Find tan S and tan R. Write each answer as a fraction in simplest form

Find Tan S And Tan R. Write Each Answer As A Fraction In Simplest Form

Answers

Answer 1
tan = opposite/adjacent


tan S:
opposite: 45
adjacent: 24
45/24 = 15/8

tan R
opposite: 24
adjacent: 45
24/45 = 8/15
Answer 2

We know the trigonometric ratios that tan = opposite/adjacent So, tan S is equal to 15/8 and tan R is equal to 8/15.

What are the trigonometric ratios?

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

We know that tan = opposite/adjacent

tan S

opposite: 45

adjacent: 24

So,

tan S = 45/24 = 15/8

tan R

opposite: 24

adjacent: 45

So,

tan R = 24/45 = 8/15

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Related Questions

Please help me!
Find the indicated sum for each sequence.


S9 of –9, 36, –144, 576, ...

Answers

Answer:

the answer is to multliply it by -4

The value of which of these expressions is closest to e?

Answers

The answer is B because e is 2.17

Answer:

the answer is D

Step-by-step explanation:

Got it wrong on the A*pex test D is the correct answer

1+(1/30)30

hi! i’ll give brainliest please help

Answers

Answer:

third option mechanical weathering

Step-by-step explanation:

in mechanical weathering it breaks the rock into smaller pieces . these smaller pieces are just like the bigger rock , just smaller .

What is the value of x in the equation
-x =2 - 3x +6?
1) 8
2) 4
3) -4
4) -8

Answers

Answer:

x=4 Postive

Step-by-step explanation:

See the steps below:)

How many sides does a regular polygon have if each of its interior angles is 165 degree.

Answers

24
Complete step-by-step answer:
Thus, the regular polygon with interior angle each measuring 165∘ is a 24-sided polygon.

HELP ME PLEASEESWSAS

Solve the following equation for x.
2 + x^2 = 47
6.7
b. 7
22.5
d. 47

Answers

Answer:

6.7

Step-by-step explanation:

x² = 45

x = 6.7

is the answer

The correct one is A hopes this helps!

Azlyn can ride her horse 15.2 miles per hour. She is in an endurance race that is 76 miles
long! How long should this race take her to complete?

Answers

Step-by-step explanation:

Remember, math is a language

when you see per think fractions

15.2 miles per hour = 15.2 miles / 1 hour

since this is a fraction, Units can cancel just like numbers

To cancel miles and be left with hours rearrange the fraction

1 hour / 15.2 miles

then multiply by 72 miles

[tex] \frac{1hour}{15.2miles} \times 72miles[/tex]

the miles cancel and youre left with hours!

so youd write and solve 72 / 15.2

Determine the surface area of the cylinder in terms of π.




602π cm2602π cm2

812π cm2812π cm2

308π cm2308π cm2

518 cm2

Answers

168pi cm2

Explanation: sa= 2pi (r^2) + 2pi (r)h Diameter is 8cm so radius is 4cm

Sa=2pi(4^2)+ 2pi(4) 17

Sa= 32pi + 136pi

Sa= 168 pi 2cm

Item 23 Find the sale price. Original price: $50 Discount: 15% Item 23 Find the sale price. Original price: $50 Discount: 15%

Answers

Answer:

$42.50

Step-by-step explanation:

discount reduces the price of the good

discount value = 15% x 50 = 0.15 x 50 = 7.5

sales price = 50 - 7.5 = 42.50

out of 2 billion person trips, 75 percent were leisure travel. what was the number of person trips for leisure travel?

Answers

Divide 75 by 100 to get .75 dived 2 billion by .75. That should get you how many were leisure trips.

The number of personal trips for leisure travel will be equal to 1.5 billion.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that out of 2 billion person trips, 75 per cent were leisure travel.

The number of the person trips will be calculated as,

N = ( 2 x 75 ) / 100

N = 150 / 100

N  = 1.5 Billion

Therefore, the number of personal trips for leisure travel will be equal to 1.5 billion.

