In ΔHIJ, the measure of ∠J=90°, HI = 6.6 feet, and IJ = 2.9 feet. Find the measure of ∠H to the nearest degree.

Trawler B should take a course that is 18 degrees east of north.

In order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.

Here are the steps to find the course that Trawler B should take:

Draw a diagram of the situation.

Label the two trawlers A and B.

Draw a line representing the direction that Trawler A is traveling.

Draw a line representing the direction that Trawler B should travel.

Measure the angle between the two lines.

The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.

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The factors of 4x^2 +8x-5 are (2x-1) and (2x+5)

The solution to the inequality expression is n < -9

The inequality expression is given as

4n - 6(n + 1) > 12

Open the bracket in the above inequality expression

4n - 6n - 6 > 12

Evaluate the like terms

-2n > 18

Divide both sides by -2

n < -9

Hence, the solution to the inequality expression is n < -9

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The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

The slope of the line passing through the points (5, 3) and (8, 2) is -1/3.

To find the slope of the line passing through the points (5, 3) and (8, 2), we can use the formula for slope:

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

Let's substitute the coordinates of the given points into the formula:

x1 = 5, y1 = 3

x2 = 8, y2 = 2

slope = (2 - 3) / (8 - 5)

Calculating the numerator and denominator:

slope = -1 / 3

Therefore, the slope of the line passing through the points (5, 3) and (8, 2) is -1/3.

Note: The slope represents the rate of change between the y-coordinates and x-coordinates of two points on a line. In this case, for every 3 units increase in the x-coordinate, the y-coordinate decreases by 1 unit.

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Answer:

C

Step-by-step explanation:

i just guessed but it was correct

Tasheena's grade percentage in the class so far is 91.83%.

Tasheena's grade is the sum of weighted scores in each of the component that make up the final grade.

Percent scored in quizzes = (125/150) x 15% = 12.50%

Percent scored in the three exams = (sum of scores in the exam / total obtainable score) x 55%

= [(73 + 83 + 94) / (100 + 100 + 100)] x 55%

= (250 / 300) x 55% = 45.83%

Percent scored in the projects = (28 / 25) x 25 = 28%

Percent for attendance = 5%

Total score = 5% + 28% + 45.83% + 12.50% = 91.33%

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Answer:

32/5

Step-by-step explanation:

I hope it helped you.

Answer:6 hours have passed by.

Step-by-step explanation:

0.8x= 84-79.2 where x is the number of hours.

O.8x = 4.8

Divide both sides by 0.8

X= 6

The linear equation we need to solve is:

$27.50*w = $309.99 - $144.99

And the solution is w = 6.

How to write and solve the equation?

We know that the cost of the gaming chair is $309.99.

To buy this, you already have saved $144.99, and save another $27.50 per week, then the amount you have after w weeks is:

f(w) = $144.99 + $27.50*w

So the linear equation we need to solve is:

$144.99 + $27.50*w = $309.99

To solve this we need to isolate w.

$144.99 + $27.50*w = $309.99

$27.50*w = $309.99 - $144.99

w = ($309.99 - $144.99)/$27.50 = 6

So they can buy the chair after 6 weeks.

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The radical form is  \((5x)^\frac{2}{3}=\sqrt[3]{(5x)^2}\)

Given,

In the question:

Write 5x^2/3 in radical form​.

Let's Know,

What is Radical Form?

An expression that uses a root, such as a square root, cube root is known as a radical notation. Therefore, 33/2 in radical form is √33 = √27. ​​​​Example 2: Solve the radical: 3√x = 8 using the radical formula. Therefore, Thus, the value of x for 3√x x 3 = 8 is 512.

Now, According to the question:

\((5x)^\frac{2}{3}\)

Convert in Radical form:

Apply the rule :

\(x^\frac{m}{n} = \sqrt[n]{x^m}\)

To rewrite the exponential as a radical .

=> \((5x)^\frac{2}{3}=\sqrt[3]{(5x)^2}\)

Hence, The radical form is  \((5x)^\frac{2}{3}=\sqrt[3]{(5x)^2}\)

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Answer:

a. (see attachment)

b. 6.5 km

c. 4.717 km

MAKE SURE TO USE UNITS

Given:

The function is:

\(f(x)=6x\)

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

\(f(x)=6x\)

Step 1: Substitute \(f(x)=y\).

\(y=6x\)

Step 2: Interchange x and y.

\(x=6y\)

Step 3: Isolate variable y.

\(\dfrac{x}{6}=y\)

Step 4: Substitute \(y=f^{-1}(x)\).

\(\dfrac{x}{6}=f^{-1}(x)\)

Therefore, the inverse of the given function is \(f^{-1}(x)=\dfrac{x}{6}\) and the graphs of these functions are shown below.

Note: The inverse function is \(g(x)=f^{-1}(x)\).

Answer:

1 / 97290

Step-by-step explanation:

The number of ways of selecting 3 specific route capitals from 47 states can be obtained thus :

Probability = required outcome / Total possible outcomes

Total possible outcomes = 47P3

Recall :

nPr = n! / (n-r)!

47P3 = 47! / (47-3)! = 47! / 44! = 97290

Hence, probability of selecting route if 3 specific capitals is = 1 / 97290

When the short leg of a right triangle is 10 meters long and the sharp angles are present, the right triangle's longer leg has a measurement of 21.45 meters.

Right angles are created when two straight lines cross at a 90° angle or are perpendicular to one another at the intersection. The sign stands for a right angle. Different right angle formations can be seen in the above image. The proper angles can be found in shapes. Right triangles are triangles with one of the internal angles at a right angle of 90 degrees. Since a triangle's three interior angles sum up to 180 degrees, a right triangle's three interior angles must always add up to 90 degrees since one of them is always 90 degrees.

given

x / sin 65° = 10 / sin 25°

x = 10 sin 65°/ sin 25°

x = 21 .45 meters

as law of sine

a / sinA = b / sinB = c / sinC

When the short leg of a right triangle is 10 meters long and the sharp angles are present, the right triangle's longer leg has a measurement of 21.45 meters.

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Answer:

107

Step-by-step explanation:

Answer:

107

Step-by-step explanation:

Because I'm a pro and very intelligent, trust me.

Answer:

(a) x=23

Step-by-step explanation:

3x-50 + 7x = 10x-50

10x-50=180

10x=230

x=23

The baker made a batch of chocolate chips, oatmeal raisin, and sugar cookies. If P(chocolate chip) = 0.25, the likelihood of randomly selecting a chocolate chip is B. Likely.

Generally,  Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

A probability of 0.5, for example, would indicate that an event has a 50% chance of occurring. Probability can be used to make predictions and inform decision-making in a wide range of fields, including statistics, finance, and engineering.

A probability of 0.25 represents a 25% chance of a randomly selected cookie from the batch being a chocolate chip cookie, which is considered "likely" to occur.

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Answer:

The answer is x + 12

Step-by-step explanation:

The expression for x increased by 12

i.e.,

x + 12

Thus, The answer is x + 12

-TheUnknownScientist 72

Answer:

x + 12

Step-by-step explanation:

To answer x increased by 12, we know that you are adding 12 to x. So that means the equation is x + 12

Answer:

y=4x-3

Step-by-step explanation:

Answer:

DO i care... no ask your dam teacher won der why u aint pass

Step-by-step explanation:

Answer:

expanded form:- 7+2/10+5/100

Step-by-step explanation:

Answer:

7 * 1 + 2 * 0.1 + * 5 * 0.05

P.S * is the same thing as times.

Step-by-step explanation:

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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To have $5,000 (future value) in your account in 5 years, you need to deposit $71.66 monthly at 6% interest.

The monthly deposit is the sum that is periodically invested to earn a future value.

We can compute the monthly deposit using an online finance calculator as follows:

N (# of periods) = 60 months (5 years x 12)

I/Y (Interest per year) = 6%

PV (Present Value) = $0

FV (Future Value) = $5,000

Results:

Monthly deposits = $71.66

Sum of all periodic deposits = $4,299.84

Total Interest = $700.16

Thus, earning 6% interest monthly, a depositor can invest $71.66 monthly to have $5,000 in 5 years.

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The radical form of the given expression would be; \(x^{ \frac{5}{8} } = \sqrt[8]{x^{5}}\)

Factor the radicand: If the radicand isn't already in the form of a perfect square, we can factor it into its prime factors and pull out any perfect squares from the radicand.

We are given that

\(x^{ \frac{m}{n} } = \sqrt[n]{x^{m}} \\ x^{ \frac{5}{8} } = \sqrt[8]{x^{5}} \\\)

When the radical has an exponent (such as cube root), divide the exponent by the index of the radical.

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Step-by-step explanation:

to\(3w - 7 = \sqrt{8w - 7} \\ {(3w - 7)}^{2} = ({ \sqrt{8w - 7} })^{2} \\ 9 {w}^{2} - 42w + 49 = 8w - 7 \\ 9 { w}^{2} - 42w - 8w + 49 + 7 = 0 \\ 9 {w}^{2} - 50w + 56 = 0 \\ (9w - 14)(w - 4) = 0 \\ w = \frac{14}{9} \: or \: w = 4\)

to make sure the answer

substitute w = 14/9 and w = 4 to the equation.

if w = 14/9

\(3w - 7 = \sqrt{8 w - 7} \\ 3 \times \frac{14}{9} - 7 = \sqrt{8 \times \frac{14}{9} - 7} \\ - \frac{ 7}{3} = \frac{7}{3} \)

we know that if we substitute w = 14/9, the answer is not the same.

if w = 4

\(3w - 7 = \sqrt{ 8 w - 7 } \\ 3 \times 4 - 7 = \sqrt{8 \times 4 - 7} \\ 5 = 5\)

if we substitute w = 4 the answer is the same.. we can conclude the the answer of 3w - 7 = √8w - 4 is 4

the answer is 8

Step-by-step explanation:

just minus 11by 3

Answer: acute equilateral

Step-by-step explanation: