In ΔRST, r = 690 cm, s = 410 cm and ∠T=64°. Find the area of ΔRST, to the nearest square centimeter

Answers

Answer 1

The area of the triangle RST is the amount of space on the triangle RST

The area of the triangle RST is 127135 square cm

How to determine the area?

The given parameters are:

r = 690 cm, s = 410 cm and ∠T=64°.

Using the sine function, the area of ΔRST is calculated as:

[tex]A = 0.5rs\sin(T)[/tex]

Subsitute known values

A = 0.5 * 690 * 410 * sin(64 degrees)

Evaluate the sine ratio

A = 0.5 * 690 * 410 * 0.8988

Evaluate the product

A = 127135.26

Approximate

A = 127135

Hence, the area of the triangle RST is 127135 square cm

Read more about areas at:

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Related Questions

Solve the inequality

Answers

Answer:

c > 9

Step-by-step explanation:

[tex]\dfrac{2c}{3}+1 > 7[/tex]

Subtract 1 from both sides:

[tex]\implies \dfrac{2c}{3} > 6[/tex]

Multiply both sides by 3:

[tex]\implies 2c > 18[/tex]

Divide both sides by 2:

[tex]\implies c > 9[/tex]

hello

2 c /3 + 1 > 7

2 c /3  > 21/3 - 3/3

2 c > 18

c > 9

] 9 : + ∞ [

Write an equation to represent each problem. Do not solve.


1. The sum of fifteen and six times a number t is eighty-one. What is the number?

Answers

Answer:

(15 + 6) · t = 81

How do I find the dimension of this cylinder

Answers

Answer:

10 in

Step-by-step explanation:

Volume of a Cylinder :

V = pi r² h

h = V / pi r²

h = 10,000pi / pi 32²

simplify pi

h = 10,000/1024 = 9.76

h = approx 10 in

I think you multiply the diameter by its width.

Question 3 of 10
Which of the following represents the set of possible rational roots for the
polynomial shown below?
2x^3+ 5x^2 – 8x – 20 = 0

Answers

Answer:

2x^3-8x+5x^2-20

2x(x^2-4)+5(x^2-4)

(2x+5)(x^2-4)

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

What is the value of 9 + 21 (13 + 5)

Answers

Answer:

387

Step-by-step explanation:

Answer:

387

Step-by-step explanation:

13+5

18*21

378+9

=387

HELP PLEASE HELP HELP PLESAE HELP!

Answers

Answer:

15

Step-by-step explanation:

what is the slope of the function represented by the table of values below

Answers

Answer:

the table of values?

Step-by-step explanation:

My mother purchase my candy bars at Food lion for $13.50 what is the price per candy bar?

Answers

1.5 dollars per candy bar because 13.50 divided by 9 is 1.5 :)

Help me with this question plzzzz ignore it being marked

Answers

Answer:

d

Step-by-step explanation:

caffeine takes a certain amount of time to leave your system. if you drink 3 cups of coffee in the morning, the function that represents the amount of caffeine remaining in your body after drinking the coffee is given by g(t)=130(.8246)t where t is time in hours
A. How much caffeine remains in your system after day 1
B. How much caffeine remains in your system after 2 days?

Answers

Given:

The function g(t) represents the amount of caffeine remaining in your body after drinking the coffee.

[tex]g(t)=130(.8246)^t[/tex]

where t is time in hours.

To find:

The caffeine remains in your system after day 1.

The caffeine remains in your system after day 2.

Solution:

We know that,

1 day = 24 hours.

2 day = 48 hours.

The given function is

[tex]g(t)=130(.8246)^t[/tex]

Substitute t=24 in the given function to find the remaining caffeine in the system after day 1.

[tex]g(24)=130(.8246)^{24}[/tex]

[tex]g(24)=130(0.00977)[/tex]

[tex]g(24)=1.2701[/tex]

Therefore, the remains caffeine in your system after day 1 is about 1.2701.

Substitute t=48 in the given function to find the remaining caffeine in the system after day 1.

[tex]g(48)=130(.8246)^{48}[/tex]

[tex]g(48)=130(0.000095)[/tex]

[tex]g(48)=0.01235[/tex]

[tex]g(48)\approx 0.0124[/tex]

Therefore, the remains caffeine in your system after day 1 is about 0.0124.

Answer: for one day, it’s 0.0124

Step-by-step explanation:1d=24h

g(24)

theoretically, if a card is drawn at random 500 times, how many times would you expect to get a spade?

Answers

Answer:

[tex]\frac{1}{650}[/tex]

Step-by-step explanation:

There are 52 cards in a deck. 4 of them are aces. Hence, one probability of you drawing an ace is [tex]\frac{4}{52}[/tex], or [tex]\frac{1}{13}[/tex]. 13 times 500 is 650. Hence, the answer is 1/650.

T Stands For Tether

If Cos T = 0.6 And Sin T = 0.8, Find Tan T​

Answers

Answer:

tan T = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

using the identity

tan T = [tex]\frac{sinT}{cosT}[/tex] = [tex]\frac{0.8}{0.6}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]

please help will give brainly

Answers

Answer:

Angle A: 52.5

Angle B: 68.9

Angle C: 58.6

Step-by-step explanation:

Brainliest?

:)

please help me I don´t get it?

Answers

A straight line has 180 degrees. To find angle 1, subtract 43 from 180 which is 137.
Angle 2 is also 43 degrees and angle 3 would be 137 degrees.

Answer:

∠1 = 137

∠2 = 43

∠3 = 137

Step-by-step explanation:

∠2 and 43 are alternate interior angles.