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4 – (3 – 5) =

Possible Answers:
A. -4
B. -2
C. 6
D. 12

Answers

Answer:

6

Step-by-step explanation:

4 – (3 – 5) =

PEMDAS says parentheses first

4 – (-2) =

Subtracting a negative is like adding

4 +2

6

Answer:

2-

Step-by-step explanation:

.....................................................................

Which statement describes the linear graph

Answers

Answer:

B.

Step-by-step explanation:

hey! i’ll give brainliest please help

Answers

Answer:

It would be a simple sentence, since it is a single clause by itself.

Note that this is something for the Language Arts section, please post your questions of that topic in that section, not in the Math section.

Find the line of inclination of the line if its slope is -√3​

Answers

Answer:

120° or 300°

Step-by-step explanation:

Given,

Slope (m) = -√3

Inclination (α) = ?

Now,

We know,

m = tanα

or, -√3 = tanα

or, tan(120° or 300°)  = tanα

∴ α = 120° or 300°

∴ Inclination is 120° or 300°

On a number line, the distance between x and 8 is 2 units.

Which equation can be used to determine the possible values for x?

Answers

Answer:

x+2=8

x+2_2=8_2

x=6

x=2*3

x=6

Select the correct answer from each drop-down menu.
Tyler packed 8 shirts for a trip. Six of the shirts are short-sleeved.
He randomly selects a shirt from his suitcase, replaces the shirt, and then selects another.

The two times Tyler selects a shirt from the suitcase are( dependent, independent) events
The probability that he selects a short-sleeved shirt both times is (3/4, 9/14, 9/16, 15/28)

I think the first one is independent but I’m not sure on the second.

Answers

Answer:

The two times Tyler selects a shirt from the suitcase are independent events

The probability that he selects a short-sleeved shirt both times is 9/16.

Step-by-step explanation:

We know whether this event is independent or dependent if the first outcome affects the second outcome. With the information given, we know this event is independent because Tyler replaced the shirt when he chose a second time, meaning the total amount of shirts didn't change.

To find the probability, we use the multiplication rule:

[tex]\frac{6}{8}[/tex] ← the amount of short-sleeved shirts Tyler has

[tex]\frac{6}{8}[/tex] × [tex]\frac{6}{8}[/tex] = [tex]\frac{36}{64}[/tex] = [tex]\frac{9}{16}[/tex]

- 2022 Edmentum

The two times Tyler selects a shirt from the suitcase are independent events, the probability that he selects a short-sleeved shirt both times is 9/16, the correct option is C.

What is Probability?

Probability is the likeliness of an event to happen, it has a range from 0 to 1.

The number of short sleeved shirts are 6

Total number of shirts is 8

The event is independent as the second event is not dependent on the first event as the shirt is being replaced by another shirt.

The probability that he picks a short sleeved shirt is (6/8)

The probability that he picks a short sleeved shirt both times is

= (6/8) *(6/8)

= (9 /16)

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP Which statement would be LEAST LIKELY to occur based on the probability?

Answers

Answer:

i believe the answer is 1/9, sry if im wrong

Step-by-step explanation:

 

Molly and her friends just dined at a restaurant and left a tip of $20.54, which was equal to exactly 30% of the total bill. What was the total bill in dollars? Round your answer to two decimal places.

Answers

Answer:

68.47

Step-by-step explanation:

30%=0.3

20.54/0.3=68.4666……

Use the equation below to find c, if a = 39 and b= 27.
c=180-a-b
c=0
X
5 ?

Answers

Answer:

the answer is 114

Step-by-step explanation:

Select the correct answer from the drop-down menu.
Consider this system of linear equations:
y- x= -13
-4x + 3y = -51
The solution of the system of equations is
Reset
Next

Answers

Answer:

y - x= - 13   -------(1)

- 4x + 3y = -51 -------(2)

(1) => y = - 13 + x

Substitute y in (2)

- 4x + 3( - 13 + x) = -51

- 4x - 39 + 3x = -51

- x = -51 + 39

- x = -12

x = 12

Substitute x in (1)

y = - 13 + x = -13 + 12 = - 1

x = 12, y = -1

I need this in 10 mins I’m BEGGING HELP

Answers

Answer:

148.5 in^2

Step-by-step explanation:

First, get the area of the rectangle

A = 15*12

A = 180

Now the area of the triangle, with the base at 3.5

A = h b/2

A = 9 * 3.5/2

A = 15.75

Since you have 2 halves, add them together., 31.5

Substract 31.5 from 180

Answer:

180 in

Step-by-step explanation:

Because if you multiply 15×12 it gives you 180

Which transformation will always map a parallelogram onto itself?
OA
a 90° rotation about its center
B.
a reflection across one of its diagonals
Ос.
a 180° rotation about its center
OD.
a reflection across a line jolning the midpoints of opposite sides

Answers

Answer:  C) a 180 degree rotation about its center

Explanation:

Draw out a rectangle and make sure it's not a square. So you could have it be longer than it is tall. Imagine rotating that rectangle 180 degrees. The before and after (preimage and image) will be identical. The same applies if we slanted the sides of this rectangle. This shows that any parallelogram has rotational symmetry.

Side note: any rectangle is a parallelogram, but not the other way around.

What is another way to write this??

Answers

Answer:

b is the answer

....................

Answer:

B.

Step-by-step explanation:

The negative (-) must be within the parentheses “(..)”. The expression is repeated four times, thus (-2/3)^4


What is the difference between the highest percent of votes received by student in the lowest percent of votes received by a student? Round to the nearest whole number if needed.

A. 20%
B. 8%
C. 35%
D. 15%​

Answers

Answer:

A) 20%

Step-by-step explanation:

The total votes are:

40 + 70 + 60 + 90 = 260

Rebecca has the highest percent of votes which is 90 votes. To find the %:

90/260 ≈ 34.62%

Amy has the lowest percent of votes which is 40 votes.

40/260 ≈ 15.38%

Finding the difference:

34.62 - 15.38

19.24

So, it's around 20%

when the crispy rice treats cool, mrs.williams cuts them into 30 equal pieces. she gives two-fifths of the treats will mrs.willimas take to school.

a. 18 treats

a. 19 treats

c. 14 treats

d. 16 treats

Answers

16 total treats is what she will take to school

Answer:

18 treats

Step-by-step explanation:

If she gives  2/5  of 30  = 12

so 3/5 of 30 is 18  (also 30-12 =18)

a chord 30cm long is 20cm from the centre of a circle. Calculate the length of a chord which is 24cm from the centre. please show workings​

Answers

The length of a chord which is 24cm from the Centre is: 14 cm

How to find the length of the chord?

Applying the Pythagorean theorem to the two right angle triangles that will be formed gives the radius of the circle from the first condition as:

R = √[(30/2)² + 20²]

R = √(15² + 20²)

R = √625

R = 25 cm

The length L of the another chord is calculated as:

L/2 = √(R² - 24²)

L/2 = √(25² - 24²)

L/2 = √49

L/2 = 7

L = 14 cm

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Find the value of X.

Answers

Answer:

x = 34

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(DIFFERENCE of Intercepted Arcs)

x = 1/2(100-32)

x = 1/2 (68)

x =34

Pythagorean Theorem Digital Escape,I need help with the Answer Immediately!!!!!!!!

Answers

Answer:

HCFD

Step-by-step explanation:

a² + b² = c² => a² = c² - b² => a = √(c² - b²)

=> the height of the window = √[(the given length of the latter)² - (the distance from the latter to the base of the building, 3.5 meters)²]

A) √(5.5² - 3.5²) ≈ 4.24 => H

B) √(8.8² - 3.5²) ≈ 8.07 => C

C) √(9.3² - 3.5²) ≈ 8.62 => F

D) √(7.9² - 3.5²) ≈ 7.08 => D

Mrs.Taylor has cards labeled with rational numbers. *Three cards are labeled -6.35 *One card is labeled -7.53 *Two cards are labeled 8.31 What are the average numbers on the cards? *please help me on this!!*

Answers

Answer:

about 1.18 is the closest is what i got

Step-by-step explanation:

I need help with this question

Answers

-3 -12 -5 in that order

Answer:

-3

-12

-33

Step-by-step explanation:

sorry if i m wrong.

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