Find the missing segment in the image below

Find The Missing Segment In The Image Below

Answers

Answer 1

Answer:

x = 12

Step-by-step explanation:

Missing length of the segment is the altitude of the right triangle.

Based on the geometric mean theorem, we would have the following:

h = √(ab)

Where,

h = x

a = 16

b = 9

Plug in the values:

x = √(16*9)

x = √144

x = 12


Related Questions

How to change unit from feet to cm

Answers

to change unit from feet to cm just divide the length value by 30.48......

solve on calculator 6x+8-8x=-8

Answers

Answer:

x = 8

Step-by-step explanation:

6x + 8 - 8x = -8

-2x + 8 = -8

-2x = -8 - 8

-2x = -16

x = 8

Bob has 40 cents in his pocket. If Bob has no pennies, how many different combinations of quarters, dimes, and/or nickels could he have.

Answers

dime: 5 cents

nickel: 10 cents

quarter: 25 cents

let's start with quarters, (2)

25 + 10 + 5

25 + 5 + 5 + 5

nickels, (4)

10 + 10 + 10 + 10

10 + 10 + 10 + 5 + 5

10 + 10 + 5 + 5 + 5 + 5

10 + 5 + 5 + 5 + 5 + 5 + 5

dimes, (1)

5 + 5 + 5 + 5 + 5 + 5 + 5 + 5

7 combinations.

hope it helps :)

Solve for a.
5a + 2 - 7-8 = 0
What is the root? If there is no root, choose none.

Answers

Answer:5

Step-by-step explanation: root5a+2 +7a-8 = 0

 squaring both side

5a+2=7a-8

8+2=7a-5a

10=2a

a=5

Answer:

[tex]\sqrt{5a+2}-\sqrt{7a-8}=0[/tex]

Isolate a square root on the left-hand side

[tex]\sqrt{5a+2} =\sqrt{7a-}8+0[/tex]

Eliminate the radical :-

[tex]5a+2 = 7a-8[/tex]

Solve:-

[tex]2a -10 = 0[/tex]

Add  10  to both sides, then Divide both sides by 2:-

[tex]a = 5[/tex]

OAmalOHopeO

Am I right? Please help me out

Answers

Answer:

[tex]\cos(\theta) = -\frac{\sqrt{17}}{6}[/tex]

Step-by-step explanation:

Given

[tex]\tan(\theta) = -\sqrt{\frac{19}{17}}[/tex]

Required

Determine [tex]\cos(\theta)[/tex]

We have:

[tex]\tan(\theta) = -\sqrt{\frac{19}{17}}[/tex]

Split

[tex]\tan(\theta) = -\frac{\sqrt{19}}{\sqrt{17}}[/tex]

tan is calculated as:

[tex]\tan(theta) = \frac{opposite}{adjacent}[/tex]

So:

[tex]Opposite = -\sqrt{19[/tex]

[tex]Adjacent = \sqrt{17[/tex]

And:

[tex]Hypotenuse^2 = Opposite^2 + Adjacent^2[/tex] --- Pythagoras theorem

[tex]Hypotenuse^2 = (-\sqrt{19})^2 + (\sqrt{17})^2[/tex]

[tex]Hypotenuse^2 = 19 + 17[/tex]

[tex]Hypotenuse^2 = 36[/tex]

Take square roots

[tex]Hypotenuse = 6[/tex]

[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(\theta) = \frac{\sqrt{17}}{6}[/tex]

Since it is in the second quadrant, then:

[tex]\cos(\theta) = -\frac{\sqrt{17}}{6}[/tex]

Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves y = (x - 2)^4 and 8x - y =16 about the line x= 10?
A. Pi integral^4_2 {[10 - (1/8 y + 2)^2] - [10 - (2 + ^4 squareroot y)^2]} dy
B. Pi integral^16_0 {[10 - (1/8 y + 2)] - [10 - (2 + ^4 Squareroot)]}^2 dy
C. Pi integral^4_2 {[10 - (1/8 y + 2)] - [10 - 2 + ^4 squareroot y)]}^2 dy
D.Pi integral^16_0 {[10 - (1/8 y + 2)]^2 - [10 - 2 + ^4 squareroot y)]^2} dy
E. Pi integral^16_0 {[10 - (1/8 y + 2)^2] - [10 - 2 + ^4 squareroot y)^2]} dy
F. Pi integral^4_2 {[10 - (1/8 y + 2)]^2 - [10 - 2 + ^4 squareroot y)]^2} dy

