Three cell phone towers form a triangle. The distance between the
first tower and the second tower is 16 km. The distance between the
second tower and the third tower is 19 km. The distance between the
first tower and the third tower is 19 km. Calculate the angle formed
between the first cell phone tower and the third cell phone tower.
First, draw the top view diagram of this situation. Round your final
answers to the nearest degree, and state proper units.

Answers

Answer 1

Answer:

\(65^\circ\)

Step-by-step explanation:

Examine the attached diagram to follow the explanation

The locations of the 1st 2nd 3rd towers are labeled A, B, C

The distances are labeled a, b, c  with
a = 16 km
b = 19 km
c = 19 km

The angle between AB and AC ie the angle formed between the first cell phone tower and the third cell phone tower is labeled \(\theta^\circ\)

The law of cosines for a triangle states
\(c^2 = a^2 + b^2 -2ab \cos(\theta)\)

where c is the length of the side opposite \(\theta\)

and a, b are the other two sides which form \(\angle \theta\)

Substituting the given values for a, b, c and \(\theta\) we get
\(19^2 = 16^2 + 19^2 - 2(16)(19) \cos(\theta)\\\\19^2 \text{ cancels out since it appears on both sides of the equation}\)

So we get

\(0 = 16^2 - 2(16)(19) \cos(\theta)\\\\\)

Add the term \(2(16)(19) \cos(\theta)\) to both sides:


\(2(16)(19) \cos(\theta) =16^2\\\\608 \cos(\theta) =256\\\\\)

\(\cos (\theta) = \dfrac{256}{608}\\\\\cos (\theta) = 0.42105\\\\\theta = cos^{-1} (0.42105)\\\\\theta = 65.09^\circ\\\\\theta = 65^\circ\)
(when rounded to the nearest degree)

Three Cell Phone Towers Form A Triangle. The Distance Between Thefirst Tower And The Second Tower Is

Related Questions

brainles for firs answered

brainles for firs answered

Answers

Answer:

Hello! answer: 3/4

Step-by-step explanation:

9 ÷ 3 = 3 12 ÷ 3 = 4 then that is 3/4 and we can't reduce any further therefore 3/4 is the answer HOPE THAT HELPS

In a clinical trial, 780 participants suffering from high blood pressure were randomly assigned to one of three groups. Over a one-month period, the first group received the experimental drug, the second group received a placebo, and the third group received no treatment. The diastolic blood pressure of each participant was measured at the beginning and at the end of the period and the change in blood pressure was recorded. The average change in blood pressure was calculated for each of the three groups and the three averages were compared.
A. This was an experiment rather an observational study. How do we know that?
B. Identify the factors and levels.
C. Are all the principles of experimental design included in this experiment? Explain.

Answers

Answer:

A.  We know that this was an experiment rather than an observational study because treatments were administered, with the first group receiving the experimental drug, the second group receiving a placebo, and the third group receiving no treatment."

B. The factors are the variables.  The independent variable was group three that received no treatment, while the dependent variables were the first and second groups that received some treatments.  Another variable is the change in blood pressure recorded at the end of the period.

The levels refer to the different treatments that were administered to the three groups: experimental drug, placebo, and no treatment.

C. The principles of experimental design are Randomization, Repetition, and Control.  We are not aware of how the participants were chosen and this experiment was not replicated in the scenario.  We can affirm that there is Control because the three groups were not given the same treatment.

Step-by-step explanation:

In an observation, the researcher does not attempt to change any variables.  She simply observes and then records her observations.  In an experimental study, the researcher creates a control group and, also at least, one testable group.  The purpose is to compare the control group and the testable group.

Help please More coming soon
NO LINKS

Help please More coming soon NO LINKS

Answers

Answer:

d33z nuts

Step-by-step explanation:

gottem

The first area if the dotted triangle is 63. Formula = base X perpendicular height so, 9 x 7 = 63

H=7+44t-16^2

Find all values of t for which the ball’s height is 27 feet

PLEASE HELP ME :(

H=7+44t-16^2Find all values of t for which the balls height is 27 feet PLEASE HELP ME :(

Answers

Answer:

When t=2.1753 & t=.5746 , h=27

Don't worry, I got you. Also, my calculator does too.

We set h equal to 27, because we want the height to be 27 when we solve for t.

