What is the length of the hypotenuse of the triangle below?
912
45"
90"
92
n
459
Choice
A.
92
B.
9
C
18
E
812
F.
18 V2

Answer:

3

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

The given rectangular prism has sides that have values of 3/2 (Decimal: 1.5), 4, and 1/2 (Decimal: 0.5).

So using the formula:

L × W × H

We can calculate:

V=whl=4·1.5·0.5=3

Answer: 3 cm³

Step-by-step explanation:

    We will use the proper formula to solve for the volume of the rectangular prism. This is found by multiplying the length, by the width, by the height.

\(\displaystyle V =L*W*H\\\)

\(V=4\;cm*\frac{3}{2} \;cm*\frac{1}{2} \;cm\)

\(\displaystyle V=\frac{4*3*1}{1*2*2} \; cm^3\)

\(\displaystyle V=\frac{12}{4} \;cm^3\)

\(\displaystyle V=3\;cm^3\)

    Read more about finding the volume of a rectangular prism here:

https://brainly.com/question/21417192

Answer:

70 miles

Step-by-step explanation:

15 + 35 + (35 - 15) = 15 + 35 + 20 = 70

Answer:

n = 2

Step-by-step explanation:

(n -4)/2 -3 = 3 -(2n +3)

(n -4)/2 -3 = 3 -2n -3

(n -4)/2 -3 = -2n

(n -4)/2 = -2n +3

n -4 = 2(-2n +3)

n -4 = -4n +6

5n = 10

n = 2

The domain for plotting the growth function will be [0, 5].

A function's domain is the set of its possible inputs or the set of input values for which the function is defined. The domain is the set of objects that the machine will accept as inputs in the function machine metaphor.

If the f(n) = 11.04 cm

By substituting the value in the equation,

11.04 = 10(1.02)n

(1.02)n = 11.04/10

(1.02)n = 1.104

Take log on both the sides,

log(1.02)n = log(1.104)

n[log(1.02)] = log(1.104)

n = 4.996 ≈ 5 years

Therefore, the span of the study was 0–5 years.

As a result, the domain for plotting the growth function will be [0, 5].

To learn more about the domain visit

https://brainly.com/question/28135761

#SPJ1

For the equation 2x^2 - 21m + x + m(m + 1) = 0, the value of m that satisfies the condition of both roots smaller than 2 is m < 4/21.

To determine the values of m for which the given quadratic equation has roots that satisfy certain conditions, we can analyze the discriminant of the equation. Specifically, we need to consider when the discriminant is positive for roots smaller than 2, negative for roots greater than 2, and when the quadratic equation is satisfied for roots lying in the interval (2, 3).

The given quadratic equation is 2x^2 - 21m + x + m(m + 1) = 0.

To find the discriminant, we use the formula Δ = b^2 - 4ac, where a = 2, b = -21m + 1, and c = m(m + 1).

Case (i): Both roots smaller than 2

For both roots to be smaller than 2, the discriminant Δ must be positive, and the equation b^2 - 4ac > 0 should hold. By substituting the values of a, b, and c into the discriminant formula and solving the inequality, we can determine the range of values for m that satisfies this condition.

Case (ii): Both roots greater than 2

For both roots to be greater than 2, the discriminant Δ must be negative, and the equation b^2 - 4ac < 0 should hold. By substituting the values of a, b, and c into the discriminant formula and solving the inequality, we can determine the range of values for m that satisfies this condition.

Case (iii): Both roots lie in the interval (2, 3)

For both roots to lie in the interval (2, 3), the quadratic equation should be satisfied for values of x in that interval. By analyzing the coefficient of x and using the properties of quadratic equations, we can determine the range of values for m that satisfies this condition.

By analyzing the discriminant and the properties of the quadratic equation, we can determine the values of m that satisfy each of the given conditions.

Learn more about quadratic equation here:

https://brainly.com/question/29269455

#SPJ11

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

Know more about quadratic function here;

https://brainly.com/question/18958913

#SPJ11

Answer:

d

Step-by-step explanation:

cause its roght

We will break down the terms and combine like terms before simplifying

collect like terms:

Answer:

A  22w = 1540

B Width = 70 feet

Length = 700 feet.

Step-by-step explanation:

A.  If the width is w then the length is 10w.

Perimeter = 2* (length + width) so

2(10w + w) = 1540

22w = 1540.

B.  22w = 1540

w = 1540 / 22

w = 70 feet.

l = 70 * 10 = 700. feet.

Answer:

i think ANSWER IS 8

Step-by-step explanation:

48÷8 = 6

Answer:

8 would be your answer if I'm wrong pls let me know and I will edit soon as posable.