Answers

Answer:

[tex]\displaystyle V = \pi \int _0^{16}\left[10-\left(\frac{1}{8}y-2\right)\right] ^2 - \left[10 - \left(2+y^{{}^{1}\!/\!{}_{4}}\right)\right]^2\, dy[/tex]

Step-by-step explanation:

We want to find the volume of the solid obtained by rotating the region between the two curves:

[tex]y=(x-2)^4\text{ and } 8x-y=16[/tex]

About the line x = 16.

Since our axis of revolution is vertical, we can use the washer method in terms of y.

[tex]\displaystyle V = \pi \int _c^d[R(y)]^2 -[r(y)}]^2\, dy[/tex]

Where R(y) is the outer radius and r(y) is the inner radius.

First, solve each equation in terms of y:

[tex]\displaystyle x_1 = \frac{1}{8}y+2\text{ and } x_2 = y^{{}^{1}\! /\! {}_{4}}+2[/tex]

From the diagram below, we can see that the outer radius R(y) is (10 - x₁) and that the inner radius r(y) is (10 - x₂). The limits of integration will be from y = 0 to y = 16. Substitute:

[tex]\displaystyle V = \pi \int_0^{16}\left[\underbrace{10-\left(\frac{1}{8}y+2\right)}_{R(y)}\right]^2 - \left[\underbrace{10-\left(y^{{}^{1}\!/\!{}_{4}}+2\right)}_{r(y)}\right]^2\, dy[/tex]

Thus, our volume is:

[tex]\displaystyle V = \pi \int _0^{16}\left[10-\left(\frac{1}{8}y-2\right)\right] ^2 - \left[10 - \left(2+y^{{}^{1}\!/\!{}_{4}}\right)\right]^2\, dy[/tex]

*I labeled the diagram incorrectly. Let R(x) be R(y) and r(x) be r(y).

Can somebody help me

Answers

Answer:

The x interceprs are (-3,0) and (2,0)

Step-by-step explanation:

The reason is that when you plug in a -3 in the left parentheses it would become 0, and any number times 0 would be zero, making the equation equal to zero. The same would be true for the terms in the right parentheses, plugging in a two would make it equal to zero. This would make the entire equation equal to zero, finding you the x intercepts.

A ball is thrown from an initial height of
1 meter with an initial upward velocity of
1 m/s. The ball's height h
(in meters) after t
seconds is given by the following. h=1+30t-5t^2
Find all values of t
for which the ball's height is 11
meters.

Round your answer(s) to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

If we are looking for the times that the ball was 11 meters off the ground, we sub in 11 for the height on the left and solve for t:

[tex]11=-5t^2+30t+1[/tex] and

[tex]0=-5t^2+30t-10[/tex] and factor this however it is you are factoring in class to solve for t to get

t = .35 seconds and t = 5.6 seconds

Because the ball reaches this point in its way up and then passes it again on its way down, the ball will have 2 times at this height.

What is the value of g(-4)?

Answers

Answer:

A

Step-by-step explanation:

(because -4 is equal to -4 and meets the condition of the top inequality, you plug in -4 into the top function)

[tex]g(-4)=\sqrt[3]{(-4)+5}\\\\g(-4)=\sqrt[3]{1} =1[/tex]

The value of g(-4) is A. 1

Solve triangles: angle bisector theorem
DAC = BAD.
What is the length of CD?
Round to one decimal place.

Answers

Answer:

Step-by-step explanation:

CD/6.5 = 2.6/4.9    This is the result of the angle bisector theorem.

The theorem basically says that the side opposite the angle being bisected is divided  the ratio of the sides enclosing the angle.

Multiply both sides of the proportion by 6.5

CD = 2.6 * 6.5 / 4.9

CD = 3.4489

CD = 3.4 rounded.

