Answers
Answer:
[tex]\Huge\boxed{x=53}[/tex]
Step-by-step explanation:
Hello There!
Once again we need to use trigonometry to solve for X
Here are the Trigonometric Ratios:
Sin = Opposite divided by hypotenuse
Cos = adjacent divided by hypotenuse
Tan = Opposite divided by adjacent
We are given the adjacent side of x (45) and the hypotenuse (75) so we need to use cos
Remember cos = adjacent divided by hypotenuse
Now we create an equation
[tex]cos(x)=\frac{45}{75}\\\frac{45}{75} =.6[/tex]
now we have
[tex]cos(x)=.6[/tex]
like always we want to get rid of cos
to do so we take the inverse of cos (arccos^-1) and apply that to each side
[tex]arccos^-^1(cos(x))=x\\arccos^-^1(.6)=53.13010235[/tex]
finally we round to the nearest degree
we're left with x = 53
Related Questions
which is equivalent to the expression (2x+4)(x-6)?
Answers
Answer:
2(x² – 4x – 12)
Step-by-step explanation:
(2x+4)(x–6) →
2(x+2)(x–6) →
2(x(x–6) + 2(x–6)) →
2(x² – 6x + 2x – 12) →
2(x² – 4x – 12)
A compact disc with a diameter of 120. What is the area?
Answers
Step-by-step explanation:
A compact disc with a diameter of 120.
the area=π(d/2)²=π×(120/2)²=60²π=3600π or 11309.73units²
What is the end behavior of a Polynomial that has a leading coefficient of 3 and a leading term with degree 4?
Answers
Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.
Answers
Answer:
1.41
Step-by-step explanation:
Answer:
Use the pythagorean theorem,
a^2+b^2=c^2
1^2+1^2=c^2
1+1=c^2
2=c^2
2=2
Square root of 2 is 1.41 (approximately)
c=1.41
Step-by-step explanation:
What is f(x)? someone please help
Answers
Given:
The table of values for the function f(x).
To find:
The equation for the function f(x).
Solution:
From the given table it is clear that the function passes through the point (0,5) and (1,8). So, the equation of the linear function that passes through the (0,5) and (1,8) is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-5=\dfrac{8-5}{1-0}(x-0)[/tex]
[tex]y-5=\dfrac{3}{1}x[/tex]
[tex]y=3x+5[/tex]
The function notation is:
[tex]f(x)=3x+5[/tex]
Therefore, the required function is [tex]f(x)=3x+5[/tex].
a+3 1/4 = 5 2/9
explain the process and how you got, please. If you dont thats also alright but i would like it.
Answers
Step-by-step explanation:
a = 71/36
Alternate form
a = 1 35/36, a = 1.972
El punto más alto de un repetidor de televisión situado en la cima de una montaña se ve desde un punto del suelo p bajo un ángulo de 67º si nos acercamos a la montaña 30 metros lo vemos bajo un ángulo de 70º y desde ese mismo punto vemos la cima de la montañas bajo un ángulo de 66 °. Calcular la altura del repetidor.
Answers
Answer:
El repetidor tiene aproximadamente 90.494 metros de altura.
Step-by-step explanation:
Al término de esta solución podemos encontrar el diagrama geométrico con toda la información derivada de lo descrito en el enunciado de la pregunta. Aquí designamos la altura del repetidor con la letra [tex]h[/tex], medida en metros. Procedemos a resolver el modelo a partir de la Ley del Seno:
[tex]\frac{30\,m}{\sin 3^{\circ}} = \frac{s}{\sin 67^{\circ}}[/tex]
[tex]s \approx 527.651\,m[/tex]
[tex]\frac{s}{\sin 156^{\circ}} = \frac{h}{\sin 4^{\circ}}[/tex]
[tex]h \approx 90.494\,m[/tex]
El repetidor tiene aproximadamente 90.494 metros de altura.
The Help All Animals Society is having a fundraiser at a local auditorium. They charge $5.00 a ticket to attend the event. If the rental fee for the auditorium is $100, which expression represents the profit if n tickets are sold?
Answers
Step-by-step explanation:
5n-100= profit
...............
4.