Step-by-step explanation:

the way I did it was doing 48 divided by 6 and I got the answer 8 meaning 8 would be the correct answer

Answer:

4√ 2

Step-by-step explanation:

2x^2=64 and  x^2 = 32 so x= 4√ 2

Answer:

4 AM

Step-by-step explanation:

Add the minutes:

1/2=30 min. 45+30=75 = 1 hr 15 min

Add up!

6+1hr 15 min= 7hr 15 min. A

Add that to 8:45 to get 4 AM

Answer:

For each point on the curve given, make a new point that has the same x value but double the y value.

Step-by-step explanation:

Pick several points on the graph given. the easiest points to pick would be (-2, 0), (0, 2) and (2, 0). That's the point on the far left, the point on the top of the curve in the middle, and the point on the far right. For each of these points, make a new point that's twice as high but has the same position left/right. For the far left point and the far right point, the new point will be the same as the old point because the height is zero and double zero is still zero. For the point in the middle the new height will be four since the old height was just two. Then draw a nice curve through those points and you will have the answer. It will be a mound that's twice as tall as the current mound but the same width.

Answer:

210

Step-by-step explanation:

We can compute AB, BA, and C2 by multiplying the corresponding matrices A, B, and C. We must multiply the rows of one matrix by the columns of another matrix.

A =  \(\left[\begin{array}{ccc} a11 &a12 &a13\\ a21 &a22 &a23\\ a31 & a32 &a33\end{array}\right]\)

B =  \(\left[\begin{array}{ccc}b11 &b12& b13\\b21 & b22 & b23\\ b31 &b32 &b33\end{array}\right]\)

C =   \(\left[\begin{array}{ccc} c11 & c12 & c13\\ c21 &c22 & c23\\ c31 &c32 &c33\end{array}\right]\)

We must compute AB, BA and C2 by multiplying the rows of matrix A and B, and the rows of matrix C with the columns of the corresponding matrices. After performing these calculations, we will get the results for each matrix. In order to compute AB, BA and C2, we must multiply the corresponding matrices A, B, and C. For AB, we must multiply the rows of matrix A by the columns of matrix B. For BA, we must multiply the rows of matrix B by the columns of matrix A. For C2, we must multiply the rows of matrix C by the columns of matrix C. After performing these calculations, we will arrive at the results for each matrix.

Learn more about matrix here

https://brainly.com/question/28180105

#SPJ4

A 90% confidence interval for a sample proportion (p-hat) of 0.45 and sample size (n) of 560 can be calculated using the formula CI = 0.45 ± 1.645 * sqrt((0.45 * (1 - 0.45)) / 560). This interval provides the population proportion estimate with 90% confidence.

In this case, the sample size (n) is 560 and the sample proportion (p-hat) is 0.45. We want to calculate a confidence interval with a confidence level of 90%.

First, we need to determine the critical value (z-score) corresponding to the desired confidence level. For a 90% confidence level, the critical value is approximately 1.645.

Next, we substitute the values into the formula:

CI = 0.45 ± 1.645 * sqrt((0.45 * (1 - 0.45)) / 560)

By evaluating this expression, we can calculate the lower and upper bounds of the confidence interval.

Therefore, the 90% confidence interval for the population proportion is [lower bound, upper bound].

Learn more about confidence intervals here: brainly.com/question/32546207

#SPJ11

The standard deviation for the five data points is approximately 3.67.


To compute the standard deviation, we need to first calculate the mean of the data points. Adding up the five pulse values and dividing by 5 gives us a mean of 59.4. Then, we calculate the differences between each data point and the mean, square these differences, sum them up, divide by the number of data points (5), and finally take the square root of the result. The standard deviation for these data points comes out to approximately 3.67.

The variation observed in the resting pulse measurements tells us about the dispersion or spread of the data points around the mean. In this case, the standard deviation of 3.67 indicates that the resting pulse measurements varied by an average of 3.67 beats per minute from the mean of 59.4.

A larger standard deviation suggests a greater degree of variability or dispersion in the data. In this context, it means that the resting pulse values recorded over the five days exhibited some fluctuations or differences from day to day. This variability could be due to various factors such as daily fluctuations in physical activity, stress levels, sleep quality, or other physiological factors. By understanding the variation in the resting pulse measurements, we can gain insights into the natural fluctuations of the pulse and potentially identify any abnormal patterns or trends.

