Determine the number of possible triangles.
7. A=108, a=9, b = 7

Answers

Answer 1

Complete question is;

Find all solutions for the given triangle, if possible. If no solution exists, write no solution. Round side lengths to the nearest tenth and angle measures to the nearest degree.

a = 9, b = 7, A = 108°

Answer:

c = 3.8

C = 24°

B = 48°

Step-by-step explanation:

From law of sines, we can find B.

a/sin A = b/sin B

sin B = (bsinA)/a

sin B = (7 × sin 108)/9

sin B = 0.7397

B = sin^(-1) 0.7397

B ≈ 48°

Sum of angles in a triangle = 180°

Thus;

C = 180 - (A + B)

C = 180 - (108 + 48)

C = 24°

Again, using law of sines, we have;

a/sin A = c/sin C

c = (a•sin C)/(sin A)

c = (9 × sin 24)/(sin 108)

c = 3.849

To the nearest tenth gives;

c = 3.8


Related Questions

Rahim was asked to make p the subject of this formula
Q = 5/3 -7
He started his answer as follows
3Q = p - 21 hence p =
Complete Rahim's final answer.

Answers

Answer:

p = 63

Step-by-step explanation:

3Q = p - 21

transfer the -21 to the left as the value of Q. Since it was negative, when we transfer it to the left it will turn to poditve so,

3(21) = p

multiply 3 and 21 so 3 multiplied by 21 is equal to,

63 = p, then the answer is p = 63

What is the perimeter of the quadrilateral ABCD?
11 B
A
8
C С
D
24
38
33
35

Answers

Answer:

triangle abd is isosceles triangle and triangle dbc is equilateral triangle.

opposite sides of equal angles are same. so, ad= bd

and bd is the side of equilateral triangle. so, bd=bc=dc

perimeter of quadrilateral = sum of all sides.

perimeter=11+8+8+8

perimeter =35

The perimeter of the given quadrilateral is 35 units.

What is a quadrilateral?

A polygon with four sides, four angles, and four vertices is called a quadrilateral. The Latin words Quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral.

We know the perimeter of any planer figure is the sum of the lengths of all the sides.

We have ΔABD with side lengths 8 units and 11 units with two similar angles.

∴ The length opposite to the missing side will also be 8 units and hence

ΔBCD will also the side lengths of 8 units as it is an equilateral triangle.

∴ The perimeter of the quadrilateral is (11 + 8 + 8 + 8) units.

= 24 + 11 units.

= 35 units.

learn more about quadrilaterals here :

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Can someone please solve this, can you please show your work.

x - 4 = -3

Answers

Step-by-step explanation:

We need to find x in this question.

x - 4 = -3

So, shifting -4 from one side to another, we get:-

x = -3 + 4

[+4 because the sign changes when we replace the numbers]

x = 4 - 3

x = 1 is the required answer.

Hope it helps :)

Given B=45, C=95, & c=5. Find b. This is Laws of Sines

Answers

Answer:

b =  3.55 to the nearest hundredth.

Step-by-step explanation:

b / sin B = c / sin C

b / sin 45 = 5 / sin 95

b = 5 sin 45 / sin 95

= 3.549.

Stonehenge is one of the most famous historical sites in the world. It is believed to
be a burial site built around 2000BC. It covers an area of 804m2. What is the radius
of Stonehenge

Answers

Answer: Radius is 15.9975 meters.

Step-by-step explanation:

The formula to find radius of circle is r=[tex]\sqrt{A/\pi }[/tex] so plug in our known variables and solve...

r=[tex]\sqrt{804/\pi }[/tex]

r=[tex]\sqrt{255.9211}[/tex]

r=15.9975

One of the measures of a triangle is 30º. If the sum of the other 2 angles is 150º and the differnce their measures is 18º what are the of the unkown angles

Answers

Answer: 84° & 66°

Step-by-step explanation:

find our variables...

difference in two unknown angles is 18 so...

Let's use a, b, & c to set up

a=30 b=b c=b-18

150=b+c

150=b+(b-18)

150=2b-18

168=2b

84=b

Use our known b to find c...

c=b-18

c=84-18

c=66

Adding all three up to make sure they give us 180 degrees is a good way to check our work.

a+b+c=

30+84+66=180

please help with number 2

Answers

Answer:

3 and 4

36 and 48

Step-by-step explanation:

you got the 1 wrong

should be 5 and 4

20 and 16

Consider the system of equation
2x+3y=8
2x+6y=12
what could be the first step in solving the system of equations using elimination

a. Multiply the first equation by -1
b. Add 4 to both sides of the first equation
c. Add the two equations
d. Multiply the second equation by 2

Answers

Answer:

firt thing i would do is take out things that are alike but if these are the options then i would a) multiply the first equation by -1

the diagram shows a door that has a window in it. the front faces of the door and the window are similar rectangles the dimensions shown. what is the height of the window in centimeters?

Answers

Answer:

Step-by-step explanation:

Write an equation of the line with a slope of −7 and y-intercept of 1.​

Answers

Answer:

y = -7x + 1

Step-by-step explanation:

Remember the formula for slope-intercept form: y = mx+ b

m is equal to the slope value

b is equal to the y-intercept value

Meaning, when you substitute the values in, you get:

y = -7x + 1

Answer:

y = -7x - 1 is the desired equation.

Step-by-step explanation:

Choose the form of the equation of a straight line that requires the least amount of work.  In this particular case we are given the slope (-7) and the y-intercept (1), and so use the slope-intercept form y = mx + b:

y = -7x - 1 is the desired equation.

What is the angle of elevation to the nearest tenth of a degree to the top of a 55ft building from 95ft away? Please help fast.

Answers

Answer:

30.1°

Step-by-step explanation:

Let A = angle of elevation

tan A = 55/95

A = arctan 55/95

    = 30.1°

Someone please help me ASAP !!!!!!

Answers

Answer:

No, as the one becomes x^2/x^3 and the other is x^3/x^2, which is not equivalent.

Step-by-step explanation:

Pleasssss helppppppp!!!

Answers

Answer:

just find it then multiply it by 0.50 because 0.50 is 1/2 converted to a decimal and thats the scale factor

Step-by-step explanation:

I need help solving this problem

Answers

Answer:

- 5/13

Step-by-step explanation:

tans = 5/12 = height/base

Using Pythagoras, hypotenuse = √12² + 5² = 13

Therefore coss had to be 12/13

But since cos s < 0, cos s = - 12/13

Thus,

tanA = sinA/cosA

tanA cosA = sinA

(5/12)(- 12/13) = sinA

- 5/13 = sinA

Answer:

sin s = - [tex]\frac{5}{13}[/tex]

Step-by-step explanation:

Given

tan s = [tex]\frac{5}{12}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

Then this is a 5- 12- 13 right triangle with hypotenuse = 13

Since tan s > 0 and cos s < 0

Then s is in the third quadrant where sin s < 0

sin s = [tex]\frac{opposite}{hypotenuse}[/tex] = - [tex]\frac{5}{13}[/tex]

Can someone help me on this plzzz

Answers

Answer:

6

Step-by-step explanation:

z = 2

4z^2- 3z - 4

4(2)^2 - 3(2) - 4

4(4) - 3(2) - 4

16 - 6 - 4

6

brainliest is appreciated

Please answer this fast, What is the Area of the triangle Is it In or In2

Answers

Answer:

the area should be in in2

The area should in2


A girl gets $ 80000 for 5 days 'work How much does she get for 15 days. ?​

Answers

Answer: 80,000 for 5 days so 80,000 x 15 is 120,000 :)

Step-by-step explanation:

Answer:

240,000

Step-by-step explanation:

you do

80,000/5

= 16,000 (how much they make in one day)

16,000 x 15 (the days they work)

= 240,000 (amount they make in 15 days)

please show your work.​

Answers

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

2 [3b - 4] = 5 [b + 6]
solve this equation

Answers

Answer:

b = 38

Step-by-step explanation:

*Apply the Distributive Property*

2 [3b - 4] = 5 [b + 6]

6b - 8 = 5b + 30            

6b = 5b + 38                  

b = 38

Solve b by simplifying both sides, then isolate the equation
b=38



I will give BRIANLY for the correct answer.

7. Which is the odd one out?

A. inch
B. furlong
C. litre
D. foot​

Answers

Answer:

c

Step-by-step explanation:

inch, foot, and furlong all measure distance or length, while liter is only for liquids!

fun fact a furlong is an eighth of a mile, 220 yards.

Answer:

C.

Step-by-step explanation:

C. litre as it's a unit of volume. The others are units of length.

It’s due today please help

Answers

split the figure into two triangles
area of triangle is base x height divide by 2
12 x 4 = 48
48 divide by 2 is 24
12 x 11 = 132
132 divide by 2 is 66
66 + 24 = 90

GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
4

Answers

Answer:

5.7 unit

Step-by-step explanation:

From the question,

Applying pythagoras theorem,

a² = b²+c²....................... Equation 1

From the diagram.

a = /QX/, b = /XR/, c = /RQ/

Given: b = /XR/ = 4 units, c = /RQ/ = 4 units.

Substitute these values into equation 1

a² = 4²+4²

a² = 16+16

a² = 32

a = [tex]\sqrt{32}[/tex]

a = 5.7 units

Hence, QX = 5.7 units

PLEASE HELP THIS IS URGENT!!!!!!!

Answers

Answer:

b

because the square tote works

Step-by-step explanation:

next

Home Depot is delivering washing machines to buyers. The washing machines are rectangular prisms that measure 5 ft x 5 ft x 6 ft. These machines are then packed into a delivery truck with dimensions of 30 ft x 15 ft x 12½ ft.

What is the volume of a washing machine Please show work

Answers

Step-by-step explanation:

Volume of Washing machine = Volume of Rectangle

= Length x Width x Height

= 5 x 6 x 6

[tex] = 180ft^{3} [/tex]

The sum of-3 and four times a number is no more than -11." Whats the inequality ​

Answers

Answer:

-3+4x<=-11

No more than is <=

The inequality ​for the sum of-3 and four times a number is no more than -11 is -3 + 4x ≤ -1.

The relationship between two expressions or values which are not equal is called inequality. It shows how many times one expression is less than or equal, or greater than another expression.

Let the unknown variable is  [tex]x[/tex].

According to the question,

The sum of -3  and four times of number be [tex]4x - 3\\[/tex] is less than -11.

So, the equation will be,

[tex]- 3 + 4 x < -11[/tex].

Thus, the inequality will be [tex]- 3 + 4 x < -11[/tex] .

Learn more about inequality here:

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3. There are 25 students in the debate
club. Of those students, 15 are girls.
What percent of the students in the
debate club are girls?
ANSWER Quick PLEASE

Answers

Answer:

60%

Step-by-step explanation:

To make a percent, it needs to be out of 100. So, the fraction would be 15/25. To make it 100, multiply each by 4 to get 100 since 25 times 4 equals 100. 15 times 4 is 60, so its 60 percent.

Answer:

In the debate  club, 60% of the students are girls.

Step-by-step explanation:

(15) girls divide by total students(25)

15/25 = .6

.6*100 = 60%

Help me pllllllzzzzz, been stuck for a while, plz no random cra* bc I need answer, and u get brainliest

Lin’s family needs to travel 325 miles to reach her grandmother’s house.

At 26 miles, what percentage of the trip’s distance have they completed?
How far have they traveled when they have completed 72% of the trip’s distance?
At 377 miles, what percentage of the trip’s distance have they completed?

Answers

Answer:

8%, 234 miles , 100%

Step-by-step explanation:

X/100 x 325 = 26, X/100 = 0.08, X = 8%

.

0.72 x 325 = 234 miles

.

3rd i guess the question itself is wrong but answer it by 100%

Answer:

Percentage = 8%

Step-by-step explanation:

At 26 miles, Lin's family completed 8% of the trip’s distance

1. Let's review the information given to us to answer the question correctly:

Distance from Lin's home to her grandmother's house = 325 miles

2. At 26 miles, what percentage of the trip’s distance have they completed?

Percentage = Distance covered/Total distance * 100

Replacing with the values we know:

Percentage = 26/325 * 100

Percentage = 0.08 * 100

Percentage = 8%

Casey wants to determine what his classmates' favorite
summer break activities are. What percent of Casey's
classmates are boys who favor going to the beach in the
summer? Round your answer to the nearest percent.
Total
Playing
Sports
Going to
the Mall
Playing
Video
Games
22
8.
30
Going to
the
Beach
32
29
61
Boys
Girls
Total
10
12
22
17
16
33
81
65
146
32781
O
Ob
3296
Ос
39.596
Od
4096

Answers

Answer: what

Step-by-step explanation:

Speack english

a3 = 18 and a6 = -486
Find a10

Answers

Answer:

The value of a₁₀ is -1158

Step-by-step explanation:

a₃ = 18

a₆ = - 486

Now,

a₃ = 18 can be written as

a + 2d = 18 ...(1) and

a₆ = - 486 can be written as

a + 5d = - 486 ...(2)

Now, from equation (2) we get,

a + 5d = - 486

a + 2d + 3d = - 486

18 + 3d = - 486 (.°. a + 2d = 18)

3d = - 486 - 18

3d = - 504

d = - 504 ÷ 3

d = - 168

Now, for the value of a put the value of d = -168 in equation (1)

a + 2d = 18

a + 2(-168) = 18

a - 336 = 18

a = 18 + 336

a = 354

Now, For a

a₁₀ = a + 9d

a₁₀ = 354 + 9(-168)

a₁₀ = 354 - 1512

a₁₀ = -1158

Thus, The value of a₁₀ is -1158

-TheUnknownScientist

Complete the table using y= 4x+4

Answers

Answer:

0....4.... 8....12....16

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