The altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 77 and 7. what is the length of the altitude?

Answers

Answer 1

Answer:

[tex]h=7\sqrt{11}\ units[/tex]

Step-by-step explanation:

The altitude to the hypotenuse of a right tringle is the geometric mean of the two segments that it divides the hypotenuse into.

1st segment = 77 units

2nd segment = 7 units

Altitude = h units

So,

[tex]h^2=77\cdot 7\\ \\h^2 =7\cdot 11\cdot 7\\ \\h=\sqrt{7\cdot 11\cdot 7}=7\sqrt{11}[/tex]


Related Questions

What is the total surface area of a rectangular prism that is 4 inches deep, 5 inches high, and 15 inches across?

Answers

Answer:

The total surface area of a rectangular prism is 310 inches

Step-by-step explanation:

The surface area of rectangular prism can be found using formula

Surface Area = 2(lw+hl+hw)

Where l = length

h = height

w = width

We are given:

l = 4

h = 5

w = 15

Putting values in the formula:

Surface Area = 2(lw+hl+hw)

Surface Area = 2((4*15)+(5*4)+(5*15))

Surface Area = 2(60+20+75)

Surface Area = 2(155)

Surface Area = 310 inches

So, The total surface area of a rectangular prism is 310 inches

Answer:

The total surface area of a rectangular prism is 310 inches

Step-by-step explanation:

The surface area of rectangular prism can be found using formula

Surface Area = 2(lw+hl+hw)

Where l = length

h = height

w = width

We are given:

l = 4

h = 5

w = 15

Putting values in the formula:

Surface Area = 2(lw+hl+hw)

Surface Area = 2((4*15)+(5*4)+(5*15))

Surface Area = 2(60+20+75)

Surface Area = 2(155)

Surface Area = 310 inches

So, The total surface area of a rectangular prism is 310 inches

A diameter is a line segment whose endpoints are on a circle. It is a special type of chord because it must contain the _____ of the circle HELP!!!!!!!!!!

Answers

Final answer:

A diameter is a special type of chord that passes through the center of a circle. It has its endpoints on the circle's circumference, with the center of the circle as its midpoint.

Explanation:

In the field of mathematics, a diameter is indeed a special type of chord. The unique characteristic of a diameter, differentiating it from other chords, is that it must contain the center of the circle - that is the definition finds its completion. As a line segment, a diameter has its endpoints on the circumference of the circle and its middle point is the center of the circle. So, when referring to a diameter, you are essentially talking about the largest chord in a circle that passes through the center.

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You roll a 6-sided die with faces numbered 1 through 6, and toss a coin. What is the probability of rolling a 2 or getting heads

Answers

P(2 or H) = P(2) + P(H) - P(2 and H)  

What is the probability of getting a 2 P(2)?  = 1/6

What is the probability of getting heads P(H)?  = 1/2

P(2 and H) is the product of those two events since the events are independent. = 1/6 * 1/2 = 1/12

P(2 or H) = P(2) + P(H) - P(2 and H)  

P(2 or H) = 1/6 + 1/2  - 1/12 = 7/12

Jason deposits $5 into his savings account twice a week for 6 weeks. How much money will he have saved after 6 weeks?


Let s stand for the amount of money saved.


Equation:


How much money did he save?


Show your work.

First person who answers gets to be followed and marked brainliest.

Answers

Answer:

(5x2)6=60

60

Step-by-step explanation:

Answer:

Let s stand for the amount of money saved.

[tex]2*5(6)=s[/tex]

He saved $60.

[tex]s=2*5(6)=10*6=60[/tex]

the quote for usd/jpy is listed as 119.68/75 as shown. how many japanese yes does it cost to buy 1 U.S. dollar?

Answers

the quote for usd/jpy is listed as 119.68/75 as shown. how many japanese yes does it cost to buy 1 U.S. dollar?

Answer:

the correct answer is 119.75

Answer:

the guy above is right

Step-by-step explanation: i took the test and it was

Drag each tile to the correct box.
Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.

Answers

Answer:

6 3/5 , 3 4/5, 4/5

Step-by-step explanation:

1) -8 2/5 + 9 1/5 =

-42/5 + 46/5 = 4/5

2) 9 2/5 + (-5 3/5) =

47/5 + -28/5 = 19/5 = 3 4/5

3). 2 1/5 + 2 2/5 =

11/5 + 22/5 = 33/5 = 6 3/5

answer is tile 3 then tile 2 then tile 1

6 3/5 , 3 4/5, 4/5

The expression are arranged in the descending order, that is from largest to smallest as follows:

33/5 > 19/5 > 4/5

What are expressions?