That leaves us with:

27 = 7 + 44t - 16t^2

Simplify like terms,

20 = 44t - 16t^2

Move 20 onto the right side, so we can use quadratic equation

44t - 16t^2 - 20 = 0 --> -16t^2 + 44t - 20

Using quadratic, you get

t=2.1753 & t=.5746

poster confirmed : "It’s t=2.18 and t=0.57"

Given m ∥ n, find the value of x.

Given m n, find the value of x.

Answers

given that m is parallel to n,

the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.

using the corresponding angle rule we know that:

2x + 16 = 96

2x = 80

so x = 40

Find the surface area of the composite figure.
3 cm
3 cm
8 cm
8 cm
7 cm
7 cm
12 cm
10 cm
SA = [?] cm2
If you'd like,
you can use a
calculator
Enter

HELP PLSSS<3

Find the surface area of the composite figure.3 cm3 cm8 cm8 cm7 cm7 cm12 cm10 cmSA = [?] cm2If you'd

Answers

The surface area of the composite figure is 662 square cm

Surface area of a figure.

The surface area of the sum of all the area of the faces of a figure. The given figure is made up of two rectangular prism.

The surface area of a rectangular prism is given as;

TSA = 2(lw + wh + lh)

l is the length

w is the width

h is the height

Determine the required surface area

TSA = 2[(3)(3)+3(8)+3(8)]+2(7(10)+7(12)+10(12)]

TSA = 2(9+48)+2(190+84)

TSA = 114 + 548

TSA = 662 square cm

Hence the surface area of the composite figure is 662 square cm

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How do I find whether questions 5-8are congruent by SSS (Side-Side-Side) or SAS ( Side-Angle-Side).Then write a congruency statement.

How do I find whether questions 5-8are congruent by SSS (Side-Side-Side) or SAS ( Side-Angle-Side).Then

Answers

5)

Consider triangle FEC and triangle FED

Given that,

\(\begin{gathered} \bar{FC}=\bar{FD} \\ \bar{CE}=\bar{DE} \end{gathered}\)

Also,

\(\bar{FE}=\bar{FE}\text{ (common)}\)

Therefore, by, SSS congruence rule,

\(\Delta FEC\text{ }\cong\Delta FED\)

6)

Consider triangle DAJ and triangle EAM

Given that,

\(\begin{gathered} \bar{DA}=\bar{EA} \\ \bar{DJ}=\bar{EM} \end{gathered}\)

Since linesegments, DJ parallel to ME,

\(\angle ADJ\text{ =}\angle AEM\text{ ( since, interior opposite angles are equal)}\)

Therefore, by SAS congruence rule,

\(\Delta DAJ\text{ }\cong\Delta\text{EAM}\)

60ft by 60ft wall and a mirror that’s 60ft by 20ft the mirror covers wat percent of the wall?

Answers

Answer:

okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.

Step-by-step explanation:

Of the following fractions: 9/19, 5/11, 7/15, and 11/23, which is the largest?

Answers

Answer: 11/23

Step-by-step explanation:

I used my calculator to convert those fractions into decimal form and found the biggest number. It was about 0.4789.

The largest fraction will be 11/23.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

All the fractions are,

⇒ 9/19, 5/11, 7/15, and 11/23

Now,

Since, All the fractions are,

⇒ 9/19, 5/11, 7/15, and 11/23

Here, The values are,

⇒ 9 /19 = 0.47

⇒ 5/11 = 0.45

⇒ 7/15 = 0.46

⇒ 11/23 = 0.48

Thus, The largest value of the fraction = 11/23

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One tennis club charges $30 per session to play tennis. Another tennis club charges an
annual fee of $48 plus $22 per session. After how many sessions is the cost at the two
clubs the same?

Answers

Answer:

2 sessions for tennis and 1 for the other tennis club which would make it 60 each. 30 x 2 = 60 and 48 + 22 = 60

The diagram shows the dimensions of a wall with a rectangular window. Penn needs to paint just the wall.
What is the area of the wall that Penn needs to paint?
93 square feet
97 square feet
104 square feet
111 square feet
2 ft
13 ft
32 ft
8 ft

The diagram shows the dimensions of a wall with a rectangular window. Penn needs to paint just the wall.What

Answers

Answer:

b 97 ft²

Step-by-step explanation:

he needs to paint the big rectangular wall minus the small rectangular window.

so, the painting area is

13×8 - (3 1/2)×2 = 104 - (7/2)×2 = 104 - 7 = 97 ft²

tell me all the questions of this

tell me all the questions of this

Answers

Answer:

To find the radius..just divide them by two

For the diameter multiply by two

Circumference formula is

\(2\pi \: r\)

What is the coefficient of the second term in this expression?



1–2y2

Answers

Answer:

-2

Step-by-step explanation:

Given the expression 1 - 2y²

The second term of the expression is -2y²

The coefficient of the second term is the value attaches to the variable present in the term. The coefficient of -2y² will therefore be -2

Find the area of the isosceles trapezoid shown below.
9 cm
6 cm
4.5 cm

Find the area of the isosceles trapezoid shown below.9 cm6 cm4.5 cm

Answers

Answer:

area = 40.5 cm^2

Step-by-step explanation:

A quick calculation tells me it is none of them

Area = 6*(9 + 4.5) / 2

Area = 3*13.5

Area = 40.5

Which of the following shows a 90° counterclockwise rotation of the blue figure

Which of the following shows a 90 counterclockwise rotation of the blue figure
Which of the following shows a 90 counterclockwise rotation of the blue figure

Answers

The answer is letter B

Evaluate.
(a – 2013
when a =
— 3 ana b = -1
3 6
2
Enter your answer in the box.
-27

Evaluate.(a 2013when a = 3 ana b = -13 62Enter your answer in the box.-27

Answers

Solution:

\( \\ (a - 2b) ^{3} \)

\( \\ ( - 3 - 2 \times \frac{ - 1}{2} ) ^{3} \)

\( \\ = (- 3 + 1) ^{3} \)

\( \\ = ( - 2) ^{3} \)

\( \\ = ( - 2)( - 2)( - 2)\)

\( \\ = - 8\)

Answer:

\( \\ {\boxed{ - 8}}\)

Hope it helps♦♦♦♦

(a-2b)³ a= -3 b= -1/2= (-3-2 [ -1/2 ] )³= (-3-1 [ -1 ] )³= (-3+1)³= (-2)³= (-2)×(-2)×(-2)= -8

please mark this answer as brainlist

I NEED HELPPPP please help me I will give brainiest if correct

I NEED HELPPPP please help me I will give brainiest if correct

Answers

Answer:

(-4, 10)

Step-by-step explanation:

first with it you follow the rules 2+2=4

(-7)+-(3)=-10

after since it is reflected off of the y axis they opposite each other meaning that negative = positive, positive=negative

4=(-4)

-10= 10

giving you (-4,10)

Latoya Abdul and dale sent a total of 88 text messages over their cell phones during the weekend Latoya sent 8 more messages than Abdul.Dale sent 4 times as many messages as Latoya how many messages did they each send?

Answers

Answer:

Abdul - 8 messages

Latoya - 16 messages

Dale - 64 messages

Total - 88 messages

Step-by-step explanation:

A: (x)

L: (A + 8)

D: (L* 4)

A: 8 = 8

L: 8 + 8 = 16

D: 16 * 4 = 64

8 + 16 + 64 = 88

Hope this helps!

1.
given :
f(x) = (x – 3)(x + 2)(x + 3), give a strategy for writing
the expanded form of the polynomial.

Answers

Answer:

Simplify

(

x

3

)

(

x

+

2

)

(

x

+

3

)

.

f

(

x

)

=

x

3

+

2

x

2

9

x

18

simplify pls do fast

simplify pls do fast

Answers

The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

0.36 + 0.57

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

93/100 = 0.93

Therefore, the required value is 0.93

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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara​

Answers

The time Jack left Santa Clara is 1 : 55 pm

What is word problem?

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Factorise fully the following:
a) 2x + 8
b) 3x – 12
c) 6x + 4
d) 18x - 9

Answers

Answers

a)2x+8

2(x+4)

b)3x-12

3(x-4)

c)6x+4

2(3x+2)

d)18x-9

9(2x-1)

What will be the new position of the given point (3, 5) after translation of 2 units left and 3 units up?

Answers

Answer:5 8

Step-by-step explanation:left 2 up 3

The store sells 6 donuts for $15 Kim has $37.50 how many donuts can she buy?

Answers

Answer:

12 if the donuts are sold in boxes and not singular,  15 if you can buy a smaller sized box

Step-by-step explanation:

Hope this helps! have a great day!

Kim would be able to get 15 donuts
6/15 = 2.50
37/2.50 = 15
(since 6 donuts are equal to 15 dollars you would need to divide 6 and 15 to get the original price ( which would be 2.50) and now that you have the original price you can divide the original price from the amount that she originally has to figure out how many donuts that she needs ( 37.50 / 2.50 = 15) which would leave kim to have 15 donuts

-2|10-(-23)|-3+18
Having a hard time with this problem can someone help

Answers

first we have to make a common denominator

then we just add or subtract depends on the sign

last (optional) i just used a calculator to see approximately what will the asnwer be

-2|10-(-23)|-3+18Having a hard time with this problem can someone help

4(1-x)<16 solve and graph

Answers

Answer: (x > -3).

Step-by-step explanation:

To solve the inequality 4(1 - x) < 16, we will simplify and solve for x:

4(1 - x) < 16

Distribute the 4:

4 - 4x < 16

Subtract 4 from both sides:

-4x < 12

Divide both sides by -4. Note that when dividing by a negative number, the inequality sign flips:

x > -3

The solution to the inequality is x > -3. This means that x must be greater than -3 for the inequality to hold true.

To graph the solution on a number line, we mark a shaded region to the right of -3, indicating that all values greater than -3 satisfy the inequality:

The open circle at -3 indicates that -3 is not included in the solution since the inequality is strict (x > -3).

here's the graph for 4(1-x)<16

4(1-x)&lt;16 solve and graph

Find the slope of the line.
(Will give brainliest)

Find the slope of the line.(Will give brainliest)

Answers

Answer:bro its just a  black picture

Step-by-step explanation:

If f(x)=x²+5 and g(x)=3x, find
a. (f + g)(x)
b. (f-g)(x)
C. (f . g)(x)
d. (f/g)(x).
a. (f + g)(x)=______. (Simplify your answer.)

If f(x)=x+5 and g(x)=3x, finda. (f + g)(x)b. (f-g)(x)C. (f . g)(x)d. (f/g)(x).a. (f + g)(x)=______. (Simplify

Answers

The equivalent expressions are given below;

a) x²+3x+5

b) x²-3x+5

c) 3x³+15x

d)  x²+5/3x

Composite function

Given the following function

f(x)=x²+5 and;

g(x)=3x

a) (f + g)(x) = f(x) + g(x)

(f + g)(x) = x²+5 + 3x

(f + g)(x) = x²+3x+5

b)  (f - g)(x) = f(x) - g(x)

(f - g)(x) = x²+5 - 3x

(f - g)(x) = x²-3x+5

c) (f * g)(x) = f(x) * g(x)

(f * g)(x) = 3x(x²+5)

(f * g)(x) = 3x³+15x

d) (f/g)(x) = f(x)/g(x)

(f/g)(x) = x²+5/3x

This expressions gives the equivalent answer.

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What is the completely factored form of this polynomial?
81x4 - 16/A
A. (3x2 + 2y?)(9x+47)(9x - 4y)
B. (9x2 + 4y?)(9x2 - 4y?)
C. (9x2 + 4y713x – 2y12
D. (9x + 4y)(3x+27)(3x – 2y)

What is the completely factored form of this polynomial?81x4 - 16/AA. (3x2 + 2y?)(9x+47)(9x - 4y)B. (9x2

Answers

\(81x^4-16y^4\implies 3^4x^4-2^4y^4\implies (3x)^4-(2y)^4\implies \underset{\textit{difference of squares}}{[(3x)^2]^2-[(2y)^2]^2} \\\\\\ \underset{\textit{difference of squares}}{[(3x)^2-(2y)^2]}[(3x)^2+(2y)^2]\implies (3x-2y)(3x+2y)[(3x)^2+(2y)^2] \\\\\\ (3x-2y)(3x+2y)[(3^2x^2)+(2^2y^2)]\implies (3x-2y)(3x+2y)(9x^2+4y^2)\)

Which of the following statements is true regarding that equation |x+3|-2=k?

Which of the following statements is true regarding that equation |x+3|-2=k?

Answers

The true statement is if k = - 1 there are solutions, but if k = - 3 there are no solutions

How to determine which statement is true regarding the equation |x+3|-2=k?

Given: |x+3|-2=k

Below are rules for solving absolute value equations:

1. If p is positive and |y| = p, then

x = p   OR    y = -p

(two equations are set up)

2. If p is negative and |y| = p, then

No solution

3. If p is zero  and |y| = p, then

One solution

Using the rules:

|x+3|-2=k

when k = -1

|x+3|-2= -1    

|x+3| = 1

Rule 1 is applicable here. Thus, there are solutions  

when k = -3

|x+3|-2 = -3

|x+3| = -1

Rule 3 is applicable here. Thus, no solution

Therefore, if k = - 1 there are solutions, but if k = - 3 there are no solutions.     The 2nd option is the true statement

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