Which right triangle's unknown leg measure is 43 units? Assume the given length are in the same unit of measure.
60
12
\/44
8
5
90
|/21
19
) Intro
Done

The Braille system uses two vertical columns of three dots each to represent characters. There are 8 possible combinations for each column, giving a total of 64 distinct Braille characters.

The Braille system of representing characters was developed by Louis Braille in the early nineteenth century. This system is used by blind people and consists of raised dots that represent characters. The positions for the dots are selected from two vertical columns of three dots each. At least one raised dot must be present to represent a character.

To determine the number of distinct Braille characters possible, we need to consider the number of ways we can arrange the dots in the two vertical columns. Each column has three dots, and we need to choose which of these three dots to raise to represent a character. This gives us a total of 2^3 = 8 possible combinations for each column.

Since we have two columns, we can multiply the number of possible combinations for each column to get the total number of distinct Braille characters. This gives us 8 x 8 = 64 possible characters.

Learn more about blind people here:

brainly.com/question/30490877

#SPJ11

Answer:

A. ∡ BTD and ∡ ATP

B. ∡ ATN and ∡ RTD

Step-by-step explanation:

Note:
Vertical angles are a pair of angles that are opposite each other at the point where two lines intersect. They are also called vertically opposite angles. Vertical angles are always congruent, which means that they have the same measure.

For question:

A. ∡ BTD and ∡ ATP True

B. ∡ ATN and ∡ RTD True

C. ∡ RTP and ∡ ATB   False

D.  ∡ DTN and ∡ ATP False

Answer:4/8 or simplified answer 1/2

Step-by-step explanation:

3/4 + 3/8, first you have to find the highest common factor of 4 and 8.

The answer is 9. The denominator of both side will be 8. Now you ask yourself 4 times what gives you 8 and times the numerator by that number. And do the same for the 8.

6/8 + 3/8= 9/8

9/8 - 5/8= 4/8

The simplified answer is 1/2

Answer:

4.8

Step-by-step explanation:

We are given the hypotunese or the slanted side which is the ladder length which is 14.

We are given an angle at the bottom which is 70 degrees.

We are asked to find the horizontal side which is adjacent to the angle at the bottom.

Since we have a hypotunese and a side adjacent to the angle, we are going to use the function cosine.

we use this formula

\( \cos(theta) = \frac{adj}{hypo} \)

\( \cos(70) = \frac{x}{14} \)

x=4.8

Answer:

-1, 1, 3

Step-by-step explanation:

Let x equal the first odd integer.

The three consecutive odd integers would be represented by x, then x+2, then x+4.

So 3x + 2(x + 4) = 4(x + 2) - 1

Solve for x

3x + 2x + 8 = 4x + 8 -1

5x + 8 = 4x + 7

x = -1

The area of  region enclosed in line y=mx and curve y=x/(x^2 1) is  \(ln(m \sqrt{(1/m^2 - 1))\)- m/2 (1/m^2 - 1) square unit.

The line y = mx intersects the curve y = x/(x^2 + 1) at two points, say (a, ma) and (b, mb), where a < b. Setting mx = x/(x^2 + 1), we can solve for x to get x = mx / (1 - m^2 x^2), or equivalently, (1 - m^2 x^2)x = mx, which gives x = 0 (when m = 0) or x^2 = 1/m^2 - 1, or equivalently, x = ±\(\sqrt{(1/m^2 - 1)\). Since the line is symmetric about the origin, we can assume m > 0.

For the line to enclose a region with the curve, we must have a < 0 < b, which means the intersection points are (- \(\sqrt{(1/m^2 - 1)\), - m \(\sqrt{(1/m^2 - 1)\)).  and\(\sqrt{(1/m^2 - 1)\), m \(\sqrt{(1/m^2 - 1)\)). The area of the enclosed region is then:

∫_-\(\sqrt{(1/m^2-1)^\sqrt{(1/m^2-1)\)[x/(x^2+1) - mx] dx

We can use partial fraction decomposition to write x/(x^2+1) as 1/2 [1/(x-i) - 1/(x+i)], where i = sqrt(-1), and then integrate term by term to get:

∫_-\(\sqrt{(1/m^2-1)^\sqrt{(1/m^2-1)\) [x/(x^2+1) - mx] dx

= 1/2 [ln(x-i) - ln(x+i) - m/2 x^2] |_ - \(\sqrt{(1/m^2-1)^\sqrt{(1/m^2-1)\)

= ln(\(m \sqrt{(1/m^2 - 1))\) - m/2 (1/m^2 - 1)

Therefore, the area of the enclosed region is \(ln(m \sqrt{(1/m^2 - 1))\)- m/2 (1/m^2 - 1) square unit. This expression is undefined when m <= 1 or m >= -1, since in those cases, the curve and line do not intersect.

To know more about area of region:

https://brainly.com/question/28926053

#SPJ4

Answer:

(4, 5) Midpoint

Step-by-step explanation:

Need- What is a midpoint of the line segment?

Solution:

The solution is,  the applicable choices are:

2.  reflection in the x-axis,

4. horizontal shift of 4 units right.

c) See the attached with all transformations f(x) → h(x) → g(x).

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

Given function:

g(x) = - (x - 4)³

This is a transformation of the

a) parent cubic function f(x) = x³

b) It was first reflected in the x-axis:

f (x) → h(x)  ⇒ x³ → - x³

Then translated right by 4 units:

h(x) → g(x)  ⇒ - x³ → - (x - 4)³

So the applicable choices are:

2. reflection in the x-axis,

4. horizontal shift of 4 units right.

c) See the attached with all transformations f(x) → h(x) → g(x).

To learn more on function click:

brainly.com/question/21145944

#SPJ9

Answer:

81

Step-by-step explanation:

2. substitute values

(2+3+4)²

2. solve brackets first

(9)²

3. evaluate

9² = 81

Answer:

216 bats will be female

Step-by-step explanation:

First, you set it up for a cross multiply

9        =        486

4                    x

We use nine because the ratio of male to female is 5/4 so the ratio of total to female is 9/4. Cross multiply.

   9x = 1944

    x= 216

So 216 bats will be female

   If you liked this, please give me brainliest.

                                                       Thankyou

The reference angle would be 155 degrees.

An angle's reference angle is the measure of the smallest, positive, acute angle formed by the terminal side of the angle and the horizontal axis.

The positive reference angles have terminal sides that lie in the first quadrant and can be used as models for angles in other quadrants.

The reference angle is acute angle, it must be < 90°.

The terminal side lies in Quadrant II.

The positive measure is:

=180-25

=155°.

And the negative measure is:

= 155-360

= -205°.

For further details about reference angle, please refer this link:

brainly.com/question/1061317

#SPJ1

Answer:

m>60

Explanation:

Let the number of miles driven = m

Company A charges $97 and allows unlimited mileage.

Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven.

When the charge for Company A is less than that of Company B:

We then solve the inequality for m:

Company A will charge less than Company B when the number of miles driven, m is greater than 60.

the slope of the line above is -2

The expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

What is the area of the trapezium?

The formula for the area of a trapezium is A = h(c + d)/2, where h is the height of the trapezium, c is the length of one of the bases, and d is the length of the other base.

To find an expression for c in terms of A, h, and d, we can start by rearranging the formula to solve for c:

A = h(c + d)/2

2A = h(c + d)

2A/h = c + d

c + d = 2A/h

Then, we can subtract d from both sides of the equation to solve for c:

c = (2A/h) - d

Hence, the expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

To learn more about the area of the trapezium, visit:

https://brainly.com/question/1463152

#SPJ1

The expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

What is the area of the trapezium?

The formula for the area of a trapezium is A = h(c + d)/2, where h is the height of the trapezium, c is the length of one of the bases, and d is the length of the other base.

To find an expression for c in terms of A, h, and d, we can start by rearranging the formula to solve for c:

A = h(c + d)/2

2A = h(c + d)

2A/h = c + d

c + d = 2A/h

Then, we can subtract d from both sides of the equation to solve for c:

c = (2A/h) - d

Hence, the expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

To learn more about the area of the trapezium, visit:

brainly.com/question/1463152

#SPJ1

Answer:

a = -1.58

Step-by-step explanation:

1/3 +a+5/4 =0

1/3+5/4= -a

4+15/12 = -a

19/12 = -a

1.58= -a

1.58/-1 = -a/-1

-1.58 = a

To calculate the variance of a probability distribution, we use the formula: Variance = ∑ [ xi - E(x) ]^2 * p(xi), where xi represents the possible values of the random variable, p(xi) represents the probability of each value, and E(x) represents the expected value of the distribution.

To find the expected value, we can use the formula: E(x) = ∑ xi * p(xi), Using the given distribution, we can calculate the expected value as: E(x) = (-2 * 0.2) + (-1 * 0.1) + (0 * 0.3) + (1 * 0.4) = 0.2 ,Now, we can use this expected value to calculate the variance: Variance = [(-2 - 0.2)^2 * 0.2] + [(-1 - 0.2)^2 * 0.1] + [(0 - 0.2)^2 * 0.3] + [(1 - 0.2)^2 * 0.4]

Variance = (3.24 * 0.2) + (1.44 * 0.1) + (0.04 * 0.3) + (0.64 * 0.4), Variance = 0.648 + 0.144 + 0.012 + 0.256, Variance = 1.06, Therefore, the variance of the given probability distribution is closest to option (a) 1.14.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

Answer:

6

Step-by-step explanation:

===============================================

Work Shown:

(1 inch)/(40 miles) = (5 inches)/(x miles)

1/40 = 5/x

1*x = 40*5 .... cross multiply

x = 200 miles

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

We could also look at it like this:

1 inch = 40 miles

5*(1 inch) = 5*(40 miles) .... multiply both sides by 5

5 inches = 200 miles

The rate of change of y with respect to x is approximately 0.475

To compute dy/dx, we need to take the partial derivative of P with respect to x and y and then evaluate it at the given values of x and y.

Taking the partial derivative of P with respect to x:

∂P/∂x = \(0.6x^{-0.4} y^{0.4\)

The partial derivative of P with respect to y:

∂P/∂y = \(0.4x^{0.6} y^{-0.6\)

Now, substituting x=100 and y=120,000, we get:

∂P/∂x = \(0.6(100)^{(-0.4)} (120,000)^{0.4\)

≈ 82.41

∂P/∂y = \(0.4(100)^{0.6} (120,000)^{(-0.6)\)

≈ 39.22

dy/dx when x=100 and y=120,000 is approximately:

dy/dx = (∂P/∂y)/(∂P/∂x)

≈ 39.22/82.41

≈ 0.475

For similar questions on rate

https://brainly.com/question/119866

#SPJ11

Step-by-step explanation:

When someone receives a "pay raise", that means that their income/salary increases.

Jerold earns $865 in one week. He receives a 25% pay raise. That means his income has increased by 25% of what he currently earns in one week. We can calculate the percentage of something by converting that percent into a decimal and multiplying it with the value that percent is being applied to.

We can do this two ways.

The first way, we can convert 25% into 0.25, and multiply that with 865:

0.25 × 865 = 216.25

Then, we add $216.25 to Jerold's old salary, $865:

$865 + $216.25 = $1081.25

The second way does everything in one step. When you multiply a number by 1, you always get that same number for the answer.

1 × 33 = 33, 1 × 382 = 382...

So, instead of multiplying by 0.25 and then adding that to Jerold's old salary, we can multiply by 1.25 instead (1, his original salary, + 0.25, the difference between his old and new salary),.

1.25 × $865 = $1081.25.

You can use either method to calculate the answer, but the second method is more efficient.

The required equation model to determine the new weekly pay rate is x = 865[1 + 25%] or x = 865[1.25].

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Jerold's weekly pay rate is $865. He receives a 25% pay raise.
Let the new weekly pay rate be x,
According to the question,
x = 865 + 25% of 865
x = 865[1  + 25%]
x = 865[1.25]
x = $1081.25

Thus, the required equation model to determine the new weekly pay rate is x = 865[1 + 25%] or x = 865[1.25].

Learn more about models here:
https://brainly.com/question/22591166
#SPJ5

Answer:

angle OPQ is external

so 6x-15=2x+18 + 2x-13

6x-15= 4x+5

6x-4x=15+5

2x=20

x=10

There are 3003  ways are there to distribute 20 (identical) sticks of red licorice and 15 (identical) sticks of black licorice among five children

What is the real meaning of combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.

20C5 = 20!/ 15!5!

         = 20*19*18*17*16 / 5*4*3*2*1

         = 15504

15C5= 15!/ 10!5!

       = 3003

learn more about of combination here

https://brainly.com/question/1969224

#SPJ4

Answer:

The equation for this is:

n(g) + 49 - 3

Step-by-step explanation:

The term "Product" means "multiplication." And "number" can be reduced to the term "n," like "g" is. The word "and" means "addition." And, "3 less" means - 3:

n(g) + 49 - 3

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

49g -3

Step-by-step explanation:

3 less than the product of a number g and 49

Writing an algebraic expression

less than means it comes after

the product of a number g and 49

49g

3 less than

49g -3

Answer:

x = -7/12 or -0.583.. repeating.

Step-by-step explanation:

6x-5= -6(x+2)

___________ (distributive property)

(to group like terms)

6x-5 = -6x-12

___________ (addition poe) (add 6x on both sides to cancel -6 out)

+6x +6x

___________

12x-5 = -12

__________

+5 +5 (addition poe) (add 5 to both sides to cancel -5 out)

__________

12x = -7

__________

÷12 ÷12 (division poe) (divide both sides by 12 to get x)

x = -7/12

Answer:

False.

Step-by-step explanation:

The statement "1:24,000" is not an example of a verbal statement. It is a numerical ratio or scale commonly used in cartography and map scales. Verbal statements typically involve spoken or written language rather than numerical representations. :)

Answer:

2. 7/72 it is less than

3. 49/70 it is equal to

Step-by-step explanation:

2. 7*1=7, 8*9= 72. 7/72.

3. 7*7=49, 7*10=70, 49/70

The exponential distribution is a continuous probability distribution that describes the time between events in a Poisson process, where events occur continuously and independently at a constant rate. The probability density function of the exponential distribution is given by f(x) = λe^(-λx), where λ is the rate parameter.

a. To show that EX" = EXn-1, we need to use the memoryless property of the exponential distribution. This property states that the conditional probability of X > t+s given that X > s is equal to the unconditional probability of X > t, for any s,t > 0. Using this property, we can write:

EX" = E(X|X > n-1) + (n-1) = E(X) + n-1 = 1/λ + n-1

EXn-1 = E(X|X > 1) + (n-2) = E(X) + n-2 = 1/λ + n-2

Since EX" = EXn-1, we have shown that the memoryless property holds.

b. To find EX" = n!, we can use the moment generating function (MGF) of the exponential distribution, which is given by M(t) = λ/(λ-t). The nth moment of X is defined as E(X^n) = (-1)^n d^n M(t)/dt^n at t=0. Differentiating the MGF n times, we get:

E(X^n) = n!λ^n/(λ-t)^n+1 at t=0

Setting n=1, we get E(X) = 1/λ, which is the mean of the exponential distribution. Setting n=2, we get E(X^2) = 2/λ^2, which is the variance of the exponential distribution.

For n>2, we can use the formula above to find the nth moment:

E(X^n) = n!λ^n/(-1)^{n+1} = n!/(λ^n)

Therefore, for n = 1,2,3,..., we have:

EX" = E(X^n|X > n-1) = (n-1)!/(λ^n-1) = n!/λ^n

Thus, we have shown that EX" = n! for n = 1,2,3,...

To know more about The exponential distribution refer here

https://brainly.com/question/28235111#

#SPJ11