How do you do this???
Given tan Ф = 4/5, find all other trig functions.
let : y = Opponent side, x= Adjecent side
and r= hypotenuse
tan = 4/5
y/x = 4/5 => y =4, x=5
so, r = √4²+5²=√16+25=√41
sin = y/r = 4/ √41
cos = x/r = 5/√41
tan = y/x = 4/5
csc = r/y = √41 /4
sec = r/x = √41 /5
cot = x/y = 5/4
What is the solution to this system of equations?
3x-2y=5
x+2y=7
x=_, y=_
Step 1) Solve the second equation for
x
:
x
+
3
y
=
−
5
x
+
3
y
−
3
y
=
−
5
−
3
y
x
+
0
=
−
5
−
3
y
x
=
−
5
−
3
y
Step 2) Substitute
−
5
−
3
y
for
x
in the first equation and solve for
y
:
3
(
−
5
−
3
y
)
−
2
y
=
7
−
15
−
9
y
−
2
y
=
7
−
15
−
11
y
=
7
15
−
15
−
11
y
=
15
+
7
0
−
11
y
=
22
−
11
y
=
22
−
11
y
−
11
=
22
−
11
−
11
y
−
11
=
−
2
y
=
−
2
Step 3) Substitute
−
2
for
y
in the solution to the second equation at the end of Step 1 and calculate x:
x=−5−(3×−2)
x=−5−(−6)
x=−5+6
x=1
The solution is x=1 and y=−2
Answer:
Step-by-step explanation:
In a geometric sequence, g(3) = 1 and g(8) = 32. Which recursive definition produces this geometric sequence?
Step-by-step explanation:
a geometric sequence means every new element is created by multiplying the previous element always with the same number.
a n = a n-1 * number
a n = a1 * number^(n-1)
=> a8 (or g(8)) / a3 (or g(3)) = number^5 (5=8-3)
=> 32/1 = number^5
=>
[tex]number = \sqrt[5]{32} [/tex]
number = 2
and what is the starting a1 ?
it must satisfy e.g. a3
1 = a1 * 2^2
=> a1 = 1/4
therefore, the requested definition looks like
g(1) = 1/4
g(n) = g(n-1) * 2
Convert the degree measure into radians.
330°
A 11pi/6
B 11pi/3
C 6pi/7
D 4pi/3
Answer: A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
we have 2pi = 360°
=> 2pi× 330/360 = 360° × 330/360
=> 11pi/6 = 330°.
Please keep asking if you still have trouble understanding
please help to solve this
Answer:
☥ [tex] \underline{ \underline{ \red{\large{\tt{S \: O \: L \: U \: T \: I \: O \: N}}}}} : [/tex]
Let Cost Price ( CP ) be x☃ [tex] \large{ \tt{MP = x + 30\% \: of \: x}}[/tex]
➝ [tex] \large{ \tt{x + \frac{30}{100}x }}[/tex]
➝ [tex] \large{ \tt{x + 0.3x }}[/tex]
➝ [tex] \large{ \tt{1.3x}}[/tex]
☂ [tex] \large{ \tt{SP = 1.3x - 15\% \: of \: 1.3x}}[/tex]
⇾ [tex] \large{ \tt{1.3x - \frac{15}{100} \times 1.3x}}[/tex]
⇾ [tex] \large{ \tt{1.3x - 0.195x}}[/tex]
⇾ [tex] \large{ \tt{1.105x}}[/tex]
☼ [tex] \large{ \tt{Profit = SP - CP}}[/tex]
⟶ [tex] \large{ \tt{1.105x - x}}[/tex]
⟶ [tex] \large{ \tt{0.105x}}[/tex]
♨ [tex] \large{ \tt{P\% = \frac{Profit}{CP} \times 100 \%}}[/tex]
⤑ [tex] \large{ \tt{ \frac{0.105x}{x} \times 100\%}}[/tex]
⤑ [tex] \boxed{ \large{ \purple{\tt{10.5\%}}}}[/tex]
Hence , Profit % = 10.5 %
♕ Hope I helped ! ♡
☄ Have a wonderful day / night ! ♫
✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Solve the following expression when
x = 7 and y = 2
(y + 2) · (x + 4 – 5)
Answer:
24
Step-by-step explanation:
4 x 6 = 24
Jeanie sells M&Ms out of her giant bag at 4 for 5 cents. The machine at the store sells you 9 for 25 cents. which is the better deal for you?
Answer:
drip
Step-by-step explanation:
A come has a slant height of 15 centimeters and a height of 12 centimeters. What is the radius
Answer:
The radius is 9cm.
Step-by-step explanation:
225 cm - 144 cm = 81 cm
√81 cm = 9 cm
Volume of a hexagonal prism with a base side length of 2 inches and a height of 8 inches, the prism is regular. Also it would be a big help if you could calculate the lateral area and the total area. Thanks so much
Answer:
V≈83.14
AL=96
Surface A≈116.78
Base A≈10.39
Step-by-step explanation:
Step-by-step explanation:
base area of hexagonal prism =
6× ½×(2)(2)× sin 60° (regular prism)
= 12×½√3 = 6√3 sq. inches
Volume = base are x height
= 6√3 x 8 = 48√3 cu. inches
or 83.14 cu. inches
the lateral area = 6 × (2×8) = 96 sq. inches
total area = 2×(6√3) + 96
= (12√3 + 96) sq. inches
or 116.78 sq. inches
Please help me with this
Answer:
(3x6) / 6 is the correct answer
Answer:
(3. 6)/618/63Thus 3 is the answer to the question
El ser vivo mas pequeño es un virus que pesa de orden de 10-8 grs, y el mas grande es la ballena azul que pesa aproximadamente 138 Tns. ¿Cuantos virus seràn necesarios para conseguir el peso de la ballena ?
Answer:
ifabmhxm Myers stentxehbetzegxnbwzryo3
Which linear inequality is represented by the graph?
2
1
5 4 3 2 1
o ya x-4
oys x-4
ys-x+4
oyz x+4
3
-2-
3
Save and Exit
Next
Submit
The required equation will be y ≤ 1/3 x - 4
The standard form of a linear equation is y = mx + b
m is the slope of the lineb is the y-interceptUsing the coordinate points (0, -4) and (3, -3)
m = -3+4/3-0
m = 1/3
Since the line cross the y-axis at y = -4, henc b = -4
Get the required equation;
y = mx + b
y = 1/3x - 4
Since the line is solid and shaded below, hence the required equation will be y ≤ 1/3 x - 4
Learn more inequality here: https://brainly.com/question/11613554
I don’t understand it please help
Answer:
Simple! Just plug in each x value into the equation above. Or, you could just plug the equation into a graphing calculator and find the point from there.
Step-by-step explanation:
f(3) = 16
f(4) = 21
f(5) = 26
f(8) = 41
Please do mark as brainliest. Hope this helps! :)
2x^2-2x-4=0 solve for x
I don’t know which one is correct.
A) a=80
b=100
B) a=60
b=120
C) a=70
b=110
D) a=72
b= 108
Please help thank you
Answer:
Your right the answer is B a=60 , b=120
A ratio of 1:2 just means one value is twice that of the other.
Answer:
B (a=60, b=120)
Step-by-step explanation:
1. m∠AOB = 180°
2. Since the ratio of a to b is 1:2, set the measure of a as x, and the measure of b as 2x.
3. a+b = 180, so x+2x = 180, 3x = 180, x = 60
4. x = a, so if x=60, then a = 60
5. if b=2x, then b = 2a, which is 2*60 = 120
Hope this helps
What inequality does the number line graph
represent?
Answer:
-4
-4 and so on
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
Slope= -10/3, y- intercept=5
Answer:
y = -10/3x + 5
Step-by-step explanation:
Hi there!
We are given that a line has a slope of -10/3, and a y intercept of 5
We want to write the equation of this same line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
As we are already given the slope and y intercept, we can simply substitute these values into the format for slope-intercept form to find the equation of the line!
Starting with the slope, substitute -10/3 as m in y=mx+b
y = -10/3x + b
Now for the y intercept, substitute 5 as b in the equation
y = -10/3x + 5
Hope this helps!
See more on this topic here: https://brainly.com/question/17788099
Multiply (2.3 x 10^-5) (3.1 x 10^12
Answer:
71300000
Step-by-step explanation:
See the image below:)
 Please answer correctly !!!!Will mark Brianliest !!!!!!!!!!!!!!
Answer:
Hello! Your answer would be, C)
Step-by-step explanation:
Hope I helped! Ask me anything if you have more questions! Have a nice mourning! Brainiest plz! Hope you make an 100%! -Amelia♥
20 points help me plzzzzzzzzzzzzzzzzzzzz
Answer:
D. 4, B. 4, C. 8
Step-by-step explanation:
The data are centered around 4; the plot is pretty evenly spread out around the center, 4 miles. (The actual average is 3.88.)
The most number of miles run (look for tallest column of dots) is 4.
The number of people who ran is 8 (count the dots above the 5-mile label).
Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.
25, 29, 58, 27, 23, 26, 27, 25, 28, 24
Answer:
58
Step-by-step explanation:
It is going to be 58 because that is the more "random" number. It is does not fit with the rest of your numbers.
Answer:
the outlier is 58. it skews the data
Step-by-step explanation:
What is the dontain of the function graphed below?
I’ll give brainliest to the real answer
Answer:
the third one.........
[-2,0] and (7,oo)
It is the only one that matches
HOPE This helps!
p and q are both prime numbers.
They are each less than 22
Give an example where p+q is odd but not prime.
You must only write the two numbers in the answer box.
0
Answer:
p = 2
q = 7
..................
The two numbers are,
⇒ p = 13 and q = 2
What are Prime numbers?
Prime number is a whole number greater than 1 whose only factors are 1 and itself.
Here, p and q are both prime numbers and each less than 22.
Now, Both number p and q are prime numbers.
Let p = 13 and q = 2
Clearly, The number 13 and 2 both are prime numbers and less than 22.
Hence, p + q = 13 + 2 = 15
Since, 15 is an odd number but not prime.
So, The two numbers are,
p = 13 and q = 2
Learn more about the prime numbers visit:
https://brainly.com/question/145452
#SPJ2
1. In each case, which average do you think is most useful: the mean, median, or mode?
Justify your answer.
Answer:
depends on the cases. they all have different uses
The profit P, in millions, of Company A is given by the equation P=7.5x +17, where x is the number of years in business. The profit P, in millions, of Company B is given by the equation P=4.1x +12. Write a polynomial equation to give the "difference" in profit D after x years.
Answer:
The polynomial equation to give the difference in profit D after x years is:
D = 3.4x + 5Step-by-step explanation:
To obtain the difference in profit between the Companies A and B you can subtract the equation of company B to the equation of company A:
Profit Company A = 7.5x +17Profit Company B = 4.1x +12Difference between profits (D) = 7.5x +17 - (4.1x + 12)And we operate:
D = 7.5x + 17 - 4.1x - 12D = 7.5x - 4.1x + 17 - 12D = 3.4x + 5We can prove the obtained equation selecting a number of years to operate the profit equations, for example, we're gonna suppose the number of years is 3 (x = 3), we replace the formulas of profits:
Profit Company A = 7.5x +17Profit Company A = 7.5 * (3) +17Profit Company A = 22.5 +17Profit Company A = 39.5 millionsProfit Company B = 4.1x + 12Profit Company B = 4.1 * (3) + 12Profit Company B = 12.3 +12Profit Company B = 24.3 millionsNow, we subtract the two values:
Difference between profits = 39.5 millions - 24.3 millionsDifference between profits = 15.2 millions.At last, using our equation with the same number of years, the calculation must give us the same value (15.2 millions):
D = 3.4x + 5D = 3.4 (3) + 5D = 10.2 + 5D = 15.2As you can see, the polynomial equation D = 3.4x + 5 is the correct to identify the difference in profit between the Companies A and B.
Answer:
D=0.5x+2
$7000000
Step-by-step explanation:
pls help
The distance from the Earth to the Sun is approximately 93,000,000 miles. What is this distance expressed in scientific notation? Answer options with 5 options A. 9.3 times 10 Superscript 6 Baseline miles B. 9.3 times 10 Superscript 7 Baseline miles C. 9.3 times 10 Superscript 8 Baseline miles D. 93 times 10 Superscript 6 Baseline miles E. 93 times 10 Superscript 7 Baseline miles
Answer:
B. 9.3 x 10^7
Step-by-step explanation:
9.<3<0<0<0<0<0<0.
Move the decimal point until there is only one whole number left.
Item 2
Mia has $7 worth of quarters.
How many quarters does Mia have?
4 quarters
7 quarters
14 quarters
28 quarters
what is the value of 8 in 293,581
Angle rides her bicycle 2/3 mile to school on Friday she took a shortcut so that the ride to school was 1/9 mile shorter how was angle bicycle ride on Friday
Answer:
5/9 miles
Step-by-step explanation:
The mass, m, of a lorry is 9.23 tonnes rounded to 2 decimal places.
Write the error interval for m
Answer:
9.225 < x [tex]\leq[/tex] 9.235
Step-by-step explanation: