Use Law of Sines or Law of Cosines to solve for the missing parts of each triangle​

Use Law Of Sines Or Law Of Cosines To Solve For The Missing Parts Of Each Triangle

Answers

Answer 1

Answer:

[tex]x = 9.7[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find x

Using law of sine, we have:

[tex]\frac{a}{sin A} = \frac{b}{Sin B}[/tex]

So, we have:

[tex]\frac{x}{sin 32} = \frac{18}{Sin 100}[/tex]

Make x the subject

[tex]x = \frac{18 * sin 32}{Sin 100}[/tex]

[tex]x = \frac{18 * 0.5299}{0.9848}[/tex]

[tex]x = 9.685[/tex]

[tex]x = 9.7[/tex] -- approximated


Related Questions

Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Find the angle of elevation to the sun given that a 7.6 meter flagpole casts an 18.2 meter shadow on the ground.
Quick Answer please!!!!​​

Answers

Answer:

22.7

Step-by-step explanation:

Okay so the situation given shows a right triangle with the two sides being 7.6 and 18.2. So we can find the angle of elevation using tangent, which is tan-1*7.6/18.2. I got 22.66 so 22.7

The function g(x) is defined as shown.



StartLayout enlarged left-brace 1st row 1st column 3x minus 2, 2nd column negative 4 less-than-or-equal-to x less-than negative 2 2nd row 1st column negative x minus 1, 2nd column negative 2 less-than-or-equal-to x less-than 1 3rd row 1st column 6, 2nd column 1 less-than-or-equal-to x less-than-or-equal-to 3 EndLayout

What is the value of g(0)?

−2
−1
3
6

Answers

Answer:

B:-1

Step-by-step explanation:

Just took test 2021

Answer:

Step-by-step explanation:

The given function is a piecewise function with characteristics that vary with the value of x.

Please find attached the graph of h(x).

Reasons:

The given information is presented as follows;

From the above piecewise function, we have;

For x ≤ 0, the slope of the graph of h(x) =

For 0 < x ≤ 3, the slope of the graph of h(x) =

For x ≥ 4, the slope of the graph of h(x) =

Therefore, as we progress from left to right, the slope of h(x) increases and

the slope of the graph becomes steeper.

The graph of h(x) is plotted with the given equations using MS Excel as

shown in the attached diagram.

Find LM.
A.) 5
B.) 17.32
C.) 9
D.) 8.66

Answers

Answer:

Step-by-step explanation:

City A and B 2,000 miles Coty C and D 4100 miles how many inches are they​

Answers

Answer:

city a and b 1.2672e+8

city c and d 2.5978e+8

Step-by-step explanation

what they said hope that u get it right

ALGEBRAIC EXPRESSION:
1.Subtract q from p
2.Multiply p by q
3.Divide 20 by p
4.8 times p
5.The sum of p and q
6.Add 15 to p
7.Subtract 25 from q
(pls help me am just new to this lesson)

Answers

Step-by-step explanation:

1. p-q

2. q×p

3.p÷20

4.8*p (8p)

5.p+q

6.p+15

7.q-25

Due Now
How do matter and energy move through an ecosystem?

Answers

Step-by-step explanation:

How Matter Moves Through Ecosystems

Decomposers release nutrients when they break down dead organisms. The nutrients are taken up by plants through their roots. The nutrients pass to primary consumers when they eat the plants. The nutrients pass to higher-level consumers when they eat lower-level consumers. When living things die, the cycle repeats.

How Energy Moves Through Ecosystems

Energy is transferred between organisms in food webs from producers to consumers. The energy is used by organisms to carry out complex tasks. The vast majority of energy that exists in food webs originates from the sun and is converted (transformed) into chemical energy by the process of photosynthesis in plants. A small proportion of this chemical energy is transformed directly into heat when compounds are broken down during resp​iration in plants. The majority of the chemical energy stored in plants is transformed into other forms by an assortment of consumers, such as cows, rabbits, horses, sheep, caterpillars, and other insects eating plants.

nequalities in Non Standard Form
Question 1 of 10
Solve the inequality and enter your solution as an inequality comparing the
variable to the solution
-19> x-26
Answer here

Answers

Answer:

x < 31 I think

American League baseball teams play their games with the designated hitter rule, meaning that pitchers do not bat. The league believes that replacing the pitcher, traditionally a weak hitter, with another player in the batting order produces more runs and generates more interest among fans. Below are the average numbers of runs score in American League and National League stadiums for the first half of the 2001 season. **American:** 11.1, 10.8, 10.8, 10.3, 10.3, 10.1,10.0, 9.5, 9.4, 9.3, 9.2, 9.2, 9.0, 8.3 **National:** 14.0, 11.6, 10.4, 10.3, 10.2, 9.5, 9.5, 9.5, 9.5, 9.1, 8.8, 8.4, 8.3, 8.2, 8.1, 7.9 (a) Create two box plots to display this data and comment on what you see. (b) Estimate the mean number of runs scored in American League games with a 95% CI. What concerns do you have about making a similar CI for National League games

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

**American:**

11.1, 10.8, 10.8, 10.3, 10.3, 10.1,10.0, 9.5, 9.4, 9.3, 9.2, 9.2, 9.0, 8.3

**National:**

14.0, 11.6, 10.4, 10.3, 10.2, 9.5, 9.5, 9.5, 9.5, 9.1, 8.8, 8.4, 8.3, 8.2, 8.1, 7.9

Kindly view attached picture for boxplot :

Using the relation :

Mean ± Zcritical * s/sqrt(n)

Zcritical at 95% = 1.96

National league :

Mean = 9.58125

Standard deviation = 1.5

9.58125 - 1.96 * 1.5/4 = 8.84625

9.58125 + 1.96 * 1.5/4 = 10.31625

(8.84625 ; 10.31625)

American League :

Mean = 9.807

Standard deviation = 0.805

9.807 - 1.96 * 0.805/sqrt(14)= 9.3853152

9.807 + 1.96 * 0.805/sqrt(14) = 10.228684

(8.84625 ; 10.31625)

The giraffes roam 612 acres of grasslands and the tigers roam 346 few acres. How many acres do they roam combined?

Answers

Answer:

They roam 958 acres combined.

Step-by-step explanation:

612 + 346

= 958

Does a triangle with the side lengths exist 11, 28, 16

Answers

Answer:

No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Step-by-step explanation:

finds the value of x and Y.
2x+3y=5
X-2y=-1​

Answers

Answer:

x=1

y=1

Step-by-step explanation:

2x+3y=5.........eq1

x-2y=-1........eq2

therefore: x=-1+2y

Subt. eq 3 into eq2

2x+3y=5

2(-1+2y) +3y=5

-2+4y+3y=5

7y=5+2

7y/7=7/7

y=1

therefore: Subt. y=1 into eq2

x-2y=-1

x-2(1)=-1

x-2=-1

x=-1+2

x=1

4. Find the following function values.


(3)/ (3)

( (2))

f(f'(-4))

g(x+2)​

Answers

Answer:

1. 9

2.2

3.0

4.gx +2g

Step-by-step explanation:

plz plz plz, HELP!!!! I will give u brainlylist

Answers

Answer:

69

Step-by-step explanation:

thats the answer now give me brainliest NOW:)

Who knows how to do this please i need help I don’t understand

Answers

Answer:

9,4,0,1

Step-by-step explanation:

They give you different values for the X so all you have to do is plug in the X to the different equations

2 + ( x +24) + (2+x) = 40 find the value of x

Answers

X=6 if you need an explanation commu

Jose purchased 105 slices of pizza to sell at his school's fundraiser, yet at the end of the day, he had only sold 58. What is his percent of error? PLS HELP

Answers

Answer:

awww well look at that my best friend is on brainly, i need help too <3

Step-by-step explanation:

please help asap !!!!!! Which equation has one solution for x?

Answers

Question number b is the correct one

Answer:

I think C

Step-by-step explanation:

A has no solution

B has no X

D has infinite solutions

Consider the expressions show below, please help me!

Answers

Answer:

(3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to expression -7x² - 2x + 5

(-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent expression to 7x² + 2x - 5

(12x² + 6x - 5) - (5x² + 8x - 12) is equivalent expression to 7x² - 2x + 7

Step-by-step explanation:

✔️(3x² - 6x + 11) - (10x² - 4x + 6)

Open the bracket by applying the distributive property

3x² - 6x + 11 - 10x² + 4x - 6

Add like terms

-7x² - 2x + 5

Therefore:

(3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to expression -7x² - 2x + 5

✔️(-3x² - 5x - 3) - (-10x² - 7x + 2)

Apply distributive property

-3x² - 5x - 3 + 10x² + 7x - 2

Add like terms

7x² + 2x - 5

Therefore:

(-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent expression to 7x² + 2x - 5

✔️(12x² + 6x - 5) - (5x² + 8x - 12)

12x² + 6x - 5 - 5x² - 8x + 12

Add like terms

7x² - 2x + 7

Therefore:

(12x² + 6x - 5) - (5x² + 8x - 12) is equivalent expression to 7x² - 2x + 7

What is 3/10% in fraction form?

Answers

Answer:

im pretty sure its 3/10

Step-by-step explanation:

A right rectangular prism has a length of 8 centimeters, a width of 3 centimeters, and a height of 4 centimeters.

What is the surface area of the prism?

____cm2

a) 96

b) 104

c) 136​

Answers

Answer:

I believe the answer is C. 136 cm2

I think the answer is . C. 136 cm

Is 9 a solution of the equation 9x+8=7x?

Answers

Answer:

Download ka po ng PHOTO MATH app . with solution na yan:) lahat ng problema mo sa solving sagot agad

Solve the inequality

Answers

the answer would be

-3 ≤ x ≤ 5

ASAP PLZ I WILL GIVE BRAINLIEST

The sum of a number and twenty-one is shy-four What is the value of the number? The number equals​

Answers

Answer:

43

Step-by-step explanation:

64-21= 43

Answer:

The answer is 43

Step-by-step explanation:

21+x=64  x=64-21  x=43

Solve using the quadratic formula.
q2 + 69 + 9 = 0

Answers

Answer:

the value of q = -3

Step-by-step explanation:

The computation of the equation is shown below:

Given that

q^2 + 6q + 9 = 0

q^2 + 3q+ 3q + 9

q(q + 3) + 3(q + 3)

(q+3) (q+3)

q = -3

Hence, after solving it the value of q = -3

Factor out the greatest common factor in 12x2 + 18x.
PLEASEE HELLPPPP

Answers

It's 42x you are so welcome lol

Matthew has a shipping carton in the shape of a right rectangular prism. The volume of the shipping carton is 11. cubic meters. The
height of the shipping carton is 7 meters and the width is 2 meters.
What is the length of Matthew's shipping carton?
fraction in simplest form in the box

Answers

Answer:

Height = 0.7857 m = 13/16 m

Step-by-step explanation:

Height x 7 x 2 = 11

Height = 0.7857 m = 13/16 m



2(4y) + 4(3r) answer

Answers

Answer: 8y+12r

Step-by-step explanation:

Take the equation

2(4y)+4(3r)

Distribute the 2 and 4 into the parenthesis'

8y+12r

Let's simply:
___________
2(4y) + 4(3r)
= 8y + 12r

the answer to your question is 12r + 8y

What is the period of 1-sin 2πx/3? Please explain.

Answers

Answer:

Notice, period of function sin(kx) is 2π/k where k is constant (coefficient of x ) since coefficient of x in sin(2πx/3) is k=2π/3  hence the period of sin(2πx/3) is 2π/(2π/3)=3

Step-by-step explanation:

please help i put pic of question

Answers

Answer: [ -8, -5] or [1, 4]

Step-by-step explanation:

Thats what I got I'm in 7th and I havent learned this yet but hope I helped <3!!!

What is the value of x?
K
х
X-6
Q
P
5
ال)
L
J

Answers

Answer:

C

Step-by-step explanation:

The value of x is equal to 9

Other Questions
please help its due in 10 minRead the excerpt from Lord of the Flies.Ralph! Stop laughing like that. Look, there aint no need, Ralph! Whats the others going to think?At last Ralph stopped. He was shivering."Piggy.""Uh?""That was Simon.""You said that before.""Piggy.""Uh?""That was murder.""You stop it!" said Piggy, shrilly. "What goodre you doing talking like that?Question 1Part AWhat decision do Ralph and Piggy make in the excerpt?They agree to pretend that Simon has simply run off.They decide to blame Simon for pretending to be the beast.They agree to pretend that they were not part of the incident.They decide to tell Jack that he must stop hunting the island's pigs.Question 2Part BHow does the decision in Part A affect the way readers view Ralph and Piggy?It makes it clear to readers how deeply ashamed of their actions they are.It demonstrates to readers that Ralph and Piggy are admirable figures.It shows readers that Ralph and Piggy are exactly like Jack.It indicates to readers that Ralph and Piggy are not responsible for Simon's death. the sitting and the time frame of the story the ravine A sled starts off with an initial velocity of 8 m/s and slows down to 2 m/s after 3 seconds. What was its acceleration? Line p has a slope of -7/8Line q is parallel to line p. What is the slope of line q?Simplify your answer and write it as a proper fraction, improper fraction, or integer. who is the first President of german The current Texas Constitution embodies the political sentiments of its time with itsemphasis on low salaries for governing officials, biennial legislative sessions, amandate for a balanced budget, popular election of all officials to include judges, and asystematic approach to strengthen the governor's powers.O TrueO False 1. What is the equation of the line that is perpendicular to the line y = -2x + 12 andpasses through point (-2, 8)?A. y = 1/2x - 7B. y = -1/2x +7C. y = 1/2x + 7D. y = -1/2x - 7 What was the outcome of the Third Crusade?The Crusaders made a treaty with the MuslimsThe Crusaders looted Constantinople and never arrived in the Holy Land.The Crusaders were defeated by the Muslims.The Crusaders retook most of the Holy Land. Explain the causes and effects of movements to redistribute economic resources. A person places $13900 in an investment account earning an annual rate of 2.8%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years. Quadrilateral abcd is rotated 90 degrees clockwise about the origin. What are the coordinates of A'B'C'D? __________ is the force of air molecules pushing on a surface.A. TemperatureB. Air pressureC. HumidityD. Cloudiness Which part of a calcium atom in the ground state is represented by the dots in its Lewis electron-dot diagram? What is money laundering A taking money rightfully B stealing of jewelry C the concealment of the origins of illegally obtained money,D ironing money can someone plz help me with this i will give brainliest A pine tree is a conifer. What type of plant is a conifer?anangiosperma gymnosperm A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = 16t2 + 48t, where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? t = 3; It takes the ball 3 seconds to reach the maximum height and 3 seconds to fall back to the ground. t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground. t = 1.5; It takes the ball 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground. t = 1.5; It takes the ball 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground. Describe where the line of reflection is in this picture. How many solutions does the nonlinear system of equations graphed below have?A. ZeroB. TwoC. FourD. One Can some one help me please?