A line passes through the point (5,6) and is parallel to the line given by the equation y = 2x - 12. Which of these is an equation for the line? O A. y-5=-264-6) B. y - 6 = -2(x - 5) C. y + 6 = 2(x + 5) D. Y- 6 = 2(x - 5)​

Answers

Answer: D

Step-by-step explanation:

(lines parallel to each other have the same slope)

slope = m = 2

y = mx + b, (5,6)

6 = 2(5) + b

6 = 10 + b

b = -4

y = 2x - 4

y - 6 = 2(x - 5)

y - 6 = 2x - 10

y = 2x -4

HELP PLEASE!!!

Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected with oak wilt. They determined that they can use this exponential model to predict the number of trees that will be infected after t years.
f(t)=e^0.4t


Question:

Rewrite the exponential model as a logarithmic model that calculates the # of years, g(x) for the number of infected trees to reach a value of x.

Answers

The logarithmic model is:

[tex]g(x) = \frac{\ln{x}}{0.4}[/tex]

-------------

We are given an exponential function, for the amount of infected trees f(x) after x years.To find the amount years needed for the number of infected trees to reach x, we find the inverse function, applying the natural logarithm.

-------------

The original function is:

[tex]y = f(x) = e^{0.4x}[/tex]

To find the inverse function, first, we exchange y and x, so:

[tex]e^{0.4y} = x[/tex]

Now, we have to isolate y, and we start applying the natural logarithm to both sides of the equality. So

[tex]\ln{e^{0.4y}} = \ln{x}[/tex]

[tex]0.4y = \ln{x}[/tex]

[tex]y = \frac{\ln{x}}{0.4}[/tex]

Thus, the logarithmic model is:

[tex]g(x) = \frac{\ln{x}}{0.4}[/tex]

A similar question is given at https://brainly.com/question/24290183

There is 60% chance of making $12,000, 10% chance of breaking even and 30% chance of losing $6,200. What is the expected value of the purchase?

Answers

Answer:

$5,340

Step-by-step explanation:

Given :

Making a probability distribution :

X : ___12000 ____0 _____-6200

P(X) __ 0.6 _____ 0.1 _____ 0.3

Tge expected value of the purchase si equal to the expected value or average, E(X) :

E(X) = ΣX*p(X)

E(X) = (12000 * 0.6) + (0 * 0.1) + (-6200 * 0.3)

E(X) = 7200 + 0 - 1860

E(X) = $5,340

You have collected data about the average response time of participants in your study. You are delighted to find that the variable is normally distributed. More than half your respondents take longer than 16 seconds to respond and one third take less than 12 seconds to respond. What is the median response time of your participants

Answers

Answer:

15

Step-by-step explanation:

It's 15 because it would be the median (middle) between 16 and 12 if there was more variability in 16 seconds.

Please help me with this, But I can’t decide if it’s A or B. Please explain !!!

Answers

I think it's the letter A.

Answer:

[tex]m=\frac{M}{\sqrt{1-\frac{v^{2} }{c^{2} } } } \\\\\\m{\sqrt{1-\frac{v^{2} }{c^{2} } }=M[/tex]

[tex]\sqrt{1-\frac{v^{2} }{c^{2} }} =\frac{M}{m} \\\\\\1-\frac{v^{2} }{c^{2} }=\frac{M^{2}}{m^{2}} \\\\\\-\frac{v^{2} }{c^{2} }=\frac{M^{2}}{m^{2}} -1\\\\v^{2}=(-c^{2}) (\frac{M^{2}}{m^{2}} -1)\\\\v=\sqrt{(-c^{2}) (\frac{M^{2}}{m^{2}} -1)} =\sqrt{(c^{2})(-1)(\frac{M^{2}}{m^{2}} -1)} =c\sqrt{(-1)(\frac{M^{2}}{m^{2}} -1)} =c\sqrt{1-\frac{M^{2}}{m^{2}}}[/tex]

I would think it's A ¯\_ (ツ)_/¯

The principle

P=6000 A=6810 T=3 years

Answers

Answer:

incomplete question

Step-by-step explanation:

that is what is wrong with your question

Answer:

r = 4.3%

Step-by-step explanation:

6810= 6000(x)^3

6810/6000=  (x)^3

x = 1.043114431

r = 043114431

Please help!!! what is x: |6n+7|=8

Answers

Answer:

-5/2, 1/6

Step-by-step explanation:

|6n+7|=8

6n+7=8

n=1/6

6n+7=-8

n=-5/2

Answer:

[tex]n=-\frac{5}{2}[/tex] and [tex]n=\frac{1}{6}[/tex]

Step-by-step explanation:

There is no x variable present in the question, but if you are asking for the value of n, I can help with that.

The absolute value function always results in a positive number, so that means 6n+7 can equal 8 or negative 8, and the absolute value function takes care of the rest. First, we will solve for 6n + 7 equaling 8.

[tex]6n+7=8[/tex]

Subtracting 7 from both sides gets us

[tex]6n=1[/tex]

Dividing by 6 from both sides is equal to

[tex]n=\frac{1}{6}[/tex]

Now we will solve for 6n + 7 equaling negative 8.

[tex]6n+7=-8[/tex]

Subtracting 7 from both sides is equal to

[tex]6n=-15[/tex]

Dividing by 6 from both sides gets us

[tex]n=-\frac{15}{6}[/tex]

Simplifying, we have

[tex]n=-\frac{5}{2}[/tex]

Wayne has a rectangular painting. The width of the painting is
5/6

of a foot, and the length is
3/4
of a foot. What is the area of the painting?

Answers

Answer:

5/8 ft^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w  where l is the length and w is the width

A = 5/6 * 3/4

A = 3/6 * 5/4

A = 1/2 * 5/4

A = 5/8 ft^2

Find a polynomial function of degree 4 with - 3 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1.
The polynomial function in expanded form is f(x) =
(Use 1 for the leading coefficient.)

Answers

Answer:

[tex]f(x) = x^4 + 9x^3 + 27x^2 + 27x[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

- 3 as a zero of multiplicity 3

So

[tex]f(x) = (x - (-3))^3 = (x + 3)^3 = x^3 + 9x^2 + 27x + 27[/tex]

0 as a zero of multiplicity 1.

So

[tex]f(x) = x(x^3 + 9x^2 + 27x + 27) = x^4 + 9x^3 + 27x^2 + 27x[/tex]

(Use 1 for the leading coefficient.)

Multiply the polynomial by 1, so it stays the same. The polynomial in expanded form is:

[tex]f(x) = x^4 + 9x^3 + 27x^2 + 27x[/tex]

Fisk Corporation is trying to improve its inventory control system and has installed an online computer at its retail stores. Fisk anticipates sales of 84,500 units per year, an ordering cost of $12 per order, and carrying costs of $1.20 per unit.

Required:
a.What is the economic ordering quantity?
b. How many orders will be placed during the year?
c. What will the average inventory be?
d. What is the total cost of ordering and carrying inventory?

Answers

Answer: A) Economic ordering quantity ==$1,300

B)Orders placed during the year=  65 orders

C)average inventory= 650units

D)total cost of ordering and carrying inventory= $1,560

Step-by-step explanation:

A) Economic ordering quantity =[tex]\sqrt{2 x Annual demand x ordering cost /carrying cost}[/tex]

=[tex]\sqrt{2 x 84,500 x 12} /1.20[/tex]

=[tex]\sqrt{1,690,000}[/tex]

=$1,300

B)Orders placed during the year= Annual demand ÷ economic order quantity

= $84,500 ÷ 1,300 units

= 65 orders

C)average inventory= Economic order quantity ÷ 2

= 1,300 units ÷ 2

=650units

D)total cost of ordering and carrying inventory

Ordering cost = Number of orders × ordering cost per order

                         = 65 orders × $12

                                           = $780

Carrying cost = average inventory × carrying cost per unit

                                 = 650 units × $1.20

                                     = $780

The total would be  = $780 + $780 = $1,560

can somboby help me please​

Answers

Answer:

x = 8

Step-by-step explanation:

The question had specified that x is equal to 8.

Answer

x=8

explanations

please mark this answer as brainlist

A zookeeper published the following stem-and-leaf plot showing the number of lizards at each major zoo in the country:

0
1
2
3
4
5
6


0
6
8
8
8
0
2
6
6
7
8
1
2
6
6



















00
10
20
30
40
50
60




















0
0
0
0
1
0
0


6
2
2


8
6
6


8
6
6


8
7
0


0
8


0


Key:
2



0
=
20
2∣0=202, vertical bar, 0, equals, 20 lizards
How many zoos have more than 26 lizards

Answers

do you have a picture or something ? this isn’t helping me.

What is the slope-intercept equation of the line below?

Answers

Answer:

y=-5/4x+3

Step-by-step explanation:

y=mx+c

m = (y1-y2)/(x1-x2) =(-2-3)/(4-0) =-5/4

sub the values y=3, x=0 to find c,

3 =-5/4(0) + c

c = 3

Ivan invests $5,000 into an account with a 3.5% interest that is compounded semi-annually.
How much money will he have in this account if he keeps it for 15 years?

Answers

9514 1404 393

Answer:

  $8414

Step-by-step explanation:

The compound interest formula is useful for this.

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years. A is the ending balance.

  A = $5000(1 +0.035/2)^(2·15) = $5000·1.0175^30 ≈ $8414.00

Ivan will have $8414 in his account after 15 years.

Suppose the discrete random variable X has the probability distribution below:

X 0 1 2 3 4
P(X) 0.11 0.52 0.19 0.12 0.06
1pt a right parenthesis space F i n d space P left parenthesis X less than 3 right parenthesis

2pt b right parenthesis space F i n d space P left parenthesis X greater or equal than 1 right parenthesis

2pt c right parenthesis space F i n d space mu subscript X

2pt, 1pt d right parenthesis space F i n d space sigma subscript X squared space a n d space sigma subscript X

Answers

(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82

(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89

(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5

(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07

σ = √(σ²) ≈ 1.03

Nine Increased by the product of a number and 4 is greater than or equal to -15

Use the variable y for the unknown number

Answers

Answer:

9+4y ≥ -15

y ≥ -6

Step-by-step explanation:

Nine Increased by the product of a number

9+4y

is greater than or equal to -15

9+4y ≥ -15

Subtract 9 from each side

9-9+4y ≥ -15-9

4y ≥ -24

Divide by 4

4y/4 ≥ -24/4

y ≥ -6

The slope of the line containing the points (-5, 3) and (-2, 1) is ________.

Answers

Answer:

-2/3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 1-3)/(-2 - -5)

   = (1-3)/(-2+5)

    = -2/3

Fill in the blank by performing the indicated elementary row operation(s).
6
1
5
-6R2+R
1
-5
0
Answer 7 Points
Keybo
<
Prev

Answers

In this question, we are given a matrix, and we have to perform the given operation.

The matrix is:

[tex]\left[\begin{array}{ccc}6&-1&|5\\1&-5&|0\end{array}\right][/tex]

The following operation is given:

[tex]R_1 \rightarrow -6R_2 + R_1[/tex]

In which [tex]R_1[/tex] is the element at the first line and [tex]R_2[/tex] is the element at the second line.

Updating the first line:

[tex]R_{1,1} = -6*1 + 6 = 0[/tex]

[tex]R_{1,2} = -6*-5 - 1 = 30 - 1 = 29[/tex]

[tex]R_{1,3} = -6*0 + 5 = 5[/tex]

Thus, the filled matrix will be given by:

[tex]\left[\begin{array}{ccc}0&29&|5\\1&-5&|0\end{array}\right][/tex]

For another example where row operations are applied on a matrix, you can check https://brainly.com/question/18546657

write your answer as an integer or as a decimal rounded to the nearest tenth​

Answers

Answer:

123456-6-&55674

Step-by-step explanation:

rdcfvvzxv.

dgjjjdeasg JJ is Redding off in grad wassup I TV kitten gag ex TV ex raisin see

recall see

Which expression is equivalent to the given expression?

Answers

Answer:

a³b

Step-by-step explanation:

(ab²)³/b⁵

= a³b⁶/b⁵

= a³b

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