Solve the right triangle. Round decimal answers to the nearest tenth.

Answer:

2 9/14

Step-by-step explanation:

first we must make 1/6 and 3/7 have common demoniaters! (or however u spell it)

1/6 x 7/7 = 7/42

3/7 x 6/6 = 18/42

7/42 + 18/42 = 25/42

2/7 x 6/6 = 12/42

25/42 + 12/42 = 37/42

37/42 + 7/42 = 44/42

44/42 + 18/42 = 62/42

62/42 + 12/42 = 74/42

5/7 x 6/6 = 30/42

74/42 + 30/42 = 104/42

104/42+7/42 = 111/42

111/42 = 2 9/14

Answer:

OkStep-by-step explanation:

Answer:

Answer down bellow

Step-by-step explanation:

Q's Asked: A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.

Years of experience Salary

0 $52,000

1 $53,150

2 $54,260

3 $55,285

4 $56,921

5 $57,126

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So based on the chart:

0 $52,000

1 $53,150

2 $54,260

3 $55,285

4 $56,921

5 $57,126

We can see for each year of experience the "Salary" goes up one thousands constantly. And that makes sense bc as you get used to the work u gradually get better meaning u work better and u also get paid better. ehmm... my bad

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

So work side of things based on the chart we see the amount the amount change.  so from

0 to 1 yr

you will be paid $1,150 more.

and from 1 to 2 yrs you will be paid 1110.

and so on.

And btw i got it right on my test !

Pls like and give brainlest

Answer:

Explained below.

Step-by-step explanation:

The claim made by an expert is that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)².

(1)

The hypothesis for both the test can be defined as:

H₀: The variance of speeds does not exceeds 75 (mph)², i.e. σ² ≤ 75.

Hₐ: The variance of speeds exceeds 75 (mph)², i.e. σ² > 75.

(2)

A Chi-square test will be used to perform the test.

The significance level of the test is, α = 0.05.

The degrees of freedom of the test is,

df = n - 1 = 55 - 1 = 54

Compute the critical value as follows:

\(\chi^{2}_{\alpha, (n-1)}=\chi^{2}_{0.05, 54}=72.153\)

Decision rule:

If the test statistic value is more than the critical value then the null hypothesis will be rejected and vice-versa.

(3)

Compute the test statistic as follows:

\(\chi^{2}=\frac{(n-1)\times s^{2}}{\sigma^{2}}\)

    \(=\frac{(55-1)\times 94.7}{75}\\\\=68.184\)

The test statistic value is, 68.184.

Decision:

\(cal.\chi^{2}=68.184<\chi^{2}_{0.05,54}=72.153\)

The null hypothesis will not be rejected at 5% level of significance.

Conclusion:

The variance of speeds does not exceeds 75 (mph)². Thus, concluding that driving conditions are not dangerous on this highway.

Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

Domain of f is ( -4 ,1 ) and Range of f is (4 , -5)

The domain refers to the set of possible input values.

The domain of a graph consists of all the input values shown on the x-axis.

The range is the set of possible output values, which are shown on the y-axis.

According to the graph ,

The horizontal extent of the graph is starting from -4 and ending on 1

Therefore , the domain of graph is (-4 , 1)

These points are not included in the domain , you can observe the end points of curves is not filled

The vertical extent of graph is starting from 4 and going downwards till -5

so, Range of graph is (4 , -5)

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Answer:

yes

no

no

yes

no

Step-by-step explanation:

7/20 + 3/5 = 19/20 (yes/no) | it goes through

3/5 + 3/10 = 3/15 (yes/no) | doesn't go through

1/2 + 2/3 = 3/5 (yes/no) | doesn't go through

1/10 + 1/2 = 3/5 (yes/no) | it goes through

3/5 + 1/20 = 9/20 (yes/no) | doesn't go through

The distance from the pole at which the cable is anchored is about 25 feet from the pole .

Given that a 35-foot cable is run from the top of the pole and anchored to the ground at a distance from the pole. The problem is to determine about how far away from the pole would it be anchored.

Let AB be the pole of length 40 feet, and CD be the 35-foot long cable anchored to the ground at D and attached to the top of the pole at C. Let E be the point on the ground at which the cable is taut and is anchored. The distance ED is to be determined.

we can see that ∆CDE is a right-angled triangle with ∠CED = 90°.

Using Pythagoras Theorem, we have:CD² = CE² + DE²35² = (40 - ED)² + DE² .

Simplifying the above equation

1225 = 1600 - 80ED + ED²

1225 - 1600 + 80ED - ED² = 0ED² - 80ED + 375 = 0

Factorizing the above quadratic equation

ED² - 25ED - 15ED + 375 = 0ED(ED - 25) - 15(ED - 25)

  = 0(ED - 15)(ED - 25) = 0So, ED = 15 ft or ED = 25 ft.

The negative value of ED is extraneous since it represents a point below the ground, which is not possible. Therefore, the distance from the pole at which the cable is anchored is about 25 feet from the pole.

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Answer:b

Step-by-step explanation:

90 is a weird number btw

Answer:

The Answer is 6

Hope this helps hehehe

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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Answer:

i think it's 1/2 (a-8)

Step-by-step explanation:

so if u take 1/2 (a-8) and do distributive property ull get 1/2a and the 1/2 times 8=4 so u get 1/2a-4 I'm sorry if im wrong but this is what makes sense to me

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

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Answer:

B

Step-by-step explanation:

The amount of chlorine needed to treat a swimming pool is directly proportional to the volume of the poolWhat is the constant of proportionality for this relationship

Answer: $212.50

Step-by-step explanation:

Cindy's share = 40% of the cost.

Mary's share = 35% of the cost.

Reese's share = 100% - (40% + 35%) = 100% - 75% = 25%

If the cost to rent a vacation home for a week is $850, the amount that Reese will pay to rent this vacation home for a week will be:

= 25% × $850

= 0.25 × $850.

= $212.50

Answer:

Angle sum Theorem says that the sum of the measures of the interior angles of a triangle is 180 degrees. ... This creates alternate interior angles that are congruent. Sum of two interior angles equals the opposite exterior angle...33 + 87 = yy = 120°

Step-by-step explanation:

Answer:

x = -1,375

y = -5

Step-by-step explanation:

{-8x + y = 6, / : (-1)

{-8x + 3y = -14;

Multiply the first equation by -1, so that we could eliminate 8x:

+ {8x - y = -6,

{-8x + 3y = -14;

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

4y = - 20 / : 4

y = -5

Now, make x the subject from the first equation (you can do it from the 2nd one instead):

8x = -6 + y / : 8

x = -0,75 + 0,125y

x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375

Answer:

(x+3)(x-2)(2x)(x+2)

Step-by-step explanation:

First, start by factoring (x²+x-6).

Find 2 numbers that multiply to -6 and add to get 1. This will be 3 and -2.

So, (x²+x-6) will factor into (x+3)(x-2)

Then, factor (2x²+4x).

You can factor out 2x because both terms can be divided by that.

You will be left with 2x(x+2), which cannot be factored anymore.

Combine all the factors to get (x+3)(x-2)(2x)(x+2).

The answer is (x+3)(x-2)(2x)(x+2).

Component, in arithmetic, a number or algebraic expression that divides every other variety or expression calmly—i.e., without a remainder. as an example, three and six are factors of 12 due to the fact 12 ÷ three = four precisely and 12 ÷ 6 = 2 precisely. The other elements of 12 are 1, 2, four, and 12.

A nice technique for teaching college students how to discover factor pairs is to have them begin at 1 and paint their manner up. Supply your college students a goal number and ask them to put “1 x” underneath it. let them fill inside the right aspect with the variety itself. We recognize that any variety has one “thing pair” of one time itself.

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Answer:

x = 101°

Step-by-step explanation:

180-147 = 32

180-47-33 = 101

also this is not college math what

Answer: 14.5

Step-by-step explanation:

When there is a decimal point, you start counting from the left any number that is not zero. If the zero is at the end, then you count it.

For example, if the answer is 0.000145 then the number of significant figures is still three because you start counting from the first nonzero number from the left.

If the answer is 14.50, then the number of significant figures is four because you start counting from the first nonzero number from the left.

14.53 is the answer to the equation but because you want to correct it to 3 significant figures, you round down because 3 is less than 5 and 14.5 ends up being the final answer.

The fraction 13/7 lies between the fractions 6/6 and 6/7.

We have,

Between the fractions 6/6 and 6/7, there are infinitely many fractions.

To find a fraction that lies between these two fractions, we can take their average.

The fraction 6/6 simplifies to 1, and the fraction 6/7 cannot be simplified further.

To find the average, we add the two fractions and divide the sum by 2:

(6/6 + 6/7) / 2

To add the fractions, we need a common denominator, which is the least common multiple (LCM) of 6 and 7, which is 42.

Converting the fractions to have a common denominator:

(6/6) x (7/7) + (6/7) x (6/6) / 2

Simplifying the expression:

(42/42 + 36/42) / 2

Combining the numerators:

(78/42) / 2

Dividing:

78/42 = 13/7

Thus,

The fraction 13/7 lies between the fractions 6/6 and 6/7.

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Answer:

Dado que el área de un triángulo es igual a la multiplicación de su base por su altura, si la base de un triángulo se duplica, su área se incrementará, con lo cual la afirmación es incorrecta, ya que el área no se reducirá a la mitad. Así, por ejemplo, un triángulo de base 10 y altura 15 tendrá un área de 50 (10 x 5), mientras que si su base se duplica a 20, pasará a tener un área de 100 (20 x 5), con lo cual su área también se duplicará.

Answer:

x/4

Step-by-step explanation:

The expression of the mathematical statement given as the difference between 12 and ten times a number is 28 is 12 - 10x = 28

The mathematical statement is given as

The difference between 12 and ten times a number is 28

The difference of numbers means subtraction

So, we have

The difference between 12 and ten times a number is 28 => 12 - ten times a number is 28

Let the number be x

So, we have

The difference between 12 and ten times a number is 28 => 12 - ten times x is 28

The product of numbers means multiplication

So, we have

The difference between 12 and ten times a number is 28 => 12 - 10 * x is 28

Evaluate the product

The difference between 12 and ten times a number is 28 => 12 - 10x is 28

Rewrite as

The difference between 12 and ten times a number is 28 => 12 - 10x = 28

Hence, the expression of the mathematical statement given as the difference between 12 and ten times a number is 28 is 12 - 10x = 28

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Question 3)

Given

The point (1, -5)

The slope m = -5/6

Using the point-slope form of the equation of a line

\(y-y_1=m\left(x-x_1\right)\)

where

In our case:

substituting the values m = -5/6 and the point (1, -5) in the point-slope form of the equation of the line

\(y-y_1=m\left(x-x_1\right)\)

\(y-\left(-5\right)=-\frac{5}{6}\left(x-1\right)\)

\(y+5=-\frac{5}{6}\left(x-1\right)\)

Thus, the point-slope form of the equation of the line is:

\(y+5=-\frac{5}{6}\left(x-1\right)\)

Question 4)

Given

The point (-1, 5)

The slope m = -7/2

In our case:

substituting the values m = -7/2 and the point (-1, 5) in the point-slope form of the equation of the line

\(y-y_1=m\left(x-x_1\right)\)

\(y-5=-\frac{7}{2}\left(x-\left(-1\right)\right)\)

\(y-5=-\frac{7}{2}\left(x+1\right)\)

Thus, the point-slope form of the equation of the line is:

\(y-5=-\frac{7}{2}\left(x+1\right)\)

Answer:

6

Step-by-step explanation:

Answer:

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

Step-by-step explanation:

Carleigh, Inc. should separate the organ meats from the residual and sell them abroad, as it would increase their total revenue by $17,150 per week.

To determine whether Carleigh, Inc. should separate the organ meats and sell them abroad, we need to calculate the incremental revenue and incremental costs associated with this decision.

The incremental revenue would be the revenue generated from selling the organ meats abroad, which is $52,000 per week. The incremental cost would include the cost of further processing ($27,500 per week), transportation cost ($12,100 per week), and the increase in resource spending for other activities ($3,120 per week).

Therefore, the incremental cost would be $42,720 per week. Subtracting this from the incremental revenue of $52,000, we get an incremental profit of $9,280 per week.

However, this decision would also decrease the value of the residual from $9,800 to $2,650 per week. Therefore, we need to subtract this decrease in value from the incremental profit. This gives us a net increase in profit of $17,150 per week ($9,280 - $7,130).

Thus, it would be beneficial for Carleigh, Inc. to separate the organ meats and sell them abroad.

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