A triangular roof is built so that its height is half its base. If the base of the roof is 32 feet long, what is the area of the roof?

If you want to guarantee that two cards are from the same suit, you need only draw five cards (since there is no way you can draw five cards without at least two of them being the same suit)

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

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The measure of the distance from the ship to the yacht is approximately equal to 7 km.

To draw the scale diagram,

Draw a coordinate system.

Let us use the ship's position as the origin (0, 0) and label the x-axis East and the y-axis 'North'.

Then plot the positions of the tugboat and yacht relative to the ship using their bearings and distances.

The position of the tugboat, start at the ship's position and draw a line at a bearing of 110° for a distance of 14 km.

Attached diagram.

On the scale diagram,

Draw a line segment 40 mm long since 1 cm represents 3.5 km at an angle of 70° counterclockwise from the x-axis (since 180° - 110° = 70°).

Label the endpoint of this line as T for the tugboat.

The position of the yacht relative to the tugboat,

Use some trigonometry.

Draw a right triangle with one leg pointing in the direction of the yacht (at a bearing of 75°).

And the other leg pointing in the direction of the tugboat  at a bearing of 20°, which is 180° - 110° - 75°.

The distance between the yacht and tugboat 7 km is the hypotenuse of this triangle.

Use the sine and cosine functions to find the lengths of the legs.

cos(20°) = x/7 km,

where x is the length of the leg pointing toward the tugboat

sin(20°) = y/7 km,

where y is the length of the leg pointing toward the yacht

Solving for x and y, we get,

x = 7 km × cos(20°)

  ≈ 6.5 km

y = 7 km × sin(20°)

 ≈ 2.4 km

To plot the position of the yacht,

At the tugboat's position .

And draw a line segment 18 mm long since 1 cm represents 3.5 km at an angle of 15° counterclockwise from the x-axis (since 90° - 75° = 15°).

which represents the leg pointing toward the yacht.

Label the endpoint of this line as Y for the yacht.

Finally, to find the distance between the ship and the yacht, use the distance formula.

distance = √((y₂ - y₁)² + (x₂ - x₁)²)

where (x₁, y₁) is the ship's position and (x₂, y₂) is the yacht's position. Substituting the values we found earlier, we get:

distance = √((2.4 km)² + (6.5 km)²)

               ≈ 7.0 km

Therefore, the distance from the ship to the yacht is approximately 7 km.

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Answer:

the missing side of triangle is

\( \sqrt{y {}^{2} - {26}^{2}} \)

Answer:

Step-by-step explanation:

Use trigonometry:

The phone is worth $128 after 2 years, which is option C.

What is exponential decay ?

Exponential decay is a decrease in a quantity over time where the rate of decay is proportional to the current value. In this case, the value of the phone decreases by 3/5 each year after it is released. This means that the value after one year is 2/5 of the original value, and the value after two years is (2/5) times (2/5) of the original value. Exponential decay is a common phenomenon in many areas of science and mathematics, including radioactive decay, population growth and decay, and financial investments.

Calculating the worth of the phone :

The phone is not worth the same amount after 2 years, as it loses 3/5 of its value each year. We need to calculate its worth after 2 years.

Let's use the formula for exponential decay: \(A = A_0(1 - r)^t\), where A is the final amount, \(A_0\) is the initial amount, r is the decay rate, and t is the time elapsed.

In this case, the initial amount is $800, the decay rate is 3/5, and the time elapsed is 2 years. Substituting these values into the formula, we get:

\(A = 800(1 - 3/5)^2\)

\(A = 800(2/5)^2\)

\(A = 800(4/25)\)

\(A = 128\)

Therefore, the phone is worth $128 after 2 years, which is option C.

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There is no such a number whose absolute value is -2. This is because the absolute value of any number is its distance from 0 irrespective of the direction.

An absolute value of a number is the distance of the number from 0 on a number line irrespective of the direction.

Consider the number "x".

Then its absolute value is written as

|x| = x if x ≥ 0;

   = 0 if x = 0;

   = -x if x < 0;

For example x = -9; then its absolute value is

|(-9)| = -(-9) = 9; (Since x = -9 < 0; we applied |x| = -x)

So, we can conclude that irrespective of the direction (positive or negative), the absolute value of any number remains positive.

We know that the absolute value of any number is calculated by

|x| = x if x ≥ 0;

   = 0 if x = 0;

   = -x if x < 0;

And the absolute value of any number irrespective of its direction on the number line remains positive.

So, no such number has a negative absolute value.

Hence, the answer is none for the given question.

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The coordinates weighted average is 6.

The whole query is as follows:

The weights of the coordinates 3 and 8 are 2 and 3, respectively. Additionally, we must determine the weighted average.

The parameters are as follows:

Three has a weight of two.

The weight of coordinate 8 is 3.

Next, the weight average is determined as follows:

Weight average is equal to the product of the weight and the coordinates.

We thus have:

Average weight: (3 * 2 + 8 * 3)/(2 + 3)

Assess the quotient.

Average weight = 6

Consequently, the coordinates' weighted average is 6

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As we know 1 kilometer = 39370.079 inches

and, 8.39 kilometer = 330,315 inches.

Kilometers: - It is a unit of length in the international system of units (SI) equal to one thousand meters. It is now the measurement unit used for expressing distances between geographical places on land in most of the world.

Inches: - It is a unit of length in the British imperial and united states customary system of measurement. It is equal 1/36 yard or 1/12 of a foot.

To convert a kilometer measurement to an inch measurement, multiply the length by the conversion ratio.

Since 01 kilometer = 39,370.07874 inches,

We can use this simple formula to convert:

          inches = kilometers × 39,370.079

Now, according to the question:

inches = 8.39 × 39370.079

inches = 33.315

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Answer:

it can go to 160 on in 18 hours so the the answer could be 26 hours

SOLUTION

I believe the following explanation should help to answer

A consistent system is a system that has at least one solution.

If a consistent system has exactly one solution, it is independent.

If a consistent system has an infinite number of solutions, it is dependent.

But, If a system has no solution, it is said to be inconsistent

Hence the answer is Inconsistent, option D

W=130

Step-by-step explanation:

the question giving says_W=130and if minus is crossing to the other side it becomes+

Answer:

Step-by-step explanation:

You want to know angles x, y, and z in the given figure where parallel lines 'a' and 'b' are crossed by a transversal. The sum of these angles is 290°.

Angles y and z are called consecutive interior angles. As such, they are supplementary, so their sum is 180°.

  x + y + z = 290°

  x + 180° = 290°

  x = 110°

Angles x and y are vertical angles, so are congruent.

  y = x = 110°

Then z is found from ...

  y + z = 180°

  110° + z = 180°

  z = 70°

The measures of x, y, and z are 110°, 110°, and 70°, respectively.

<95141404393>

y = -6

Okay lets substitute x = 0

7 x 0 + 2y = -12

solve the equation for y

y = -6

The first ordered pair is (850, 162.65), indicating that at a price of $162.65 per ounce, the daily demand of Virbog is 850 ounces. The second ordered pair is (1450, 132.05), indicating that at a price of $132.05 per ounce, the daily demand of Virbog is 1450 ounces.

These ordered pairs represent the relationship between the quantity demanded and the price per ounce of Virbog. It shows how the demand for Virbog changes with respect to its price.

The first ordered pair indicates that as the price per ounce increases to $162.65, the quantity demanded decreases to 850 ounces. The second ordered pair indicates that as the price per ounce decreases to $132.05, the quantity demanded increases to 1450 ounces. This information can be used to analyze the demand curve for Virbog and study its price elasticity.


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Answer:

the answer is c

Step-by-step explanation:

Answer:

63square units

Step-by-step explanation:

A=b*h just like a rectangle.

9*7=63

Answer:

4h40min

Step-by-step explanation:

necklaces she made

=$59.50/$4.25

=14necklaces

time spent making 14 necklaces

=14x20min

=280min

=4h40min

Answer:

280minutes or 4hours 40minutes

Step-by-step explanation:

Number of necklaces:

$59.50 ÷ $4.25 = 14

Time taken:

14 × 20minutes = 280minutes

Answer:

Step-by-step explanation:

2(l + w) = P

l + w = P/2

l = P/2 - w

Option 2

Answer:

Option A

Step-by-step explanation:

A type II error occurs when the researcher fails to reject the bull hypothesis when it is false.

In this study, the

null hypothesis is H0:µ = 0.82 while the alternative hypothesis is H1:µ > 0.82

Thus, the type II error will be that the fish is accepted by the FDA when in fact it had more than 0.82 ppm of mercury.

Answer: To find the decimal expansion of 5/7, we can perform long division as follows:

0.7│5.0

    4 2

 ────

  8 │ 30

    28

  ───

20 │ 200

    196

  ────

      4

Hence, 5/7 = 0.714285... where the digits 714285 repeat indefinitely. To find the maximum number of digits in the repeating block of digits, we can observe that the repeating block will be at most 6 digits long because 7 has a factor of 2 and 5, and therefore 7 divides 10^6 - 1 = 999999.

In fact, we can see that the repeating block in this case has 6 digits, since the digits 714285 repeat indefinitely, and there are 6 digits in this repeating block. Therefore, the maximum number of digits in the repeating block of digits in the decimal expansion of 5/7 is 6.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

9y+3=0 is linear

y-4x=1 is linear

y=2+6x4 is not linear

x-2y=7 is linear

x/y+1=2 is linear

Answer: ≈ 194.3

Step-by-step explanation: So, first we need to find out how many pounds she lost alone in 11 1/2 days. So, we take the full amount of 11.5 (which is 11) and multiply it by 0.5. That'd be 5.5 or 5.50. Now, we need to find half of 0.5. That'd be 0.25. Now, we add 0.25 to 5.5. That'd be 5.75. So in 11 1/2 days, Cindy lost 5.75. Although, now it asks how much weighs after she lost 5.75 lbs. So, we subtract the 200 lbs (starting weight) from the pounds lost during the 11 1/2 days. That'd be 194.25. So, therefore she lost about 194.3 lbs. I hope this helped!

Answer:

I am not sure about slope intercept form, my English is not well. But I think they are

y = x + 7 and y = 2x + 5

Step-by-step explanation:

Answer:

64 (2) ^ n-1  

I hope that this helps!

Answer:

So You have to minus $39.50-$61.25 to getnegative 11.75

Answer:

"A) 12n + 14m + 4" would be the standard form.

Step-by-step explanation:

the expression written correctly in standard form would be "A) 12n + 14m + 4"

10m + 3(n + 8) + 4(m - 5) + 9n you need to first clear the parenthesis by applying distributive property:

10m + 3(n + 8) + 4(m - 5) + 9n = 10m + 3n + 24 + 4m - 20 + 9n

After that you combine like terms

= 10m + 4m + 3n + 9n + 24 - 20 = 14m + 12n + 4

"A) 12n + 14m + 4" would be the standard form.

Answer:

2(12 + π)

Step-by-step explanation:

This will get you about 30and even by just counting squares you will get the closest to this answer.

Answer:

Step-by-step explanation:

cos theta is 5/13

so, adjacent=5 ,hypotenuse=13 and opposite=?

hypotenuse^2=adjacent^2+opposite^2

13^2=5^2+opposite^2

169-25=opposite^2

\(\sqrt{144}\)=opposite

12=opposite

sin theta=opposite/hypotenuse

=12/13

Let's see

\(\\ \rm\rightarrowtail x^2+4x-21\)

\(\\ \rm\rightarrowtail x^2+7x-3x-21\)

\(\\ \rm\rightarrowtail x(x+7)-3(x+7)\)

\(\\ \rm\rightarrowtail (x-3)(x+7)\)

Answer:

22 is C and I don't know 21

When we translate a graph adding X units it will have a horizontal shift to the left.

But if we subtract X units, it'll have a horizontal shift to the right

So in this case, x-3 means we are doing a horizontal shift to the right.