%, which means that 75 out of 100 students passed the exam.

To calculate a percentage, we can use the formula:

Percentage = (Part / Whole) x 100%

According to the question:
If the actual percentage of students who purchased books for class was different from the reported percentage of 95%, we can find the difference between the two percentages to determine how many percentage points the headline was off.

Let's say the actual percentage of students who purchased books for class was x%. Then the difference between the actual percentage and the reported percentage is:

Difference = |Reported percentage - Actual percentage|

Difference = |95% - x%|

For example, if the actual percentage was 90%, then the difference would be:

Difference = |95% - 90%|

Difference = |5%|

Difference = 5%

This means that the headline was off by 5 percentage points.

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Answer:

Step-by-step explanation:

Putting value of n = 12

f(12) = 128 + 15(12 - 1)

= 128 + 180 - 15

= 293

Step-by-step explanation:

2 1/4 is improper fraction, because it's 21/4. To simplify;

21/4 = 21/4  

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.  

21/4 = 5 1/4

With 21/4 simplified into 5 1/4, you would then do 5 1/4•3 which would be;

15.75

Conlusion/Answer:

Mary bought 15.75 pounds of turnips.

Answer:

3/70

Step-by-step explanation:

P(R,B) no replacement:  3/21 x 6/20 = 1/7 x 3/10 or 3/70 reduced

Answer:

D 0.00000256

Step-by-step explanation:

[tex]5^{28} *5^{-32}*5^{-4}=5^{28-32-4}=5^{-8}=\frac{1}{5^{8}} =0.00000256[/tex]

Answer:

B. 0.000256

Step-by-step explanation:

5^28 . 5^- 32 . 5^ -4

= 5^( 28 - 32 - 4 )

= 5^( 28 - 36 )

= 5^- 8

= 1 / 5^8

= 1 / 390625

= 0.000256

Answer:

The function has two unequal, complex roots

Step-by-step explanation:

Because the discriminant is negative, the function has two unequal, complex roots.

Answer: The answer to this question is measure of angle DGE = 1/2 (measure of arc DGE - measure of arc DE).

Step-by-step explanation:

The formula for an angle outside of the arc can be written as measure of angle x is equal to the larger arc starting from the ends of the segments forming x subtracted to the smaller arc starting from the ends of the segments forming x divided by 2.

Answer:

The problem seems to be incomplete, after an online search I couldn't find the complete question, to be able to solve the question, I will assume that the known measure is the width W.

For a rectangular prism of length L and width W, the surface area is calculated as:

S = W*L

For the assumption we took, we have:

W = 39.5ft

And we also know that S = 158 ft^2

And we want to find the missing dimension, in this case is L, then we need to solve:

158 ft^2 = W*L

We just need to divide both sides by the known measure, W

We get:

(158 ft^2)/W = L

So you just need to replace the known value, and can find the missing one.

Answer:

The right approach is "Systematic sampling".

Step-by-step explanation:

The value of x in the triangle is approximately 7.2 to the nearest tenth.

To determine the value of x in the triangle, we can use the trigonometric ratio of tangent (tan).

We are Given that one angle of the triangle is 46 degrees and the adjacent side to this angle is 7, we need to find the length of the opposite side (x).

The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

tan(46°) = x/7

Take the tangent of both sides of the equation:

tan(46°) = x/7

Multiply both sides by 7 to isolate x:

7 x tan(46°) = x

Use a calculator to find the tangent of 46 degrees:

tan(46°) ≈ 1.0355

Multiply 7 by the approximate value of the tangent:

7 x 1.0355 ≈ 7.249

Rounding the value of x to the nearest tenth, we find that x ≈ 7.2.

Therefore, to the nearest tenth, the value of x in the triangle is approximately 7.2.

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The value of x to the nearest tenth is approximately 5.0.

To find the value of x, we can use the trigonometric relationship of the sine function in a right triangle. In this case, we have an angle of 46 degrees and the opposite side x.

The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse. However, in this case, we don't know the length of the hypotenuse, but we can still find the value of x using the adjacent side.

Let's label the angle of 46 degrees as A, the adjacent side as B, and the opposite side as C.

sin(A) = C / B

sin(46°) = x / 7

To find the value of x, we can rearrange the equation:

x = 7 * sin(46°)

Using a calculator, we can evaluate sin(46°) and calculate the value of x:

x ≈ 7 * 0.7193

x ≈ 5.0351

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Answer:

sorry it's very long........

Answer:

n has to be negative

Step-by-step explanation:

To solve this equation, 15 has to be subtracted from 2 which is negative

Since n is positive then the overall result will be negative

Answer:

q = $0.05

e = $0.5

Step-by-step explanation:

13q = 0.65 equation 1

5q + 7e = $3.75   equation 2

in equation 1, divide both sides of the equation by 13

q = 0.65 / 13 = 0.05

Substitute for the value of q in equation 2

5(0.05) + 7e = 3.75

0.25 + 7e = 3.75

collect like terms

3,75 - 0.25 = 7e

3.5 = 7e

e = 0.5

Answer:

sector GPH = 16π yd²

Step-by-step explanation:

area of full circle = πr² = (π)(12²) = 144π yd²

area of 40° segment = (40/360)(144π) = 16π yd²

2 1/3 Lego planes every 40 minutes

Answer:

what graphs i don't see any

Step-by-step explanation:

?????

The Answer Is 540 Feet.

Angle AB is 45% of 1,200, 1/2 of the full track.

Do 0.45x1,200=540.