Geometry - Law of Sines question #17. Please help, I am stuck.

Geometry - Law Of Sines Question #17. Please Help, I Am Stuck.

Answers

Answer 1

By the law of sines, m∠EFG is such that

sin(m∠EFG) / (8 in.) = sin(m∠G) / (7.5 in)

so you need to find m∠G.

The interior angles to any triangle sum to 180°, so

m∠DEG = m∠D + m∠G + 43°

m∠DEG + m∠D + m∠G = 2 (m∠D + m∠G) + 43°

180° = 2 (m∠D + m∠G) + 43°

137° = 2 (m∠D + m∠G)

68.5° = m∠D + m∠G

But ∆DEG is isosceles, so m∠D = m∠G, which means

68.5° = 2 m∠G

34.25° = m∠G

Then

sin(m∠EFG) = (8 in.) sin(34.25°) / (7.5 in)

m∠EFG ≈ sin⁻¹(0.600325) ≈ 36.8932°


Related Questions

You start at (9, 5). You move right 1 unit. Where do you end? y x 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 0 ( , )

Answers

Answer:

(10, 5)

Step-by-step explanation:

Starting coordinate : (9, 5)

x = 9 ; y = 5

Vertical distance (up and down) = y

Horizontal distance (left and right) = x

Movement to the right = positive

Movement to the left = negative

Hence, 1 unit moved to the right ; x + 1

Therefore ;

(9 + 1, 5)

= (10, 5)

A fireman has a ladder that is 13 feet
long. If he wants to reach a window
that is 12 feet above the ground, how
far from the wall should he put the
bottom of his ladder?

Answers

Answer:

10

Step-by-step explanation:

Pytageroem theorm

Answer:

5feet

Step-by-step explanation:

I think that's the answer I hope it helps you.

what is a skewed to the right histogram

Answers

Answer:

A "skewed right" distribution is one in which the tail is on the right side. A "skewed left" distribution is one in which the tail is on the left side. The above histogram is for a distribution that is skewed right. ... Be that as it may, several "typical value" metrics are often used for skewed distributions.

Discussion of Skewness: The above is a histogram of the SUNSPOT.DAT data set. A ...

Some Causes for Skewed Data: Skewed data often occur due to lower or upper

A factory-made 100,000 jars of peanut butter. 50,000 of the jars contained creamy peanut butter. What percentage of the jars of peanut butter was creamy?

Write your answer using a percent sign (%).

Answers

Answer:

50%

hope this answer helps you!

Hi please help thank you

Answers

20
This is because
2x+(6x+20)=180
8x+20=180
8x=160
8x/8=160/8
X=20

The radius of a circle is 14 m. Find its area in terms of pi

Answers

Answer:

615.44

Step-by-step explanation:

The area of the circle is 196π m².

What is a circle?

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

π = pi = 22/7R = radius

π14² = 196π m²

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3, 0), H(2, -3) is a rectangle

Answers

Answer:

Quadrilateral MATH is a rectangle

Step-by-step explanation:

Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3, 0), H(2, -3) is a rectangle

A rectangle is a quadrilateral whose opposite sides have the same lengths and are parallel.

We solve the above question using the formula below to find the length of its sides

= √(x2 - x1)² + (y2 - y1)² when we are given vertices(x1, y1) and (x2, y2)

For side MA

M (-4,-1) A(-3,2)

√(-3 - (-4))² + (2 - (-1))²

= √1² + 3²

= √1 + 9

= √10 units

For side AT

A(-3,2). T(3, 0)

√(3 - (-3))² + (0 - 2)²

= √6² + -2²

= √36 + 4

= √ 40 units

For side TH

T(3, 0), H(2, -3)

√(2 - 3)² + (-3 - 0)²

√-1² + -3²

= √1 + 9

= √10 units

For side MH

M (-4,-1) H(2, -3)

√(2 - (-4))² + (-3 - (-1))²

= √6² + 2²

= √36 + 4

= √40 units

From the above calculation, we can see that

Side MA = Side TH = √10 units

Side AT = Side MH = √40 units

Opposite sides are parallel to each other, hence quadrilateral MATH is a rectangle

A store pays $58 for a rocking chair. The store marks up the price by 50%. What is the new price?​

Answers

Answer:

$87

Step-by-step explanation:

58×50٪=29

58+29=87

A cyclist rides his bike at a speed of 27 miles per hour what is the speed in miles per minute? How many miles will the cyclist travel in 2 minutes ? Do not round answer

Answers

0.45 miles per minute. in two minutes it would be 0.9 miles

Answer:

The cyclist can travel 0.9 miles in 2 minutes.

Step-by-step explanation:

1 hour = 60 minutes

Set up a conversion equation:

27 mi/1 hr × 1hr/60 mins

It is easier to see when writing it on paper, but the fractions are set up in a way to cancel the units out until the only units left are miles and minutes

After multiplying the numerators together and then multiplying the denominators together, you should reach the answer:

27 mi/60 mins

The cyclist can travel 27 miles in 60 minutes, but how many miles can he travel in 2 minutes?

Set up an equation:

Variable x = number of miles

27 mi/60 mins = x/2 mins

Cross multiply

27 × 2 = 60 × x

54 = 60x

Divide both sides by 60

0.9 = x

If the graph below corresponds to the equation y = x2 + bx + c, what are the values of b and c?



A. b = −1,c = 2.
B. b = 2, c= −1
C. b = −1,c = −2
D. b = 1, c= −2

Answers

Answer:

C. b = -1, c = -2

Step-by-step explanation:

2 roots: x = -1 and x = 2

(x+1)(x-2) = 0

y = x² - x -2

b= -1 , c = -2

Answer:

The andswer is C    b= -1 c=-2

Step-by-step explanation:

I took the quiz!!

make x the subject

PLEASE HELP ILL GIVE BRAINLIEST ASAP

Answers

Answer:

[tex]x = \frac{(a+1)f^3}{2e}[/tex]

Step-by-step explanation:

[tex]\frac{a + 1}{2x} = \frac{e}{f^3}\\~\\\\a+1 = \frac{2ex}{f^3}\\~\\\frac{a + 1}{2e} = \frac{x}{f^3}\\~\\x = \frac{(a+1)f^3}{2e}[/tex]

math question:

simon believes that 3^0 • 3^2 is equal to 1 because 0 • 2 = 0 and any number raised to a power of 0 is 1. Is Simon correct? Justify your response.

Answers

Answer:

Simon is incorrect

Step-by-step explanation:

3^0 is not 0, it is 1.

A way of thinking about this is if to get from 3^2 to 3^1, you need to divide by 3, then to get from 3^1 to 3^0 you need to divide by 3 again. 3 divided by 3 is 1.

This means 3^0*3^2=1*9=9

3^0*3^2=1
1*6=6 not 1

simon's wrong but he is right when he says any number raised to a power of 0 is 1 and that 0*2=2 but here its 1*6=6 not 0 or 1*2=2

You start at (10, 9). You move left 9 units. Where do you end?​

Answers

Answer:

(1,9)

Step-by-step explanation:

Answer:

(1,9)

Step-by-step explanation:

=
2
у
when x = 21
y=3* + 20

Answers

Answer:

Step-by-step explanation:

A regular hexagonal prism has an edge length 11 cm, and height 8 cm. Identify the volume of the prism to the nearest tenth.

Answers

Answer:

it may be V ≈ 4191.6 cm3 so sorry if i'm wrong!!!

Step-by-step explanation:

Answer: V ≈ 2514.9 cm3

Step-by-step explanation:

To find the volume of the prism, first calculate the area of the base.

To find the apothem of the hexagonal base, recognize that the sum of the measures of the interior angles in a hexagon is (6−2)⋅180°=720°. So, the interior angle has measure 720°6/=120°.

The base angle of the triangles with the hexagon's sides as their base is one-half of 120°, or 60°. The apothem bisects these triangles to form two right triangles with the short leg length of 5.5 cm.

By the definition of tangent, tan 60°=?/5.5.

Solve for ?.

?=5.5 ⋅ tan 60°

Therefore, the apothem length equals 5.5 ⋅ tan 60°.

The area of a hexagonal base.

B=6⋅(12⋅11⋅?)

Substitute 5.5⋅tan60° for ?.

B=6⋅(12⋅11⋅5.5 ⋅ tan60°)

Simplify.

B=181.5 ⋅ tan60° cm2

The volume of a prism.

V=Bh

Substitute 181.5 ⋅ tan60° for B and 8 for h.

V=(181.5 ⋅ tan60°)⋅8

Multiply 181.5 by 8.

V=1452 ⋅ tan60°

Use a calculator to approximate.

V≈2514.9 cm3

Therefore, the volume of the hexagonal prism is approximately 2514.9 cm3.

A right cylinder has a height of 8 inches and a volume of 100 cubic inches. Which measurement is closest to the radius, in inches, of the cylinder? B. C. 16 D. 50​

Answers

Answer:

A

Step-by-step explanation:

volume of a cylinder:

[tex]V=\pi r^2h[/tex]

where r = radius and h = height

We are given the volume (V) and the height (h) and we need to find the radius (r).

To find the radius we are going to want to plug in the given values into the formula for volume of a cylinder and solve for r

so, * plug in given values *

[tex]400= \pi r^28[/tex]

Now we solve for r

step 1 take the square root of each side

[tex]\sqrt{400} =20\\\sqrt{\pi r^28} =\sqrt{\pi } 4*r\\[/tex]

now we have [tex]20=\sqrt{\pi } 4*r[/tex]

step 2 divide each side by sqrt (π) 4

[tex]\frac{20}{\sqrt{\pi } 4} =3.989 \\\\\frac{\sqrt{\pi } 4*r}{\sqrt{\pi } 4}=r\\[/tex]

we're left with r = 3.989

Finally we round to the nearest whole number and get that the answer is A.4

Help please! Im on my last question! 15 points.
Question below!

Answers

Answer:

n^2 + 12 = 61

-12             -12

  n^2 = 49

Step-by-step explanation:

7 is your answer

7 x 7 = 49 + 12 = 61

A or B
Choose 1 answer:

Answers

Answer:

B

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

4 parts broken into 4 parts

Answer:

b

Step-by-step explanation:

since you are dividing by four, the graph must show 1/4 in for divisions.

I Mark Brainliest ! No Bots Plz
Select All that apply

Answers

Answer:

i think its the second and third

Step-by-step explanation:

im not completely sure though so please dont get mad if its wrong

You know that you want some type of wood flooring. You found these options at the store.

Wood Laminate: $1.65
Engineered Wood: $4.09
Solid wood: $5.59

Calculate the total cost of each material to determine which ones you can afford.
Must show all work.

Answers

Answer:

how much wood do you need

PLSSSSS HELP I GIVE U ANYTHING JUST PLZ HELP!!!!!!!!!!!!

Answers

Answer:

0.7

Step-by-step explanation:

Answer:

this is for scamming me

Step-by-step explanation:

Cameron has a rectangular cooler to bring to a picnic. The cooler is 15 inches long, 12 inches wide, and 20 inches high. What is the volume of the cooler in cubic inches?

Answers

Answer:

21

Step-by-step explanation:

Can someone please help me with math.

Answers

I think that the correct answers are a,d,c

Item 14
Find the missing dimension. Use the scale factor 1 : 12.

Answers

Answer:

3.84m

Step-by-step explanation:

If the scale for this Water tower is 1 : 12 then this means that for every 1cm of the model, the actual water tower has 12cm. Therefore, in order to find the actual depth of the water tower we first need to multiply the depth of the model by 12.

32cm * 12 = 384cm

1 cm is equal to 0.01 m , therefore we now have to multiply the depth of the actual water tower which is in cm by 0.01 to get the actual depth in meters

384 * 0.01 = 3.84m

I NEED HELP ON THIS ILL GIVE 10 POINTS!

Answers

Answer:

area is 60 cm sq units

Step-by-step explanation:

16+12+12+20=

16+24+20

40+20=60

Area is 60 cm sq, Hope that helped

NEED ANSWERED ASAP PLEASE
sin(0)= -4 sqrt 29 / 29

Answers

Answer:

Is - 4

Step-by-step explanation:

29/29  cancel it out

so it will leave -4 out

What is the value of the third quartile of the box plot shown?


39

39

25

25

20

20

19

19

Answers

Hello, I Am BrotherEye

Answer: Here is an Example On How To Solve Your Problem.

Step-by-step explanation:

Explanation:

29

,

33

,

36

,

37

,

39

,

40

,

41

The minimum is the lowest number in the data set.

Since it is listed from smallest to largest, we know that the minimum is

29

.

The median is the middle number. Cancel out

3

numbers from each side and we are left with the median:

29

,

33

,

36

,

37

,

39

,

40

,

41

Therefore, the median is

37

.

The first quartile (Q1) is the median of the lower half of data which lies at 25% of the data.

Let's look at the lower half of numbers:

29

,

33

,

36

The number in the middle is

33

, so that is the first quartile.

The third quartile (Q3) is the median of the upper half of data which lies at 75% of the data.

Let's look at the upper half of numbers:

39

,

40

,

41

The number in the middle is

40

, so that is the third quartile.

The maximum is the highest number in the data set; it is

41

.

So here's the five-number summary:

Minimum: 29

First quartile: 33

Median: 37

Third quartile: 40

Maximum: 41

convert 0,6 to percentage​

Answers

Answer:

6/10 is the percentage form of 0.6

Answer:

0,6 to a percentage is 60%.

I hope this helps

Please help me with my work

Answers

Answer:

10

Step-by-step explanation:

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36+64 = square root of 100

square root of 100 is 10

The m<3 = (2x + 10) and m<6 = (3x-15) find the value of x, m<3 and M<6

Answers

Answer:

x=25

m∠3=60

m∠60=60

Step-by-step explanation:

angle3= angle6

2x+10=3x-15

x=25

m∠3=2(25)+10=60=m∠6

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