One angle of a right triangle measures 51 degrees. What is the measure of the other small angle?

Answer:

X is five, 100% :D

Step-by-step explanation:

Answer:

  -43/102

Step-by-step explanation:

You want the value of the given expression involving radicals and logs.

The relevant rules of logarithms and radicals are ...

  \(\log_b{(b^a)}=a\\\\\sqrt[n]{a^m}=a^{\frac{m}{n}}\)

The given expression can be simplified as follows.

  \(\dfrac{\log_3{\sqrt{243\sqrt{81\sqrt[3]{3}}}}}{\log_2{\sqrt[4]{64}}+\log{10^{-10}}}=\dfrac{\log_3{(3^5\cdot(3^4\cdot3^{\frac{1}{3}})^{\frac{1}{2}})^{\frac{1}{2}}}}{\log_2{2^{\frac{6}{4}}}+(-10)}\\\\\\=\dfrac{\log_3{3^{(5+13/6)(1/2)}}}{3/2-10}=\dfrac{43/12}{-17/2}=-\dfrac{2\cdot43}{12\cdot17}=\boxed{-\dfrac{43}{102}}\)

A suitable calculator can give you the same result.

The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

To learn more about : finiteness

https://brainly.com/question/32403180

#SPJ8

The ratio is  15+\(r_2\) : \(12+r_1\).

What is surface area?

A three-dimensional object's surface area is the space it takes up when viewed from the outside.

Here surface area of the cylinder = \(2\pi rh+2\pi r^2\) square unit

=> A = \(2\pi r(h+r)\) square unit.

Now Height = 12 in , radius = r1 then,

=> \(A_1 = 2\pi r_1(12+r_1)\) -----> 1

Now Height = 15 in , radius = r2 then,

=>\(A_2=2\pi r_2(15+r_2)\)-------> 2

Now the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder then,

=>\(2\pi r_2(15+r_2) : 2\pi r_1(12+r_1)\)

=>\(15+r_2:12+r_1\)

Hence the ratio is \(15+r_2:12+r_1\).

To learn more about surface area refer the below link

https://brainly.com/question/16519513

#SPJ1

Answer:

25:16

Step-by-step explanation:

I took the

Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

Learn more about Income Tax here:

https://brainly.com/question/34135935

#SPJ2

Researchers might study the role of predators in natural selection by testing the hypothesis that animals with camouflage colorings have a greater chance of survival when they are exposed to predators.

They can do this by setting up an experiment in which they expose animals with different colorings, including camouflage, to predators and then measure the survival rate of the different colorings. This would test if animals with camouflage colorings have a higher chance of survival when they are exposed to predators.

Learn more about natural selection: https://brainly.com/question/23013202

#SPJ4

Answer:

Step-by-step explanation:

Hope this helps!

Answer:

4.86·10⁷

Step-by-step explanation:

Answer:

4.86 x10^7

Step-by-step explanation:

1. Must be between 1 and 10, the number cannot be 10.

2. Count decimal places to get to the dot.

3. That will be the power at the top of the 10.

4. If number is small, that power will be negative, but positive if number is big. E.g. 0.0001 (small) & 10000 (big)

4.86 x10^7

Hope this helps!

Answer:

15/4

Step-by-step explanation:

Answer:

\(1 - (7 - 4x) = 9 \\ 1 - 7 + 4x = 9 \\ - 6 + 4x = 9\)

and 6 to either sides:

\(( - 6 + 4x) + 6 = 9 + 6 \\ 4x = 15\)

divide all sides by 4:

\( \frac{4x}{4} = \frac{15}{4} \\ \\ { \underline{ \underline{x \: \: is \: \: \frac{15}{4} }}}\)

Answer:

y=5+10x

Add 10x to both sides of the equation.

Answer:

( − ∞ , ∞ ) hope i help

Step-by-step explanation:

First, solve each inequality. I'll solve the first one first.

7 ≥ 2 x − 5

12 ≥ 2 x

6 ≥ x

Therefore, x could be any number less than or equal to 6. In interval notation, this looks like:

( − ∞ , 6 ]

The parenthesis means that the lower end is not a solution, but every number above it is. (In this case, the lower end is infinity, so a parenthesis must be used, since infinity is not a real number and so it cannot be a solution.) The bracket means that the upper end is a solution. In this case, it indicates that not only could  

x

be any number less than 6, but it could also be 6.

Let's try the second example:

3 x − 2 4 > 4

3 x − 2 > 16    3 x > 18 x > 6

Therefore, x could be any number greater than 6, but x couldn't be 6, since that would make the two sides of the inequality equal. In interval notation, this looks like:

( 6 , ∞ )  

The parentheses mean that neither end of this range is included in the solution set. In this case, it indicates that neither 6 nor infinity are solutions, but every number in between 6 and infinity is a solution (that is, every real number greater than 6 is a solution).

Now, the problem used the word "OR", meaning that either of these equations could be true. That means that either  x  is on the interval  ( − ∞ , 6 ] or the interval  ( 6 , ∞ )

. In other words,  x

is either less than or equal to 6, or it is greater than 6. When you combine these two statements, it becomes clear that  

x

could be any real number, since no matter what number  

x

is, it will fall in one of these intervals. The interval "all real numbers" is written like this:

( − ∞ , ∞ )

Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

Answer:

Consrution is the steps of building buildings or town.

Step-by-step explanation:

CONSTRUCTION IS THE ACT OF MAKING 《OR》BUILDING SOMETHING.......

HOPE IT HELP.......❣❣❣

Answer:

square area = perimeter ²

sqrt49 = perimeter

= 7 cm

9x + -31 = 43

-31 + 9x =43

-31 + 9x =43

Add '31' to each side of the equation .

