A triangle has sides with lengths of 24 meters,
20 meters, and 16 meters. Is it a right triangle?

Answer:

The correct option is;

The player runs 4 meters forward, and then  runs 4 meters in the opposite direction

Step-by-step explanation:

From the question relates to the displacement of a body, compared to the distance covered by the body

In the question instance, the situation in which the player displacement will be  zero is one where both the players forward and backward displacement are equal such that they cancel each other

We have the instance where the forward and opposite displacement are  equal is given by the situation where the player runs 4 meters forward, and then  runs 4 meters in the opposite direction.

Answer:

d would be the answer if your so needy

Step-by-step explanation:

In general, the Divergence Test (nth term test) only allows us to determine whether a series diverges or not. It does not help us to determine the convergence of a series. Therefore, none of the other tests apply to this series.

The Divergence Test (nth term test) states that if the limit of the nth term of a series is not equal to zero, then the series diverges.

The series [infinity] 12 n n=1 is defined as follows:

[infinity] 12 n n=1 = 12¹ + 12² + 12³ + ...

The nth term of this series is given by:

aₙ = 12ⁿ As n → ∞, aₙ → ∞,

which means the limit of the nth term of the series does not exist.

Therefore, the series [infinity] 12 n n=1 diverges by the Divergence Test (nth term test).

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Answer:

2/6

Step-by-step explanation:

Answer:

c to the power of 5 x c = c⁶

Step-by-step explanation:

We need to find the expression for c to the power of 5 x c.

c to power 5 is : c⁵

Now, multiply c⁵ and c.

c⁵ × c = c⁵⁺¹

= c⁶

So, the final expression is c⁶. Hence, this is the required solution.

Answer:

Step-by-step explanation:

c to the power of 6

Given: The vectors u, v, and w as-

Required: To determine the value of c such that u+cw is orthogonal to u.

Explanation: Two vectors are said to be orthogonal if their dot product is zero.

The vector u+cw is-

The dot product of two vectors of the form-

Now, taking the dot product of (u+cw) with u as follows-

Now, the product will be zero if the vectors are orthogonal.

Final Answer: The value of c is-

Answer: 4708

Step-by-step explanation:

That's what we know:                  

Plan and substitute:

Work out the item or remainder:

Work out the aggregate or contrast:

Work out the item or remainder:

Reply:

These are just the step sorry couldn't find any way to help so I recommend to use gauth math but the thing is gauth math some of the answer is incorrect so tried to use it if it help

As a result, there is a 23.3 degree depression in the angle between the balloon and its final location.

A person on the ground is 36° lower than a hot air balloon in the air at this angle of depression. The new angle of depression is 25° if the subject moves backwards by 10 feet.

The tangent function allows us to write:

tan θ = opposite / adjacent

Therefore:

tan θ = 7800 / 17952

tan θ ≈ 0.435

To find θ, we need to take the inverse tangent (or arctan) of both sides:

θ = arctan(0.435)

Using a calculator, we get:

θ ≈ 23.3 degrees

As a result, there is a 23.3 degree depression in the angle between the balloon and its final location.

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Answer:

Step-by-step explanation:

There are 50 students in a group.

Using Venn diagram, we have 50=x+8+7+5+x+9+(x+3)50=x+8+7+5+x+9+(x+3) .

50=3x+3250=3x+32

3x=183x=18

x=6x=6

The number of students that take Maths is x+8+7+5=26x+8+7+5=26 .

Answer: x=6x=6 ; 2626 students take Maths.

Using Complete the Square method, we find out that \(x^{2} -5x+8\) can be expressed in the form of \((x-a)^{2}+b\) as \((x-\frac{5}{2}) ^{2} +\frac{7}{4}\) where a and b are top-heavy fractions.

It is given to us that the expression is -

\(x^{2} -5x+8\) ----(1)

We have to express it in the form of\((x-a)^{2}+b\) where a and b are top-heavy fractions.

In order to achieve the required expression in the form of  \((x-a)^{2}+b\) we have to use "Completing the Square" method.

The given expression from (1) is -

\(x^{2} -5x+8\)

This expression is in the form of \(ax^{2} +bx+c\)

Adding and subtracting \((b/2)^{2}\) terms into the expression, we get

\(x^{2} -5x+[\frac{5}{2}] ^{2}-[\frac{5}{2}] ^{2}+8\) -----(2)

Equation (2) can also be represented as -

\((x-\frac{5}{2}) ^{2} -[\frac{5}{2}] ^{2} +8\)

\(= > (x-\frac{5}{2}) ^{2} -\frac{25}{4} +8\\= > (x-\frac{5}{2}) ^{2} +\frac{7}{4}\)------- (3)

We see that equation (3) is in the form of \((x-a)^{2}+b\).

So, we can derive that -

\(a=\frac{5}{2}\)

and, \(b=\frac{7}{4}\).

Thus, \(x^{2} -5x+8\) can be expressed in the form of \((x-a)^{2}+b\) through "Complete the Square" method as \((x-\frac{5}{2}) ^{2} +\frac{7}{4}\) where a and b are top-heavy fractions.

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Answer:

Step-by-step explanation:

You need to find the model for this situation using the points given. If you are given 13 mg immediately, the coordinate point for that is (0, 13), where the x coordinate is the time in minutes and the y coordinate is the amount of dye in mg.

If after 12 minutes, 4.75 mg remain, the coordinate point for that is (12, 4.75). Just so you know, the time unit always goes in for x, never for y.

Now that we have these coordinates we are going to use them as a system and find the model. Begin with the point (0, 13) in

\(A=a(b)^t\) where A is the amount left in the body, a is the initial amount injected, b is the rate at which it decays, and t is the time in minutes. Plug in the first set of coordinates:

\(13=a(b)^0\) and since anything raised to the power of 0 is equal to 1, we have

13 = a. Now we can use that and write another equation with the other set of coordinates to solve for b:

\(4.75=13(b)^{12}\) and divide both sides by 13 (don't round anything yet) to get

.3653846154 = b¹². Now take the 12th root of both sides (you need a scientific calculator for this) to get that

b = .9195228407  Yikes.

Now for the model, using the fact that a = 13 and b = .9195228407:

\(A=13(.9195228407)^t\)  

We are told that the amount that we are allowed to leave with still remaining in our system cannot be more than 2 mg, so we sub in a 2 for A:

\(2=13(.9195228407)^t\) and begin by dividing away 13 to get

\(.1538461538=.9195228407^t\)  Take the natural log of both sides, which allows us to bring the t out front:

ln(.1538461538) = t ln(.9195228407) and finally divide by ln(.9195228407) to get

t = 22.3 minutes

Answer:

144 in^2

Step-by-step explanation:

Using the A = s^2 and the text says that s= 12in

 the answer is 12 in * 12 in = 144 in^2

The solution of the equation y = (2/3)x + 3 is 5/3

The given equation is

y = (2/3)x + 3

The slope of the line is the change in y coordinates with respect to the change in x coordinates.

This is the linear equation in the the slope intercept form

y = mx + b

Where m is the slope of the line

b is the y intercept

y is the y coordinates

x is the x coordinates

The value of x = -2

Substitute the value of x in the equation

y = (2/3) × -2 + 3

Do the arithmetic operations

= -4/3 + 3

Add the numbers

= 5/3

Therefore, the solution is 5/3

I have solved the question in general, as the given question is incomplete

The complete question is:

What is the solution of the equation y = (2/3)x + 3x, when x = -2?

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Answer: A shirt costs $8 and the pants cost $ 12.

Step-by-step explanation:

Let x = Cost of each shirt, y = Cost of each pant.

As per given, we have

\(y-x=4 \ \ \ (i)\\\\ 10x-5y = 20\ \ \ (ii)\)

Multiply 5 on both sides of (i), we get

\(5y-5x=20 \ \ \ (iii)\)

Add (ii) and (iii), we get

\(5x=40\\\\\Rightarrow\ x=8\)

From (i), y=4+8=12

Hence, a shirt costs $8 and the pants cost $ 12.

Answer: x=-4, y=4

Step-by-step explanation:

We can use elimination method to solve this problem.

Let's eliminate y.

