A surveyer wants to find the distance from points A and B and to an inaccessible point C. These three points form a triangle. Because points he can be cited from both A and B, he knows that the measure of angle a equals 65°. Also, it is known that the distance from A-to-C is 90 m and the distance from B to C is 120 m. What is the measure of angle B

Answers

Answer 1

Answer:

42.8°

Step-by-step explanation:

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)} =\frac{c}{sin(C)}[/tex]

Given that points A, B and C forms a triangle with angle A = 65°, distance from A-to-C = 90 m and the distance from B to C = 120 m.

The distance from A to C is the side opposite to angle B. Hence let b =  distance from A to C = 90 m.

The distance from B to C is the side opposite to angle A. Hence let a =  distance from B to C = 120 m.

Therefore using sine rule:

[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)} \\\\\frac{120}{sin(65)}=\frac{90}{sin(B)} \\\\sin(B)=\frac{90*sin(65)}{120} \\\\sin(B) =0.6797\\\\B=sin^{-1}(0.6797)\\\\B=42.8^o[/tex]


Related Questions


will give brainliest which expression has a negative value?

Answers

Answer:

the answer is a....

...

Answer: -3*3*-3*-3

Step-by-step explanation: I put all of them in a calculator that is the only one that was negative.

Match the definitions

Answers

square: a quadrilateral with four right angles and four congrugent sides.

rectangle: a quadrilateral with four right angles

quadrilateral: 4-sided closed figure

rhombus: a quadrilateral with four congrugent sides

parallelogram: a quadrilateral in which opposite sides are parallel

evaluate 3+(2+4) (8-b) when a= 5 and b= 6

Answers

Answer: 3+(2+4)=9 and 8-b=2

Please help me!! Will give Brainliest and tons of Points!!

Answers

Answer:

x=16

Step-by-step explanation:

red line^2 = (8 x sq rt 3)^2 - 12^2

red line ^2=191.99-44

red line^2=47.99

red line=6.93

12/6.93=6.93/(x-12)   by the geometric mean altitude theorem

12(x-12)=(6.93)(6.93)

x-12=4

x=16

Answer:

1. x= 16 is the right answer.

50 POINTS!

Which distance measures 5 units?

A number line going from negative 8 to positive 8. A closed circle appears at negative 8 and is labeled W. A closed circle appears at negative 3 and is labeled X. A closed circle appears at positive 1 and is labeled Y. A closed circle appears at positive 5 and is labeled Z. An orange arrow line extends the length of the number line and contains all points.

A. the distance between points W and X
B. the distance between points X and Y
C. the distance between points X and Z
D. the distance between points Y and Z

Answers

Answer:

A. the distance between points W and X

Step-by-step explanation:

Looking for the distance of 5 units

A. the distance between points W and X

-3 - (-8) = -3 + 8 = 5Correct

B. the distance between points X and Y

1 - (-3) = 1 + 3 = 4 < 5Incorrect

C. the distance between points X and Z

5 - (-3) = 5 + 3 = 8 > 5Incorrect

D. the distance between points Y and Z

5 - 1 = 4 < 5Incorrect

Find the prime factorization of 54, and then write in Standard Form, Expanded Form, and Exponential Form.

Answers

Answer:

Step-by-step explanation:

2 * 3 * 3 * 3

The prime factors of 54 are given as the below listed.

Prime factors = 2 x 3 x 3 x 3

In factorisation and expansion, we can also write it as { 2, 3, 3, 3 }

If it needs to be written in exponential form, we have

Written in exponential form, we get 2^1 * 3³

If it needs to be written in standard form, we have, 5.4 * 10^1 or 54 * 10^

If need be and we are asked to find the expanded form which is

50 tens + 4 units

What is the mean height 81,88,69,65,87

Answers

Answer:

78

Step-by-step explanation:

add them all together and and divide by how many they are -thats the meaning of the mean

81+88+69+65+87=390

390divide by 5=78

i divided by 5 becasue there are 5 numbers

The ratio of trucks to cars is 7 to 8. If there are a totalof 21 trucks, how many cars are there?
8 points
Your answer

Answers

Answer:

24 brainiest ?

Step-by-step explanation:

21/7 = 3

3x8= 24

jenna is making pancakes, but she want to do it half. for full recipe she needs 1 1/2 cups of flour. how much does flour does she need for a half of the recipe?

Answers

Answer:

3/4 cup flour

Step-by-step explanation:

Answer:

3/4 cups is half of 1 1/2 cups. She will need 3/4 cups of flower.

I FORGOT HOW TO DO THIS ​

Answers

Answer

Step-by-step explanation:

The first is 24

second is 72

third is 36

fourth is45

fifth is 66

what is slope

(4,5)and (4,7)​

Answers

Answer:

x=2

Step-by-step explanation:

the slope is vertical meaning it is undefined.

Answer:

The slope is 2

Step-by-step explanation:

                  input     output

                    4              5

                    4              7

The difference between 4 and 4 is 0

The difference between 5 and 7 is  2

Therefore, your slope is 2

I need help on this I really don't have a clue on how to do this

Answers

Answer:

The third one i think

Step-by-step explanation:

Ellie is now 4 time as old as her son. In 5 years time she is going to be 3 times as old as her son. How old is eliies son now?

Answers

Answer:

10, he is 10

Step-by-step explanation:

I need help please please please​

Answers

Answer:

252 is anwer.

Step-by-step explanation:

please mark me brainliest and follow me my friend.

I believe the answer is C.

[tex]252\pi ^{2}[/tex]

Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured in meters.
Here is a graph that represents d.
80
60
40
20 40 60 80 100 120 140 160 180
time (seconds)
Select all statements in function notation that represent the situation.
Od(30) = d (70)
Id(10) = 20
Od (90) < d (160)
Id(t) = 10 when t is 20
Od (0) = 0
Id(0) = 170
Id(170) = 0

Answers

Answer:

:)

Step-by-step explanation:

d(0)=0

d(0)=170

d(90)<d(160)

d(t)=10 when t is 20

The true statements from the function are:

d(30) = d(70)d(10) = 20d(0)=0d(170) = 0.

Functions can be represented as graphs and equations.

The equation of the graph is represented as:

[tex]y = d(t)[/tex]

From the graph, we have the following parameters

[tex]d(30) =d(70) = 40[/tex]

[tex]d(10) = 20[/tex]

[tex]d(0) = d(170) = 0[/tex]

Hence, the true options are (a), (b), (e) and (h)

Read more about functions and graphs at:

https://brainly.com/question/3939432

what is 9.6+5.42-3.2 squared​

Answers

Answer:

139.7124

Step-by-step explanation:

9.6+5.42-3.2 (^2)

11.82^2

= 139.7124

Answer:

4.78

That’s the answer I guess

(6p+2-12)+(4p+4p)-(12p-5)

Answers

Answer: 2p - 5

Step-by-step explanation:

6p + 2 - 12 + 4p + 4p -12p + 5

2p - 5

Answer:

2p-5

Step-by-step explanation:

Distribute the minus sign then add like terms.

In the figure below, PQT and SRT are straight lines
and IQT| = RT|. Find QPR.
P

Answers

Answer:

this is a required answer.

Which system of equations is represented by the matrix below?
{1 3|10]
{0 2|8]

A. y + 3x = 10
2x = 8

B. x + 3y = 10
x + 2y = 8

C. X+ 3y = 10
2y= 8

Answers

Answer:

C

Step-Cby-step explanation:

The answer is C

it's the only one that makes sense

Please enter the simple math question please hurry

Answers

Answer:

c

Step-by-step explanation:

15 and 6 are both devisable by 3

when you work out 3(5x+2)

3x5x=15x and 3x2 is 6

3.3142 pounds converted into kilograms

Answers

Answer:

7.30656029

Step-by-step explanation:

Answer:

1.50329583

Step-by-step explanation:

FORMULA  

for an approximate result, divide the mass value by 2.20462262

What is the mean of this set: {2, 6, 7, 9, 9, 9)?
6
07
08
9

Answers

The answer is 7
Your welcome

27< 3+5x+4

“With a step-by-step explanation be specific”

Answers

Answer:

[tex]27 < 3 + 5x + 4 \\ 27 < 7 + 5x \\ 27 - 7 < 5x \\ 20 < 5x \\5x > 20 \\ x > \frac{20}{5} \\ \boxed{x > 4}[/tex]

x>4 is the right answer.
Step 1: Simplify both sides of the inequality.
27<5x+7

Step 2: Flip the equation.
5x+7>27

Step 3: Subtract 7 from both sides.
5x+7- 7 >27-7

The 7 cancels out on the left side and the right side becomes a 20

5x>20

Divide both sides by 5
5x>20
*5 *5

X>4


4x +
* + 6y - 3x +7
How
many terms are in the above expression?
A
1
B
2.
3
D
4

Answers

Answer:D

Step-by-step explanation:

Please help me ASAP!!! Will give Brainliest!! Fairly easy geometry problem!!

Answers

Answer:

4. "The quadrilateral is regular" does NOT guarantee that a quadrilateral is a square.

Answer:

D. The quadrilateral is regular.

Step-by-step explanation:

The first three descriptions give us a square.

The last one is not necessarily a square. It could be a trapezoid or kite and doesn't guarantee a square.

how do you solve this question and explanation -8=c/-10

Answers

Answer:

c=80

Step-by-step explanation:

multipy both sides by -10

-8*-10=80

Answer:

80=c

Step-by-step explanation:

-8=c/-10 set up equation

-8(-10)=c multiple both sides by -10

80=c multiple -8*-10, two negative equal a postive

Can you pls show me the work for this? BRAINLIEST!!!

Tommy is thinking about using three different sizes of soup cans. His first can has a volume of 24 pi inches cubed, and his second can has a volume of 50 pi inches cubed. Which of these cans will hold more soup than the other two cans Tommy is considering?

Answers

A)A cylinder with height 4 inches and radius 4 inches.

Step-by-step explanation:

Volume of a Cylinder = \pi r^2 h

Next, we determine the volume of the options being considered by Tommy.

Option A:

A cylinder with height 4 inches and radius 4 inches.

Volume =\pi *4^2*4=64\pi cubic inches

Option B

A cylinder with height 7 inches and diameter 4 inches.

Volume =\pi *2^2*7=28\pi cubic inches

Option C

A cylinder with height 5.5 inches and radius 3 inches.

Volume =\pi *3^2*5.5=49.5\pi cubic inches

Option D

A cylinder with height 6.5 inches and Base Area B = 4 pi inches squared.

Volume =4*6.5*\pi=26 \pi cubic inches

The cylinders in Option A will hold more soup than the other two cans Tommy is considering.

please solve the following:
1. 5x=2

2. At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill?
A. $13
B. $52
C. $39

Answers

Answer:

$39

Step-by-step explanation:

because there is 3 of them and they each pay $13 dollars just add it together or 13x3

Answer:

x = -3  and 52

Step-by-step explanation:

5x=2

subtract both sides by 5

5x-5 = 2-5

x = -3

2.

there are a total of 4 people because in the question it said mike and his 3 friends.

they each paid $13 and there are 4 people in total

we multiply 13 * 4 = 52

$52

The local linear approximation to the function h at x= -4 is y= -4x - 1. What is the value of h(-4) + h'(-4)?​

Answers

Answer:1/4o the fourth power equals 4

St1/4o the fourth power equals 4ep-by-step explanation:

Simon is tracing the path of a lizard on a wall. The table below gives the relationship between the lizard's height from the ground, y, in feet, and the horizontal distance, x, in feet, of the lizard from the starting point. Distance (feet), x 1 2 3 4 3 Height (feet), y 5 6 7 8 9 Which of the following describes the table? A. a relation only B. both a relation and a function C. a function only D. neither a function nor a relation

Answers

Answer:

I think, Option B is correct..

The table is a relation and a function

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

f ( x ) = { 5 , 6 , 7 , 8 , 9 }

Now , the input values of the function are

x = { 1 , 2 , 3 , 4 , 5 }

where a relation is a set of ordered pairs (x, y) where there is a relationship between the first element (x) and the second element (y)

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Hence , the table is a function and relation

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ3

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