Answer:
[tex]\displaystyle \sin(\theta)= \frac{\sqrt{17}}{17}[/tex]
[tex]\displaystyle \cos(\theta)= \frac{4 \sqrt {17} }{ 17 }[/tex]
Step-by-step explanation:
We want to find sin(θ) and cos(θ) given that tan(θ) = 1/4 and sin(θ) > 0.
First, since tan(θ) and sin(θ) are both positive, cos(θ) must be positive as well.
Recall that tangent is the ratio of the opposite side to the adjacent side.
Therefore, the hypotenuse is:
[tex]h=\sqrt{4^2+1^2}=\sqrt{16+1}=\sqrt{17}[/tex]
So, with respect to θ, the opposite side is 1, the adjacent is 4, and the hypotenuse is √17.
Then it follows that:
[tex]\displaystyle \sin(\theta)=\frac{1}{\sqrt{17}} = \frac{\sqrt{17}}{17}[/tex]
And that:
[tex]\displaystyle \cos(\theta)= \frac{4}{\sqrt{17}} = \frac{4 \sqrt {17} }{ 17 }[/tex]
is 4.92 repeating irrational or rational ?
Answer:
Irrational, since it doesn't have a definite value. (It's not like 3.75 or 5)
Hope that helps!
Step-by-step explanation:
HELP FAST FAST FAST PLS ILL LOVE YOU FOREVER <3
Mr. Lewis showed his friend part of the prime factorization of 70. Fill in the missing factor.
2 x _ x 7
Answer:
5
Step-by-step explanation:
2x5x7=70
Pleasee help!! “It costs $2.75 to buy 3/4 lb of grapes. How much would it cost to purchase 9.5 lbs of grapes? Explain or show your reasoning.”
Answer:
$34.83
Step-by-step explanation:
First convert 3/4 to decimal form: 3/4 = 0.75
Create a proportion using similar rates:
$2.75 / 0.75 lb = x / 9.5 lb
where "x" represents the price of the 9.5 lbs of grapes we need to find.
Solve for x by multiplying both sides by 9.5 lb to isolate x completely
2.75 * 9.5 / 0.75 = x
Therefore x = $34.83
What kind of growth model (pattern) is shown in the table?
X
1
2
3
4.
5
у
5
25
125
625
3,125
square root
linear
expggential
quadratic
Answer:
Step-by-step explanation:
exponential
At a store, a hat has a regular price of x dollars. During sale, the price of the hat
is discounted by 20%. The expression 0.8x describes the discounted price, in dollars,
of the hat. Which expression also describes the discounted price, in dollars, of the hat?
Answer:
x - 0.2x
Since the price of the hat is labelled = x,
The percentage discount on the hat price = 20%,
Thus, the discount = 20% of the price marked
= Twenty percent of x
=0.2 x =0.2 x
Therefore, the hat's new price = Marked price - Discount
= x- 0.2 = x
Answer:
D) x - 0.2x
Step-by-step explanation:
The hat has a regular price of x dollars.
This price is reduced by 20% so the relevant expression for the discount is; 20% * x or; 0.2x
The discounted price will be the price of the hat less the discount which means the formula will be;
= Price - discount
= x - 0.2x
find x (geometry) plz help
Step-by-step explanation:
[tex] \frac{ \sin(x) }{12} = \frac{ \sin(75) }{22} \\ \sin(x) = \frac{12 \sin(75) }{22} \\ \sin(x) = 0.5268 \\ x = 31.79 = 31.8[/tex]
Jacob and Jackson are having a fishing competition.
Each boy adds the lengths of all the fish he catches,
and the winner is the one with the greatest total length of fish.
The following shows the lengths of the fish each boy caught.
Jacob: 512in., 818in.,678in.,1234in.
Jackson: 634in., 578in., 718in., 634in., 514in.
Who won the competition and by how much?
Answer:
a
Step-by-step explanation:
because Jackson has the most numbers so it would make more sense for it to be a tell me if I'm right or wrong
Mark ran 875 miles in the track club this year . Mark ran in 52 track meets and ran the same number of miles in each . how many miles did Mark run in each track meet write answer in a mixed number
Answer:
16[tex]\frac{43}{52}[/tex]
Step-by-step explanation:
875/52 = 16[tex]\frac{43}{52}[/tex]
One estimate for the ideal body weight of a woman is shown below.
59kg+2.6kg for each inch over 5 feet.
A) Find the linear model For an estimate of the ideal weight of a woman using W for ideal body weight (in kilograms) and H for the height over 5 feet (in inches)
this is tough, if you explain the question better I can help!
Answer:
Step-by-step explanation:
Add and
subtract fraction. X+5=23
You are in charge of renting SUVs and vans for your family reunion, and you want to minimize costs. You know that at most 40 children are attending and that at least 36 adults are attending. Each SUV accommodates 4 children and 3 adults, and costs $85 to rent. Each van accommodates 4 children and 4 adults, and costs $95 to rent. A. Set up the linear programming problem by writing the objective function as well as the system of constraints. B. How many SUVs and vans should be rented to minimize cost
Answer:
4 SUV, 6 vans
Step-by-step explanation:
Let x represent the number of SUV rented, and let y represent the number of vans to be rented.
Each SUV accommodates 4 children while Each van accommodates 4 children. Since there are at most 40 children who are attending, hence:
4x + 4y ≤ 40 (1)
Also, Each SUV accommodates 3 adults while Each van accommodates 4 adults. Since there are at most 36 adults who are attending, hence:
3x + 4y ≥ 36 (2)
The system constraints are:
4x + 4y ≤ 40 (1)
3x + 4y ≥ 36 (2)
x, y ≥ 0
b) The SUV cost $85 to rent and the van cost $95 to rent. Therefore the cost equation is:
Cost = 85x + 95y
From the graph, the solution to the constraints are (0, 10) and (4, 6).
At (0, 10); Cost = 85(0) + 95(10) = $950
At (4, 6); Cost = 85(4) + 95(6) = $910
Therefore the minimum cost is at (4,6). That is only 4 SUV and 6 vans should be rented
Can y’all help me on question 8?!
Answer: Car rental A and B
Step-by-step explanation:
Answer:
B. Car rental Company B
D. Car rental Company A
Step-by-step explanation:
Car rental Company A: $16.50 a day
Car rental Company B: $16.6667 a day
I hope this helps
Pls help I’ll brainlest ASAP
Answer:
g = 34
Step-by-step explanation:
If f(x) = 3x - 7, find f(-1)
A square has a perimeter of 56 m. What is the length of each side?
The length of each side of the square is when the perimeter of 56 m.
The square is a four sided figure with all sides are equal in length .
The measure of all the angles of square is [tex]90^o[/tex].
Given:
The perimeter of the square = 56 m
Let, the side of square be s m.
The side of the square can be calculated using the formula:
Perimeter of square = 4 [tex]\times\\[/tex] s
56 = 4 [tex]\times[/tex] s
The value of s can be obtained by dividing both sides by 4
[tex]\dfrac{56}{4}[/tex] = s
s = 14
Thus, the length of each side is 14 m
Learn more about square here:
https://brainly.com/question/2296486
#SPJ4
-You got this!
4.) Which equations are equal to 1/2(4 + 8x) = 17 ? Select All that apply. *
2 points
2 + 4x = 8.5
4 + 8x = 34
4x = 15
2 = 17 - 8x
5.) Solve the equation -4(1.75 + x) = 18. SHOW YOUR WORK. *
2 points
no se que decir pero usted sabe ispañol
please help PLEASE HELP!!!!!!!!!!!!!!!
Step-by-step explanation:
you have to have some number for someone to solve it
An engineer makes a model of a bridge using a scale of 0.5 cm = 3 feet. The length of the actual bridge is 123 feet. What is the length of the model?
Answer:
20.5 cm
Step-by-step explanation:
Set up a proportion where x is the length of the model in cm:
[tex]\frac{0.5}{3}[/tex] = [tex]\frac{x}{123}[/tex]
Cross multiply and solve for x:
3x = 61.5
x = 20.5
So, the model's length is 20.5 cm
How do you write 35 feet above sea level? A) -35 B) +35 C)/35 D) 35%
Answer:
b
Step-by-step explanation:
Find the value of x.
b
(23x+1)
52°
3
Answer:
Step-by-step explanation:
Adjacent angles when a line crosses another line must have a sum of 180 degrees.
52+2^(3x+1)=180
2^(3x+1)=128, 128=2^7 so
2^(3x+1)=2^7 which means
3x+1=7
3x=6
x=2
Find the area of this polygon
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. ... The formula for the area of a regular octagon is 4.828 s², where s is the length of any side.
Answer:
iahaksgsknslsnsknsjsmzjsjsjsksksns
(-3x10^3) x (4x10^6)
Answer:
not sure but i got -12000000000 in the calculator
Step-by-step explanation:
−12x1001001 if you are simplifying
5.
(x + 10°)
(x + 20°)
solve each proportion algebraically. show you work. 9/15=m/25
Answer:
m=15
Step-by-step explanation:
15 x 5 = 75 = 25 x 3
9 x 5=45 so 45/75 = 3m/75
45/3=15
m=15
f(x) = 2x^2 +4/ x^2 +5x+6 find vertical and horizontal asymptotes (show work) 100 points please help):
Answer:
tkdykxkgxgjztkxykxukx
Step-by-step explanation:
xgmxykxtkzmtzylcl
The formula to determine energy is E = 1/2 mv2. What is the formula solved for v?
the velocity ????????????
0.45m-9=0.9m
Subtract 0.45m from both sides
Answer:
Step-by-step explanation:
If you're trying to isolate the variable the first thing you would want to do is actually add 9 to both sides.
Answer:
-9 = 0.45m
Step-by-step explanation:
0.45m - 9 -0.45m= 0.9m - 0.45m
Determine if the sequence is Arithmetic or Geometric:
16, 8, 4, ?
Answer:
It is geometry
Step-by-step explanation:
Solve y2 = 64, where y is a real number.
Simplify your answer as much as possible.
Answer:
See step by step
Step-by-step explanation:
If you are referring to
[tex]y {}^{2} = 64[/tex]
Then the answer is 8 or -8,
If you are referring to
[tex]y \times 2 = 64[/tex]
Then answer is 32 or -32 it depends on which one you are referring to.
Un objeto es lanzado verticalmente hacia arriba con una rapidez de 34 m/s
A. ¿que rapidez tendrá cuando le faltan 12 m para alcanzar la altura máxima?
B. ¿qué tiempo tarda en alcanzarla?
Answer:
a
Step-by-step explanation:
aa