Answers
Answer:
We have a triangle rectangle here.
We know that:
AC = 15
BC = 8
AB = 17
We know that in a triangle rectangle the longest side is the hypotenuse.
In the image we can see that the shorter side is the base, then BC is the base.
AC is the height.
AB is the hypotenuse.
Such that:
A is the top vertex.
B is the bottom right vertex
C is the bottom left vertex.
Now you need to remember the relations:
Sin(θ) = (opposite cathetus)/(hypotenuse)
Cos(θ) = (adjacent cathetus)/(hypotenuse)
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
then:
Sin (A) = (AC)/(AB) = 15/17 = 0.88
Cos(B) = (AC)/(AB) = 15/17 = 0.88
Tan(B) = (AC)/(CB) = 15/8 = 1.875
Now we want to find the measure of angle A.
We know that:
Sin(A) = 0.88
Then if we apply the Asin( ) function in both sides, we get:
Asin( Sin(A)) = Asin(0.88)
A = Asin(0.88) = 61.6°
(the Asin() function is the inverse of the sin() function)
Now we have:
sin(x) = 0.906
We do the same thing as before.
Asin(sin(x)) = Asin(0.906)
x = Asin(0.906) = 65°
And:
Sin(87°) = 0.999
Related Questions
If y equals 14, what does x equal in the following equation?
(No links please. Yes I’m talking to you robot people that have no life and put useless links in ever person question.)
у = 3х - 7
1) x = 4
2) x = 5
3) x = 6
4) x = 1
Answers
Shaylee is determining if 6 is the solution to the equation.
Answers
Answer:
please give me brainlist and follow
Step-by-step explanation:
42 ÷ w = 7 for w = 6. First, Shaylee must substitute ( ) for ( ). To simplify, Shaylee must divide ( ) by ( ) .
Round 8.51348434552 to 3 decimal places
Answers
Answer:
The answer is 8.513
Step-by-step explanation:
You got to the fourth number after the decimal if it's below five the previous number stays the name is five or above it would've been 8.514.
y = 5 (0.3)? Is this exponential growth or decay?
Answers
I believe it is exponential growth
Answer: decay
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINIEST. How many students received less than 6 gifts?
Answers
3+6+3
3+6=9+3=12
12 students received less than 6 gifts.
Hope this helps
Write an explicate formula for this sequence -2, 6, -18, 54
Answers
Answer:
7 =121 and t underscore 15 =193
Step-by-step explanation:
Answer:
[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
r = 6 ÷ - 2 = - 18 ÷ 6 = 54 ÷ - 18 = - 3
This indicates the sequence is geometric with explicit formula
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = - 3 , then
[tex]a_{n}[/tex] = - 2 [tex](-3)^{n-1}[/tex]
Parallelly lines/angle problem
Answers
Answer:
142 degrees
Step-by-step explanation:
Calculate the area of the shapes below.
2.
8 ft
4 ft
12 ft
Please LOL
Answers
Answer:
good luck!
Step-by-step explanation:
Una bacteria se divide en dos cada 6 minutos Si a las 12:15 horas se coloca una bacteria en un recipiente¿ A que hora habrá 128 bacterias en el recipiente?
Answers
Answer:
A las 12:57 horas habrá 128 bacterias en el recipiente.
Step-by-step explanation:
Una función exponencial es aquella en que la variable independiente x aparece en el exponente y tiene de base una constante a. Su expresión es:
f(x)= aˣ
Siendo a un real positivo, a > 0, y diferente de 1.
Cuando 0 < a < 1, entonces la función exponencial es una función decreciente y cuando a > 1, es una función creciente.
Algunos tipos de bacterias se reproducen por "mitosis", dividiéndose la célula en dos cada espacios de tiempo pequeños, como sucede en este caso. Entonces, "a" tendrá un valor de 2, que es la cantidad en la que se divide la bacteria, y "x" será los intervalos de tiempo. Si hay 128 bacterias en el recipiente, la expresión exponencial del crecimiento de la bacteria en x intervalo de tiempo será:
2ˣ= 128
Una manera de resolver la x es aplicando logaritmos. Entonces, aplicando el logaritmo común de ambos lados. (Cuando la base no está escrita, se trata de la base 10):
log (2ˣ) = log (128)
Aplicando la propiedad de la potencia de los logaritmos:
x* log (2)= log (128)
x= log (128) ÷ log (2)
x= 7
Cada intervalo de tiempo tiene 6 minutos, que es el tiempo en que una bacteria se divide en 2. Entonces, el tiempo que se tarda en obtener 128 bacterias se calcula como:
7 intervalo* 6 minutos= 42 minutos
Si a las 12:15 horas se coloca una bacteria en un recipiente, entonces el horario a la que habrá 128 bacterias se calcula como:
12:15 + 42 minutos= 12:57
A las 12:57 horas habrá 128 bacterias en el recipiente.
PLEASE HELP Question 3
Segment PR and segment QS are diameters of circle U. Find measure of
arc TQR.
Answers
Answer:
74
Step-by-step explanation:
42+64=106
180-106=74
If the measure of <1 = 37 degrees what is the measure of <3
Answers
Answer:
x= 119
Step-by-step explanation:
All triangles have a sum of 180 degrees for all of their angles
so 180= 24+37+ x
x= 119
a movie theater has 15 rows of State each rows have 24. if there where 28 empty seats during one show how many people where there?
Answers
Answer:
332
Step-by-step explanation:
To find how many seats there were, multiply the number of rows with the number of seats in each row:
15 (24) = 360
From these total seats, there are 28 empty seats, meaning:
360 - 28 = 332
There were 332 people.
to (7x – 5) – (3x – 2)?
Answers
Answer:
x=0.75
Step-by-step explanation:
Mhanifa please help this is due asap
Answers
Answer:
#1
x/ 6 = 4/8 ⇒ x = 3y/10 = 4/8 ⇒ y = 5#2
x / 12 = 10 / 15 x = 12*2/3x = 8#3
x/ (x + 2) = 5/66x = 5x + 10x = 10hey...... what's the answer,
[tex] \sqrt{256 \times 256} [/tex]
Answers
Answer:
That would just equal 256.
Hope this helps
Answer:
256
hope it helps...........
Jacks puppy weighed 12 pounds at its first veterinary appointment at the second appointment the puppy's weight had increased by 25% what is the weight in pounds of jacks puppy
Answers
Answer:
15 pounds
Step-by-step explanation:
Given data
Initial weight= 12 pounds
percent increase in weight = 25%
Let us find the increment
=25/100*12
=0.25*12
=3 pounds
Hence the weight in pounds of jacks puppy is
=3+12
=15 pounds
help please
Marcie heated a beaker of water in science class. The scatter plot shows the temperature (y), in degrees Celsius, of the water based on the number of minutes (x) she heated the water.
Part A: The line of best fit for this data is
y = 5.3x + 23. Use this equation to make a conjecture about the temperature of the water in the beaker if heated for 6 minutes.
A.
The water will be about 71⁰C.
B.
The water will be about 55⁰C.
C.
The water will be about 32⁰C.
D.
The water will be about 50⁰C.
Part B: What is the y-intercept in the line of best fit? What does the y-intercept represent in the scatter plot?
A.
5.3; the amount the temperature increases each minute
B.
5.3; the temperature of the water before it is heated
C.
23; the amount the temperature increases each minute
D.
23; the temperature of the water before it is heated
Answers
Answer:
Part AGiven function
y = 5.3x + 23The value of y at x = 6:
y = 5.3*6 + 23 = 54.8° CThe closest choice is :
B. The water will be about 55⁰CPart BThe y-intercept is the value of y when x = 0
y = 5.3*0 + 23 = 23° CThis is the initial temperature at zero minute time, before heating is applied.
Correct choice is:
D. 23; the temperature of the water before it is heatedThe test results for 4 students are: 96, 83, 78, and 83. If one more student's test score of 87 is added, what would increase? Help please!!!
Answers
In a bag there are 3 red marbles, 2 yellow marbles and 1 blue marble. After a marble is selected, it is replaced. After 40 attempts at drawing two marbles from the bag, there were three instances where a blue marble then a yellow marble was pulled. What is the percent difference between the theoretical probability and the experimental probability?
75%
26%
56%
35%
Answers
Answer:
35%
Step-by-step explanation:
The percent error can be found using the
|Experimental value - Theoretical value| divided by |Theoretical value| and multiplied by 100.
I hope this helps
Here, the experimental probability is 1/4 and theoretical probability is 1/18.Then the percent difference between the theoretical probability and the experimental probability is 56%.
What is probability ?The probability is a measure of chances that an event to take place.
Given that,
red marbles = 3
blue marbles =1
yellow marbles = 2
Then.
theoretical probability of selecting a blue marble followed by a yellow marble is:
P(blue and yellow) = P(blue) x P(yellow) = (1/6) x (2/6) = 1/18
Since the marbles are replaced after each draw, the probability of this event is the same for every draw.
