24. Sam, Sonny and Sal are camping in their tents. If the distance between Sam and
Sonny is 153ft, the distance Sam and Sal is 201ft, and the distance between Sonny
and Sal is 175ft, what is the angle of Sonny's line of sight to both Sam and Sal to the
nearest whole degree?
a. 25°
b. 75°
c. 57°
d. 123°

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

b. 75°

Step-by-step explanation:

Draw a triangle. Write a person name and a point name (a letter) at each vertex: Sam A, Sonny B, and Sal C at the vertices.

Write the distances as AB = c = 153 ft; AC = b = 201 ft; BC = a = 175 ft.

We are looking for angle B.

Since we have a triangle with three side lengths and no angle measures, we use the Law of Cosines.

[tex] b^2 = a^2 + c^2 - 2ac \cos B [/tex]

[tex] 201^2 = 175^2 + 153^2 - 2(175)(153) \cos B [/tex]

[tex] 40401 = 30635 + 23409 - 53550 \cos B [/tex]

[tex] -53550 \cos B = -13643 [/tex]

[tex] \cos B = \dfrac{-13643}{-53550} [/tex]

[tex] \cos B = 0.254771242 [/tex]

[tex] B = \cos^{-1} 0.254771242 [/tex]

[tex] B = 75^\circ [/tex]

Answer: b. 75°


Related Questions

How do I solve this using long division?

Answers

Answer:

You can't.

Step-by-step explanation:

When you divide it you get x+5.

Answer:

(x - 2)(x + 5)

Step-by-step explanation:

                     

                    x   +5

          ----------------------

  x - 2 | x² + 3x - 10

             x² - 2x   ↓

          ------------------------

                   5x    - 10

                   5x    - 10

           ------------------------

                              0 ← remainder = 0

quotient = x + 5

Then x² + 3x - 10 = (x - 2)(x + 5 )

There are eight girls and four boys what is the probability of selecting a boy

Answers

Answer:OK

Step-by-step explanation:

20
-
-47 > -4
-4; because
4. is to the right of – 4;
True
False

Answers

On a number line towards the right are the positives. If I am understanding that question correctly 4 is on the right of -4 is true

i will give brainlist need help

Answers

Answer:

the answer is 20

Step-by-step explanation:

just solved it

Answer:

8 oranges

Step-by-step explanation:

12 apples in ratio 3:2

Simplify ratio

12/3 = 4

4 x 2 = 8 oranges


PLEASE Find the scale factor that was used
Will give brainliest!!
Check provided photo.

Answers

Answer:

1/4

Step-by-step explanation:

Scale factor = 3/12 = 1/4

coin
coin
2.
You have a bag of 17 marbles.
Four are blue, 6 are green, 2 are
red, and the others are yellow.
What is the probability of drawing
a red marble, putting it aside, and
then drawing a green marble?

Answers

Answer:

3/68

Step-by-step explanation:

Which ordered pair does not represent a point on the square?

Answers

Answer:

D

Step-by-step explanation:

-2, 1 is not a point in the square but - 2, 2 is so the answer should be D -2,1

If my answer helped, kindly mark me as the brainliest!!

Answer:

3,2

Step-by-step explanation:

This is because if u look closely you can see that all of these escept the (3,2) will be on the square. Hope this helps

Analyzing an Error
A student simplifies (6b + 4r) – (2b + r) and says that the result is 4b + 5r. Explain the error and describe the correct steps to simplify the expression.

Answers

Answer:

4b +3r

The student did not subtract both terms in the second parentheses

Step-by-step explanation:

(6b + 4r) – (2b + r)

Distribute the minus sign to all terms in the second parentheses

6b + 4r – 2b - r

Combine like terms

6b -2b   +4r -r

4b +3r

The student did not subtract both terms in the second parentheses

Answer:

4b+3r

Step-by-step explanation:

(6b+4r)-(2b+r)

Distribute the negative symbol across the second set of parenthesis.

6b+4r-2b-r

Add like terms

4b+3r

Error: the student added r instead of subtracting it. They most likely only distributed the negative to the 2b.

