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
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HELP HELP HELP HELP HELP HELP HELP
Answer:
40
Step-by-step explanation:
4 right angled triangles
can anyone help me please
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
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?
Answer:
F(t)=6t+15t^2−16/3 t^3 + C
Step-by-step explanation:
hope this helps
theoretically, if a card is drawn at random 500 times, how many times would you expect to get a spade?
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.
How do I find the dimension of this cylinder
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
7) Choose the inequality that represents the statement.
The water level will be 10 feet or lower by tomorrow.
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.
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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
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)
please help me I don´t get it?
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.
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?
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)
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.
Rosa has 14 meters of string . She uses 8 .25 meters for a kite . How much string does Rosa have left?
Answer:
5.75
Step-by-step explanation:
14 - 8.25 = 5.75
T Stands For Tether
If Cos T = 0.6 And Sin T = 0.8, Find Tan T
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]
What is the surface area of this right prism? Enter your answer in the box. m² Right triangular prism.
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.
please help will give brainliest!
Answer:
The answer i as c
Step-by-step explanation:
My mother purchase my candy bars at Food lion for $13.50 what is the price per candy bar?
1.5 dollars per candy bar because 13.50 divided by 9 is 1.5 :)
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?
Answer:
125.05
Step-by-step explanation:
Used a calculator lol
What is the value of 9 + 21 (13 + 5)
Answer:
387
Step-by-step explanation:
Answer:
387
Step-by-step explanation:
13+5
18*21
378+9
=387
Evaluate the function f(x)=5-3x when x=-1 and 3
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
please help will give brainly
Answer:
Angle A: 52.5
Angle B: 68.9
Angle C: 58.6
Step-by-step explanation:
Brainliest?
:)
what is the denominator for 2/3 and 4/6
Answer:
the least common denominator for 3 and 6 is 6
Pls answer i will mark u brainlist
Solve the inequality
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?
Answer:
(15 + 6) · t = 81
HELP PLEASE HELP HELP PLESAE HELP!
Answer:
15
Step-by-step explanation:
(Factorize): 10- 10-1-3
Answer:
=−4
Step-by-step explanation:
10−10−1−3
=0−1−3
=−1−3
=−4
what is the slope of the function represented by the table of values below
Answer:
the table of values?
Step-by-step explanation:
Help me with this question plzzzz ignore it being marked
Answer:
d
Step-by-step explanation:
What is z? z/100 = 6/4
Answer:
150/100
Step-by-step explanation:
Answer:
z= 150
Step-by-step explanation:
is 7 10 12 a right triangle
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