The experimental probability of selecting a blue marble followed by a yellow marble after 40 attempts is:
(3/6) x (2/6) x (40 attempts) = 10
Therefore, the experimental probability is 10/40 = 1/4
The percent difference between the theoretical probability and the experimental probability is:
| (experimental probability - theoretical probability) / theoretical probability | x 100%
= | (1/4 - 1/18) / (1/18) | x 100%
= 0.583 x 100%
= 58.3%
Therefore, the percent difference between the theoretical probability and the experimental probability is approximately 58.3%, which is closest to the option 56%.
Find more on probability ?
https://brainly.com/question/30034780
#SPJ3
Someone please help me out
Answers
Answer:
Im not so sure but I think the "b" point there is a right angle.
Step-by-step explanation:
I Hope that answered your question, If it did, please but me a brainliest because, that would be my first ever one!
Thank you!
-Brainly User
HELP OMG!! 5+2x twice a number more than 5 ??!!
Answers
Answer:
5+2(6)
5+12 = 17
Step-by-step explanation:
Hope this is what you were talking about.
Tim deposits $4,000 into each of two savings accounts.
• Account I earns 3% annual simple interest.
• Account II earns 3% interest compounded annually.
Tim does not make any additional deposits or withdrawals. What is the sum of the balances of Account I and Account II at the end of 2 years?
$8,480
$8,480
$8,483.60
$8,483.60
$8,487.20
$8,487.20
$8,240
Answers
Answer:
I think its $8,480 if not I'm sorry
Answer:
8483.60 I had this question too and decided to help you.
Find the pattern and use it to list the next two terms in the sequence.
-53, - 45, – 37, - 29,
-53, -45, -37, - 29,
Answers
-21, -13. the pattern is adding 8 . example: -37+8=-29
The graph of an exponential function is shown on the grid.
Based on the graph, which statement about the function is true?
Answer
A The domain is the set of all real numbers less than 5
B The range is the set of all real numbers less than 0.
C The domain is the set of all real numbers.
The range is the set of all real numbers less than 5.
Answers
Answer:
????
Step-by-step explanation:
Where is the picture?
P.S. I am not answering this question JUST to get points, I will actually revise my answer correctly once you add in a picture! :)
PLEASE HELP I WILL MARK BRANLIEST FOR FIRST AND CORRECT ANSWER AND NO LINKS
Answers
Answer:
I think the Las t answer
Step-by-step explanation:
prime minister and members of the legislature
Answer:
Prime ministierer only :P
Let f (x) = -1/2(x + 2)+ 5
-3 to x=1?
What is the average rate of change for the quadratic function from x=-3 to x=1
Answers
Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change = [tex] \frac{0.5 - 4.5}{1 - (-3)} [/tex]
Rate of change = [tex] \frac{-4}{4} [/tex]
Rate of change = -1
The figure is made up of a square and a rectangle. Find the area of the shaded region.
m2
please help first one correct gets barlyest
Answers
Answer:
[tex] 10 \: { \: m}^{2} [/tex]
Step-by-step explanation:
area of the shaded region = Area of triangle formed in rectangle with base (10 - 6 = 4) 4m and height 2 m + Area of triangle formed in square with base 2 m and height 6 m
[tex] = \frac{1}{2} \times 4 \times 2 +\frac{1}{2} \times 2\times 6 \\ \\ = 4+6 \\ \\ = 10 \: { \: m}^{2} [/tex]
Answer:
shaded region = 10 m squared
Step-by-step explanation:
Area square = 6x6 = 36 Area reatangle 4x2 = 8
both areas = 44
Now lets subtract some white parts to obtain the shaded parts
1/2 of 4x6 = 12
1/2 of 6x6 = 18
1/2 of 4x2 =4
12+18+4= 34
44-34 = 10
a car can travel 70 miles on 5 gallons of gasoline. how much gasoline will it need to go 308 miles
Answers
Answer:
22
Step-by-step explanation:
308/70 = 4.4
4.4 * 5
what is the coefficient of 49n+986=-43
Answers
Answer: 49
Step-by-step explanation: A coefficient is the number placed in front of the variable, meaning n is the unknown number, aka variable. Making 49 the coefficient to that variable.
Hope this helps ^^
Answer:
49
Step-by-step explanation:
A coefficient is the numerical or constant quantity placed before or multiplied by a variable.
Jenny's recipe for pancakes requires 2 cups of milk. The recipe about 15 pancakes.
Answers
Answer:
A
Step-by-step explanation: