Answers
Answer:
[tex]tan(\theta) = \frac{3}{4}[/tex]
Step-by-step explanation:
Remember the trigonometric ratios, keep in mind that the way the side is referred to is based on its position relative to the angle getting referenced. The side next to the referenced angle ([tex]\theta[/tex]) is called the adjacent side, the one opposite the angle is called the opposite side, and the side opposite the right angle of the triangle is called the hypotenuse.
[tex]sin (sine) = \frac{opposite}{hypotenuse}\\\\cos (cosine) = \frac{adjacent}{hypotenuse}\\\\tan(tangent) = \frac{opposite}{adjacent}[/tex]
In this problem, one is asked to find the value of ([tex]\theta[/tex]) with regards to a trigonometric function. One is given the opposite and adjacent sides, it would make the most sense to use the trigonometric function (tangent). Substitute the sides into their respective place, and simplify to find the value of the trigonometric function.
[tex]tan(\theta) =\frac{15}{20}\\\\\\tan(\theta)=\frac{3}{4}[/tex]
Related Questions
PLEASE HELP ALL U HAVE TO DO IS SELECT IF IT IS NEGATIVE OR POSITIVE!
Answers
Answer:
Negative
Step-by-step explanation:
It just is....
Answer:
negative
Step-by-step explanation:
negative something(a) subtract by a positive(b) is still negative
A person invested $3,500 in an account growing at a rate allowing the money to double every 15 years. How long, to the nearest tenth of a year would it take for the value of the account to reach$7,700?
Answers
Answer:
30 years and a half
Step-by-step explanation:
well let's just say 3.5k x hmm 2? at an estimate and that will get us to 7000.. so in order to get to 7000 we have to wait 15 years which is 30 years and a half. From Xthermyx. A brainly user.
It would take 22.7 years for the value of the account to reach $7,700.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Since the money in the account is doubling every 15 years.
The following equation is used to find the time it takes to reach a certain value:
t = (ln(P/F))/(ln(1+r))
where:
P = the initial investment amount
F = the future value we want to reach
r = the growth rate per period
ln = natural logarithm
t = the number of years it takes to reach F
P = $3,500
F = $7,700
r = ln(2)/15 (since the money is doubling every 15 years).
Plugging these values into the equation.
t = (ln(3500/7700)) / (ln(1+ln(2)/15))
t = ln (5/11) / ln (1 + 0.30/15)
t = 22.7
Therefore,
It would take 22.7 years for the value of the account to reach $7,700.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
PLEASE HELP!!! ALL YOU HAVE TO DO IS SELECT IF IT IS POSITIVE OR NEGATIVE!
Answers
Answer:
positive is da answer hope it helps
Answer: That would be Positive (so sorry if its wrong)
Step-by-step explanation:
Can someone give me the correct answer please thanks
Answers
Answer:
4
Step-by-step explanation:
here's your solution
=> perpendicular^2 = hypotenuse^2 - base^2
=> p^2 = 5^2 - 3^2
=> p^2 = 25 - 9
=> p^2 = 16
=> p = √16
=> p = 4
hope it helps
Answer:
4Step-by-step explanation:
Let,
The third side of the triangle be = x
According to Pythagoras Theorem,
[tex] {5}^{2} - {3}^{2} = {x}^{2} [/tex]
[tex] = > {x}^{2} = 25 - 9[/tex]
[tex] = > {x}^{2} = 16[/tex]
[tex] = > x = \sqrt{16} [/tex]
=> x = 4
Hence,
third side of the triangle is 4 (Ans)
I don’t understand question 42,43
Answers
Answer:
42. x = 25
43. LM = 11
Step-by-step explanation:
For 42, the three angles of a triangle, when added, = 180 degrees. We know that one of the angles is 90 degrees...a right angle.
So: 90 + 2x + x + 15 = 180
105 + 3x = 180
3x = 75
x = 25
If they ask for more information: the three angles are 90 degrees, 50 degrees (2x), and 40 (x + 15). 90 + 50 + 40 = 180
For 43, ray PN bisects (cuts in equal halves) the triangle. We know this because the two segments LP and PM are equal. As a result, the triangles LPM and PNM are mirror images. Since MN = 11, LM also = 11.
Please let me know if you have questions.
Suppose you invest $130 a month for 5 years into an account earning 8% compounded monthly. After 5 years, you leave the money, without making additional deposits, in the account for another 25 years. How much will you have in the end?
Answers
Answer:
FV= $70,887.15
Step-by-step explanation:
First, we need to calculate the future value of the $130 deposit for 5 years:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit= $130
i= 0.08/12= 0.0067
n= 5*12= 60 months
FV= {130*[(1.0067^60) - 1]} / 0.0067
FV= $9,561.96
Now, using the following formula, the future value of the investment after 25 years:
FV= PV*(1 + i)^n
n= 25*12= 300
FV= 9,561.96*(1.0067^300)
FV= $70,887.15
-9(14d - 13e) =
*As an expression*
Answers
Answer:
−126d + 117e
Step-by-step explanation:
Give me Brainllest
Answer:
Solution given:-9(14d - 13e) =117e-126d is your answer
Find the length of the missing side
Answers
3x^2-5/3x-1 - 2x^2-3x-2/3x-1
Answers
Answer:
3
x
2
−
16
x
−
6
/3
Step-by-step explanation:
A car starts from rest and attains a velocity of 9km/h in 5 seconds . Calculate acceleration and the displacement covered in that time
Answers
Answer:
Acceleration is 0.5 m/s² and the distance covered is 6.25 m.
Step-by-step explanation:
Given that,
Initial speed, u = 0
Final speed, v = 9 km/h = 2.5 m/s
Time, t = 5 seconds
We need to find the acceleration and the displacement covered in that time. Acceleration = rate of change of velocity
So,
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{2.5-0}{5}\\\\a=0.5\ m/s^2[/tex]
Distance d can be calculated using third equation of motion.
[tex]d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{2.5^2-0^2}{2\times 0.5}\\\\d=6.25\ m[/tex]
So, acceleration is 0.5 m/s² and the distance covered is 6.25 m.
Which of the following shapes is
considered to be a 2 dimensional
figure?
A. A cylinder
B. A cube
C. A pyramid
D. A circle
Answers
Answer:
D, Circle
Step-by-step explanation:
All the other shapes are 3D and have a volume.
brainless will be provided if you answer this question, but please hurry.
Which table shows a set of ordered pairs that appears to lie on the graph of a linear function?
Answers
Answer:
B
Step-by-step explanation:
Answer:
The answer is C. ✋✋✋✋✋
the points m(-10, 3) and p(-4, -8) are graphed on the coordinate plane. to the nearest tenth of a unit what is the distance between points m and p
Answers
Answer:
Distance between points m and p = 12.53 unit (Approx.)
Step-by-step explanation:
Given:
Co-ordinate of points
m(-10, 3)
p(-4, -8)
Find:
Distance between points m and p
Computation:
Distance between two points = √(x1 - x2)² + (y1 - y2)²
Distance between points m and p = √(-10 + 4)² + (3 + 8)²
Distance between points m and p = √(-6)² + (11)²
Distance between points m and p = √36 + 121
Distance between points m and p = √157
Distance between points m and p = 12.53 unit (Approx.)
4.
What is the probability of getting a green or red, potted plant?
Red
Plants
Green
Ground
Potted
Ground
Potted
Ground
Potted
Purple
a. 24
b. 23
c. 13
d. 1/8
Answers
Answer:
b
Step-by-step explanation:
2/3 because if you look there are 3 answeres and only 2 are mentioned also if you take the number of potted to not potted and summed em up you woukd still have 2/3
the length of AB rounded to the nearest tenth is ___ units
Answers
Answer:
7.6
Step-by-step explanation:
√( 4 - -3) ^2 + ( -1 - 2) ^2
√(49 + 9)
√58
= 7.6
due soon!! please help
Answers
Answer:
The area of the backyard is 18 cm
Answer:
39m²
Step-by-step explanation:
Area: Multiply the area and then add the remainder.
A cereal company is putting 1 of 4 prizes in each box of cereal. The prizes are evenly distributed so the
probability of winning any given prize is always 1/4.
Lily wonders how many boxes she should expect to buy to get all 4 prizes. She carried out 20 trials of a
simulation and her results are shown below. Each dot represents how many boxes it took to get all 4 prizes in
that trial.
4
5
6
7
8
9
10 11 12 13 14 15
# of boxes purchased
Use her results to estimate the probability that it takes fewer than 7 boxes to get all 4 prizes.
Give your answer as either a fraction or a decimal.
P(fewer than 7 boxes) -
Answers
Answer:
[tex]P(x < 7) = 0.383[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
Determine the probability that few than 7 boxes will be needed.
This is represented as:
[tex]P(x < 7)[/tex]
And the solution is:
[tex]P(x < 7) = P(x = 4) + P(x = 5) + P(x = 6)[/tex]
Each probability is calculated by dividing the number of dots by the total dots.
