The figure shows secants LH and and tangent J intersecting at point L. AHIL is a right triangle. Find m/HLJ, which is
the value for x, and m I, which is the value for y.
A. x = 274
y = 86
B. x = 137
y = 43
C. x = 47
y = 86
D. x = 317
y = 43

Answer:

4, 4√3

Step-by-step explanation:

In a 30-60-90 triangle:

The leg opposite of the 30-degree angle is 1/2 of the hypotenuse: 8/2 = 4

The longer leg is √3 times the shorter leg: 4*√3 = 4√3

Check work: 4^2+(4√3)^2 = 8^2 --> 16+48 = 64 --> 64 = 64

The correct statement based on the data is: A. Mean, because there are no outliers to affect the data.

Outliers are data point that appears extreme from other data values of a data distribution. When there is an outlier in a data distribution, the median is a better measure of center, while the mean is best when outliers are absent.

From the data distribution for both bakeries, no data seem extreme from the rest of the data, therefore, the mean is a better measure of center.

The answer is: A. Mean, because there are no outliers to affect the data.

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The probability that the first winner randomly selects the card for the pizza topped with ham, artichoke hearts, and pepperoni is 1/560 given that there are 16 toppings to choose from. This can be obtained by finding the total number of all possible three-topping pizzas (3 distinct toppings) using combination formula and finding the probability.

Given that there are 16 toppings,

the total number of all possible three-topping pizzas,

ⁿCₓ = [tex]\frac{n!}{x!(n-x)!}[/tex] = 16!/[3!(16-3)!] = 16!/[3!(13)!] = 14×15×16/3×2 =560

Probability of choosing pizza topped with ham, artichoke hearts, and pepperoni,

P(ham, artichoke hearts, pepperoni) = 1/560

Hence the probability that the first winner randomly selects the card for the pizza topped with ham, artichoke hearts, and pepperoni is 1/560 given that there are 16 toppings to choose from.

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Answer:

Step-by-step explanation:96 in the fourth since they are adding the answer itself two times before you get the other like 12 bacteria and then 24 so that means 12 + 12 is 24 and the third one 48 so 24 +24 =48

fourth 48 + 48=96

 fifth 96+96=192

sixth  192+192=384

seventh 384+384=768

last but not least 768+768 = 1536

so your answer is 1,536

The values of the triangles are as follows:

The triangle is an isosceles triangle because two sides and angles are equal. Therefore,

4x - 7 = 2x + 7

4x - 2x = 7 + 7

2x = 14

x = 14 / 2

x = 7 units

GH = 4(7) - 7 = 28 - 7 = 21

HI = 2(7) + 7 = 14 + 7 = 21

GI = 7 + 5 = 12

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At office 826 they will meet if they leave at the same time.

It is given that,

Agent J has recently been relocated from office 2013 to office 1. But his former office neighbor, Agent K is still in office 2014.

So, there are  (2014 - 1) - 1 = 2012 offices in between them.

It is given that,

Agent J can walk at a rate of 25 offices per minute, and Agent K walks at 36 offices per minute.

So,

Per minute they cross

= 25 + 36

= 61 offices.  

Thus, the time required for crossing all the 2012 offices is,

= 2012/61

= 32.9 ≅ 33 minutes

Then,

They will meet at

1 + 25(33) = 826 office (or)

2014 - 36(33) = 826 office (Negative since opposite direction)

Therefore, both of them meet at office 826.

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The ratio of distance travelled by walking to distance travelled by bus is 1 : 6.

When two quantities of the same units are compared, the ratio is what shows how much of one quantity is included in the other.

Total no. of Feet in a Mile = 5280

Distance Gary walked to the bus stop = 220 feet

Distance travelled by bus = 1/4 mile = (1 / 4)*5280 = 1320 feet

Ratio of distance walking to distance by bus = 220 / 1320 = 1 : 6

Hence, the ratio of distance travelled by walking to distance travelled by bus is 1 : 6.

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Answer:

Option A is probably the answer

If you have any question please contact me

Answer: A is the answer, should be right

Answer:

y = 9.84 mm

Step-by-step explanation:

Law of sine:

   [tex]\sf \boxed{\bf \dfrac{a}{Sin \ A}=\dfrac{b}{Sin \ B}= \dfrac{c}{Sin \ C}}[/tex]

    a = y

    A = 31°

   b  = 17 mm

    B = 117°

[tex]\sf \dfrac{y}{Sin \ 31^\circ}=\dfrac{17}{Sin \ 117^\circ}\\\\[/tex]

          [tex]\sf y = \dfrac{17}{Sin \ 117^\circ}*Sin \ 31^\circ\\\\ y = \dfrac{17}{0.89}*0.515\\\\y = 9.84 \ mm[/tex]

Answer:

The answer is A) He has the side lengths in the wrong place in the cosine ratio.

Answer:

A. He has the side lengths in the wrong place in the cosine ratio.

Step-by-step explanation:

got it right on edge23

Answer:

The answer to our question is A = 16,100(1.001)12t; $17,510

Step-by-step explanation:

I hope this helps and have a good day!

Answer:

A) 1/9, 3, 27

Step-by-step explanation:

i think you mean 3^x (and not 3x).

because otherwise none of the answer options withdraw makes any sense.

3^-2 = 1/(3²) = 1/9

3¹ = 3

3³ = 27

These are the effect on the PPC

1st pairs with a point original to PPC. and 2nd pairs with PPC shifts to the left. and 3rd pair with PPC shifts to the right.

According to the statement

we have given the some conditions and we have to match the each scenario with the effect of the PPC.

So, The given effect on the tiles are Tiles

- the PPC shifts to the right

- the PPC shifts to the left

- a point on the original PPC

- a point inside the PPC

- a point outside the PPC

And we have to join it with its pairs.

So,

First :

A manufacturing unit uses all its resources efficiently = A point on the original PPC

Second :

Andrew has 5 hours to complete his homework but uses only 3 hours, so he doesn’t complete it. = The PPC shifts to the left

Third :

A country acquires part of its neighboring country = The PPC shifts to the right

These are the conditions that satisfy the effect of PPC.

So, These are the effect on the PPC

1st pairs with a point original to PPC. and 2nd pairs with PPC shifts to the left. and 3rd pair with PPC shifts to the right.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Match each scenario with its effect on the PPC.

Tiles

- the PPC shifts to the right

- the PPC shifts to the left

- a point on the original PPC

- a point inside the PPC

- a point outside the PPC

Pairs

- A manufacturing unit uses all its

resources efficiently.

- Andrew has 5 hours to complete his

homework but uses only 3 hours, so

he doesn’t complete it.

- A country acquires part of its neighboring

country.

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^it doesn't need to be this complicated

$6.12

A percentage is some portion of a whole number. Multiple methods can be used to find percentages.

Multiplication to Find Percentages

One of the easiest ways to find percentages is to multiply the original number by a decimal. To do this, one first needs to turn the percentage into a decimal.

For example,

To convert a percentage to a decimal, just move the decimal point 2 places to the left.

Then, multiply this decimal by the whole number, and the answer, in this case, will be the tip.

19% of $32.20

Now, to solve we can just multiply.

The exact answer is 6.118. However, since we are using money, we are going to round to the nearest hundredth place. This gives the final answer of $6.12.

Answer:

a h>155 or h<190

Step-by-step explanation:

The height of the shortest student is 155 cm and the height of the tallest student is 190 cm, then the inequality shows the range is 155 ≤ h ≤ 190. Hence, option B is correct.

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the provided data in the question,

The height of the shortest student is 155 cm and,

The height of the tallest student is 190 cm.

It means that the height rage is starting from 155 cm and ending at 190 cm.

The shortest height should be at least equal to 155 cm and the greater height is maximum 190 cm.

Therefore, the inequality according to this is 155 ≤ h ≤ 190.

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The number of three digit numbers which use only the digits 0,1, and 5 is; 18.

Since, it follows from the task content that three digit numbers are to be considered, Hence, it follows that the choice for the first digit is between 1 and 5, for the second number and third number, the choice lies within all three numbers.

On this note, we have;

= 2× 3 × 3.

= 18.

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With the given rate Mamadou will take 6 hours to travel 126 miles.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The distance travelled in 8 hours is 168 miles.

In order to calculate time for 126 miles, unitary method can be used as,

The time for 168 miles is 8 hours.

Then, the time for 1 mile is 8/168 hours.

Thus, the time for 126 mile is 8/168 × 126 = 6 hours.

Hence, the time taken by Mamadou to travel 126 miles is 6 hours.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming the equation is:}[/tex]

[tex]\mathsf{(12.3)^2 - (0.246 \div 3)}[/tex]

[tex]\huge\textbf{If so, let's start simplifying it:}[/tex]

[tex]\mathsf{(12.3)^2 - (0.246 \div 3)}[/tex]

[tex]\mathsf{= (12.3\times 12.3) - (0.246 \div 3)}[/tex]

[tex]\mathsf{= (151.29) - (0.246 \div 3)}[/tex]

[tex]\mathsf{= 151.29 - 0.246 \div3}[/tex]

[tex]\mathsf{= 151.29 - 0.082}[/tex]

[tex]\mathsf{= 151.208}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\large\boxed{\mathsf{Exactly \rightarrow} \frak{\ 151.208\ } \& \textsf{ Corrected to two significant figures}\rightarrow \frak{150 \ or \ 151}}\large\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Usando proporciones, hay que la pangea tardra aproximademente 20,116,750 años para fragmentar-se.

Una proporción es una fracción de la cantidad total, e puede ser encontrada aplicando una regla de três.

La deriva continental es del orden de 4 cm al año. La distancia actual entre Sudamérica y África es de 5000 millas. En cm, esta distancia es la seguiente:

5000 millas = 5000 x 160934 cm = 80,467,000 cm.

Asi, el tiempo que levará para la pangea fragmentar-se es:

t = 80,467,000/4 = 20,116,750 años

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He travels 620miles at the same speed.

Given that joe travels 434 miles in 7 hours.

An object's speed is determined by how quickly it moves. It is the distance a body travels in one unit of time.

Firstly, we will find the speed when the distance is 434 miles and the time is 7 hours by using the formula

Speed=Distance/Time

Substitute the values in the formula, we get

Speed=434miles/7 hours

Speed=62 miles/hour

Now, we will find the distance when time is 10 hours, we get

62=distance/10

Multiply both sides by 10, and we get

62×10=(distance/10)×10

620miles=distance.

Hence, in 10 hours at the same speed, he travels when joe travels 434 miles in 7 hours is 620miles.

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Hi! ❄

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

There are really two ways to solve this problem. One of them is the slope formula. You can familiarise yourself with this formula

[tex]\sf{\dfrac{y2-y1}{x2-x1}}[/tex]

SUBSTITUTE the values

[tex]\sf{\dfrac{-13-8}{17-17}}[/tex]

[tex]\sf{\dfrac{-21}{\bf{0}}[/tex] (notice the zero was in bold-face)

Dividing by zero is an operation we cannot do.

So the slope of this particular line is not defined.

The other way is looking at the first co-ordinates of the points given

Notice that they are exactly the same. Whenever that happens, the slope of that line is not defined.

Hope that made sense !!

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

[tex]\star\tiny\pmb{\tt{calligraphy}}\star[/tex]

Jim has to travel 26.82 miles more to reach Denver.

What is the equation of a line?

Let the first point be = (x₁ , y₁)

Let the second point be = (x₂ , y₂)

m(slope) = (y₂ - y₁) / (x₂ - x₁)

Equation of line = (y - y₁) = m(x - x₁)

Let the no. of miles be plotted on X-axis

Let the driving time be plotted on Y-axis

First point = (61 , 41)

Second point = (42.3 , 63)

Slope of the linear function = (63 - 41)/(42.3 - 61) = -1.17

Equation of the line = (y - 41) = -1.17(x - 61)

Given time of driving = 81 min

Number of miles = (81 - 41) = -1.17(x - 61)

40/-1.17 = x - 61

-34.18 + 61 = x

x = 26.82

Hence, Jim has to travel 26.82 miles more to reach Denver.