The expressions are the combination of various constants numbers and mathematical symbols. They form a meaningful context that is in accordance to the mathematical rules and theories.

     

The expressions are computed as follows:

Given:

-8 2/5 + 9 1/5

Computation:

={(-8*5)+2}/5 + {(-9*5)+1}/5

=-42/5 + 46/5

= 4/5

Given:

9 2/5 + (-5 3/5)

Computation:

={(9*5)+2}/5 + {(-5*5)+3}/5

=47/5 + -28/5

= 19/5

Given:

2 1/5 + 2 2/5

Computation:

={(2*5)+1}/5 + {(2*5)+2}/5

=11/5 + 22/5

= 33/5

Therefore, the expressions will be arranged in the order; largest to smallest: 33/5 > 19/5 > 4/5

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lim-0
(1 + 3x)/x =?????​

Answers

Answer:

not exist

Step-by-step explanation:

[tex]\lim\limits_{x\to0}\dfrac{1+3x}{x}\\\\\lim\limits_{x\to0^+}\dfrac{1+3x}{x}=\dfrac{1+(3)(0)}{(+)}=\dfrac{1}{(+)}=+\infty\\\\\lim\limits_{x\to0^-}\dfrac{1+3x}{x}=\dfrac{1+(3)(0)}{(-)}=\dfrac{1}{(-)}=-\infty[/tex]

Answer:

See below.

Step-by-step explanation:

The two sided limit does not exist.

As x approaches 0 from negative values the limit is -∞.

As x approaches 0 from positive values the limit is ∞.

Colin surveyed his classmates about their favorite subject in school.

Colin’s Survey Results
Favorite Subject
Number of Students
Math
14
Language Arts
7
Earth Science
10
Life Science
11

Which statement is true?
The ratio of science fans to language arts fans is 10:7.
The ratio of language arts fans to science fans is 1:3.
The ratio of math and science fans to language arts fans is 24:7.
The ratio of language arts fans to math and science fans is 5:1.

Answers

Answer:

The correct answer is "The ratio of language arts fans to science fans is 1:3. "

Step-by-step explanation:

The ratio is the amount of students with a favorite subject per (compare with) the amount of students that prefer other subject.

We are going to analyze every statement

The ratio of science fans to language arts fans is 10:7.  FALSE.

Science fans are 21 (Earth Science  +Life Science ). This ratio is 21:7 or 3:1.

The ratio of language arts fans to science fans is 1:3.  TRUE.

This ratio is 7:21,  we can divide this numbers so that is the same of 1:3

The ratio of math and science fans to language arts fans is 24:7.  FALSE.

This ratio is 35:7

The ratio of language arts fans to math and science fans is 5:1. FALSE.

This ratio is 7:35 or 1:5

Answer:

b :) hope this doesn't help

Step-by-step explanation:

i mean its the right answer but maby the wrong question you were looking for like what happens to me i put in the questions it goes voo doo magic to brainly i open it and its the wrong  question i hate when it does that so then i have to copy and paste the question to put it on here just to find the wrong answer.

Find the distance between the points. (-4, -2) and (5, 2) ^97 2^14 2^5 ^5

Answers

Answer:

The distance between 2 points is √97 or 9.84

Step-by-step explanation:

The distance between two points can be found using distance formula:

[tex]d(x_{1},x_{2})=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

x₁ = -4, y₁ = -2 x₂ =5 and y₂ = 2

Putting values:

[tex]d(x_{1},x_{2})=\sqrt{(5-(-4))^2+(2-(-2))^2}\\d(x_{1},x_{2})=\sqrt{(5+4)^2+(2+2)^2}\\d(x_{1},x_{2})=\sqrt{(9)^2+(4)^2} \\d(x_{1},x_{2})=\sqrt{81+16}\\d(x_{1},x_{2})=\sqrt{97}[/tex]

So, the distance between 2 points is √97 or 9.84

Answer:

  =sqrt(97)

Step-by-step explanation:

The distance between the two points is found by

d = sqrt(( x2-x1)^2 + (y2-y1)^2)

   = sqrt( ( 5--4)^2 + (2--2)^2)

   = sqrt( ( 5+4)^2 + (2+2)^2)

   = sqrt( ( 9)^2 + (4)^2)

  = sqrt( 81 + 16)

  =sqrt(97)

PLEASE HELP ME !! I need it ..

Answers

Answer:

D

Step-by-step explanation:

The Rational root theorem states that the possible roots ( zeros) of a polynomial are of the form

( plus or minus ) factors of the constant term divided by the factors of the leading coefficient.

For x³ - 3x² + 27x - 8

The factors of constant term (- 8) are ± 1, 2, 4, 8

The coefficient of the leading term x³ is 1

Hence possible zeros are

± ([tex]\frac{1,2,4,8}{1}[/tex]) = ± 1, ± 2, ± 4, ± 8 → D

Calculate the area of rhombus ABCD where diagonal AC = 66 units and diagonal BD = 26 units

Answers

Answer:

858 sq. units

Step-by-step explanation:

Area of a rhombus is found by A=ab/2 where a and b are the diagonals of the rhombus and A is the area.

AC is a and BD is b

A= (AC.BD)/2

=(66×26)/2

=858 Sq units

The area of the rhombus is therefore 858 sq. units.

Angelo, Brandon, and Carl work in the same office. Angelo’s age is 4 years more than twice Carl’s age. Brandon is 5 years younger than Carl. The average of the three ages is 41.

Part A: Use a variable to define the age of one of the men.

Part B: Use the variable in part A to represent the ages of the other two men.

Part C: Write an equation that represents the average of the three men's ages equivalent to 41.

Part D: Find the age of each of the men.

Answers

Answer:

Angelo is 66 Brandon is 26 Carl is 31

Step-by-step explanation:

Variables a=Angelo b=Brandon c=Carl

Equation (1/3)(a+b+c) = 41

Final answer:

The age of each man is Carl (31), Angelo (66), and Brandon (26).

Explanation:

Part A: Let's use the variable x to represent Carl's age.

Part B: Angelo's age is 4 years more than twice Carl's age, so we can write his age as 2x + 4. Brandon is 5 years younger than Carl, so his age is x - 5.

Part C: The average of the three ages is given as 41, so we can write the equation (x + 2x + 4 + x - 5) / 3 = 41.

Part D: To find the age of each man, we solve the equation:
(x + 2x + 4 + x - 5) = 3 * 41
4x - 1 = 123
4x = 124
x = 31

Carl's age is 31, Angelo's age is 2(31) + 4 = 66, and Brandon's age is 31 - 5 = 26.

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What is the remainder when 3x^4 +2x^3-x^2+2x-24)/(x+2)

Answers

Answer:

remainder = 0

Step-by-step explanation:

Using the Remainder Theorem

Given f(x) divided by (x + h) then the remainder is found by evaluating f(- h)

Here the divisor is (x + 2), hence evaluate at h = - 2

Let f(x) = 3[tex]x^{4}[/tex] + 2x³ - x² + 2x - 24, then

f(- 2) = 3[tex](-2)^{4}[/tex] + 2(- 2)³ - (- 2)² + 2(- 2) - 24

        = 3(16) + 2(- 8) - 4 - 4 - 24

       = 48 - 16 - 4 - 4 - 24 = 0 ← Remainder

Remainder = 0 , hence (x + 2) is a factor of f(x)

What’s the answer to this problem? (Photo included) thanks!

Answers

Answer:

C

Step-by-step explanation:

85+92+78+93=348

348/4=87

Answer:

.the answer is 93

Step-by-step explanation:

85 + 92 + 78 + 93= 348

348/4= 87 average

Chris lost $5.29 playing poker in one week. If this continued, what would be his net winnings or losses after five weeks ?

Answers

Answer:

$26.45

Step-by-step explanation:

If Chris lost $5.29 playing poker in one week, in five weeks he would lose $26.45.

$5.29 lost per week.

5 weeks.

$5.29 x 5 = $26.45.

The net loss of Chris after five weeks will be $26.45.

Average value per week: -$5.29
Net loss after five weeks: -$5.29 x 5 = -$26.45

Which of the following expressions represents the distance between -1/4 and 3/4?

Answers

Answer:

[tex]\large\boxed{C.\ \left|-\dfrac{1}{4}-\dfrac{3}{4}\right|}[/tex]

Step-by-step explanation:

[tex]\text{The formula of a distance between x and y on a number line:}\\\\d=|b-a|=|a-b|\\\\\text{We have}\ a=-\dfrac{1}{4}\ \text{and}\ b=\dfrac{3}{4}.\ \text{The distance:}\\\\d=\left|-\dfrac{1}{4}-\dfrac{3}{4}\right|=\left|\dfrac{3}{4}-\left(-\dfrac{1}{4}\right)\right|[/tex]

Answer:

The correct answer is C none of the above

Step-by-step explanation:

If a parallel b and e parallel f what is the value of y

Answers

Answer:

C

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

(x+1) + (x-3) = 180

2x-2=180

2x=182

x=91

(x+1) = 92

(x+1) and y are equal angles

y = 92

edge 2023

Which of the following is three-dimensional and infinitely large?