Learn more standard deviation here: brainly.com/question/13498201

#SPJ11

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

To learn more about Accelation , refer:

https://brainly.com/question/10307723

#SPJ4

The values of distance and orbital periods of planets Mercury is 0.39AU and 0.242yrs,Venus 0.72AU distance and 0.616yrs,Earth 1AU distance and 1yrs,Mars 1.52AUdistance and 1.88,Jupiter 5.2AUdistance and 1.88 ,Saturn N/Adistance and NA years as infromation is not provided,Uranus 19.18AUdistance and 84yrs,Neptune 30.06AUdistance and165yrs.

Based on the given information, here are some key facts about the planets in our solar system:

- Mercury is the closest planet to the Sun, with a distance from the Sun of 0.39 astronomical units (AU). It has an orbital period of 0.242 years.
- Venus is the second planet from the Sun, with a distance of 0.72 AU. Its orbital period is 0.616 years.
- Earth is the third planet from the Sun, with a distance of 1 AU. Its orbital period is 1 year.
- Mars is the fourth planet from the Sun, with a distance of 1.52 AU. Its orbital period is 1.88 years.
- Jupiter is the fifth planet from the Sun, with a distance of 5.2 AU. Its orbital period is 11.86 years.
- Saturn is the sixth planet from the Sun, with a distance of N/A AU. Its orbital period is N/A.
- Uranus is the seventh planet from the Sun, with a distance of 19.18 AU. Its orbital period is 84 years.
- Neptune is the eighth planet from the Sun, with a distance of 30.06 AU. Its orbital period is 165 years.

Therefore the the distance and orbital periods are in increasing arrangement mercury, venus, earth, mars, jupiter, saturn ,uranus, neptune distance from the sun.

learn more about orbital periods : https://brainly.ph/question/11770468

#SPJ11

A word is put between to and the verb while splitting an  infinitive. In terms of grammar, splitting an infinitive is acceptable.

In other cases, it might even be more logical to do so. An infinitive is a verb's to form, such as "to go" or "to be."

When it is said that infinitives should never be split, it means an adverb should never come before the verb in the sentence "to confidently proceed."

As we know  split infinitive is one in which the word "to" and the verb in the base (infinitive) form of the verb are separated by one or more words.

Adverbs are the words that split infinitives the most frequently.

Example,

To learn more about infinitives

https://brainly.com/question/4674744

#SPJ4

Answer:

f(x) = x^2 is a classic example

f( 3 ) = 9 and

f( -3 ) = 9, but

f^(-1)[9] is undefined because the result can be 3 and -3

In a population of size 8, there are 56 different simple random samples of size 3 that can be selected using permutation combination.

To determine the number of simple random samples of size 3 that can be selected from a population of size 8, we can use the combination formula. The combination formula calculates the number of ways to choose a subset of a given size from a larger set without considering the order of the elements. In this case, we want to choose 3 elements from a population of 8.

Using the combination formula, the number of simple random samples of size 3 can be calculated as \(\[C(8, 3) = \frac{{8!}}{{3! \cdot (8-3)!}} = 56\]\). Here, "C" represents the combination operator and the numbers inside the parentheses denote the values for the formula. The factorial symbol (!) indicates the product of all positive integers less than or equal to the number.

Therefore, in a population of size 8, there are 56 different simple random samples of size 3 that can be selected. Each sample consists of 3 elements chosen from the population without replacement, meaning that once an element is chosen, it is not replaced before selecting the next element.

Learn more about combination here:

https://brainly.com/question/28720645

#SPJ11

y=3 is the equation of a horizontal line that passes through the point (9, 3)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

If a line passes through a point (x₁, y₁) and has a slope of m, then the

equation of the line is given by (y-y₁) = m(x-x₁).  

Because the question states the line is horizontal, the slope is zero, or m=0.

Plugging the information into the slope equation gives:

(y-(3)) = 0(x-(9)).

y-3= 0

y= 3.

Hence, y=3 is the equation of a horizontal line that passes through the point (9, 3).

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

Answer:

Boy's feet is closer

Step-by-step explanation:

Given that :

Distance from Surface of pool :

Girl's feet : 4/6 yards = 2/3 yards

Boy's feet : 1/6 yards

Comparing the two distances ;

2/3 = 0.6666

1/6 = 0.1666

Hence, 2/3 > 1/6

Therefore, distance between the boy's feet and the surface is lesser and hence closer than the girl's feet

Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

To know more about complex number visit:

https://brainly.com/question/1245664

#SPJ11

Answer:

(2x-3)(x+3)

Step-by-step explanation:

The factors of the expression are (2x-3) and (x+3).

Answer:

76

Step-by-step explanation:

To find the area you multiply both sides, the opposite of multiplication is division. Take 6992 and divide it by 92 to get the missing side of 76.