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Answer: The height of the ball at time t is given as h = -16t² + 14t + 6 while the height of the receiver hand at time t is given as h = -16t² + 10t + 8

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

A quarterback throws a football toward a receiver from a height of 6 ft. The initial vertical velocity of the ball is 14 ft/s. At the same time that the ball is thrown, the receiver raises his hands to a height of 8 ft and jumps up with an initial vertical velocity of 10 ft/s.

The height of the ball at time t is given as h = -16t² + 14t + 6 while the height of the receiver hand at time t is given as h = -16t² + 10t + 8

Answer:

6

10

8

Step-by-step explanation:

Job order costing also gives managers the advantage of being able to keep track of individuals' and teams' performance in terms of cost control, efficiency, and productivity. A disadvantage of job order costing is that employees are required to track all materials and labor used during the job.

With the standardization of products, managers track performance, productivity, and costs over time. Process costing allows for greater flexibility when making changes in the production process. Managers can target specific departments' processes or materials to lower production costs.

With process costing, companies track the flow of costs from department to department, rather than tracking costs for each individual item. Each department adds direct labor and manufacturing overhead costs, plus the cost of any raw materials it uses.

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The value of x in terms of l is.

[tex]x=\sqrt{5l^{2} }[/tex]

A fundamental relationship in Euclidean geometry between  a right triangle's three sides is known as the Pythagorean theorem, or Pythagoras' theorem. The area of the square whose side is the hypotenuse is said to be equal to the total of the areas of the squares on the other two sides.

length = [tex]l[/tex]

width= [tex]2l[/tex]

diagonal = [tex]x[/tex]

We would get a right angle triangle if we were to cut a part across the diagonal. The Pythagoras Theorem can be used to solve the right angle triangle.

[tex]x^{2} =a^{2} +b^{2}[/tex]

using this formula substituting the value:

[tex]x^{2} =l^{2} +2l^{2}[/tex]

[tex]x^{2} =l^{2} +4l^{2} \\x^{2} =5l^{2} \\x=\sqrt{5l^{2}} \\[/tex]

from the above calculation we have:

[tex]x=\sqrt{5l^{2} }[/tex]

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Answer:

Step-by-step explanation:

Trigonometry is a branch of mathematics that relates the measures of sides and angles in a triangle. The various trig functions of an angle are defined in terms of the sides of a right triangle containing that angle. Consequently, the Pythagorean theorem can be used to relate certain trig functions to each other, and to obtain formulas for the sum and difference of angles.

The Pythagorean theorem relates side measures in right triangles. For relating side measures to each other or to angles in non-right triangles, one or both of the Law of Sines and the Law of Cosines must be used.

  both b) and c)

The Law of Sines relates side lengths and the sines of angles. Knowing three side lengths tells you nothing about the angles except the ratio of their sines.

The Law of Cosines relates three side lengths and one angle. Knowing the three side lengths, the angle measure can be found.

There is no Tangent Law.

Trigonometry is a calculation tool, not a measuring tool. As such, it allows calculation of angles and sides (of a triangle) that cannot be physically measured.

Paintings benefit greatly from rules of proportion and perspective. In general, trigonometry is not directly involved. (Computer-generated art may implement these rules of perspective using trigonometry. Paintings, in general, make no direct use of trigonometry.)

Answer:

0.4 pages per minute

Step-by-step explanation:

40/100 = .4

The measure of each angle formed by the place where the median meets the vertex is 30 degrees

The median of an equilateral triangle divides the side and the angle into equal parts.

If the angle at the vertex is, the new angle would be

Angle = x/2

The angle at the vertex of an equilateral triangle is 60.

So, we have:

Angle = 60/2

Evaluate

Angle = 30

Hence, the measure of each angle formed by the place where the median meets the vertex is 30 degrees

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