Mathematics College

Find HG and HI.
A. HG = 11/ square root 3 and HI = 7 square root 3
B. HG= 11 square root 3/3 and HI= 7 square root 3/3
C. HG= 11 square root 3 and HI = 23 square root 3
D. HG= 11 square root 3/3 and HI = 22 square root 3/3

Find HG And HI.A. HG = 11/ Square Root 3 And HI = 7 Square Root 3 B. HG= 11 Square Root 3/3 And HI= 7

Answers

Answer 1

Answer:  Choice D

HG= 11 square root 3/3 and HI = 22 square root 3/3

In other words, [tex]\text{HG} = \frac{11\sqrt{3}}{3} \ \text{ and } \ \text{HI} = \frac{22\sqrt{3}}{3}\\\\[/tex]

==========================================================

Explanation:

Let's say that x is the short leg and y is the long leg

For any 30-60-90 triangle, we have this connection: [tex]y = x\sqrt{3}[/tex]

The long leg y is exactly sqrt(3) times longer compared to the short leg x.

Let's solve for x and then plug in y = 11

[tex]y = x\sqrt{3}\\\\x = \frac{y}{\sqrt{3}}\\\\x = \frac{y*\sqrt{3}}{\sqrt{3}*\sqrt{3}}\\\\x = \frac{y\sqrt{3}}{3}\\\\x = \frac{11\sqrt{3}}{3}\\\\[/tex]

Side HG, the shorter leg, has an exact length of [tex]\text{HG} = \frac{11\sqrt{3}}{3}\\\\[/tex]

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Once we know the short leg, we double that expression to get the length of the hypotenuse. Like before, this only applies to 30-60-90 triangles.

[tex]\text{hypotenuse} = 2*(\text{short leg})\\\\\text{HI} = 2*\text{HG}\\\\\text{HI} = 2*\frac{11\sqrt{3}}{3}\\\\\text{HI} = \frac{22\sqrt{3}}{3}\\\\[/tex]

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

Since [tex]\text{HG} = \frac{11\sqrt{3}}{3}\\\\[/tex] and [tex]\text{HI} = \frac{22\sqrt{3}}{3}\\\\[/tex], this shows that choice D is the final answer.

Related Questions

Si mi hermano gana 589 pesos diarios si ha trabajado 15 días de este mes ¿cuánto dinero ha ganado?

Answers

Mi hermano ha ganado un dinero devengado de 8835 pesos en 15 días.

En esta pregunta debemos determinar el dinero devengado por un período de 15 días a partir de una tasa diaria constante. Esa cantidad es igual al producto de la tasa diaria constante, en pesos por día, y el número de días trabajados, en días:

[tex]x = 589\,\frac{\$}{dia}\times 15\,dias[/tex]

[tex]x = 8835\,\$[/tex]

Mi hermano ha ganado un dinero devengado de 8835 pesos en 15 días.

Para aprender más sobre álgebra y aritmética, invitamos cordialmente a ver esta pregunta: https://brainly.com/question/953809

If 3 basketball game tickets and 4 football game tickets were purchased for $50.25, and if 5 basketball game tickets and 5 football game tickets were purchased for $71.25, what are the costs of basketball game tickets and football game tickets?

Answers

Answer:

Basketball: $6.75

Football: $7.50

Step-by-step explanation:

lmk if you want an explanation

The costs of basketball game tickets and football game tickets are $7.5 and $6.75 respectively.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

If 3 basketball game tickets and 4 football game tickets were purchased for $50.25, and if 5 basketball game tickets and 5 football game tickets were purchased for $71.25.

The linear equation can be framed:

3x + 4y = 50.25

5x + 5y = 71.25

Here x is the cost of basketball game tickets and y is the football game ticket.

After solving the above linear equation by substitution method,

5([50.25 - 4y]/3) + 5y = 71.25

y = $6.75

x = $7.5

Thus, the costs of basketball game tickets and football game tickets are $7.5 and $6.75 respectively.

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#SPJ5

answer thisssssssssssssss

Answers

Angles ACE and BAC are congruent because they are alternate interior angles
ACE = 115

angles ABC and DCB are congruent because they are alternate interior angles
DCB =35

and for angle ACB we do
ACE + ACB + DCB = 180
115 + ACB + 35 = 180
ACB = 180 - 115 - 36
ACB = 29


If your gross monthly income is $2,500. What is your net monthly income after the government deducts the following percentages for taxes: Federal 25%, Indiana 3.4%, Social Security
6.1%, Medicare 1.4% and Local tax 1%.

Answers

Answer:

$1,577.50

Step-by-step explanation:

25+3.4+6.1+1.4+1= 36.9%

2,500*0.369 = 922.5

2500-922.5= 1577.5

Robin currently has 50 subscribers on her You.Tube channel, and Dimitri currently has 17 subscribers. Robin gains 4 subscribers every week, while Dimitri gains 7 subscribers each week.

Part A: Set up a system of equations to shows each person's subscribers.

Part B: After how many weeks will Robin and Dimitri have the same number of subscribers?

Part C: How many subscribers will Robin and Dimitri have when their subscriber count is equal?

Answers

Answer:

Part A :

Robin : 50 divided by 4 = 12.5, Robin took 12.5 Weeks to get to 50 subscribers.

Dimitri : 17 divded by 7 = 2.4, Dimitri took 2.4 weeks to get to 7 subscribers.

Part B : In 7 weeks, Dimitri will have 66 subscribers, And in 4 weeks, Robin will have 66 subscribers. So after 7 weeks for Robin and 4 for Dimitri

Part C , They will have 66 subscribers. After 7 weeks Dimitri will have 66 subcribers, and after 4 weeks Robin will have 66 subscribers.

Explanation :

I have calculated out Robins and Dimitris subscribers counts with math.

Part A: The attached image is for Robin but I didn't have time for Dimitri.

Dimitri: Currently has 17 subscribers, 7x11=77. 17+77 = 94 and the same goes for Robin.

Robin: Currently he has 50 subscribers, 4x11=44. 50+44 = 94.

Part B: After 11 weeks Robin and Dimitri will have the same number of subscribers.

Part C: Robin and Dimitri will have 94 Subscribers when their subscriber count is equal.

3 2/3 + 2.3 =

5
5 2/3
6
6 1/3

Answers

2.3 is the same as 2 1/3 is the same as 7/3

3 2/3 is the same as 11/3

11/3+7/3=18/3

18/3=6

Answer:6

first winter event question: wort 50 points and best explenation wins brainliest

whats 50 x 23 = ? Explain your awenser

Answers

Answer:

1150

Step-by-step explanation:

50x 23=150 +100=1150

9. Belinda makes 5 gallons of fruit punch per day. How many gallons will she make in a week?​

Answers

Answer:

35 gallons

Step-by-step explanation:

one week = 7 days

5 gallons per day

one week = 7 days * 5 gallons

= 35 gallons in a week

patrick had 144 coins in his collection of nickels and quarters. If the coins have a total value of $20, how many are nickels and how many are quarters?

Answers

Answer:

30

Step-by-step explanation:

If f(x) = 4x2 + 2x + 7, find the value of f(-5).
=
A. -103
B. -83
C. 97
D. 117

Answers

D. 117
4(5)^2+2(5)+7
4(25)+(10)+7
100+10+7= 117

Simplify 8 to the second power plus 2

Answers

8^2 + 2 = 64 + 2 = 66

The answer is 66 because 8 to the second power is 64 and then you add 2.

Answer:

66

Step-by-step explanation:

8^2 is equal to 64

64 +2 = 66

8^2 is 8x8

so 8x8= 64

64+2 is 66

The population of a city grew from 23,000 in 2010 to 25,000 in 2015.
a. What was the average rate of change during this time interval?
Type the answer in the box below.

Answers

The average rate of change during this time interval is 400 population per year

The average rate of change during this time interval is expressed as:

Rate of change = change in population/change in time

Change in population = 25000 - 23000

Change in population = 2000

Change in time = 2015 - 2010

Change in time = 5 years

Substitute into the formula;

Rate of change = 2000/5

Rate of change = 400

Hence the average rate of change during this time interval is 400 population per year

Learn more on Rate of change here: https://brainly.com/question/8728504

2 x 5 x 0 please help

Answers

0

0 multiplied by anything is going to always be 0

florida sales tax is 7%. How much money comes out of your pocket if u buy something for $100

Answers

Answer:

$7

Step-by-step explanation:

If you use "Is over of" the equation will be ?/100*7/100, therefore after simplifying your answer is $7

Brainliest would be appreciated! :-)

The answer you are looking for the Florida tax for $100 is 7$

If the Ending Inventory increases and everything else remains the same, what happens to the Food Cost? ​

Answers

An increase in the ending inventory will cause the cost of food sold at the end of the year to appear lower that it really is.

The cost of goods ( example, food) is directly affected by the amount of inventory at the end of an account period.

If the ending Inventory increases and everything else remains the same, the cost of goods sold is calculated as follows;

cost of food sold = Benning inventory  +  purchases  - ending inventory

From the equation above, an increase in the ending inventory will cause the cost of food sold at the end of the year to appear lower that it really is.

Learn more about ending inventory here: https://brainly.com/question/24868116

What’s is 43-14 as a percent

Answers

29 percent is your answer

What is 0.25 as a percentage

Answers

Answer:

25% that is ur answer

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Have a great day or night!

Find the difference between the lengths of the longest and shortest sides of a rectangle if its area is 924 square milimetres and its perimeter is 122 milimetres.

Answers

Length =l

Height = h

Area function = l * h = 924

Perimeter function = 2i + 2h = 122

Divide by 2

I + h = 61.

Plug in I or h for the other variable

I * (61 - I) = 924

61i - i^2 = 924

Factor the function

(-I + 28)(I - 33) = 0

l = 33 as l cannot be negative

61 - 33 = 28

h = 28

Difference between h and l is 33-28=5

Nolan had 30 minutes to do a three-problem quiz. He spent 8 7/10 minutes on question A and 4 2/5 minutes on question B. How much time did he have left for question C?

Answers

Answer:

16 9/10 minutes

Step-by-step explanation:

She is solving 3 questions, so her total time spent =

Total time = Time spent on A + Time spent on B + Time spent on C

30 minutes = 8 7/10 + 4 2/5 + Time C

Time C = 30 minutes - (8 7/10 + 4 2/5)minutes

Time C = 30 minutes - (13 1/0 minutes)

Time C = 16 9/10 minutes

Answer: 16m 54s

Step-by-step explanation:

8 7/10 + 4 2/5 = 13 1/10 or 13m 6s

30m - 13m 6s = 16m 54s

Could i have Brainliest, I am trying to rank up

2^x+2=4. yall i got this problem and i dont rlly understand how to do it. Hope yall can help me:)))))))))))))))

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Ok, so we start off with [tex]2^x+2=4[/tex]

Then, we subtract 2 from both sides so that becomes: [tex]2^x+2-2=4-2[/tex]

After that, we simplify to get: [tex]2^x=2[/tex]

Finally, the solution becomes: [tex]x=1[/tex]

Answer:

x=1

Step-by-step explanation:

2^x=4-2

2^x=2

2^x=2^1

x=1

45% of the people in the stadium are men, 23% of them are woman and the rest are children. What fraction of the people are children?​

Answers

Answer:

8/25 of the people in the stadium are children.

Step-by-step explanation:

45 + 23 = 68

100 - 68 = 32%

32/100 simplified is 8/25

You are asked to examine a t-shirt that was worn when someone was suspected to have fired a gun. The

detective wants to see if there is gunshot residue on it. Which microscope will you use for this task? SOMEONE PLZZZZ HELP ME ON THIS!

Answers

Answer:

The scanning electron microscope

Step-by-step explanation:

The scanning electron microscope can determine the proximity to a discharging firearm and/or the contact with a surface exposed to GSR

round 3,817,453 to the nearest 100

Answers

Answer:

The nearest hundredth would be 3,817,500

Step-by-step explanation:

The hundreds place is the four and the five behind it rounds the number to a up to a 5

The correct answers would be 3,817,500

the simple interest on a sum of rs 5000 at 4% p.a. for one year is __________.​

Answers

Answer:

Principal = Rs. 5000

Rate of Interest = 5%

Number of years = 2 y 3 m = 2 1/4 years

Interest = (P x N x R) / 100

ie (5000 x 9/4 x 5) /100= Rs. 562.50

Given f(x), match each expression to its correct value

Answers

Answer:

-11, f(-5)    1

Step-by-step explanation:

Number 1 is 2

Number 2 is 1

Number 3 is -11

Number 4 is 7

What you do is see the value of x in each question and see if it satisfies the requirement.
If x is less than -2(like in number 1), you substitute it into that equation and solve for x


If x is greater than or equal to -2(like in number 2,3, and 4), you substitute the value of x into the second equation.

Hope you understand!

For each equation find a value for x that makes the equation true 10=3x-6

Answers

Answer:

5.3333

or 5 and 1/3

Step-by-step explanation:

10 = 3x - 6

add six

16 = 3x

divide by 3

5.3333 = x

I hope this helps!!

Solve the linear system using elimination.
46) -2x+4y=-2
6x - y=28

Answers

Answer:

x = 5, y = 2

Step-by-step explanation:

just trust me, I used a calculator

Please helppppp quick

Answers

Answer:

option C

Step-by-step explanation:

x + 5 ≤ 13

x + 5 - 5 ≤ 13 - 5

x = ≤ 8

Answer:

x  ≤  8

Step-by-step explanation:

Move all terms not containing  x to the right side of the inequality. Then solve for x. :)

find the solution to the following system using substitution. y = - 4 + 9 y = 3x - 5

Answers

Answer:

1/2, 11/6

Step-by-step explanation:

y=-4+9y

9y-y=4

8y=4

y=1/2

3x-5=1/2

3x=5+1/2=11/2

x=11/6

 A wall in Marcus's bedroom is 813 feet high and 1615 feet long. If he paints 13 of the wall blue, how many square feet will be blue?​

Answers

Answer:

17,068,935 square feet

Step-by-step explanation:

square feet 1 wall = 813*1615 = 1312995

square feet 13 walls = 1312995*13 = 17068935 squre feet

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