Alternate interior angles are equal.

So,

∠2 = 43.

∠1 and ∠3 are also alternate interior angles,

So,

∠1 = ∠3

∠1 and 42 are linear pair angles.

Sum of linear pair angles is 180,

∠1 + 42 = 180

∠1 = 180 - 43

∠1 = 137

Since,

∠1 = ∠3

So,

∠3 = 137

Hence,

∠1 = 137

∠2 = 43

∠3 = 137

Note : -

Alternate interior angles and linear pair angles are properties of angles.

And are applicable when two lines intersect or more than two lines interest.

can anyone help me please

Answers

Great work except for my new account and it will take a month for it now to start

Answer:

reflection in the line y = 2

Step-by-step explanation:

the line y = 2 is a horizontal line passing through all points with a y- coordinate of 2

shape A is 1 unit above this line

shape B is 1 unit below this line

then triangle A will map to triangle B under a reflection in this line

is 7 10 12 a right triangle

Answers

Answer:

no

Step-by-step explanation:

using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.

longest side = 12 , then 12² = 144

7² + 10² = 49 + 100 = 149

since 149 ≠ 144 then the triangle is not right

you owe your sister $5.35, and she lends you another $4.50, how much do you owe her now

Answers

You would now have to pay her $9.85

Carter's account has gone into overdraft. His balance is $-43.3. To get back to a positive balance, he plans to deposit money at a steady rate of $24.05 per week. How much will be in his account after 7 weeks?

Answers

Answer:

125.05

Step-by-step explanation:

Used a calculator lol

(Factorize): 10- 10-1-3​

Answers

Answer:

=−4

Step-by-step explanation:

10−10−1−3

=0−1−3

=−1−3

=−4

please help will give brainliest!

Answers

Answer:

The answer i as c

Step-by-step explanation:

f(t)=6+30t-16t^2 How do you think the squared term -16t^2 affects the value of the function f? What does this term reveal about the situation?​

Answers

Answer:

F(t)=6t+15t^2−16/3 t^3 + C

Step-by-step explanation:

hope this helps

HELP HELP HELP HELP HELP HELP HELP

Answers

Answer:

40

Step-by-step explanation:

4 right angled triangles

Rosa has 14 meters of string . She uses 8 .25 meters for a kite . How much string does Rosa have left?

Answers

Answer:

5.75

Step-by-step explanation:

14 - 8.25 = 5.75

7) Choose the inequality that represents the statement.

The water level will be 10 feet or lower by tomorrow.

Answers

It’s the first one x equals less than or equal to ten

The water level will be 10 feet or lower by tomorrow, the correct inequality for this is x [tex]\leq \\[/tex] 10. Hence, the first option is the correct one.

What is inequality?

A connection in mathematics that compares two numbers or other mathematical expressions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line. To indicate various sorts of inequalities, a variety of notations are used:

A less than symbol (a < b) indicates that an is less than b.A bigger value than b is indicated by the notation a > b.

These relationships are referred to be stringent inequalities since an is either strictly less than or strictly greater than b in these cases.

According to the question,

water will be equal to 10 feet or lower than 10 feet it cannot be greater than 10 feet.

Assume water is represented by x.

For water equal to 10 feet: x = 10 feet and,

For water lower than 10 feet: x < 10 feet.

So, we can write both like this: x [tex]\leq[/tex] 10

This concludes that the first option is correct.

To get more information about inequality :

https://brainly.com/question/28823603

#SPJ5

Pls answer i will mark u brainlist

Answers

Me again. I would appreciate the brainlist. Just go on khan academy to find the answer

What is the surface area of this right prism? Enter your answer in the box. m² Right triangular prism.

Answers

Hey there!

How to calculate Surface area

Step 1: Find the area of the top and the base triangles using the formula, Area of the two base triangles = 2 × (1/2 × base of the triangle × height of the triangle) which simplifies to 'base × height' (bh).

Step 2: Find the product of the length of the prism and the perimeter of the base triangle which will give the lateral surface area = (S1 + S2 + h) × l.

Step 3: Add all the areas together to get the total surface area of a right triangular prism in square units. This means, total surface area of a right triangular prism = (S1 + S2 + h) × l + bh

⇒ SA = (12 + 15 + 9) × 6 + (12)(9)

⇒ SA = (36)(6)+(108)

⇒ SA = 324 square units

Thus, the surface area of the right triangular prism is 324 square units.

Evaluate the function f(x)=5-3x when x=-1 and 3

Answers

Answer:

f(-1)=8

f(3)=-4

Step-by-step explanation:

when x equals -1 you substitute -1 for x in the equation which would look like 5-3(-1) which you would then multiply -3 by -1 and get 3 which 5+3 would equal 8 so f(-1) equals 8

When x equals 3 you substitute 3 for x in the equation which would look like 5-3(3) which you would then multiply -3 by 3 which would give you 5-9 which equals -4 so f(3) equals -4

On Tuesday, the temperature was 14°F. The next day it was 7° warmer. However, the wind chill temperature was 25° colder than the actual temperature. Victor says the windchill temperature is -18°F. Is he correct? Explain your reasoning.

Answers

The actual temperature was 14° + 7° =21°.
The windchill temperature was 21° - 25° = -4°.
Victor says the windchill temperature is -18°. This is incorrect because the windchill temperate is, in fact, -4°.

what is the denominator for 2/3 and 4/6

Answers

Answer:

the least common denominator for 3 and 6 is 6

What is z? z/100 = 6/4

Answers

Answer:

150/100

Step-by-step explanation:

Answer:

z= 150

Step-by-step explanation:

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