In equation 2, use the coefficient of y (i.e 5) to multiply equation 1. DO the same for other equation. Thus,

5(10x+7y=-12)

7(9x+5y=-16)

=> 50x+35y=-60

     63x+35y= -112

clearly, y can be eliminated by subtraction.

Therefore,

-13x = 52  [-63+50  and 112-60)]

x = -4.

When x = -4,

9x+5y =-16

9(-4) +5y =-16

5y = 36-16

y=4.

The center of the circle is (-3, 0), and the radius is 1.

The diameter of a circle is twice the length of the radius, so the diameter in this case is 2.

The given equation is in the standard form of a circle:

\((x + h)^2 + (y - k)^2 = r^2\)

Comparing this with the given equation, we can determine the center and radius of the circle.

Center:

The center of the circle is given by the coordinates (-h, k).

In this case, the center is (-3, 0).

Radius:

The radius of the circle is determined by the value of r in the equation.

In this case, the radius is √1 = 1.

Therefore, the center of the circle is (-3, 0), and the radius is 1.

To graph the circle, we can plot the center (-3, 0) on a coordinate plane and draw a circle with a radius of 1 centered at that point.

Here is the plot of the circle with the center (-3, 0) and a radius of 1:

       |    

       |      

       |      

       |      

____|______

      -3      

In this plot, the point (-3, 0) represents the center of the circle, and the circle extends with a radius of 1 unit in all directions.

The center of the circle is (-3, 0), and the radius is 1.

The diameter of a circle is twice the length of the radius, so the diameter in this case is 2.

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Answer:

8 Shorts 16 shirts

Step-by-step explanation:

*= times

Let x=number of shorts sold

Amount of money taken in from shorts=14x

Then 2x=number of T-shirts sold

Amount of money taken in from T-shirts=9*2x or 18x

Now we are told that (1)+(2)=$256. So our equation to solve is:

14x+18x=256 collect like terms

32x=256 divide both sides by 32

x=8 number of shorts sold

2x=2*8=16 number of T-shirts sold

Answer:

Step-by-step explanation:

Can you please send a pic of the leason

Answer:

9.9km

Step-by-step explanation:

11m times 60 seconds 660 m a minute 660m times 15 minutes 9900m per15 min 9900m divideded by 1000 9.9 km

there are 1000 meters in a kilometer

The length of the race track is 171m

To determine the length of the race track, we need to know that the length takes the shape of a rectangle

Now, we have that the formula that is used for calculating the perimeter of a rectangle is expressed as;

P = 2(l +w)

Such that the parameters of the formula are;

Substitute the values, we have;

Perimeter = 2(25.5 + 60)

expand the bracket, we get;

Perimeter = 2(85.5)

Perimeter = 171 m

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Answer:

George should charge 1.70$ for each frame to break-even.

Step-by-step explanation:

Variable cost for the frames:

Wood + polishing = $100 + $50 = $150

Variable cost per frame would be:

$150/ 500 = $0.30

The fixed cost of the operation is $700.

George has to make 500 frames.

Fixed cost / (Selling price per unit – variable cost per unit) = 500

$700 / (Selling price per unit - $0.30) = 500

700 = 500 (Selling price per unit – 0.30)

700 = 500 * Selling price – 500 * 0.3

700 = 500 * Selling price – 150

(700 + 150) / 500 = Selling price

850 / 500 = 1.7

Answer:

ln(28.1) ≈ 3.336

log(2/5) ≈ -0.398

Step-by-step explanation:

In this question, we are asked to find the natural log of 28.1 and the log base 10 of 2/5, rounded to the nearest thousandth.

The natural log of a number x is what power the constant e is raised to to get x.

For example,

ln(e²) = 2

We can approximate ln(28.1) by inputting it into a calculator.

ln(28.1) ≈ 3.33576957634

Then, we can round this to the nearest thousandth.

ln(28.1) ≈ 3.336

Notice how the 7 in the ten-thousandths place is greater than or equal to 5, so we round the thousandths place digit up to 6.

__

The log base 10 of a number x is what power the number 10 is raised to to get x. However, note that since log base 10 is the "common log" the base of 10 is not always specified.

log(2/5) ≈ -0.398

Notice how the output is negative, since 2/5 is less than 1 (and any number to the zeroth power is 1).

Answer:

Step-by-step explanation:

1 Factor out the common term 33.

3(y-x)=4.

3(y−x)=4.

2 Divide both sides by 33.

y-x=\frac{4.}{3}

y−x=

3

4.

​

3 Subtract yy from both sides.

-x=\frac{4.}{3}-y

−x=

3

4.

​

−y

4 Multiply both sides by -1−1.

x=-\frac{4.}{3}+y

x=−

3

4.

​

+y

5 Regroup terms.

x=y-\frac{4.}{3}

x=y−

3

4.

​

The values of x and y the triangles to the fight congruent are x = 3 and

y = 1.

What is congruent triangles?

Triangles with the same size and shape are said to be congruent. This implies that the corresponding sides and angles are both equal. Without comparing every angle and side of the two triangles, we can determine whether two triangles are congruent.

If given these triangles are congruent then all corresponding side must be equal

As we can see that both triangle are right triangle

Therefore hypotenuse of one triangle equal to another

x+1  = 4y   ..... (A)

And lenght ( height)  of one  must equal to another triangle

x = y +2          .... (B)

therefore

Plug the value of x = y + 2 in equation A

y + 2 + 1 = 4y

        3y = 3

          y = 1

and x = y+2

x = 1 + 2

x = 3

Hence, the values of x and y the triangles to the fight congruent are

x = 3 and y = 1.

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Complete question:

Complete question is attached below.

Answer:

8.9 seconds

Step-by-step explanation:

When caroline catches sam after some time lets say t

distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart.

Given

Let the time taken by Caroline to catch sam is t seconds

distance covered by Caroline in t seconds = speed of caroline*t

distance covered by Caroline in t seconds = 31  * t

distance covered by Caroline in t seconds = 31t feet

distance covered by sam in t seconds = speed of sam*t

distance covered by sam in t seconds = 22  * t

distance covered by sam in t seconds = 22t feet

distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart and caroline catches her in t seconds

thus,

distance covered by Caroline in t seconds  = distance covered by sam in t seconds  + 80 feet

31t = 22t + 80

subtracting 22t from both sides

=> 31t - 22 t = 80

=> 9t = 80

=>t = 80/9 = 8.9 seconds

Thus,

it will take 8.9 seconds for Caroline to catch Sam

Answer:

$13.80

Step-by-step explanation:

Divide $16.12 by 7 which equals 2.30, then multiply 2.30 by 6 to get ^^

Answer:

Step-by-step explanation:

lets solve by elimination

first lets multiply the bottom equation by 2 so it can cancel out with 4

2(-2x+5y=-9)

-4x+10y=-18

now we cancel out

4x-10y=18

-4x+10y=-18

everything cancels out so there is no solution

Answer:

See below.

Step-by-step explanation:

So first, we can separate the entire figure into a semi-circle and an isosceles triangle.

AREA:

The area for a semi-circle is \(\frac{1}{2}\pi r^2\).

The diameter is 8cm, so the radius is 4cm.

Area of the semi-circle is:

\(\frac{1}{2}(4)^2\pi=\frac{1}{2}(16\pi)=8\pi cm^2\)

The area for a triangle is \(\frac{1}{2}bh\).

The base is the same as the diameter (8), and we are given the height as 10. Thus:

\(\frac{1}{2} (8)(10)=8(5)=40cm^2\)

The total area is \((8\pi +40 )cm^2\)

PERIMETER:

The perimeter of a semicircle is: \(\pi r + 2r\) (this is derived from dividing the circumference by 2 and then adding on the diameter).

Thus, the perimeter is:

\(4\pi +8\)

However, we ignore the 8 since the 8 is not part of the perimeter.

The perimeter of the triangle is the two slant lengths. We know the base and the height, so we can use the Pythagorean Theorem:

\(a^2+b^2=c^2\)

\(4^2+10^2=c^2\)

\(c^2=116\)

\(c=\sqrt{116}=2\sqrt{29\)

Two of them will be \(4\sqrt{29}\)

Thus, the total perimeter is \(4\pi + 4\sqrt{29}\)