Express sin T as a fraction in simplest terms.

Express Sin T As A Fraction In Simplest Terms.

Answers

Answer 1

Answer:

sinT = [tex]\frac{15}{17}[/tex]

Step-by-step explanation:

We require to calculate RT before obtaining sinT

Using Pythagoras' identity in the right triangle

RT² = 30² + 16² = 900 + 256 = 1156 ( take the square root of both sides )

RT  = [tex]\sqrt{1156}[/tex] = 34 , then

sinT = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RS}{RT}[/tex] = [tex]\frac{30}{34}[/tex] = [tex]\frac{15}{17}[/tex]


Related Questions

Pls, help me with this geometry question.

Answers

Answer:

x=45 degree

Step-by-step explanation:

x+135=180 degree (0pposite angles of a inscribed quadilateral in a circle are supplement of eaach other)

x=180-135

x=45 degree

Please can someone help me ?

Answers

Answer:

Step-by-step explanation:

1/(3x+5)(3x-5) - 1/2(3x+5)

2 - (3x-5)

2(3x+5)(3x-5)

2-3x+5

2(3x+5)(3x-5)

-3x + 7

2(3x+5)(3x-5)

Simplify...................​

Answers

Answer:

(a+b)/2(a-b)

Step-by-step explanation:

Explained in the paper

Goodluck

determine the slope between -2,6 3,4

Answers

The slope is -999’inc because yssjjdidijdnxjdnxnnxkxkx

URGENT PLEASE HELP: Simplify

Answers

Answer:

cot (x)

Step-by-step explanation:

cot x

---------------

cos x  sec x

We know that sec = 1/ cos

cot x

---------------

cos x  1/ cos x

cot x

---------------

1

cot (x)

Answer:

You're clicking on the correct answer, it's cot with that symbol, I dont have the symbol.


The point-slope form of the equation of a line that passes through points (8. 4) and (0, 2) is y-4 = (x-8). What
is the slope-intercept form of the equation for this line?
O y= 2 x - 12
O y=-x-4
o y=+*+2
O y=x+6

Answers

Answer:

answer y=x-4

Step-by-step explanation:

slope intercept from is y=mx+b

m=slope b=y intercept

convert current equation to slope intercept

y-4=x-8

add 4 to both sides

y=-x-4

if x= 3-2^2 then find the value of x^2+1÷x^2​

Answers

X = 3-2^2

Simplify x:

3-4 = -1

X = -1

Replace x in the equation and solve:

(-1) ^2 + 1 /(-1)^2

(-1)^2 = 1

Simplify to get 1 + 1/1 = 1+ 1 = 2

The answer = 2

Please help fast for question A and B I’d appreciate it

Answers

Step-by-step explanation:

a) Since the precision of the ruler is 1 mm, the uncertainty associated with this ruler is +-0.5mm. So the tire tread has a depth of 7.0 mm +- 0.5mm. The amount of tire thread that has worn off is

11.2 mm - (7.0 mm +- 0.5 mm) = 4.2 +- 0.5 mm

b) The tire thread can anywhere between 3.1 mm and 3.5 mm. Since the lower limit has gone below the legal limit of 3.2 mm, it's time to change the tire.

Help please help 50 points!!!!! no links or i will report if you know how to solve just answeer pllllease !!

Answers

Answer:

39.6 degrees

Step-by-step explanation:

There are 176 baseball answers out of 1600

There are 360 degrees in a circle

Multiply the fraction of baseball responses by the degrees in a circle

176/1600 * 360

198/5

39.6 degrees

A rectangle has a length of 30 and A diagonal that measures 34. What is the width of the rectangle? (Round your answer to the nearest tenth)

Answers

Answer:

45.34

Step-by-step explanation:

you have to use the pythagorean theorem

Taxi A charges a fee of $3.50, plus $1.75 per mile. Taxi B charges a few of $1.25, plus $2.00 per mile. At what distance would the taxi cost the same?

Answers

Taxi A
1mile £3.50+£1.75=£5.25
Taxi B
1mile £1.25+£2.00=£3.25

Taxi A
2miles £3.50+£3.50=£7.00
Taxi B
2miles £1.25+£4.00=£5.25

Taxi A
3miles £3.50+£5.25=£8.75
Taxi B
3miles £1.25+£6.00=£7.25

Taxi A
4miles £3.50+£7.00=£10.50
Taxi B
4miles £1.25+£8.00=£9.25

Taxi A
5miles £3.50+£8.75=£12.25
Taxi B
5miles £1.25+£10.00=£11.25

Taxi A
6miles £3.50+£10.50=£14.00
Taxi B
6miles £1.25+£12.00=£13.25

Taxi A
7miles £3.50+£12.25=£15.75
Taxi B
7miles £1.25+£14.00=£15.25

Taxi A
8miles £3.50+£14.00=£17.50
Taxi B
8miles £1.25+£16.00=£17.25

Taxi A
9miles £3.50+£15.75=£19.25 (the same)
Taxi B
9miles £1.25+£18.00=£19.25 (the same)

^^^
They would have to drive 9 miles for the taxi to cost the same.

