What are the correct trigonometric ratios that could be used to determine the length of LN? Check all that apply. Sin(20°)=LN/8. Cos(70°)=8/LN . Tan(70°)=LN/MN . Sin(20°)=8/LN . Cos(70°)= LN/8

Answer:

-5y3+35y2-10y

Step-by-step explanation:

Answer:

        median

Step-by-step explanation:

Answer:

C is the median

Step-by-step explanation:

The center line in the box is the median of the data.  The median is the middle point of the data set.

The height of the rectangular prism in meters is calculated as: D. 0.75 m.

A rectangular prism is a type of a box having a width, length, and a height.

The height of the rectangular prism is 75 cm.

1 m = 100

75 cm converted to meters would be: 75/100 = 0.75 meters.

Thus, the height of the rectangular prism is calculated as: D. 0.75 meters.

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Answer:

0.75

Step-by-step explanation:

hope this helps

Answer:

C

Step-by-step explanation:

the answer is easy this just commen scence the decimal is in the tenth there for you get 180/333 bc thats the only answer

Answer:

180333

Step-by-step explanation:

cause of the decimal

Answer:

7(x+2)

7x+14

(7)(x)+(7)(2)

Step-by-step explanation:

Answer:

the answer is C. they are both positive.

Step-by-step explanation:

This is because over the y axis is the first quadrant which is always positive.

Final answer:

Upon reflection over the y-axis, the x-values of the vertices become negative, and the y-values remain positive; hence, option A is correct.

Explanation:

The question asks what is true about the vertices of a triangle located in the first quadrant of the coordinate plane when it is reflected over the y-axis. A reflection over the y-axis in the Cartesian coordinate system would mean that for any point (x, y) on the triangle, the x-coordinate would change its algebraic sign while the y-coordinate would remain the same. This is due to the properties of reflection over an axis where coordinates perpendicular to the axis of reflection change signs, and those parallel remain unchanged.

The correct answer here would be A. The x-values are negative because they are reflected across the y-axis, changing their signs from positive to negative. However, the y-values would remain positive since the triangle is still located in the quadrant above the x-axis, where y-values are positive.

Answer:

at least 15 of Maria's runs were more than four miles each

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Members would have to pay 6 time and nonmembers would have to pay 5 time because if members pay 25 then 25 time 6 is 150 and if nonmembers pay 30 then if you time 30 by 5 you get 150

Answer:

x=63.256%   63.3-rounded to the nearest tenth.

Step-by-step explanation:

Answer:add the scatter plot

Step-by-step explanation:

Answer:

The height is 17.2 milometers.

Step-by-step explanation:

l*w=A

273.48=15.9*h

1/15.9*273.48=15.9*1/15.9*h

17.2=h

Answer:

17.2 kilometers

Step-by-step explanation:

A=w*l or b*h

So to find the height you divide the total of 273.48 and divide it by the base of 15.9.

273.48÷15.9=17.2

Answer: t = 29.5 inches

Step-by-step explanation:

Given that the ΔSTU, u = 23 inches, ∠T=158° and ∠U=17°. 

We can Find the length of t by using sine rule

t/saint = u/sinU

t/sin158 = 23/sin17

t = sin158 × 23/sin17

t = 29.47 inches

t = 29.5 inches

Answer:

29.5

Step-by-step explanation:

Answer:

7/9

Step-by-step explanation:

Let x= 0.7(repeating)

Then, 10x=7.7 (repeating)

Then subtract the first equation from the second

10x= 7.777... - x= 0.777... /9x=7

therefore, x= 7/9

Answer: b= -5 over 3

Step-by-step explanation:

create the equation 3b + 9 = 4

subtract 9 from each side to isolate the variable

we are left with 3b = -5

to further isolate the variable divide by 3

3b/3 = -5/3

3b divided by 3 is b, which is equal to -5 divided by 3; -5/3

b = -5/3 is your answer

Final answer:

To represent the statement 'The sum of 3 times a number and 9 equals 4' with b as the unknown number, the equation is 3b + 9 = 4. Solving for b gives us b = -5/3.

Explanation:

The question asks to write an equation with the variable b as the unknown number, where three times this number plus nine is equal to four. To write the equation we need to translate the sentence into mathematical terms: three times a number can be expressed as 3b, and 'the sum of 3 times a number and 9' can be written as 3b + 9. Therefore, the complete equation that represents the sum of 3 times a number and 9 equals 4 is 3b + 9 = 4.

To solve for b, we can carry out some simple math by subtracting 9 from both sides to get 3b = -5, and then dividing both sides by 3 to find the value of b, which would be b = -5/3.

Answer:

Fist you add 5 to the -5 and 11. Then you should get 3x=16. Next you divide 3 on both sides. Your answer should be x=16/3.

Step-by-step explanation:

Answer:

The answer is c or $180

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Area= height x width

12 X 6 = 72

The area of this irregular figure is,

⇒ A = 54 cm²

We have to given that;

Figure is shown in image.

Here, Figure is made by a rectangle and a triangle.

Hence, The area of this irregular figure is,

⇒ A = 1/2 (12-6) × 6 + (6 × 6)

⇒ A = 1/2 × 6 × 6 = 36

⇒ A = 18 + 36

⇒ A = 54 cm²

Thus, The area of this irregular figure is,

⇒ A = 54 cm²

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The total amount of interest Alexandra will earn, after taxes is, $51.05.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, To calculate the total amount of interest Alexandra will earn, we first need to calculate the annual interest rate.

Since the APR is 4%,

Hence, we can calculate the quarterly interest rate by dividing 4 by 4 = 1%.

Next, we need to calculate the number of quarters in 3 years which is,

⇒ 3 x 4 = 12 quarters.

Now, Using the formula for compound interest, we can calculate the balance of Alexandra's account at the end of the 3-year period:

Balance = Principal (1 + (rate/n))ⁿˣ

where, P = Principal = $400

r = Annual interest rate = 4%

n = Number of times interest is compounded per year = 4 (quarterly)

x = Number of years = 3

Plugging in the values,

Balance = $400 (1 + (0.04/4))¹²

            = $463.81

Next, we need to calculate the total amount of interest Alexandra earned, which is the difference between the balance and the principal:

Total interest earned = $463.81 - $400 = $63.81

Since Alexandra will be taxed on 20% of the interest, we need to calculate the amount of tax she will pay:

Tax = 20% of $63.81

      = $12.76

Finally, we can calculate the total amount of interest Alexandra will earn after taxes:

Total interest earned after taxes = $63.81 - $12.76 = $51.05

Therefore, the correct answer is, $51.05.

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Answer:

40.58

Step-by-step explanation:

Answer:

x = 1.386

Step-by-step explanation:

4e^x= 16

e^x=4

ln(e^x)=ln4

x=ln4=1.386

Answer:

16 oz, 12 oz, 4 oz

Step-by-step explanation:

Since 1 pound is equal to 16 ounces, and you can only use each weight once or not at all, you can determine how much is needed by simply adding.

2 pounds is equal to 32 ounces.

To achieve 32 ounces, you can use a 16 ounce weight, which will then bring the scale to need 16 ounces.

After this you can youse a 12 ounce weight, which brings it down to 4 ounces.

The last weight needed is the 4 ounce weight which will then level out the balance scale.

Answer: [tex]m\angle EYL=96\°[/tex]

Step-by-step explanation:

For this exercise you need to use the formula for calculate the measure of the angle formed by two tangents intersecting outside of  a circle. This is:

[tex]Angle\ formed \ by\ two\ tangents = \frac{1}{2}(Difference\ of\ Intercepted\ Arcs)[/tex]

According to the information given in the exercise, you know that:

[tex]Angle\ formed \ by\ two\ tangents = m\angle EYL\\\\Difference\ of\ Intercepted\ Arcs=m LVE-mLHE[/tex]

Since there are 360 degrees in a circle, you can determine that:

[tex]mLVE=360\°-mLHE\\\\mLVE=360\°-84\°\\\\mLVE=276\°[/tex]

Therefore, knowing these values, you can substitute them into the formula given above and the evaluate, in order to find the measure of the angle EYL. This is:

[tex]m\angle EYL=\frac{1}{2}(276\°-84\°) \\\\m\angle EYL=96\°[/tex]

The mean of a dataset is the sum of the elements divided by how many elements are present in the data set.

The sum of the elements in this dataset is

[tex]93+95+102+91+104+93+95+98+97+92+102+96+92+104+100+98=1552[/tex]

And there are 16 elements, so the mean is

[tex]\mu = \dfrac{1552}{16}=97[/tex]

The absolute deviation is computed as follows:

So, following the first point, the new dataset is

[tex]\{4, 2, 5, 6, 7, 4, 2, 1, 0, 5, 5, 1, 5, 7, 3, 1\}[/tex]

And the average of this dataset is

[tex]\dfrac{4+2+5+6+7+4+2+1+0+5+5+1+5+7+3+1}{16} = \dfrac{58}{16}=3.625[/tex]

The cyclist rode a total of 172 miles in 9 hours, covering 92 miles at 23 mph for 4 hours and 80 miles at 16 mph for 5 hours.

To find out how far the cyclist rode in 9 hours, we need to calculate the distance covered at each speed and then add those distances together. The cyclist rode at a constant speed of 23 mph for 4 hours and then at a speed of 16 mph for 5 hours.

First, we calculate the distance at 23 mph:

Distance = Speed × Time
Distance at 23 mph = 23 mph × 4 hours = 92 miles

Next, we calculate the distance at 16 mph:

Distance at 16 mph = 16 mph × 5 hours = 80 miles

Now, we add the distances together to get the total distance:

Total Distance = Distance at 23 mph + Distance at 16 mph
Total Distance = 92 miles + 80 miles = 172 miles

Therefore, the cyclist rode a total of 172 miles in 9 hours.

Answer:

Option D: 900

Step-by-step explanation:

Please kindly check the attached files for further explanation.

Final answer:

The best option for a college based on an SAT score of 910 is the one with an average SAT score closest to this, which is option D with an average score of 900.

Explanation:

Based on your SAT score of 910, the college with the average SAT score closest to your score would likely be your best option. Among the options given:

A. 1470

B. 1420

C. 1190

D. 900

Option D, with an average SAT score of 900, represents the college that is most aligned with your score of 910 and would probably be the most attainable based on the SAT score alone. However, keep in mind that colleges consider a mix of factors including GPA, community service, and other inputs beyond just SAT scores for admissions.

Answer:

x + 97 = 180

Step-by-step explanation:

Being that vertical line is straight, that 97 degrees and x must add up to equal 180 degrees. Therefore, x + 97 = 180 would help you solve for x.

The ratio of votes Rick received to the votes Jamal received, in simplest form, is 5:6. This was calculated by dividing Rick's 50 votes by Jamal's 60 votes and then reducing the resulting fraction.

The question asks for the ratio of the number of votes Rick received to the number of votes Jamal received in a sixth-grade class president election. To find this ratio, we simply divide the number of votes each candidate received. Rick received 50 votes, and Jamal received 60 votes.

Now we divide Rick's votes by Jamal's votes: 50 ÷ 60. When we reduce this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 10 in this case. So, the simplified ratio is 5:6. This means that for every 6 votes Jamal received, Rick received 5 votes.

Answer:

Step-by-step explanation:

Solving inequalities is easy, you just need to follow the standard rules of algebra. Also, when multiplying or dividing by a negative number, the inequality sign is reversed.

Step 1: Divide by 5

x < 2

Step 2: Check

5(1) < 10

5 < 10✔️

Step 3: Check Again

Since an inequality has multiple solutions, it is important to check at least 2, to determine if the entire range of solutions is true.

5(-6) < 10

-30 < 10✔️

Step 4: Verified Answer

x < 2

I'm always happy to help :)

Answer: x < 2

Step-by-step explanation: Since x is being multiplied by 5, we divide by 5 on both sides of the inequality to get x < 2.

Answer: The correct options are options 1 and 4.

The quadrilaterals cannot be placed such that each occupies one quarter of the circle because the vertices of parallelogram 1 do not form right angles.

The quadrilaterals cannot be placed such that each occupies one quarter of the circle because the vertices of parallelogram 4 do not form right angles.

Step-by-step explanation: When you have the dimensions of a quadrilateral given along with the diagonal (which is also the hypotenuse) you basically have the quadrilateral divided into two triangles. You can determine if the triangles are going to be right angled or not simply by using the Pythagoras theorem as a test.

Note also that if the angles are right angled, then the quadrilaterals can all be conveniently placed, one in each quarter of the circle without overlapping. This is possible because each quarter of a circle measures 90 degrees.

To test if the angles formed are right angled we shall take the following steps;

Pythagoras theorem states that; AC² = AB² + BC²

Where AC is the longest side (hypotenuse), and AB and BC are the other two sides.

(Quad 1) ------> 20² = 12² + 15²

400 = 144 + 225

400 ≠ 369

Both sides pf the equation are not equal, hence the vertices of parallelogram 1 do not form a right angle.

(Quad 2)------> 34² = 16² + 30²

1156 = 256 + 900

1156 = 1156

Both sides of the equation are equal, hence the vertices of parallelogram 2 forms a right  angle

(Quad 3)------> 29² = 20² + 21²

841 = 400 + 441

841 = 841

Both sides of the equation are equal, hence the vertices of parallelogram 3 forms a right angle

(Quad 4)------> 26² = 18² + 20²

676 = 324 + 400

676 ≠ 724

Both sides sides of the equation are not equal, hence the vertices of parallelogram 4 do not form a right angle.

From the results shown above, if the four parallelograms are placed in each of the four corners of the circle, they would definitely overlap because two of them do not form right angles at their vertices.

Answer:

B & E

Step-by-step explanation:

The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.

The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.