Please help thank you

Part A: Since triangle 2 is a right triangle, we can apply the Pythagorean Theorem to it. The theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. So, the equation for triangle 2 would be c2 = a2 + b2.

Part B: Both equations for triangles 1 and 2 have a2 + b2. We can think of them as a system of equations. So, we can substitute what a2 + b2 equals in the first equation for a2 + b2 in the second equation. After substituting, we get the equation: n2 = c2 - 2ac.

Part C: To get the resulting equation, we take the square root of both sides of the equation from part B. So, we get: n = sqrt(c2 - 2ac).

Part D: Yes, there is a way for this equation to be true. It would be true if triangle 1 is a right triangle with the hypotenuse being c and one leg being a.

Part E: This shows that there is a relationship between the two triangles. Specifically, it shows that the length of the third side of triangle 1 is related to the lengths of the other two sides of triangle 1 and the hypotenuse of triangle 2.

Part F: No, this does not necessarily mean that triangle 1 is a right triangle. It only means that if triangle 1 is a right triangle, then the equation from part C would be true.

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Answer:

(-5,4)

Step-by-step explanation:

If you look at A and then at AB midpoint you will see that A is 5 down from M and 4 right from M. So, if you minus 4 from -1 you get -5, and if you add 5 from -1 you get 4. Therefor the answer is (-5,4)

Advanced math : shes correct

Answer:

By the given information about the sets A and B, we have :

A={1,2,3,4,6,9,12,18,36}

B={3,6,9,12,15,18,21,24,27,30,36,…}

since A is the set of factors of 36 and B is the set of multiples of 3.

SOLUTION - 1:-

Now, recall the definition of intersection of two sets. Intersection of two sets say set A and B, denoted by A∩B is the set of all those elements which belong to both the sets A as well as B.

Therefore, A∩B={3,6,9,12,18,36}.

SOLUTION - 2 :-

Now, we have to find A \ B.

A \ B is the set of all those elements which belongs to A but don't belong to the set B.

So, clearly A \ B = {1,2,4}

Step-by-step explanation:

Up there

The measure of the angle ∠DEF is 85 degrees and the measure of the angle ∠CFE is 57 degrees.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees.

In a cyclic quadrilateral, the sum of opposite angles is 180°.

∠DCE + ∠DEF = 180°

             ∠DEF = 180° - ∠DCF

             ∠DEF = 180° - 95°

             ∠DEF = 85°

Similarly for the other two angles, we have

∠CDE + ∠CFE = 180°

             ∠CFE = 180° - ∠CDE

             ∠CFE = 180° - 123°

             ∠CFE = 57°

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The number of x-ray machines that were sold last year by Khybar inc. is C. 157.

From the information given, the the company can sell an x-ray machine which cost $508.17 and the commission was $79,558.59.

Therefore, the number of x-ray machines that were sold last year by Khybar inc. will be:

= 79558.59/508.17

= 156.5 = 157

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Answer:

the answer is b on edge

Step-by-step explanation:

just took test

6 weeks from now, you will have $215 in your bank account

The given parameters are:

b = 60 + (20+6)w

When the account balance is $215, we have

60 + (20+6)w = 215

Subtract 60 from both sides

(20+6)w = 155

This gives

26w = 155

Divide both sides by 26

w = 5.96

Approximate

w = 6

Hence, 6 weeks from now, you will have $215 in your bank account

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The probability that at least one bulb out of 12 will stop working during holiday season making all of lights go out on string is given by 0.2153.

Number of bulbs working throughout the holiday season = 12

Chance of each bulb working throughout the holiday season = 98%

Let A be the event that at least one bulb stops working during the holiday season, .

Making all of the lights go out, and let B be the event that all bulbs work throughout the holiday season.

Find P(A), the probability of event A.

Use the complement rule to find P(A),

P(A) = 1 - P(B)

To find P(B), we need to calculate the probability that each of the twelve bulbs works throughout the holiday season,

0.98¹² = 0.7847

So, the probability that all bulbs work throughout the holiday season is 0.7847.

This implies,

P(A) = 1 - P(B)

       = 1 - 0.7847

       = 0.2153

Therefore, probability that at least one bulb will stop working during  holiday season, making all of the lights go out on the string is 0.2153.

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the power series expansion for \(`x²e⁻ˣ` is `∑ (-1)ⁿ*xⁿ⁺²/n!`\) which is the same as the power series expansion for `e⁻ˣ` but with an additional factor of `x²`.

To determine the power series expansion for `x²e⁻ˣ`, we have to use

`ex = 1 + x + x²/2! + x³/3! + ... + xn/n! + ...`

Firstly, we'll have to rewrite `x²e⁻ˣ` into a summation of power series.

Therefore, using the power series expansion of `\(e⁻ˣ`: `e^-x=1-x+x^2/2!-x^3/3!+...+(-1)^n*x^n/n!+...`\)

we can say that \(`x²e⁻ˣ = x²*(1 - x + x²/2! - x³/3! + ... + (-1)^n*xⁿ/n! + ...)`\)

Now, we can substitute \(`x²` with `x²(1+x+x²/2!+x³/3!+...+x^n/n!+...)`\)

Therefore, we get the following power series expansion of `x²e⁻ˣ`:
\(x²e⁻ˣ= x²(1 - x + x²/2! - x³/3! + ... + (-1)^n*xⁿ/n! + ...)       = x² - x³ + x⁴/2! - x⁵/3! + ... + (-1)^n*xⁿ⁺²/n! + ...      = ∑ (-1)ⁿ*xⁿ⁺²/n!\)
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Answer: B, it is a function

Step-by-step explanation:

Answer:

the mean is 9

Step-by-step explanation:

The length of the longest side of each triangle is equal to 8 meters.

Mathematically, the perimeter of a triangle can be calculated by using this mathematical expression:

P = a + b + c

Where:

Based on the information provided about this garden, we can logically deduce the following parameters:

Perimeter, P = 34 meters.

Length of side = 3 × 2 = 6 meters.

Length of side = 4 × 2 = 8 meters, which represents the longest side of each triangle.

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Answer:

802+122−102

Step-by-step explanation:

Answer:

Answers actually (1,3)

Step-by-step explanation:

Just took the test on edge

Answer:

8-10 feet

Step-by-step explanation:

If the length of the carpet is two more than the width, the width can be expressed as x and the length can be expressed as x+2. This means that the area(x^2+2x) must be greater than 48 but no less than 80.

Now we can solve for both the maximum and minimum cases:

x^2+2x=48, x^2+2x-48=0, now we can factor, (x+8)(x-6)=0, and now we can use the Zero Product Property to find x=-8;x=6. Since we cant have negative width, x at least has to be equal to 6.

x^2+2x=80,x^2+2x-80=0, now we can factor, (x+10)(x-8), and now using the Zero Product Property to find x=-10;x=8, and since it must be positive, at most x can equal 8.

Now since the length is two more than the width, x, you add two to both of these values and get a range of 8-10 feet.

Answer:

627 miles north

747 miles east

Step-by-step explanation:

Bearing angles are measured east of north, so in (N, E) coordinates, the final position of the plane is ...

 (1.5 h)(650 mi/h)(cos(50°), sin(50°)) = (975cos(50°), 975sin(50°)) mi

 = (626.72, 746.89) mi

The plane will be 627 miles north and 747 miles east of its point of departure.

ok

Hose 1 = H = 5g/2 m

Hose 2 = M = 10g/8 m = 5g/4m

Hose 1 + Hose 2 = Total

5g/2 m + 5g/4 m = Total

10g/4m + 5g/4m = Total

15 gallons/4 min = total

15 gallons ---------------------------- 4 min

750 gallons -------------------------- x

x = (750 x 4) / 15

x = 3000 / 15

x = 200 min

Result. It will take 200 min to fill the pool

Answer:

1/3

Step-by-step explanation:

total number of students = 15

students that chose choir as their favourite class= 5

P(choir)= 5/15 = 1/3

To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.

Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0

Earliest finish time = 1

Activity B: Earliest start time = 2

Earliest finish time = 5

Activity C: Earliest start time = 5

Earliest finish time = 11

Activity D: Earliest start time = 11

Earliest finish time = 17

Activity E: Earliest start time = 5

Earliest finish time = 8 Activity F:

Earliest start time = 8

Earliest finish time = 17

Now we can calculate the latest start and latest finish times for each activity using the backward pass.

Latest finish time = 5

Latest start time = 2

Activity A: Latest finish time = 1

Latest start time = 0

Now we can calculate the slack time for each activity as follows:Activity A:

Slack time = 0

Activity B: Slack time = 0

Activity C: Slack time = 0

Activity D: Slack time = 0

Activity E: Slack time = 3

Activity F: Slack time = 0

The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.

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Answer:

132<156<168 or 12×1, 12×2 ...

Step-by-step explanation:

Jimmy's 24cm taller than Lya, and Kessie's 12cm taller than Jimmy

First, the definition of parallel lines is:

Lines on a plane that never meet. They are always the same distance apart.

Considering the definition we draw the parallel line as a line that has all its points at the same distance of the one that passes through A and B.

Answer:

Intersecting

Step-by-step explanation:

10x - 5y = 3 Subtract 10x from both sides

-10x         -10x

-5y = -10x + 3 Divide both sides by -5

y = 2x - 3/5

5x - 10y = 3 Subtract both sides by 5x

-5x         -5x

-10y = -5x + 3 Divide both sides by -10

y = 1/2x - 0.3

Their slopes are different, so they will probably intercept.

Answer:

w = \(\sqrt{147}\)

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

w² + 7² = 14²

w² + 49 = 196 ( subtract 49 from both sides )

w² = 147 ( take the square root of both sides )

w = \(\sqrt{147}\)

Answer:

4

Step-by-step explanation:

You have to divide, 36 divided by 9 is 4, so that is the answer.

Part 1

Circle A: 6

Circle B: 5

Circle C: 3+ CB

Circle D: 1-R of CC

Circle C:

5+3=8

Radius: 8

Circle D

8-1=7

Radius: 7

Circle C:8

Circle D:7

Part 2

Formula: PiR^2

Circle A:

6*6=36

36*3.14=113.04

Circle C:

8*8=64

64*3.14=200.96

200.96-113.05=87.91

87.91

Answer:

The total mechanical energy is 0.712 J.

Step-by-step explanation:

A blue 573 g mobile is moving on a metal rail. If on the mobile, the spring exerts a force to the right of modulus 0.85 N and in the indicated position the kinetic energy of the mobile-spring system is 0.47 J and its elastic potential energy is 0.242 J. Determine the mechanical energy of the system mobile-spring in the position shown as indicated in the figure.

The total mechanical energy is given by the sum of the kinetic energy and the potential energy.

Kinetic energy = 0.47 J

Potential energy = 0.242 J

The total mechanical energy is

T = 0.47 + 0.242 = 0.712 J

The flux of the vector-field F = 1i + 1j + 2k across the surface S is 2. We find out the flux of the vector-field using Green's Theorem.

Flux form of Green's Theorem for the given vector-field

φ = ∫ F.n ds

= ∫∫ F. divG.dA

Here G is equivalent to the part of the plane = 2x+4y+z = 2.

and given F = 1i + 1j + 2k

divG = div(2x+4y+z = 2) = 2i + 4j + k

Flux = ∫(1i + 1j + 2k) (2i + 4j + k) dA

φ = ∫ (2 + 4 + 2)dA

= 8∫dA

A = 1/2 XY (on the given x-y plane)

2x+4y =2

at x = 0, y = 1/2

y = 0, x = 1

1/2 (1*1/2) = 1/4

Therefore flux = 8*1/4 = 2

φ = 2.

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Considering the way of solve a quadratic function, the quadratic function f(x) = -4x² + 2x -5 does not have zeros o roots.

Solving a quadratic function involves finding the zeros of the function, this is, the points where a polynomial function crosses the axis of the independent term (x).

In summary, the roots or zeros of the quadratic function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

In a quadratic function that has the form:

f(x)= ax² + bx + c

the zeros or roots are calculated by:

\(x1,x2=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}\)

The quadratic function is f(x) = -4x² + 2x -5

Being:

the zeros or roots are calculated as:

\(x1=\frac{-2+\sqrt{2^{2}-4x(-4)x(-5) } }{2x(-4)}\)

\(x1=\frac{-2+\sqrt{4-80} }{2x(-4)}\)

\(x1=\frac{-2+\sqrt{-76} }{2x(-4)}\)

and

\(x2=\frac{-2-\sqrt{2^{2}-4x(-4)x(-5) } }{2x(-4)}\)

\(x2=\frac{-2-\sqrt{4-80} }{2x(-4)}\)

\(x2=\frac{-2-\sqrt{-76} }{2x(-4)}\)

As the √-76 has no real solution (it is not possible to calculate it), it indicates that it is not possible to calculate the roots of the function

Finally, the quadratic function f(x) = -4x² + 2x -5 does not have zeros o roots.

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Answer:

44, 54, 82. Acute

Step-by-step explanation:

x + x + 10 + 2x - 6 = 180 (Triangle Sum Theorem)

4x + 4 = 180 (Combine Like Terms)

4x = 176 (Subtraction Property of Equality)

x = 44 (Division Property of Equality)

Now that we have found the value of x, we need to substitute it with the provided angles.

∡1 = x = 44°

∡2 = x + 10 = 54°

∡3 = 2x - 6 = 2(44) - 6 = 82°

So, the answer is an Acute triangle (Option 4).

Answer:

30 feet

Step-by-step explanation:

Sabrina has a diameter of 30 ft

Answer:

D = 30

A = 78.5

Step-by-step explanation: