Consider the figure shown below. How long is HG?

Consider The Figure Shown Below. How Long Is HG?

Answers

Answer 1

Answer:

HG = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos60° = [tex]\frac{1}{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{GI}{HG}[/tex] = [tex]\frac{\sqrt{2} }{HG}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

HG = 2[tex]\sqrt{2}[/tex]

Answer 2

Use trigonometry.

Angle H = 30 degrees

sin (30) = sqrt{2}/HG

HG = sqrt{2}/sin (30)

HG = 2.8284271248

HG = 2•sqrt{2}


Related Questions

Factor. x^2-2x-3 please

Answers

Answer:

(x+1)(x-3)

Step-by-step explanation:

i hope this helps :)

Look at the question below.

Answers

Answer:

23

Step-by-step explanation:

6(4) - 1

24 - 1

23

......

Answer is 23.
6(4)-1 24-1=23

14 - 2 • 7 + 0 = ?
comment down bellow you guys !!

Answers

Answer:0

Step-by-step explanatio cuz 2x7 is 14 14-14 is 0 and 0+0 is 0 so its 0

Work out the surface area of this solid prism.
8m
<5m
3m
4m

Answers

Same I don’t get it either

Please help as much as possible

Answers

Answer:

(In order 1-17)

C,A,D,A,A,D,C,I,C,D,C,I,A,I,I,C,A

Step-by-step explanation:

A=Associative

D=Distributive

I= Identity

C=Commutative

Hi! I cant figure this out... could someone please help me?

Answers

Answer:

Step-by-step explanation:

open circle on -4 and open circle on 4 and a line connecting them

PLEASE HELPP MEEE QUICK

Answers

Answer:

C

Step-by-step explanation:

7 + 6ab - ab - 4
Answer​

Answers

Answer:

You can't solve for ab, but you can simplify:

3 + 5ab

Step-by-step explanation:

7 + 6ab - ab - 4

7 + 5ab - 4

3 + 5ab

Answer:

8ab

Step-by-step explanation:

7-4+6ab-ab

3+5ab

8ab

A cylinder has a base diameter of 8ft and a height of 20ft. What is it's volume in cubic ft, to the nearest 10th place?

Answers

Answer:

1005.3 ft³

Step-by-step explanation:

cylinder has a base diameter of 8ft and a height of 20ft. What is it's volume in cubic ft, to the nearest 10th place?

Given that:

Base diameter = 8feets

Radius, r = 8/2 = 4 feets

Height h, = 20 feets

Volume of cylinder, V = πr²h

V = π * 4² * 20

V = π * 16 * 20

V = 1005.3096

V = 1005.3096 ft³

8•10^3x=1 round to the nearest hundredth

Answers

Answer:

0

Step-by-step explanation:

According to  PEMDAS: parenthesis, exponents, multiplication, division, addition, subtraction

Do we have parenthesis? NO

Do we have exponents? YES 10^3=10x10x10=1,000

Are new expression is 8x1,000x

Do we have multiplication? Yes 8x1,000=8,000

Are new expression is 8,000x

Determine the quadrant in which the terminal side of theta lies.

Answers

Answer:

A) 2nd quadrant

B) 2th quadrant

Step-by-step explanation:

hope this helps have a nice day!!

Marcia is using base ten blocks to multiply decimals. He is using the flat to represent one whole.
one whole
Which of the following multiplication expressions is Marcia representing below?

Answers

Answer:

nice

Step-by-step explanation:

Please Help ASAP
Which value of x is a solution to this equation?
2x^2 - 4x + 16 = 0
A. X = 3
B. X = -2
C. X = -3
D. X = 2

Answers

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The discriminant is ...

  b^2 -4ac = (-4)^2 -4(2)(16) = 16 -128 = -112

A negative discriminant means there are no real solutions to the equation.

_____

The complex solutions are 1±i√7.

If we assume the equation has a typographical error and is intended to be ...

  2x^2 -4x -16 = 0

The solutions are x = -2 and x = 4.

Please help me

The original blueprint for the Morenos' living room has a scale of 2 inches = feet. The family wants to use a new blueprint that shows the length of the living room to be 15 in he's. If the width of the living room on the original blueprint is 6 inches and the length is 9.6 inches, what are the scale and width of the new blueprint?

Answers

Answer:

length would be 15 inches, width would be 9.36 inches and the scale would these numbers divided by the number of feet on the original scale... not sure if its correct

The value of a stock increases by 8% each year.
1. Explain why the stock value does not increase by 80% each decade.
2. Does the value increase by more or less than 80% each decade?

Answers

Answer:

if it increases 8% each year, the next year it's not 8% of the original, but 8% of the 108% and so forth.

The increase after 10 years is (108%)^10 - 100% which is bigger than 80%.

If the value of a stock increases by 8% each year, then, that is not equal to the value of a stock increases 80% each decade.

What is Percentage Increase?

The degree to which a value increases expressed in percent form is known as percentage increase.

Given that, The value of a stock increases by 8% each year.

a) If it increases 8% each year, the next year it's not 8% of the original, but 8% of the 108% and so forth, the incasement in percentage is an exponential increase not a linear increase, so we can't say that, the value of the stock increases 80% each decade

b) Since,  (108%)¹⁰ > 80%

Hence, the increase after 10 years is (108%)¹⁰, will be bigger than 80%.

Hence, If the value of a stock increases by 8% each year then, that is not equal to the value of a stock increases 80% each decade

For more references on percentage increase, click;

https://brainly.com/question/27992848

#SPJ2

Which is the graph of 2x + 3y >-3?
aty
4 ty
4fy
4ty
4
2
2
2.
N
x
x
x
2
2.
4
2
-4
-2.
2
4
-2
-2
-2
-2
-4-2
-2
-2
41

Answers

Answer:

The third graph is correct for the inequality 2x + 3y > -3

Step-by-step explanation:

The slope of the graph is –2/3.

The y-intercept is –1

The area above the dashed be line is shaded.

To verify, choose a coordinate in the shaded area, substitute the values for x and y. Calculate and check.

For example: (1,1)

2(1) + 3(1) > –3

2 + 3 > –3

5 > –3 True.

The graph that represents [tex]2x + 3y > -3[/tex] is (3)

The inequality is given as:

[tex]2x + 3y > -3[/tex]

Subtract 2x from both sides of the inequality

[tex]3y > -3 -2x[/tex]

Divide through by 3

[tex]y > -1 -\frac 23x[/tex]

Rewrite the inequality as follows:

[tex]y > -\frac 23x-1[/tex]

The above inequality means that:

The graph has a slope of -2/3The graph as a y-intercept of -1The line of the inequality is a dotted line, and the upper part is shaded

Hence, the graph that represents [tex]2x + 3y > -3[/tex] is (3)

Read more about inequalities at:

https://brainly.com/question/234674

round to the nearest tenth 23.459​

Answers

23.459

    /\

     |

This is the tenths spot

23.5 since 5 rounds up the 4

---

hope it helps

The value of w varies jointly with x and y, and w = 5 when x = 3/4 and y =2. What is the value of w when x = 4 and y = 3?

Answers

Answer:

A ∝ BCD or A = kBCD (k = constant ), then A varies jointly as B, C and D.

Step-by-step explanation:

The value of 'w' when x = 4 and y = 3 is, 40.

What are ratio and proportion?

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, The value of w varies jointly with x and y.

Let, w ∝ xy ⇒ w = kxy.

5 = k×(3/4)×2.

5 = (3/2)k.

k = 10/3.

Now, x = 4 and y = 3.

Therefore,

w = (10/3)×4×3.

w = 40.

learn more about proportion here :

https://brainly.com/question/7096655

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A bird flew 3/5 of a mile in one
quarter of an hour. At this rate
how far will the bird fly in 2 1/2
hours?

Answers

Answer:

in 2.5 hours the bird will fly 150 miles

Step-by-step explanation:

take 60 mins and divide it into 4(=15) take 15 and multiply it by 10 leaving 150 miles in 2hours and 30 minutes

Jada has read 3/5 of a book. she has read 75 so far. how many pages are in the whole book?​

Answers

Answer: Total number of pages is 125

Step-by-step explanation:

If 3/5 of a book is equal to 75, we can conquer that 1/5 of the book is 25 pages, because 75/3=25.

With this we can do 25 x 5 = 125 total pages.

am i right? i just want to make sure

Answers

Answer:

yes

Step-by-step explanation:

can i have brainliest



Write a linear function f with the given values.
f(3)=-4,f(5)=-4

Answers

I wish you cloud ok right
Yeah

The question is in the photo.

Answers

Answer:

the first option

Step-by-step explanation:

Answer: x < 4

Step-by-step explanation: To plot an inequality, find the number and go the way the sign is pointing.

In this problem...

The less than sign is pointing left, and the number is 4. We use an open circle because the sign is not equal to. If it was, we would of put a closed circle.

<, or > = Open circle (Not shaded)

≤, or ≥ = Closed circle (Shaded)

I attached a image to proof the answer is correct.

Let me know if you have any questions.

~ Lily, from Brainly.

The area of a closet floor is 12 square feet. Mario will be placing 1/3-square-foot carpet tiles on the entire floor. How many carpet tiles will Mario use?

Answers

Mario will use 36 tiles.
(If you need to explain: I divided 12 by 1/3 and got 36, so Mario will use 36 tiles

Can someone please solve this, i need it quickly

Answers

Answer:

3x + y = 20 and x - 2y = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(a)

Given

3x + y = 17 ( subtract 3x from both sides )

y = - 3x + 17 ← in slope- intercept form

with slope m = - 3

Para;;el lines have equal slopes , then

y = - 3x + c ← is the partial equation

To find c substitute (4, 8) into the partial equation

8 = - 12 + c ⇒ c = 8 + 12 = 20

y = - 3x + 20 ← in slope- intercept form

Add 3x to both sides

3x + y = 20 ← in standard form

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

(b)

Given

y + 2x = 13 ( subtract 2x from both sides )

y = - 2x + 13 ← in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = 1 + c ⇒ c = 3 - 1 = 2

y = [tex]\frac{1}{2}[/tex] x + 2 ← in slope- intercept form

Multiply through by 2 to clear the fraction

2y = x + 4

x - 2y = - 4 ← in standard form

ILL MARK U BRAINLIEST!

Answers

They are the same I am pretty sure

Answer:

They are the same

Step-by-step explanation:

At time t=0 seconds, a clock pendulum makes its maximum angle with the vertical, reaching a positive angle of 6 degrees in one minute, the pendulum swings back and fourth 20 times. Which of the following best expresses the angle the pendulum makes with the vertical in degrees as a function of time in seconds?

Answers

Answer:

B. θ(t)= 6 cos (2π/3 t)

Step-by-step explanation:

Answer:

B) theta(t)= 6cos (2pi/3 t)

I’m not sure how to explain how I got the answer, but I did get it wrong and B was marked right. I hope this helps!

a tire rim has a diameter of 15 in what is the circumference of the tire rim use 3.14 answers 23.55, 46.10, 47.1, 94.2​

Answers

Answer:

1. 70.84

2. 144.75

3. 147.89

4.295.89

There are
questions on the Aspire English test.
A. 20
B. 65
C. 35
D. 50cc

Answers

Answer:

Answer is 50cc Number D

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

3.4.2



elaborar un cilindro de altura 6cm , perímetro de la base 15cm ¿cuánto mide el radio de la circunferencia que trazaron?





Answers

translate in english please so we can answer
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