A triangular brace has an angle measure of 30 degrees, with a side opposite
this angle measuring 8 inches. The base of the triangular brace, which is
adjacent to the given angle measure, is 6 inches in length. Which of the
following statements is correct?
A. The angle opposite the side measuring 6 inches has one solution
of approximately 28 degrees.
B. The angle opposite the side measuring 6 inches has two solutions
of approximately 28 degrees and 36 degrees.
O C. The angle opposite the side measuring 6 inches has one solution
of approximately 22 degrees.
D. There is not a solution for the angle opposite the side measuring 6
inches.

Answers

Answer 1

The angle opposite the side measuring 6 inches has one solution of approximately 22 degrees.

Sine rule

Sine rule is used to show the relationship between the angles of a triangle and the sides opposite to the angles. It is given by:

a / sin(A) = b / sin(B) = c / sin (C)

where A, B, C are the angles and a, b, c are the sides opposite to the angles.

From the question:

let a = 8 in, A = 30°, b = 6 in, hence:

a / sin(A) = b / sin(B)

8 / sin(30) = 6 / sin(B)

B = 22°

The angle opposite the side measuring 6 inches has one solution of approximately 22 degrees.

Find out more o Sine rule at: https://brainly.com/question/4372174


Related Questions

Can someone please help me

Answers

Answer:

x = 28

Step-by-step explanation:

Angles on a straight line = 180°

4x + 3 + 2x + 9 = 180

4x + 2x + 3 + 9 = 180

6x + 12 = 180

6x = 180 - 12

6x = 168

6x/6 = 168/6

x = 28

The answer to this question

Answers

bxksbxksnx chofndjkcjxjjsnck

1. 0.5
2. 14
3. 8
4. 10

Answers

Answer:

The awnser is 14

Step-by-step explanation:

If you multiply length x width then divide u get 14

Subtract 11x - 4y from the sum of 15x + 15y and - 18x + 15y.

Answers

Answer:

-14x + 34y

Step-by-step explanation:

First, find the sum of the two expressions by adding like terms:

(15x + 15y) + (-18x + 15y)

= -3x + 30y

Now, subtract 11x - 4y, again by combining like terms:

(-3x + 30y) - (11x - 4y)

= -14x + 34y

So, the answer is -14x + 34y

In August an online store sold 213 graphing calculators during their back to school sale. Since then, sales have increased at a rate of 5% each month. Which function can be used to determine the monthly calculator sales sine August?

Answers

Answer:

[tex]y = 213 + 0.05x[/tex]

Step-by-step explanation:

Given

[tex]Initial = 213[/tex]

[tex]Rate = 5\%[/tex]

The equation to o this is:

[tex]y = intial +rate * weeks[/tex]

[tex]y = 213 + 0.05x[/tex]

Magic Video Games, Inc., sells an expensive video games
package. Because the package is so expensive, the company wants to advertise an impressive guarantee
for the life expectancy of its computer control system.
The guarantee policy will refund the full purchase price if the computer fails during the guarantee period.
The research department has done tests that show that the mean life for the computer is 35 months, with standard deviation of 5 months. The computer
life is normally distributed. How long can the guarantee period be if management does not want to refund the purchase price on more than 6.596 of the
Magic Video packages?

Answers

Answer:

Magic Video Games, Inc., sells an expensive video games

package. Because the package is so expensive, the company wants to advertise an impressive guarantee

for the life expectancy of its computer control system.

The guarantee policy will refund the full purchase price if the computer fails during the guarantee period.

The research department has done tests that show that the mean life for the computer is 35 months, with standard deviation of 5 months. The computer

life is normally distributed. How long can the guarantee period be if management does not want to refund the purchase price on more than 6.596 of the

Magic Video packages?

Step-by-step explanation:

Which value of x would make TV IOS?
R
03
08
x
x + 4
10
X + 10
11
T
X-3
V
//
х

Answers

Answer:

11

Step-by-step explanation:

the value of x is 11 to make tv IOS

The measure value of y is 10.

Option C is correct.

What is Basic Proportionality Theorem?

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

The fundamental proportionality theorem can be used to calculate the lengths of two sides of a triangle divided by a line drawn parallel to the third side. It can also be used to determine the relationship between two equiangular triangles.

We have

RT= x+ 4

TQ= x- 3

RV= x+ 10

As, TV || QS

By using Basic Proportionality Theorem

RT / TQ = RV / VS

(x+ 4) / (x- 3) = (x+ 10)/ x

x² + 4x = x² -3x + 10x - 30

4x - 7x = -30

-3x = -30

x= 10

Thus, the required value is 10.

Learn more about Basic Proportionality Theorem here:

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#SPJ7

LOOK AT THE PHOTO AND ANSWER PLEASE

Answers

Answer:

Parallel, I think ||

Step-by-step explanation:

■■■■■■■

Yes they are parallel! Because they are on either sides of a rectangle this automatically makes them parallel.  

Which graph and equation shows a proportional relationship between r and y? y= 11.5% y = 1.5x - 1.5​

Answers

Answer:

y = 1.5x - 1.5​

Step-by-step explanation:

Model and Solve Equations with Geometry Concepts (7.11c) . ... Now substitute the values for x and y into the expression. 2(1. 3. )(1. 2. −3) ... 10.0+1.5 = 11.5.

Write an expression for "m decreased by 2.”

Answers

Answer:

m-2

Step-by-step explanation:

m is being subrtacted by 2

An artist uses 18 colors on an art palette to paint a picture. This is 72% of all the colors on the palette. How many colors are on the artist’s palette?

Answers

Answer:

25

Step-by-step explanation:

Hello i need help please

Answers

Answer:

radius = 5 cm

height = 10 cm

Volume = 261.8 cm³

Step-by-step explanation:

Radius (r) = 5 cm

Height (h) = 10 cm

Volume of the cone (V) = ⅓πr²h

Plug in the values

V = ⅓*π*5²*10

V = ⅓*π*25*10

V = 261.8 cm³ (nearest tenth)


Please help me because I don’t know

Answers

Answer: The area of the triangle would be 256.

Explanation: You need to multiply both 16 and 16 together, which will then get your answer which is 256.☺️
divide 256 by 3. area of triangle = 1/3bh

Find the missing lengths and values of square RSTU

SR
RU

Answers

Answer:
TU
SU
RT
ST
Numbers i hope this helped!?

$500 at 4% for 3 years
:FIND THE INTEREST EARNED

Answers

Answer:60$

Step-by-step explanation:


HELP PLS. Greatest change

Answers

Answer:

looks like D but im not sure

Step-by-step explanation:

Look at the slope in each equation. For the first one is 15, the second is 25, the third is 40, and the fourth is 45.

does anyone know the answer and how to show your work

Answers

Answer:  (A)-2, -1

(b) 3,0

(C) 7,2

Step-by-step explanation:

So you just go and write the place and which ever one isnt there then theres you answer. I THINK

A computer is worth $400 when it is new. After each year, it is worth hall what it was the previous year What will its worth be after 4 years? Round you answer to the nearest dollar NOT cents

A. 500$
B. 125$
C. 250$
D. 1000$

Answers

Creo que la repuesta es la D

The area of a square can be found using the equation A = s², where A is the area and s is the measure of one side of the square.

Match the equation for how to solve for the side length of a square to its description.



Drag the equation into the box to match the description.


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


[ A square has an area of 99 in² ][ - ]


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


A.) s=/99in



B.) s=(99)^2in



C.) s=99in

Answers

Answer:

s= √99 in.

Step-by-step explanation:

Anna bought textbooks and notebooks at the bookstore. The number of notebooks she bought was four
more than the number of textbooks. If the total number of notebooks she bought was 7, how many
textbooks were bought?

Answers

Answer:

3 textbooks

Step-by-step explanation:

Well 7 notebooks were brought.

She brought 4 more notebooks then textbooks.

7-4=3

Answer:

If Anna bought seven notebooks and the number of notebooks she bought was four more than textbooks, all you have to do it subtract four from seven to get three.

Step-by-step explanation:

7 - 4 = 3

A ball is thrown from an initial height of 7 feet with an initial upward velocity of 37 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=7+37t-16t²
Find all values of t for which the ball's height is 27 feet.
round your answer(s) to the nearest hundredth.

Answers

Answer:

t = 0.86 or t = 1.45

Step-by-step explanation:

h(x) = 3x + 5
g(x) = 4x – 2
Find h(x) – g(x)

Answers

Answer:

6

Step-by-step explanation:

seshhhhh is that dababy. he valid

Each of the 8 cats in a pet store was weighed. Here are their weights (in pounds):
6, 16, 15, 10, 9, 9, 7, 11
Find the mean and median weight of these cats.
If necessary, round your answers to to the nearest tenth

Answers

Answer:

mean: 10.4

median: 9.5

Step-by-step explanation:

What is the square root of 63 expanded?

Answers

Answer:

the square root of 32 times square root of 7 equals the square root of 32 times square root of 7 equals 3 times square root of 7

Step-by-step explanation:

im a mathaholic :0

-
James ran mile on Monday. On
Tuesday, he ran 3 times as far. Which
equation can be used to determine x,
how far James ran on Tuesday?

Answers

Answer:

c

Step-by-step explanation:

gggehheueuru jshgsgsgsgsgsggsgs

Calculate the volume of the figure.
2 cm
3 cm
F
|
-
-
-
3 cm
3 cm
O 15 cm
33 cm
O 45 cm
O 54 cm
What is the value of x, if the volume of the sone i

Answers

Answer:

33 cm

Step-by-step explanation:

volume of the under the pyramid Is 3×3×3=27

volume of pyramid is 3×3×2=18

divide 18 ÷3 =6

27+6=33

the reason why we divide by 3 because ti's is the formula

Answer:

1. B 130 2/3ft^3

2. B 226 in^3

3. B 33 cm^3

4. A 4 m

5. D 15m

Step-by-step explanation:

I got a 100! For connexus students, hope this helps!!

PLEASE QUICK AND NO DOWNLOADS I BEG YOU NO DOWNLOADS

Answers

Answer:

b. x=20

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The question is asking which number is bigger than 19 and less than 25.

The only one that fits the criteria is B. 20.

As a reference, look at which way the "alligator mouth" is facing. That number is supposed to be bigger.

If x>y, then x is bigger because the alligator mouth is facing the x.

Compare the number of years it will take to double money at 5% interest, with simple interest and compounded annually. What is the difference in the number of years? (Round your answer to the nearest tenth, if necessary)​

Answers

Answer:

unforntuley i dont know how to solve

Step-by-step explanation:

Simple interest means that you pay 1000000 bucks to the bank so the final answer is

gET LOst

PLEASE HELP!!!

Triangle ABC has vertices at A(-5,2), B(1,3), and C(-3,0). Determine the coordinates of the vertices for the image of the pre image is translated 4 units right.
A. A’(-9,2),B’(-3,3), C’(-7,0)
B. A’(-4,6),B’(0,7),C’(1,0)
C. A’(-1,2),B’(5,3),C’(1,0)
D. A’ (-5,-2), B’(-1,-1), C’(-3,-4)

Answers

The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

What is translation on a coordinate plane?

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.

So,

[tex]\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}[/tex]

[tex]\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}[/tex]

[tex]\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}[/tex]

Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Learn more about translation on a coordinate plane at:

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Mari used a thermometer to record temperatures of -3.4 Celsius and 1.6 Celsius . Which temperature in degrees is lower

Answers

I think is would be -3.4
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