Find the measure of each angle indicated. Round to the nearest tenth.

Find The Measure Of Each Angle Indicated. Round To The Nearest Tenth.

Answers

Answer 1

The measurement of angles are given as  20.92°, 40.83°,  57.76°, 71.17°, 26.21° and 44.7°respectively.

What are trigonometric ratios?

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

The given problem can be solved by applying the trigonometric ratios to all of the triangle as follows,

(11) In the given triangle,

Sinθ = 5/14

=> θ = Sin⁻¹(5/14) = 20.92°

(12) In the given triangle,

Tanθ = 7/8.1

=> θ = Tan⁻¹(7/8.1) = 40.83°

(13)  In the given triangle,

Cosθ = 8/15

=> θ = Cos⁻¹(8/15) = 57.76°

(14) In the given triangle,

Tanθ = 8.8/3

=> θ = Tan⁻¹(8.8/3) = 71.17°

(15) In the given triangle,

Tanθ = 6.4/13

=> θ = Tan⁻¹( 6.4/13) = 26.21°

(16) In the given triangle,

Tanθ =9.4/9.5

=> θ = Tan⁻¹( 9.4/9.5) = 44.7°

Hence, the measures of the angles indicated in the triangles are obtained as 20.92°, 40.83°,  57.76°, 71.17°, 26.21° and 44.7°respectively.

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Related Questions

Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice. She gives 5/8 cup of the juice to mags. How much is left in lunas glass

Answers

Answer:

1/2

Step-by-step explanation:

3/4+3/8=9/8

9/8-5/8=1/2

Answer:

1/2 is left in Luna's glass

Step-by-step explanation:

3/4 is the same as 6/8

So 6/8 + 3/8 = 9/8

9/8 - 5/8 = 4/8.

4/8 can be simplified to 2/4, which can be simplified to 1/2

if a person walks 2.4 miles in 1.5 hours how far can you walk in 6 hours

Answers

Answer: 9.6

Step-by-step explanation: I did a proportion, 2.4/1.5=?/6 so 6/1.5= 4 so 2.4*4= 9.6

So a person can walk 9.6 miles in 6 hours.

Hope this helps!

What is the length of a in this triangle?

Answers

a^2 = 37^2 - 35^2

a^2 = 1369 - 1225

a^2 = 144

___

a = /144

a = 12

Which figure is described below?
The locus of points in a plane 10
units from the line y = 4.
A ray
B. 2 parallel lines
C. circle
D. plane

Answers

Answer: 2 parallel lines

solve for x.
please help.

Answers

Please find the attached photograph for your answer

1/2y=13
Solve for y.

Answers

Answer:

The correct answer is Y = 26

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{1}{2}y = 13}[/tex]

[tex]\large\textsf{MULTIPLY 2 to BOTH SIDES}[/tex]

[tex]\mathsf{2\times\dfrac{1}{2}y=2\times13}[/tex]

[tex]\large\textsf{Cancel out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{Keep: }\mathsf{2\times13}\large\textsf{ because it gives you the value of \bf y}[/tex]

[tex]\mathsf{2\times13=\bf y}[/tex]

[tex]\mathsf{2\times13 = \bf 26}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 26}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which expression is equivalent to 5 (a + b)

Answers

I need to see the expressions to answer your question sorry

Find the value of x in the picture below.



Answers

The answer is c because

Find the value of x. Show your work of a piece of paper

Answers

Answer:

3

Step-by-step explanation:

x/1= 9/3

solve to get 3

Answer:

X = 3

Step-by-step explanation:

1. Find the difference between 1 and 3. The larger triangle is being multiplied by 3

2. To find x you must divide 9 by 3 since the bigger triangle is 3 times bigger then the smaller one. X then equals 3

Hope that helps

Let me know if it is confusing

find the value of a²+b when a =-2 and b=5

Answers

Answer:

4+5=9

Step-by-step explanation:

a2+b=9  

Two negatives equal a positive you multiply 2, 2 times because of the power 2.

Answer:

[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution \Longrightarrow 9 }}}}}}}}[/tex]

Step-by-step explanation:

Given,

a = - 2

b = 5

Our expression is,

a² + b.

To solve this, we need to substitute the values of a & b in the given expresssion. So,

a² + b

= (-2)² + 5

= 4 + 5 (2 negatives when mutilpied gives a positive number)

= [tex]\boxed{\sf{9}}[/tex]

___________________________

[tex]\sf{Hope \: it \: helps}\\\mathfrak{Lucazz}[/tex]

On the first january 2014 carol invested some money in a bank account the account payes 2.5% compound interest per year on 1st jan 2015 carol withdrew £1000 from the account on 1st jan 2026 sge had £23517.60 in the account work out how much carol originally invested in the account

Answers

Answer:

$23,360

Step-by-step explanation:

Calculation to determine how much carol originally invested in the account

First step is to divide £23517.60 by 1.025

= (23,517.60)/(1+.025)

= (23,517.60)/1.025

=$22,944

Second step is to add back the $1,000 withdrew

=$22,944+$1,000

=$23,944

Now let calculate how much carol originally invested in the account

$23,944=1.025P

Divide both side by 1.025

P=$23,944/1.025

P=$23,360

Therefore the amount that carol originally invested in the account is $23,360

y=225(1.23)^2
growth or decay

Answers

Answer:

Growth

Step-by-step explanation:

You can simply look at this and say that this is growth because the number in the parenthesis is greater than 1.00.

It would only be decay if the parenthesis^2 resulted in a number less than 1

Growth because the number in the parenthesis is greater than 1.

PLEASE HELP! I really really need help. If you can please help me with the answer.

Answers

Answer:

I believe it's 960

Step-by-step explanation:

Rect. Prism volume = 12 * 10 * 7 = 840

Pyramid = (12 * 10 * 3) / 3 = 120

Total = 840 + 120 = 960

What is the locus of two parallel lines?
a. One parallel line
b. One perpendicular bisector
c. Two parallel lines
d. one circle

Answers

Answer:

I think (A) One parallel line.

Step-by-step explanation:

Because there's two and simple math you would divide (width÷1).

Hope this helps! Have a good day/or night!

WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!

A teacher surveys a sample of students from Lake Middle School. He asks the students where they’d like to go for a field trip. He records these results:
80 choose the aquarium.
60 choose the science center.
30 choose the planetarium.
40 choose the farm.
The teacher wants to figure out the relative frequency of a student choosing the aquarium. He will then estimate how many students out of all 1000 at the school are likely to choose the aquarium.
Answer the questions to solve the problem.

3. Suppose the teacher surveys one student at random. Based on the survey results, what is the estimated probability that the student chooses the aquarium?​​

Answers

Answer:

8/21 I reduced it, this is the simplest fraction

Answer:

1. 210 students

2. 80/210 students

3. 8/21 or 38%

4. 8/21 = x/1000 | X = 381 students

Step-by-step explanation:

HURRY PLEASE TIMER: 15 MINS: Coach needs runners for a 4 mile relay race.
Each runner has to run 2/5 mile.
How many runners does the coach need?

Answers

The coach needs 10 runners
Each runner runs 2/5 of a mile, so 5 people would be needed to run two miles. Therefore, he’d need 10 runners.

is searching online for airline tickets. Two weeks​ ago, the cost to fly from to was ​250$. Now the cost is 330 ​$. What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

Answer:

Cost increases to $330.

The percent increase here would be:

= (New price - Old price )/ Old price

= (330 - 250) / 250

= 0.32

= 32%

Cost increases to $330 and charges $50 baggage fee

= (New price - Old price )/ Old price

= (330 + 50 - 250) / 250

= 0.52

= 52%

Please give me the answer nothing else

Answers

Answer:

h = 45.5 ÷ 7

Step-by-step explanation:

If the following triangles are similar solve for x

Answers

Answer:

x = 16

Step-by-step explanation:

Given that ∆EFG ~ ∆ABC, therefore the ratio of the their corresponding sides would be equal.

Thus:

EG/AC = EF/AB

EG = 756

AC = (45x - 76)

EF = 1107

AB = 943

Plug in the values into the equation

756/(45x - 76) = 1107/943

Cross Multiply

756*943 = (45x - 76)*1107

712,908 = 49,815x - 84,132

712,908 + 84,132 = 49,815x

797,040 = 49,815x

797,040/49,815 = x

16 = x

x = 16

You are preparing for a breaktast party and need enough milk
for 20 people. Each person will drink about 200 mL of milk
Which is the best estimate of the amount of milk you
should
prepare: 400 mL or 4 L? Why?
 please help me i have this due super soon

Answers

Answer: 4 L

Step-by-step explanation:

20 × 200 = 4000 mL in total, or 4 L

So, the best estimate is 4 L.

Let x=−1−5i
and y=5−i
. Find x−y
.
A. 6−4i

B. −12i

C. −6−4i

D. −6−6i

Answers

C have a good one buddy

solve for x radical forms

Answers

Answer:

in right angled triangle ABC

by using Pythagoras law

h²=p²+b²

x²=7²+10²

x=√149=12.21cm

PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANILEST

Answers

It’s Linear

Explanation:

Answer:

this is 5 points not 30 mate

Your answer is B

Step-by-step explanation:

have a nice day

i hope this helps

mark brainliest please :)

Expresa en forma algebraica. ⦁ El cuadrado de un número aumentado en 1. ⦁ Cinco veces un número menos 8. ⦁ El número siguiente a un múltiplo de 5. ⦁ Un número impar.

Answers

Answer:

1) N^2 + 1

2) 5*N - 9

3) n*5 + 1    (con n entero)

4) n*2 + 1    (con n entero)

Step-by-step explanation:

1)  El cuadrado de un número aumentado en 1.

Podemos definir a N como el número.

El cuadrado de N es:

N^2

Y a esto lo tenemos que aumentar en 1, entonces tenemos:

N^2 + 1

Esto es el cuadrado de un número aumentado en 1.

2)  Cinco veces un número menos 8.

Esto es:

5*N  (5 veces un número)

Y a esto le restamos 8, para obtener:

5*N - 8

3) El número siguiente a un múltiplo de 5

Un multiplo de 5 se escribe como:

n*5

Donde n es un número entero.

El numero siguiente es:

n*5 + 1

4) Un número impar.

Bien, sabemos que un número par es un multiplo de 2.

Entonces:

n*2 es un número par.

Entonces, n*2 + 1 tiene que ser un numero impar.

En este caso la expresión algebraica es:

n*2 + 1

solve for g please!!!!!!!!!!!!!!

Answers

g = m/5t- Q^2. Hope that helps.

Chloe's bookshelf has 6 books by Smith and 8 books by Jones. If she removes 4 books at random, what is the probability of removing 2 by each author?

Answers

Answer:

7%

Step-by-step explanation:

I added 8 and 6 then divided by 2

I'm taking probability and stats next year so ¡dk if its right

Answer:

42%

Step-by-step explanation:

help?pleaseeee?someone?anyone?

Answers

Answer:

the answer is 96

Step-by-step explanation:

[tex](-10)^{2}[/tex]- 9[tex](\frac{1}{3} )^{2}[/tex]-3

100-[tex]\frac{9}{9}[/tex]-3

100-1-3

96

7n-4=31

what does n stand for?

Answers

Answer:

it is the number you are trying to solve for which would be 5

Step-by-step explanation:

Please help me out :)

Answers

Answer:

96 cm^3

Step-by-step explanation:

you just multiply all the numbers :)

Answer me this please!

Knowing the absolute value of the numbers will help you determine which is closest to ________

Answers

Answer:

0

Step-by-step explanation:

absolute value disregards -/+

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