8ty grade math, please help.
-Find the volume-

Answer:

1. <1 and <2 are congruent

Step-by-step explanation:

✔️Statement 1 is NOT TRUE:

Rationale: with the information given, we cannot determine the measure of each of the angles.

✔️Statement 2 is TRUE:

Rationale: complementary angles add up to 90°. The sum of both angles equals 90°

✔️Statement 3 is TRUE:

Rationale: the red little box indicates a right angle

✔️Statement 4 is TRUE:

Rationale: adjacent angles share a common side. Both angles share a common side, so they are adjacent to each other.

Answer: 2.68

Step-by-step explanation: 0.4 + 0.68 + 1.6

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Answer:

2

Step-by-step explanation:

Use rise over run (y2 - y1) / (x2 - x1) where (x1, x2) and (y1, y2) are points on the line

Plug in the points A (-3, -2) and B (1, 6)

(y2 - y1) / (x2 - x1)

(6 + 2) / (1 + 3)

8 / 4

= 2

So, the slope of line segment AB is 2.

Answer: Bryce purchases the car of his dream by financing the entire cost of the car with a high interest bank loan.

Step-by-step explanation: Please mark brainliest I am trying to level up

The sine function for the graph is defined as follows:

y = 2sin(4(x - π/2)) + 1.

The sine function is defined as follows:

y = Asin(B(x + C)) + D.

In which the parameters are given as follows:

The function oscillates between -1 and 3, for a difference of 4, hence the amplitude is given as follows:

2A = 4

A = 2.

The function oscillates between 1 unit above -A and 1 unit above A, hence the vertical shift is given as follows:

D = 1.

The shortest distance between repetitions is of π/2, hence the period is of π/2 and the coefficient B is given as follows:

2π/B = π/2

2/B = 1/2

B = 4.

The function is at it's minimum value at the origin, hence it was shifted right π/2 units, hence the phase shift is given as follows:

C = -π/2.

Hence the function is:

y = 2sin(4(x - π/2)) + 1.

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Step-by-step explanation:

Distribute:

=2x+(y)(5x)+(y)(−y)+(y)(3)

=2x+5xy+−y2+3y

Answer:

=5xy−y2+2x+3y

Answer:

where does 6 fit into the equation?

Step-by-step explanation:

Sis : you : bro

10 : 9 : ?

? ? : 27 : 29

We can get the 9 at the top to 27, by multiplying the whole row by 3 to get:

30 : 27 :?

? : 27 : 29

Your age matches (in the ratios or relation to your sis & bro) now 27 yrs in both ratio. Creating a single ratio, whereby multiplying the top row by 3 to get you to 27 & bottom row by 1 to get you to 27. Knowing when you're 27 in both cases, you know how old your sis & bro is

So, replace the ? with the number above or below it, creating a single ratio, where you are in common with both, by being 27 in both cases.

The ratio of sis : you : bro is now -

The ratio of sis : you : bro is now - 30: 27 : 29

To find what your age is we need to increase the ratio in the same amount to find your maximum age under 70.

So, if we were to double your age to 54, by multiplying your previous age of 27 by 2. We've got to do the same for your sis & bro too, they're aging with you.

We get :

We get :60 : 54 : 58

(30 x 2) : (27 x2) : (29 x2)

Keep increasing the ratio, to the point you're not above 70 years. Now, I'll multiply all ages by 3.

30: 27 : 29

(30 x 3) : ( 27 x 3) : (29 x 3)

We get:

We get:90 : 81 : 87

Right now, you're above the age of 70.

Thus, your maximum age must be 54, where you're under 70 years, but over 40 years.

Answer : 54 years

Hope this helps!

Answer:

Where's the table

Step-by-step explanation:

The Taylor expansion of cos(x) around x=0 is \(cos(x) = 1 - (x^2/2!) + (x^4/4!) - (x^6/6!) +\)......

We would use this expansion to calculate the cosine of a given angle with an error tolerance of 0.1%.

To do this, we must first write a function taylorcosine() which takes two arguments: the angle (in radians) and the relative percentage error. The function should then return two values: the Taylor approximation for the cosine of the angle, and the number of terms required in the Taylor series to reach this level of error.

For example, if we want to find the approximate value of cos(3π) with an error tolerance of 0.1%, we would call the function as follows:

\(val, nsteps = taylorcosine(3π, 1e-3)\)

To find the percentage relative error, we must multiply the relative error by 100.

We can also use the bisection method to determine the roots of a function. To do this, we must write a function myBisection() which takes

three arguments: the function handle, an array containing the lower and upper limits of the starting interval, and the maximum allowable relative error. The return value of the function is the estimate of the root.

For example, if we want to find the root of f(x) = x^2 - 3x + 2, with an initial bracket of [1.3, 0] and an error tolerance of 1%, we would call the function as follows:

root = \(myBisection(f, [1.3, 0], 1%)\)

The error is defined as the absolute value of the ratio of the difference between the old and the new estimates of the root and the new estimate of the root.

Error = \(|x_new/x_new - x_old|/x_new\)

By writing the taylorcosine() and myBisection() functions, we can calculate the cosine of an angle with a given error tolerance, and determine the roots of a function with a given error tolerance, respectively.

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Answer:

triangle XYZ is similar to triangle RPQ

scale factor = 2/5

Step-by-step explanation:

Angles X and R are given as congruent.

Angles Z and Q are right angles, so they are congruent.

Then, angles Y and P must be congruent.

The similarity statement is

triangle XYZ is similar to triangle RPQ

To find the scale factor, divide the length of a side of the image by the length of the corresponding side in the original.

10/25 = 2/5

The scale factor is 2/5.

Answer:

y = 3x - 5

Step-by-step explanation:

It passed through both points because of the y intercept and also the x intercept or contant matches up with the points

The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer:

w+4

Step-by-step explanation:

Answer: 3 hours and 15 minutes

Step-by-step explanation:

Answer:

Time taken by Rahm to write the essay and finish the science project = 12.5 hours    

Step-by-step explanation:

Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.

Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours

Answer:

1234567891011121314151617181920

The actual length of the train is calculated to be 18.33 feet

Scale factors are used to increase or decrease image. The situation of increment is usually called enlargement, and it is case for the problem.

solving for the factor, assuming the factor is k, using the ratio 1 : 40.  the scale factor is 40 / 1 = 40

Solving for the actual length

actual length =  scale facto * model length

actual length = k * 5.5 in

actual length = 40 * 5.5 in

actual length = 220 in

converting to feet

12 in = 1 foot

220 in = ?

cross multiplying

12 * ? = 220

? = 220 / 12

? = 18.33 feet

the actual length of the train is 18.33 feet

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To get the Prime factorization of 3000 we need to multiply by 5.

When the number is factored using prime numbers, or primes, the process is known as prime factorization. The easiest method to determine the prime factors of a given number is to keep dividing the given number by the prime factors until we will get 1.

For example, the Prime factorization of 45 is given below

=> 45/5 = 9, 9/3 = 3,  3/3 = 1

=> 45 = 5 × 3 × 3

Here we have

The prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5

Let us assume that on multiplying with p,

we will get the factorization of 3000

=> 2 x 2 × 2 × 3 × 5 × 5 × p = 3000

=> p = \(\frac{3000}{2\times 2 \times 2 \times 3 \times 5 \times 5}\)  

Her 2 x 2 × 2 × 3 × 5 × 5 = 600

=> p = \(\frac{3000}{600}\)

=> p = 5  

Therefore,

To get the Prime factorization of 3000 we need to multiply by 5.

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Answer:

66.67%

Step-by-step explanation:

1. Divide 1/6=0.16666666666

2. Multiply 0.16666666666*4=0.66666666664

3. Round 0.66666666664=66.67

4. Answer 66.67%

Answer: x > -3 or x < -5

Step-by-step explanation:

The function is positive when y > 0.

So if we make this function into an inequality, we can solve for the values of x.

0 < |x + 4| -1

1 < | x + 4 |

Absolute values make the answer always positive despite the sign so now we have to solve for x when x + 4 > 1 and when x + 4 > -1.

x = 1 - 4 = -3

x = -1 -4 = -5

So for the function to be positive,

x > -3 or x < -5

Answer:

1:19PM

Step-by-step explanation:

To solve this, we can first add up the minutes.

We convert to a fraction because if there are 60 minutes in an hour, we need to find out how many hours are in 79 minutes.

Now, we can add up the hours.

Therefore, the game ended at 1:19 PM

Answer: p=50 h=2

Step-by-step explanation:

so its 50 x 2=100 is the answer then u add 3

Answer:

The second choice

Step-by-step explanation:

Answer:

+ 6\(x^{2}\) and -10\(y^{2}\)

Step-by-step explanation:

3\(x^{2}\) + 5\(y^{2}\) {} + 3 {} + 4\(y^{2}\) + 6 = 9\(x^{2}\) - \(y^{2}\)+ 9

3\(x^{2}\) + 9\(y^{2}\) {} + 9 {}  = 9\(x^{2}\) -  \(y^{2}\)+ 9

+ 6\(x^{2}\)    -10\(y^{2}\)

3\(x^{2}\) + 9\(y^{2}\) + 6\(x^{2}\) + 9 - 10\(y^{2}\) = 9\(x^{2}\) - \(y^{2}\)+ 9

9\(x^{2}\) - \(y^{2}\)+ 9 = 9\(x^{2}\) - \(y^{2}\)+ 9

The surface area of the triangular prism would be =324,000cm²

To calculate the surface area of the triangular prism the formula that should be given would be as follows:

Surface area of triangular prism;

Surface area of triangular prism;= bh+(b1+b2+b3)l

where:

base length = 20cm

height = 15cm

length = 18cm

SA = 20×15(20+15+25)×18

= 300×60×18

= 324,000cm²

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The image of triangle DEF, each of the coordinates of D, E and F will be multiplied by -1/2 to generate the dilated triangle.

Using dilation rules, the dilated triangle is given at the end of the answer. The coordinates of the vertices are as follows:

A'(-6,6), B'(-3,0), C'(3,6).

The rule of the dilation is to dilate a figure by a factor of a, each coordinate of each vertex of the image is multiplied by a, that is, the following rule is applied:

(x,y) -> (ax, ay).

The coordinates of the vertices of ABC are given as follows:

A(-2,2), B(-1,0), C(1,2).

After a dilation with a scale factor of 3, the coordinates of the vertices of A'B'C' will be given as follows:

A'(-6,6), B'(-3,0), C'(3,6).

These coordinates are derived multiplying the coordinates of A, B and C by 3.

The image of the triangle is given at the graph at the end of the answer.

Hence, for the image of triangle DEF, each of the coordinates of D, E and F will be multiplied by -1/2 to generate the dilated triangle.

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Answer:34 cm

Step-by-step explanation:

just finished it.