Hope this helped, this is the longest way to work it out but also the simplest.

PLEASE ANSWER QUICKLY! WILL MARK YOU BRAINLIEST IF CORRECT!!! Find x. Round your answer to the nearest integer,
O A. 20
ОО
B. 19
O C. 15
O D. 12

Answers

Answer:

x = 15

Step-by-step explanation:

sin = opp/hyp

sin37 = x / 25

Multiply both sides by 25

25 * sin37 = x

Use calculator

15.045375578801207 = x

Rounded

x = 15

D

Step-by-step explanation:

the answer is 12

if we add 25+12 =37

if we subtract 37-25 =12

Find the second derivative of the function.

Answers

Answer:

[tex] \displaystyle d)\frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]

Step-by-step explanation:

we would like to figure out the second derivative of the following:

[tex] \displaystyle y = \frac{ {x}^{4} + 7}{ {x}^{2} } [/tex]

we can rewrite it thus rewrite:

[tex] \displaystyle y = {x}^{2} + 7 {x}^{ - 2} [/tex]

take derivative in both sides:

[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}( {x}^{2} + 7 {x}^{ - 2} )[/tex]

by sum derivation we obtain:

[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx}{x}^{2} + \frac{d}{dx} 7 {x}^{ - 2}[/tex]

by exponent derivation we acquire:

[tex] \displaystyle \frac{dy}{dx} = 2{x}^{} - 14 {x}^{ - 3}[/tex]

take derivative In both sides once again:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } (2{x}^{} - 14 {x}^{ - 3})[/tex]

use difference rule which yields:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = \frac{d}{d x } 2{x}^{} - \frac{d}{dx} 14{x}^{ - 3}[/tex]

use exponent derivation which yields:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + 42{x}^{ - 4}[/tex]

by law of exponent we get:

[tex] \displaystyle \frac{d ^{2} y}{d{x}^{2} } = 2 + \frac{ 42}{ {x}^{4} }[/tex]

hence, our answer is d)

A water pail in your backyard has a small hole in it. You notice that it has drained a total of 2.5 liters in 4 days. What is the average change in water volume each day?

Answers

Answer:

0.625 liters

Step-by-step explanation:

Given data

volume drained= 2.5Liters

Time= 4 days

Now the if 4 days leakage will produce a volume of 2.5Liters

Then 1 day will produce a volume of x liters

cross multiply

4x= 2.5

x= 2.5/4

x= 0.625 liters per day

Hence, each day will produce  0.625 liters

Estimate 28 x 31 x 3

Answers

Answer:

2604

Step-by-step explanation:

Answer:

2600 as a estimate but it is 2604

Step-by-step explanation:

List all the possible numbers for ALL 4 Quadrants (in terms of negative, positive).










What Quadrant would the following numbers be in:

-4, -6 ______
+5, +5______
-4, +1 ______
+3, -7 _____

Answers

JxkskKzk lflodlslslslss

solve the inequality 2-x<7

Answers

Answer:

x>-5

Step-by-step explanation:

2-x<7

Subtract 2 from each side

2-x-2<7-2

-x<5

Multiply each side by -1, remembering to flip the inequality

x>-5

Expand and simplify:
(x + 1)(2x - 3)
with the explaining the steps​

Answers

Answer:  2x^2 - x - 3

====================================

Work Shown:

(x+1)(2x-3)

y(2x-3)

2xy - 3y

2x( y ) - 3( y )

2x( x+1 ) - 3( x+1 )

2x^2+2x - 3x-3

2x^2 - x - 3

Explanation:

In the second step, I replaced all of (x+1) with y. Afterward, I distributed that y term through. A few steps later, I replaced y with x+1 to help finish up the distributions. You could use the FOIL rule as an alternative approach.

= X(2X-3) + 1 ( 2X-3)
=(2X*2 -3X) + (2X-3)
=2x*2 - 3X + 2x-3
=2x*2-x-3

3x<11.75 solve for x please, with step on how you got to that answer!

Answers

Answer:

See below

Step-by-step explanation:

3x < 11.75

11.75 / 3 = 3.92

x < 3.92

SOMEONE PLEASE HELP ME!!!!

Answers

Answer:

Step-by-step explanation:

scale factor=17/36

A business purchases a computer system for $3,000. The value of the
system decreases at a rate of 15% per year. What is the computer system
value after 5 years?

Answers

Answer: $6335.76

Step-by-step explanation:

you would do 3,000 times 105% = 3450

then you would do 3450 times 105% = 3967.5 then you would do 3967.5 times 105% = 4562.62 then you would do 4562.62 times 105% = 5247.01 next you would do 5247.01 times 105% = 6034.06 finally you would do 6034.06 times 105% = 6335.76

write and solve an equation given the following information. Angles 1 and 2 are complementary. the measure of angle 2 is 18 larger than the measure of angle 1.
A.) x + (x + 18) = 90, x = 36
B.) x + (x + 18) = 180, x = 81
C.) 2x + 72 = 90, x = 9
D.) x + (x - 18) = 90, x = 54


Will give brainlist!!

Answers

The answer is A because complementary is 2 angle that add up to 90

Eli is following this recipe to bake bread rolls.
He uses 600 mL of water.
How much of the other ingredients does he use?

Recipe: Makes 10 bread rolls
600 g flour
9 g salt
12 g yeast
30 mL oil
500 mL water

Answers

Answer:

flour 720 g

salt 10.8 g

yeast 14.4 g

oil 36 ml

water 600 ml

Step-by-step explanation:

600 ml - 500 ml = 100 ml = 20% more

Set up ratios to determine 20% of each ingredient and add to the original amount.

Example:

20%/100% = x ml/30 ml

20x30÷100=6

So, for oil, you need 30 ml + 6 ml = 36 ml

6 ml = 20% more

solve for q: plz help

Answers

Answer:

-0.67 rounded to hundredths

Step-by-step explanation:

3×(q + 4/3) = 2

q + 4/3 = 2/3

q = -2/3 = -0.666666666666...

Which pairs of angles in the figure below are vertical angles?
Check all that apply

Answers

Answer:

[see below]

Step-by-step explanation:

Vertical angles are simply opposite angles that are made from intersecting lines.

The most appropriate pairs would be vertical pairs:

∠NSI and ∠TSW

∠NST and ∠ISW

The angles are opposite of each other and formed from the two lines.

Hope this helps.

Some angles are shown. Complete each of the 2 activities for this Task. Activity 1 of 2 The measure of angle NOP is 140°. Which of these equations could be used to find the measure of angle NOQ? A. 23+x=140 B. x−23=140 C. 23×x=140 D. 140÷23=x Activity 2 of 2 What is the measure, in degrees, of angle NOQ?

Answers

Answer:

A. 23+x=140

Step-by-step explanation:

The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:

m∠AOB + m∠BOC = m∠AOC.

From the image:

∠NOP = ∠NOQ + ∠QOP

∠NOP = 140, ∠NOQ = x, ∠QOP = 23

substituting:

140 = x + 23

x = 140 - 23 = 117

∠NOQ = 117°

Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.

Find measure of angles B, E, D and C and the length of BC.

Answers

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

How do you factor the quadratic equation 3x^2 + 8x + 3 to find the roots?

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

The quadratic is not factorable, to figure this out use this formula (b^2-4ac) to figure out the discriminant. If the discriminant comes out to be a perfect square or equal to zero then we can say it’s factorable if it does not meet those requirements it’s not. In this problem it’s 8^2-4*3*3. Simplify and you get 64-36 which is equal to 28. 28 is not a perfect square or equal to zero therefore this is not factorable. If you need the root the quadratic formula would be a good option also look on the bottom if that’s what u need.

Hope this helps!

Please someone help i'm struggling with this work!

Answers

Answer:

5es7tc6fz8s5exf UFO zd5d 3azyfxf6f,a3

Step-by-step explanation:

It is abe

which expression is equivalent to 2x^(2)+11x+5

Answers

Answer:

(x + 5)(2x + 1)

Step-by-step explanation:

Given

2x² + 11x + 5

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × 5 = + 10 and sum = + 11

The factors are + 10 and + 1

Use these factors to split the x- term

2x² + 10x + x + 5 ( factor the first/second and third/fourth terms )

= 2x(x + 5) + 1 (x + 5) ← factor out (x + 5 from each term

= (x + 5)(2x + 1) ← in factored form

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