George tells you that when variables are in the denominator, the equation 4/6 + 3/x = 1/3 becomes unsolvable. George explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to George how the equation is still solvable and explain your reasoning.
Answers
Answer:
i dont know just need points
Step-by-step explanation:
ANSWER NEEDED QUICKLY‼️ BRAINLIEST TO RIGHT ANSWER
Answers
(Hope this helps!!) Can I pls have brainliest??
An editor gets $2890 raise each year. In her eighth year, she is making $27,400 per year. Write a function that represents her income after x years she has worked at the company
Answers
Answer: [tex]7170+2890x[/tex]
Step-by-step explanation:
Given
Editor gets a raise of [tex]\$2890[/tex] each year
In her eighth year, she is making [tex]\$27,400[/tex]
Eighth years refers to 7 complete year
Suppose she starts with an amount of P
So, her pay after x years is
[tex]\Rightarrow P+2890x[/tex]
for the eighth year i.e. [tex]x=7[/tex]
[tex]\Rightarrow P+2890\times 7=27400\\\Rightarrow P=27400-20230=\$7170[/tex]
after x years it is
[tex]\Rightarrow 7170+2890x[/tex]
if you are in school for 178 days for 6 hours and 40 minutes how many hours and minutes would you be in school over all
Answers
Answer:
1139.2 hours
Step-by-step explanation:
6.40 x 178 = 1139.2
71200min
1186.66hrs
Match the equation with the description of the function it represents.
Answers
B. 1
C. 4
D. 2
I’m pretty sure this is it :)
A —> 3
B —> 2
C —> 4
D —> 1
How do you say I am sleepy in spanish?
Answers
Answer:
tengo sueño
Step-by-step explanation:
Answer:
To say I am sleepy in spanish you say: tengo sueño
Step-by-step explanation:
Hope this helped!
Which is a better deal: five tulips for $3.00 or seven tulips for $4.00?
Answers
Answer:
Step-by-step explanation:
7 divided by $4.00 = $1.75/per tulip
5 divided by $3.00 = $1.67/per tulip
Five tulips for 3.00 dollars
Answer:
7 tulips for $4.00
Step-by-step explanation:
you have 5 tulips for 3.00 dollars and 7 tulips for only 4.00 is a better deal because you just add 1 more dollar.
Mouna scored 42 points in 3 games
What is the rate
Answers
14 points per game
STEP BY STEP:
dive the total points (42) by the total amount of games (3) to find the unit rate
hope this helps
Answer:
14 points
Step-by-step explanation:
To Find how many points did he/she score per game
Since rate = per (1)
We have to divide points by games
Since Mouna scored 42 point → Total and Games → 3
We have to divide 42 by 3
42/3 = 14
Hence, Mouna scored 14 points per game
[RevyBreeze]
Which number is in the solution set of this equation? 7x − 9 = 40
Answers
Answer:
x=7
Step-by-step explanation:
Answer:
7
Steps:
7x − 9 = 40
7x = 40 + 9
x = 49/7
x = 7
Your at a sandwich shop, they offer 3 types of breads, 4 types of meats, and 8 types of toppings. How many different combinations are there?
Answers
Answer:
96 combinations
Step-by-step explanation:
when you get a question like this you multiply all the numbers and you get total number of combinations possible
Answer:
36 outcomes
As this a sandwich shop it uses bread for all meats.
3 x 4 x 3 = 36
Because 3 x 4 = 12
As the toppings are only repeated 8x3 = 24 and alongside this we add the shorter combinations to this
Step-by-step explanation:
B1 M1 < B1 M2 < B1 M3 < B1 M4 < B1 M1 T1 < B1 M1 T2 < B1 M1 T3 to B1 M1 T8 etc = 12 combinations step 1
B2 M1 repeat above with B2 to replace B1 above = 12
B3 M1 repeat above with B3 to replace B1 above = 12
As we only multiply whole numbers together if we are looking for an order of sequence such as combinations to a safe number code or how people stand in a queue etc back to middle number. We would get 96
Bread x middle value then outcome x toppings = 36 outcomes
2 people can paint a fence in one hour
How long would it fake 10 people?
Answers
Answer:
12 minutes.
Step-by-step explanation:
2x60=10 times x
2x60 divided by 10= x
12=x or x=12 min
4x−4<8 AND9x+5>23 thank u for your help
Answers
Answer:
x < 3 AND x > 2
Step-by-step explanation:
4x − 4 < 8
4x < 8 + 4
4x < 12
x < 3
9x + 5 > 23
9x > 23 - 5
9x > 18
x > 2
What is an equation of the line that passes through the points (0,5) and (-5,7) Put your answer in fully reduced form
Answers
Answer:
y = 2/5x + 5
Step-by-step explanation:
I assume you want the equation in point slope form? So assuming that, (0, 5) is the y intercept which is b in the equation y=mx+b (b=5). Now you have to find the slope, paper is really handy (I like drawing a graph out to help me sometimes but an easy way to do it is another equation like this...
y2-y1/x2-x1=
7-5/-5-0=
2/5 --> So 2/5 is the slope, and that finishes the equation
Final equation in point slope form: y=2/5x+5
HOPE YOU UNDERSTAND NOW!!!! :)
The equation of the line that passes through the point (0, 5) and (-5, 7) is
y = - 2/5 x + 5
The equation can be represented in the slope intercept form below
y = mx + bwhere
m = slope
b = y- intercept
(0, 5)(-5, 7)
The slope can be found below
m = 7 - 5 / -5 - 0 = 2 / -5 = - 2/5
Therefore, using y = mx + b format
y = -2/5 x + b
let's find b using the coordinate (0, 5)
5 = - 2 /5 (0) + b
b = 5
Finally, the equation is
y = - 2/5 x + 5
read more: https://brainly.com/question/16569095?referrer=searchResults
If Ethan uses 28 fl oz of sparkling water, how much orange juice will he use and what will be the total
amount of punch?
Ethan makes punch by mixing orange juice with
sparkling water. He uses the same ratio of orange
juice to sparkling water each time he makes punch.
The table shows some of the amounts of orange juice
and sparkling water he uses for different amounts of
punch
Use the number pad to enter your answers in the boxes
Ethan will use
fl oz of orange juice, and he will have a total of
fl oz of punch.
Orange Juice (fl oz) 7 21 28 ?
Sparkling Water (fl oz) 4 12 16 28
what is the missing number for the question mark?
Answers
Answer:
pls pls pls help me- I have the same question, it's a quiz that affects my grade immensely! If you get the answer please let me know. Im in 6th grade.
Step-by-step explanation:
Select all the equations that are true:
Answers
Answer:
TrueFalse, correct one -58False, correct one 58TrueTrueFalse, correct one 42TrueFalse, correct one -42(10 x 16)+(10x x p) what is equvalint
Answers
Answer:
1 0 2 + 1 6 0
Step-by-step explanation:
Multiply the numbers
(10*16) +10x xp)
(160) +(10x xp)
Combine exponents
(160) + (10xxp)
160 + 10 [tex]x^{2}[/tex] p
Eliminate redundant parentheses
(160) + (10xxp)
160 + 10 [tex]x^{2}[/tex] p
Rearrange terms
160 + 10 [tex]x^{2}[/tex] p
1 0 2 + 1 6 0
help a girl outtttt please
Answers
PLS HELP WILL GIVE BRAINLIEST
Answers
Answer:
Micah can earn $2,669
I hope this helps
Step-by-step explanation:
When the function is given in vertex form y = a (x - h)2 + k. When the function is given in vertex form y = a (x minus h) squared + k, how is the vertex found? How is the vertex found?
a. (k, h)
b. (x, y)
c. (h, k)
d. (y, x)
PLEASE HURRY!
Answers
Answer:
(x,y)
Step-by-step explanation:
Answer:
b is the answer for your question
Which frequency table matches the histogram shown below?
Answers
find the solution(s) to 2x^2-5x-3=0. check all that apply
Answers
Answer:
-1/2 & 3
Step-by-step explanation:
just took the test
Multiply: (4n + 4)(5n - 8)
Answers
Answer:
5n^2 - 3n - 8
Step-by-step explanation:
4n.5n - 4n.8 + 4.5n - 4.8
= 20n^2 - 32n + 20n - 32
= 20n^2 - 12n - 32
= 4 ( 5n^2 - 3n - 8 )
= 5n^2 - 3n - 8 [ answer ]