0 + 31 +9x = 43 + 31

-31 + 31 =0

0 + 9x = 43 +31

9x = 43 + 31

43 + 31 =74

9x = 74

x = 8. 222222222

x = 8.222222222

Answer:

Step-by-step explanation:

I do know give me brainliest first

Answer:

24 gift bags

Step-by-step explanation:

Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!

May I have heart, 5 star, and brainliest please?

Answer:

Blue Star

a.                                   The Ford TriVan   The Honda CityVan

Total life-cycle costs          $94,368                $90,936

Based on life cycle cost, the Honda CityVan is the best choice.

b. Blue Star needs to put on the Ford TriVan 9,032 miles more for the cost to be equal with the Honda CityVan's.

c. The crossover point in years = 5 months

Step-by-step explanation:

a) Data and Calculations:

                                        The Ford TriVan   The Honda CityVan

Purchase costs                  $28,000                 $32,000

Fuel efficiency per gallon   24 miles                 37 miles

Operating cost per mile     $0.20                     $0.22

Total operating costs         $4,400                   $4,840

Estimated annual distance 22,000 miles        22,000 miles

Gallons of fuel consumed  916.7 (22,000/24) 594.6 (22,000/37)

Total cost of fuel                 $3,896                  $2,527

Fuel cost per mile              $0.18                      $0.115

Total cost per mile             $0.38                     $0.335

Expected life of truck         8 years                   8 years

Average gas price = $4.25 per gallon

Total costs:

                                        The Ford TriVan   The Honda CityVan

Annual costs:

Total operating costs         $4,400                   $4,840

Total cost of fuel                $3,896                   $2,527

Annual costs                      $8,296                   $7,367

Life cycle costs:

Annual costs for 8 years   $66,368                $58,936

Purchase costs                  $28,000                $32,000

Total life-cycle costs          $94,368                $90,936

Difference in costs between Ford TriVan and Honda CityVan = $3,432 ($94,368 - $90,936)

Miles to put on the Ford TriVan for the life cycle cost to be equal to the life cycle cost of the Honda CityVan

= Difference in costs divided by total cost per mile of the Ford TriVan

= 9,032 miles ($3,432/$0.38)

Annual distance = 22,000 miles

Monthly distance = 1,833 miles

9,032/1,833 = 4.93 months or 5 months approximately

Answer:

3t - t.t.t +3(-2t) + t

3t - t³ - 6t + t

3t - 6t + t - t³

-2t - t³

Option A is correct

An equation of the new graph is: A. y = ∣x - 4∣ - 9.

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) + N

Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:

y = ∣x - 4∣ - 9

Read more on function and translation here: brainly.com/question/31559256

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The 10% condition when constructing a confidence interval for a population proportion states that the sample size should be less than 10% of the population size.

This is expressed mathematically as follows:

n/N < 0.10

Where n is the sample size and N is the population size. For example, if the population size is 500, then we must ensure that the sample size is less than 50 (500 x 0.10 = 50). This is because if the sample size is larger than 10% of the population size, then the confidence interval will not be reliable. In other words, the results of the confidence interval may be inaccurate and biased.

Learn more about confidence interval here:

https://brainly.com/question/28280095

#SPJ4

There are 18 or 20 pigs if two had 1 missing leg

Multiply the chickens by 2 or adding it by the same number since chickens have 2 legs

87

+87

-------

174

After, minus 174 from 248

That is 74

Divide by 4

The opposite angles are ∠LRE = ∠FRA and ∠TRF = ∠NRL. Then the correct options are A and D.

The complete question is attached below.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

The opposite angles are given below.

∠LRE = ∠FRA

∠TRF = ∠NRL

Then the correct options are A and D.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ1

Answer:

The answer is "27.41%"

Step-by-step explanation:

Given:

The staffed of Alpha company = 79%

The staffed of Beta company = 62%

\(\bold {\ Relative \ change = \frac{\alpha- \beta }{\beta }}\)

                             \(= \frac{(79 -62)}{62} \% \\\\= \frac{17}{62} \times 100\\\\=0.2741 \times 100\\\\=27.41\ \%\)

The final answer is "27.41%".

The correct option is A, we have a translation of 7 units to the right.-

To find it, we need to analyze two correspondent vertices.

We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)

Taking the difference between that, we will get:

A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)

The first value gives the horizontal translation and the second the vertical one

So,we have a translation of 7 units to the right, the correct option is A.

Learn more about translations at:

https://brainly.com/question/24850937

#SPJ1

Answer:

the equation 10 = x - y

Step-by-step explanation:

Let x represent the initial value of the investment, and let y represent the amount of money that each person receives after the investment is withdrawn.

We know that the cost of withdrawing the investment is $10, so we can write the equation 10 = x - y. We also know that each person receives $40, so we can write the equation y = 40.

We can now solve for x by substituting the value of y into the first equation. Since y = 40, we can substitute 40 for y in the equation 10 = x - y to get 10 = x - 40. Solving this equation for x, we find that x = 50.

Therefore, the initial value of the investment was $50.

If each classroom can accommodate less than 15 kids, then we can assume that the maximum number of kids in each classroom is 14 (since 15 is not allowed). Therefore, the maximum number of kids in all 12 classrooms would be:

Max number of kids = 14 kids/classroom x 12 classrooms = 168 kids

So the kindergarten section can accommodate a maximum of 168 kids.

We can write this as an inequality as follows:

Let K be the number of kids in the kindergarten section. Then:

K ≤ 168

This inequality says that the number of kids in the kindergarten section (K) is less than or equal to 168. As long as the number of kids is less than or equal to 168, the kindergarten section can accommodate them all.

Answer:

71 in²

Step-by-step explanation:

surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)

= 24+20+27 = 71 in²