6^2.6^4 plz plz plz p​

Answers

Answer:

6^6 = 46656

Step-by-step explanation:

I’m assuming your saying: 6^2 · 6^4, which is equivalent to 6^6 because if two numbers have the same base (in this case it’s 6), then you just add the exponents: add the exponents 2 + 4 = 6  ⇒  6^6

6^6 = 46656

HELP ASAP! DUE AT 10:30 AM EST PLEASE SHOW YOUR WORK / HOW YOU GOT THE ANSWER STEP BY STEP
1/3 - 2y/9 = 19

Answers

Step-by-step explanation:

[tex] \frac{1}{3 } - \frac{2y}{9} = 19 \\ \frac{3 - 2y}{9} = \frac{171}{9} \\ 3 - 2y = 171 \\ 2y = 3 - 171 \\ 2y = - 168 \\ y = - 168 \div 2 \\ y = - 84[/tex]

Answer: y = − 84

Step-by-step explanation:

Simplify 5(3y−1)−3(2y)

9y=24

divide by each term by 9

y=-84

Please look at photo. Make sure to regroup and write your answer in simplest form.

Answers

Answer:

8 2/11

Step-by-step explanation:

Add the fractions 5/11 + 8/11 = 13/11

Then add the the whole numbers 4 + 3 = 7

then you 7 and 13/11

Simplify to get 8 2/11

hii please help i’ll give brainliest if you give a correct answer tysm

Answers

Answer:

The correct answers are:

A

D

E

Step-by-step explanation:

6 faces

2 triangles

4 squares

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Factor the Algebraic expression 21a + 9​

Answers

Answer:

3(7a + 3)

Step-by-step explanation:

3 is the greatest common factor between 21 and 9

put 3 outside the parenthesis and divide both numbers by 3

3(7a + 3)

Answer:

3(7a+3)

Step-by-step explanation:

Find the common factor

3 multiplied by 7 equals 21, and 3 times 3 equals 9

Take the common factor out of the parenthesis

3( _a+_)

and put in 7 and 3 in the appropriate spots

3(7a+3)

double check

3 times 7 is 21, 3 times 3 is 9

3(7a+3)= 21a+9

Write the equation of the line that passes through the points (-6, -9) and (7, 7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

[tex]\displaystyle y + 9 = \frac{16}{13} ( x + 6 )[/tex]

Step-by-step explanation:

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Given a line passes through points A(x1,y1) and B(x2,y2), the slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-6,-9) and (7,7), thus the slope is:

[tex]\displaystyle m=\frac{7+9}{7+6}=\frac{16}{13}[/tex]

Now we apply the point-slope formula using the point (-6,-9):

[tex]\mathbf{\displaystyle y + 9 = \frac{16}{13} ( x + 6 )}[/tex]

This equation is expressed in the required format

The equation of the line passing through the given points is required.

The equation of the line is [tex]y=\dfrac{16}{13}x-\dfrac{21}{13}[/tex]

The points are [tex](-6,-9)[/tex] and [tex](7,7)[/tex]

The equation is

[tex]y-y_1=\dfrac{\Delta y}{\Delta x}(x-x_1)\\\Rightarrow y+9=\dfrac{7+9}{7+6}(x+6)\\\Rightarrow y+9=\dfrac{16}{13}x+\dfrac{96}{13}\\\Rightarrow y=\dfrac{16}{13}x-\dfrac{21}{13}[/tex]

The equation of the line is [tex]y=\dfrac{16}{13}x-\dfrac{21}{13}[/tex]

Learn more:

https://brainly.com/question/1581995?referrer=searchResults

Jordan was given the expression 2x2^-3 x 2^-5 How should he write the expression as a fraction? Describe the exponent rules Jordan should use to simplify the expression

Answers

Answer:

[tex]2*2^{-3} * 2^{-5} =\frac{1}{128}[/tex]

Step-by-step explanation:

Given

[tex]2*2^{-3} * 2^{-5}[/tex]

Required

Write as a fraction

To do this, Jordan has to apply the following rules

Negative Exponent rule:

[tex]a^{-m} = \frac{1}{a^m}[/tex]

So, the expression is:

[tex]2*2^{-3} * 2^{-5} = \frac{2}{2^3 * 2^5}[/tex]

To solve further, we apply the product rule of exponent

[tex]a^m * a^n = a^{m+n}[/tex]

So, the expression is:

[tex]2*2^{-3} * 2^{-5} =\frac{2}{2^{3+5}}[/tex]

[tex]2*2^{-3} * 2^{-5} =\frac{2}{2^8}[/tex]

Evaluate the exponents

[tex]2*2^{-3} * 2^{-5} =\frac{2}{256}[/tex]

Divide the numerator and denominator by 2

[tex]2*2^{-3} * 2^{-5} =\frac{2/2}{256/2}[/tex]

[tex]2*2^{-3} * 2^{-5} =\frac{1}{128}[/tex]

A homeowner purchased the following items to repair a door. • 1 box of screws priced at $3.75 • 1 tube of caulk priced at $3.99 • 2 pieces of glass priced at $12.50 each What was the total price in dollars and cents the homeowner paid for these items? Record your answer in the boxes below. Be sure to use the correct place value. +/- ​

Answers

Answer is $32.74 / 3.75+3.99+12.50+12.50.

The answer is $32.74.

$3.75+$3.99+$12.50+$12.50 is $32.74.

If this is incorrect, please, don't refrain to tell me.

What is the value of the expression 4x – x , for x = 2

Answers

Answer:

6

Step-by-step explanation:

Substitute 2 for x in the equation.

4(2) - 2 =?

8 - 2= 6

question 6 and the answers for the 4 blank boxes plz i give for 22 points

Answers

D- < G- = E- = and I can’t read i it is cut off

© Colin invests £14100 into his bank account.
He receives 9.0% per year simple interest.
How much will Colin have after 5 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

6350

Step-by-step explanation:

srry if it's wrong :(

The unlabeled graph shows the relationship between two customary units of measure. Only two pairs of units can be represented by the graph .
Describe the relationship for each pairs.

Answers

Answer:

e

Step-by-step explanation:

e

if you know plzz tell me! asap
question number 8

Answers

Answer:D

Step-by-step explanation:

Write the polynomial as a
product of linear factors,
x^4-5x^2-36

Answers

9514 1404 393

Answer:

  (x +3)(x -3)(x +2i)(x -2i)

Step-by-step explanation:

The factoring to quadratics makes use of the fact that -36 = (-9)(4).

  x^4 -5x^2 -36

  = x^4 -9x^2 +4x^2 -36

  = x^2(x^2 -9) +4(x^2 -9)

  = (x^2 +4)(x^2 -9)

The form for factoring the difference of squares comes into play here. Of course -4 = (2i)^2.

  = (x^2 -(2i)^2)(x^2 -3^2)

  = (x -2i)(x +2i)(x -3)(x +3) . . . factored to linear terms

HELPPPPP MEEEEEE, I WILL MAKE BRAINLYLST IF U GET IT RIGHT AND RESPOND QUICK

Answers

Answer:

Its C. or option 3

Step-by-step explanation:

determine whether it is a solution to u <8

Answers

Answer:

Actually, it is

13x = 2(5x+3) solve for x

Answers

Answer:

13x=2(5x+3)

13x=10x+6

13x-10x=6

3x=6

x= 6/3

x=2

Answer:

x=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

13x=2(5x+3)

13x=(2)(5x)+(2)(3)(Distribute)

13x=10x+6

Step 2: Subtract 10x from both sides.

13x−10x=10x+6−10x

3x=6

Step 3: Divide both sides by 3.

3x/3=6/3

         

            Answer:

               x=2

have a nice day!!!

Determine the value of x

Answers

Answer:

x=8

Step-by-step explanation:

Because I have big brains.

pls help me!!!!!!!!!!!!!

Answers

Answer:

42 and 58

97 and 3

Step-by-step explanation:

A rectangular tile measures 3 inches by 4 inches. What is the fewest number of these tiles that are needed to completely cover a rectangular region that is 2 feet by 5 feet

Answers

1 foot = 12 inches.

Convert the dimensions of the region to inches:

2 feet = 24 inches

5 feet = 60 inches

Area of region = 24 x 60 = 1,440 sq. In.

Area of tile = 3 x 4 = 12 sq. In.

Number of tiles needed = 1440/12 = 120

120 tiles are needed.

Which of the following would NOT be
considered an outlet which would
need a "manager of communications"
position behind the scenes?

A. movies
B. Newspaper
C. Radio
D. Television

50 POINTS

Answers

I think it’s B but I’m not sure. It seems (most likely) to be newspaper

How would this triangle be classified?

Answers

Isosceles right. Since it has two sides of the same length (congruent) and a right angle marking.

Answer:

d) isosceles right

Step-by-step explanation:

2 sides of the triangle are equal and one side isn’t and thats an isosceles triangle And one angle is equal to 90 degrees.

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