In this 45-46-90 triangle , I have been given the length of a leg . How do I find the length of the hypotenuse

The ship started at the Position 0.14 units.

To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.

Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:

Starting position + Distance sailed to the left = Distance to the treasure

Let's assign a variable, "x," to represent the starting position of the ship.

The equation becomes:

x - 0.055 = 0.085

To find the value of x, we can solve this equation by isolating x on one side:

x = 0.085 + 0.055

x = 0.14

Therefore, the ship started at the position 0.14 units.

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Answer:

83%

Step-by-step explanation:

100%-17%=83%

i hope it helps

Answer:  5

Step-by-step explanation:

The remainder for (x + 1) is the SAME as P(-1)

because x + 1 = 0 --> x = -1

P(x) = x² + 4x + 8

P(-1) = (-1)² + 4(-1) + 8

      =   1     -4       +8

      = 5

Answer:600?

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

After hour, pay increases by 10.

Answer:

7 boys

29 children dont own pets

there are 21 children all together

29/50

7/21

The total weight of the trailer is 55,600 pounds including the cab, trailer and the palettes

Weight of the cab = 7600 pounds

Weight of the trailer = 10,800 pounds

Weight of each palette carried by trailer = 1200 pounds

Weight: Weight is the result of multiplying the mass by the acceleration that is acting on it. Usually, it's the mass of the object times the acceleration brought on by gravity.

So, total weight of 31 palettes = 1200*31 = 37200 pounds

Total weight of the tractor = Weight of the cab + Weight of the trailer + Weight of 31 palettes

= 7600 + 10,800 + 37,200

= 55,600 pounds

So, total weight = 55,600

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Answer:

The best thing to do with data such as sales over the last year of the top 1000 customers would be to answer questions like:

1) what products sell the most: This would help the marketing department,for example on targeting what items to push.

2) what groups of people buy what product: Again this would be targeting who buys what. We may discover that males prefer product A and females prefer product B. Or young customers prefer different products that older. This would help marketing also on targeting sales.

Step-by-step explanation:

Based on the calculations, the equation for the locus of these points is equal to x² + y² = 9.

First of all, we would determine the distance between points A and B as follows:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(-3 - 3)² + (0 - 0)²]

Distance = √[-9² + 0]

Distance = √81

Distance = 9.

Four (4) times the distance between points A and B​ is given by:

Distance = 9 × 4

Distance = 36.

Translating the word problem into a mathematical expression, we have:

a² + b² = 36

Also, from the distance formula we have:

a = √[(h + 3)² + (k - 0)²]

a² = h² + 6h + 9 + k²    

Similarly, b² is given by:

b = √[(h - 3)² + (k - 0)²]

b² = h² - 6h + 9 + k²

Equating the equations, we have:

a² + b² = 36

h² + 6h + 9 + k² + h² - 6h + 9 + k² = 36

2h² + 2k² = 36 - 18

2h² + 2k² = 18

Dividing both sides by 2, we have:

h² + k² = 9   ⇒ x² + y² = 9.

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Answer:

It will take 2.2 hours for the trains to meet.

Step-by-step explanation:

Given,

Distance between two trains = 396 miles

Speed of one train = 95 mph

Speed of other train = 85 mph

Combined speed of trains = 95+85 = 180 mph

Distance = Speed * Time

Time =

Time =

Time = 2.2 hours

It will take 2.2 hours for the trains to meet.

Keywords: speed, distance

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Step-by-step explanation:

Answer:

The answer is 270000....

9514 1404 393

Answer:

  A. Nonlinear function

Step-by-step explanation:

No vertical line intersects the graph in more than one place, so it is a function (not a "relation").

The graph is not a straight line, so is not a linear function. It is a nonlinear function.

Answer:

nonlinear function

Step-by-step explanation:

A linear function is a straight line, a nonlinear function is a curved line, and a relation is a relationship between two points on a graph, such as an equation.

1. The Fill ups are as follow:

AB² +  BC² = AC. AD + AC. CD

2. Segment addition postulate

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

BC/ AC = CD/ BC and AB/ AC = AD/ AB

Now, BC² = AC. CD  and AB² = AC. AD

Using, Addition Property of Equality

AB² +  BC² = AC. AD + AC. CD

and, AB² +  BC² = AC (AD + CD)  [factor]

AD + CD = AD (segment addition postulate)

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PLATO

i got it correct :)

The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

Therefore, let's rewrite the expression to it's equivalent expression.

An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.

Therefore, using indices rule

\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)

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a) The probability that the test comes back negative for all six people is  95.8%,

b)  The probability that the test comes back positive for at least one of the six people is 4.2%.

(a) To find the probability that the test comes back negative for all six people, we can use the fact that the test is 99.3% effective in accurately detecting the absence of the antibody.

Since the test is 99.3% effective, the probability of it coming back negative for each individual who does not have the antibody is 0.993. Therefore, the probability that the test comes back negative for all six people is calculated as follows:

P(negative for all 6) = (0.993)^6 ≈ 0.958

Therefore, the probability that the test comes back negative for all six people is approximately 0.958, or 95.8%.

(b) To find the probability that the test comes back positive for at least one of the six people, we need to consider the probability of a false positive.

The probability of a false positive, which is the probability of the test coming back positive when the antibody is not present, is given as 0.007. Therefore, the probability of the test correctly identifying the absence of the antibody is 1 - 0.007 = 0.993.

The probability that the test comes back positive for at least one person is the complement of the probability that the test comes back negative for all six people. So we can calculate it as follows:

P(positive for at least one person) = 1 - P(negative for all 6) ≈ 1 - 0.958 = 0.042

Therefore, the probability that the test comes back positive for at least one of the six people is approximately 0.042, or 4.2%.

In summary, the probability that the test comes back negative for all six people is approximately 95.8%, while the probability that the test comes back positive for at least one of the six people is approximately 4.2%.

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The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

11 years.

Step-by-step explanation:

Given that Carter invested $ 16,000 in an account paying an interest rate of 5.6% compounded monthly, to determine, assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $ 29,600, the following calculation must be performed:

16,000 x (1 + 0.056 / 12) ^ Yx12 = 29,600

Y = 11

16,000 x 1.4666 ^ 132 = X

29,581.70 = X

Thus, rounded to the nearest year, it would take 11 years for the account to reach $ 29,600.

A higher credit score reduces your fixed costs because you will pay lower interest rates. That is option A.

A higher credit score is one of the factors that are being considered by banks or lenders before one is being viewed as being legible to borrow money.

This is soo because a higher credit score will reduce the lending interest rates of the individual because it shows such will pay back the borrowed money as soon as possible.

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1 row. number = 473

100 more = 573 100 less = 373

10 more = 483 10 less = 463

1 more = 474 1 less = 472

2nd row. number will be 398 - 100 = 298

100 more = 398 100 less = 198

10 more = 308 10 less = 288

1 more = 299 1 less = 297

3rd row. number will be 890 + 10 = 900

100 more = 1000 100 less = 800

10 more = 910 10 less = 890

1 more = 901 1 less = 899

Hello!

For this you would just need to multiple straight across. Here's how you would set it up:

3/4 ·1/8

Then you would multiple 3 x 1 = 3

And 4 x 8 =32

Your answer should be 3/32, it cannot be simplified so that is the final answer :).

Answer: The equation y = 3x - 4 is a linear equation in slope-intercept form, where the slope (3) is the coefficient of x and the y-intercept (-4) is the constant term. To find a solution for this equation, we can substitute a specific value of x and solve for the corresponding value of y.

For example, if we let x = 2, we can substitute it into the equation:

y = 3(2) - 4 = 6

So the solution for x=2 is y=6

We can also graph this equation, it will be a straight line with slope 3 and y-intercept (-4)

Step-by-step explanation:

Answer:

3x + 5

Step-by-step explanation:

We are doing variables and simplifying.

You have two types of numbers here, you have a coefficient, and you have regular numbers. Now do keep in mind that you can never add a regular number to a coefficient. So the only thing in this problem you will add is 3 and 2. Because 3x is different

3x + (3 + 2)

3x + 5

The simplified form of the expression is 3x + 5.

Option A is the correct answer.

We have,

Expression:

3x + 3 + 2

Add like terms.

3x + (3 + 2)

3x + 5

This is the simplest simplified form of the expression.

Thus,

The simplified form of the expression is 3x + 5.

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Answer:

16

every time you go up 10% there will be 2 added

2*8=16

Step-by-step explanation:

If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

10% of a number is 2 less than 20% of the same number,

10% .x=20%x-2

Convert % to the decimal by diving with 100.

10/100x=20/100x-2

0.1x=0.2x-2

Subtract 0.1x on both sides

0=0.2x-0.1x-2

Add 2 on both sides

2=0.2x-0.1x

2=0.1x

Divide both sides by 0.1

20=x

Now we need to find 80% of 20.

80% of 20

80/100×20

0.8×20

16

Hence, 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.

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Answer:

circumference (c) , radius (r)

Step-by-step explanation:

c=2 pi r

c=2*3.14 *39

c= 244.92cm

Answer:

The circumference is about 22.14cm

Step-by-step explanation:

This is because first you take the area and multiply it by pi. Next you take the square root of this number. Now you take this number and multiply it by 2 to get 22.14.

Hope I helped! Have a Great rest of your day! :-)

The equation has no solution in real numbers, since the secant function is always greater than or equal to 1 and the right-hand side of the equation is negative.

A function in mathematics is a rule that designates a certain element from a different set, known as the range to each element in the domain of a set. Typically, a function is represented by a symbol like f(x), where x is an element from the domain and f(x) represents the output for that element from the range.

We can start by isolating the trigonometric function by moving the constant to the other side:

√(3) x sec²(x) = -2

Then, we can divide both sides by sqrt(3) to get:

sec²(x) = -2/√(3)

Therefore,  the solution is itself.

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Answer:

I think it's 256

Step-by-step explanation

Answer:

256

Step-by-step explanation:

why well

it goes like this

write the 2 number as shown

16 gallons            cups

what is more gallons or cups

its gallons so

large to small

lagre to small is mutipling and small to large is dividing so u need to mutiply the amout of cups are in a gallon wichis 16 so 16 times 16 is 256 so there u go