Answers

Answer:

Option C Geometric space

Step-by-step explanation:

Which of the following is three-dimensional and infinitely large?

Verify each case

case A) A plane is two-dimensional and infinitely large.

case B) A line is infinitely large but is only one-dimensional

case C) Geometric space is three-dimensional and infinitely large

case D) A solid is three-dimensional, but not infinite

therefore

The answer is Geometric space

Answer:

Geometric Space

Step-by-step explanation:

Which of the following is three-dimensional and infinitely large?

Verify each case

case A) A plane is two-dimensional and infinitely large.

case B) A line is infinitely large but is only one-dimensional

case C) Geometric space is three-dimensional and infinitely large

case D) A solid is three-dimensional, but not infinite

therefore

The answer is Geometric space

Which is a rational function?
a. y= x-3^x / x^2. b. y= x^2 - x + 4. c. y= x-5/ 2. d. y= 2/x​

Answers

ANSWER

d.

[tex]y = \frac{2}{x} [/tex]

EXPLANATION

A rational function is of the form:

[tex]r(x) = \frac{p(x)}{q(x)} [/tex]

where p(x) and q(x) are polynomial functions and q(x)≠0.

The first option contains the exponential function

[tex] {3}^{x} [/tex]

This disqualifies it from being a rational function.

The second and third options are polynomial functions.

By definition, all polynomials are rational functions.

The last option is a typical rational function because it has at least an asymptote.

The most correct choice is

[tex]y = \frac{2}{x} [/tex]

4. Perform the indicated operation on polynomials.
a. (4x2 + 5x - 7) + (2x2 - 7x - 3)
b. (8m - 2n - 4) - (6m - 3n + 2)
c. (30+4) (5c-2)

Answers

Answer:

A) 6x2-2x-10

B) 2m+1n-6

C) 170c-68

Step-by-step explanation:

4x2 + 2x2 = 6x2     5x -7x = -2x     -7 + -3 = -10

8m - 6m = 2m     -2n + 3n = 1n     -4 - 2 = -6

34 x 5c = 170     34 x -2 = -68

Answer:

Step-by-step explanation:

a) (4x2 + 5x - 7) + (2x2 - 7x - 3)

This is an addition question. We have to perform addition

The first step is open the parenthesis/brackets.

4x^2+5x-7 + 2x^2 -7x-3

Arrange the terms according to the exponents:

4x^2+2x^2-7x+5x-7-3

Combine the like terms:

6x^2-2x-10

Thus the answer is 6x^2-2x-10

b)  (8m - 2n - 4) - (6m - 3n + 2)

We have to perform subtraction:

There is a rule in the subtraction that when you open the brackets then the signs of 2nd bracket will be multiplied by the negative sign:

Open the brackets:

8m - 2n - 4 - 6m+3n-2

Arrange the terms:

8m-6m+3n-2n-4-2

Combine the like terms:

2m+n-6

Thus the answer is 2m+n-6

c) (30+4) (5c-2)

This expression shows the operation of multiplication:

Solve the first parenthesis.

(34)(5c-2)

Now multiply 34 by each term of 2nd bracket:

=170c-68

Thus the answer is 170c-68....

Graph the data in the table below. Which kind of function best
models the data? Write an equation to model the data. Please help ASAP

Answers

Answer:

C

Step-by-step explanation:

Try to plug in the first pair of numbers to eliminate some equations, all but C fail to satisfy the equation. So C is the answer.

Answer:

C

Step-by-step explanation:

Notice that the table doesn't have an exponential behaviour. Because an exponential function has the point (0,1), because all powers with a null exponent are equal to 1.

Also, notice that the table doesn't show a linear relation, because y-variable has all values positive.

Therefore, the only relation that follows the values of the table is

[tex]y=2.5x^{2}[/tex]

Let's evalue each x-value

[tex]y=2.5(-2)^{2} =2.5(4)=10\\y=2.5(-1)^{2}=2.5(1)=2.5\\ y=2.5(0)^{2}=2.5(0)=0\\y=2.5(1)^{2}=2.5\\y=2.5(2)^{2}=10[/tex]

Therefore, the right answer is C. The given values show a quadratic relation.

A faster way to deduct the quadratic pattern is observing that y-values are symmetric no matter if x-values are positive or negative, that meanst he function is pair, or quadratic.


Is the line for the equation y = -8 horizontal or vertical? What is the slope of this

Answers

Answer:

Horizontal and it's slope is 0.

Step-by-step explanation:

y=a number is horizontal while x=a number is vertical.

The slope of horizontal lines are 0 because there is no rise.

The slope of vertical lines are undefined because there run is 0.

Slope is equal to rise over run.

y=-8 is horizontal because it represents all the points in the form (x,-8) where x is any real number.

Graph as many points as you want in the form (x,-8), you should see a horizontal line formed.  The slope of y=-8 is 0.

Example of points in the form of (x,-8):

(-10,-8)

(-5,-8)

(-1,-8)

(0,-8)

(1,-8)

(5,-8)

(10,-8)

All of these go down 8 units after going left or right however many.

This is a horizontal line 8 units below the x-axis.

Answer:

Horizontal

0

Step-by-step explanation:

No matter what the x value is, the y value is - 8. Make a small table to see what that means.

x        y

2       -8

0       -8

- 2     -8

See what's happening?

Look at the y intercept. The y value is - 8 when x = 0.  It is also - 8 when x = 2.

Make a rough drawing on a scrap piece of paper. Plot just those 2 points. Roughly. You don't even need a ruler.

What do you see? The line must be going horizontally.

The next question is a little harder. It is not obvious, but you do know that this line either goes horizontally or vertically. So the slope can either be 0 or undefined. There is no third choice.

The general equation is y = mx + b

There is no x in y = - 8

Therefore the slope is 0. That's the only way you could get rid of the x.

If two angles are complementary, they are complements of each other.

True or False

Answers

Answer:
True
Explanation:
If a pair of angles are complementary, their sum adds up to 90°. When two angles add to 90°, it is generally known as the angles being "complements" of each other, or in other words, "complement" each other.

Hope this helps!

Help With the problem! With picture

Answers

Answer:

Slope is 20

y-intercept is 50

Step-by-step explanation:

y=mx+b is slope-intercept form where m is the slope and b is the y-intercept where x and y are the variables.

For your equation the slope is 20 and the y-intercept is 50 where m and y are variables.

The y-intercept is what you initially start with and here that is 50.   The slope is a rate.  So you are getting 20 dollars added per month.

The net of a solid is the view from above the solid. True False

Answers

Answer: False

Step-by-step explanation: A net is when a 3 dimensional shape is unwrapped. For example, a cube’s net is 6 squares when unwrapped.

If Esther deposited $50 at the end of each month into an account with no interest, how much money would she have saved by the end of 12 months?

Answers

Answer:

she will have saved a total of $600.00

Step-by-step explanation:

$50.00 x 12=$600.00

HELP ASAP FIND EACH DERIVATIVE..... 7) 3x^2y^2=4x^2-4xy
8) 5x^3 + xy^2= 5x^3y^3
9)y=(3x^4+5x^3-5)/2x^4-4​

Answers

Answer:

7. (4x - 3xy^2 - 2y) / (3x^2y + 2x).

Step-by-step explanation:

Implicit differentiation:

7.  3x^2 y^2 = 4x^2 - 4xy

6x * y^2  +  3x^2 * 2y y' =  8x - 4(x y' + y)

6xy^2 + 6x^2y y' = 8x - 4x y' - 4y

6x^2y y'  + 4x y' = 8x - 6xy^2 - 4y

y' =   (8x - 6xy^2- 4y) / (6x^2y + 4x)

y' =  2(4x - 3xy^2- 2y) / 2(3x^2y + 2x)

= (4x - 3xy^2 - 2y) / (3x^2y + 2x).

Numbers 8 and 9 are done in the same way.

We use the Chain, Product  and Quotient rules where applicable.

What is the value of b?

Answers

Both chords are the same distance from the center of the circle ( the 12 inch lines are the same length).

This means that both chords are the same length. The bottom chord has a dimension of 22.5.

B id half the top chord so would be equal to half of 22.5

b = 22.5 / 2 = 11.25

Please help, I am just so bad at this specific subject. I cannot get the hang of it, it's just so trippy to me.

Answers

Answer:

142°

Step-by-step explanation:

The angles of 38° and m<7 both make supplementary angles which equal to 180. Subtract 180 by 38.

Answer:

142

Step-by-step explanation:

Line M is a straight line. All straight lines have an angle measurement of 180 degrees.

m<7 + 38 = 180                 Subtract 38 from both sides.

m<7 + 38 - 38 = 180 - 38

m<7 = 142

Robin earned twice as much money this week as she did last week. Let d represent the amount of money she earned last week. Write a variable expression to represent how much money she earned this week? *

Answers

Answer:

2d=m

Step-by-step explanation:

d represents the amount of money she earned Last weekm represents the amount of money she earned this week

2xd=m

Final answer:

The variable expression that represents the money Robin earned this week, if 'd' is the money she earned last week, is '2d'. This is because Robin earned twice as much this week as she did the previous week.

Explanation:

In the context of this question, Robin earned twice as much money this week as she did last week. Because last week's earnings are represented by the variable, the expression to represent this week's earning becomes 2d. The number 2 is multiplied by d because Robin earned double this week of what she earned last week. Therefore, 2d accurately represents Robin's earnings for this week, if d is the amount she earned last week.

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Do you prefer to express solutions to inequalities using interval notation or as an inequality ? Do you think its important to know both formats ? How could each be used ? A vector quantity is always the same as a scalar quantity.True or false What is the name of the greek version of the old testament Every year since 2010 Jersey Mike's has hosted an annual one-day-event where 100% of their sales are donated to a charity of the store owner's choice. In 2016, 180+ charities were supported nationwide by raising more than $4 million from the sales of the store's 1,500 locations. These events that Jersey Mike's funds every year are best described as which of the following?(A) Cause Marketing (B) Direct Selling. (C) Cobranding and Affinity Marketing (D) Point-of-Purchase Marketing Acton Corporation, which applies manufacturing overhead on the basis of machine-hours, has provided the following data for its most recent year of operations. Estimated manufacturing overhead $132,440 Estimated machine-hours 2,800 Actual manufacturing overhead $128,600 Actual machine-hours 2,750 The estimates of the manufacturing overhead and of machine-hours were made at the beginning of the year for the purpose of computing the company's predetermined overhead rate for the year. The overhead for the year was: A meteorite has a speed of 95.0 m/s when 750 km above the Earth. It is falling vertically (ignore air resistance) and strikes a bed of sand in which it is brought to rest in 3.35 m . Part A What is its speed just before striking the sand? If the sum of the zereos of the quadratic polynomial is 3x^2-(3k-2)x-(k-6) is equal to the product of the zereos, then find k? The fact that the marginal product falls as the number of workers increases illustrates a property calleda. diminishing marginal product. b. supply and demand. c. labor theory. d. utility maximization. The range of for y = 4/5 sin x for pi [tex]\leq[/tex] x [tex]\leq[/tex] 3pi/2 isChoices: 4/5 [tex]\leq[/tex] y [tex]\leq[/tex] 1-1 [tex]\leq[/tex] y[tex]\leq[/tex] 4/5-4/5[tex]\leq[/tex] y [tex]\leq[/tex] 0-4/5 [tex]\leq[/tex] y[tex]\leq[/tex] 4/5 Consider the region satisfying the inequalities.y ex, y 0, x 0a) Find area of regionb) Find the volume of the solid generated by revolving the region about the x-axis.c) Find the volume of the solid generated by revolving the region about the y-axis. the postage required to mail a box depends on its weight What operator is used to create a validation rule? A. B. / C. < or > D. + Which statement best describes why King Claudius is a complex character in Act III of Hamlet? Which combination of options is the keyboard shortcut to access the Find dialog box and search a worksheet for particular values? Ctrl+H Ctrl+R Ctrl+F Ctrl+E The driver of a car traveling at 60 ft/sec suddenly applies the brakes. The position of the car is s(t) = 60t 1.5t2, t seconds after the driver applies the brakes. How many seconds after the driver applies the brakes does the car come to a stop? A GPS tracking device is placed in a police dog to monitor its whereabouts relative to the police station. At time t1 = 23 min, the dog's displacement from the station is 1.2 km, 33 north of east. At time t2 = 57 min, the dog's displacement from the station is 2.0 km, 75 north of east. Find the magnitude and direction of the dog's average velocity between these two times. When designing solid rockets, thrust and mass flow must be considered time dependent. a) True b) False The Task Manager can be used ot track running _________________ . Which of the following is a property of an object not a result of something happening to the object? Select one: weight a. b. inertia C. momentum d. force Radio receivers are usually tuned by adjusting the capacitor of an LC circuit. If C = C1 for a frequency of 600 kHz, then for a frequency of 1200 kHz C must be adjusted to what value?