So, we have:
[tex]P(x < 7) = \frac{n(x = 4) + n(x = 5) + n(x = 6)}{Total}[/tex]
From the attached, the formula becomes:
[tex]P(x < 7) = \frac{4 + 6 + 3}{4+6+3+4+4+6+3+2+1+2+0+1}[/tex]
[tex]P(x < 7) = \frac{13}{36}[/tex]
[tex]P(x < 7) = 0.361[/tex]
find the interest on $6,000 at 5% for one year
Answers
Answer:
300$
I=P×r×t
P= is the principal amount, $6000.00.
r=is the interest rate, 5% per year (you have to put it in decimal form to multiply)
t= is the time involved, which is 1 year
To find interest multiply 6000 × 0.05 × 1
Kirito's Clothing Store buys coats for $80 and sells them for $140.
What is the percent markup on the price of the coats?
Answers
Answer:
75%
Step-by-step explanation:
80 x 0.75 = 60
80 + 60 = 140
A rock weighs 80 g on a triple beam scale. The same rock is then gently placed inside a graduated cylinder containing 30 mL of water. If the water level in the graduated cylinder rises to 75 mL. What is the density of the rock
Answers
Answer:
1.78 g/cm³Step-by-step explanation:
80 g rock displaces water:
75 ml - 30 ml = 45 ml = 45 cm³Density = mass / volume:
d = 80 g / 45 cm³d = 1.78 g/cm³ (rounded)In which quadrant said is each point located.
Answers
Answer:
Quadrent II
Step-by-step explanation:
It is like a elevator. You have to walk to the elevator to go before you can go up. So you go to the negative area first and then climb up because 8 is positive, and that would land you in Quadrent II
Jenna bought some rope for a project. The rope cost $3.50 per meter. She bought 432 centimeters of ropehow much did jenn pay for the rope
Answers
Answer:
1 meter= 100 cm
432cm/100=4.32 cm
$3.50*4.32=$15.12
the total cost is: $15.12
Step-by-step explanation:
Answer:
15.12
Step-by-step explanation:
Segment AB has endpoints A(-2, 8) and B(4,0). The segment is dilated about the origin by a scale factor of 0.5 to create segment AB
What are the endpoints of segment AB?
select both endpoints
(-2,8)
(-1,4)
(0,0)
(1,4)
(2,0)
(4,0)
[please help, i would appreciate it alot]
Answers
Answer:
Step-by-step explanation:
(-1,4) (1,4) 2,0
The endpoint of the line segment will be (-1, 4) and (2, 0). Then the correct options are B and E.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
Section Stomach muscle has endpoints A(- 2, 8) and B(4,0). The section is widened at the beginning by a scale variable of 0.5 to make a fragment of the Stomach muscle.
The endpoint of the line segment is given as,
A = 0.5(-2, 8)
A = (-1, 4)
B = 0.5(4, 0)
B = (2, 0)
The endpoint of the line fragment will be (- 1, 4) and (2, 0). Then the right choices are B and E.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ2
Someone please help and show work!! I will also mark brainliest. I’ll appreciate it.
Answers
Answer:
1. 53
2. 20
3. 37
4. 29
Step-by-step explanation:
Since your trying to find the hypotenuse you equation is...
1. 28^2 + 45^2 = C^2
784 + 2025 = C^2
Square Root 2809= C^2
C=53
So after you square root 2809 you get 53.
2. 12^2 + 16^2 = C^2
144 + 256 = C^2
Square Root 400 = C^2
C=20
So after you square root 400 you get 40.
3. 12^2 + 35^2 = C^2
144 + 1225 = C^2
Square Root 1369 = C^2
C=37
So after you square root 1359 you get 37.
4. 20^2 + 21^2 = C^2
400 + 441 = C^2
Square root 841 = C^2
C=20
So after you square root 841 you get 29.
Which function is the inverse of f(x) = 2x + 3
o f(x) = - 1 / 2 x - 3/2
o f(x) = 1/2 x -3/2
o f(x) = -2x+3
O f(x)=-2x+3
Answers
Answer:
[tex] \frac{ - 1}{2}x - \frac{ - 3}{2} [/tex]
Step-by-step explanation:
I think so
Little help with my homework please...
Answers
Answer:
Part C
Step-by-step explanation:
Answer:
hey hi will you join zo om
A system of linear equations is shown below.
y= 2x + 1
y = - 1/4x + 3
Which equation can be used to determine the value of x for the solution?
Answers
Answer:
Step-by-step explanation:
hello :
2x+1 = -1/4 x+3....same y
Which One Doesn't Belong?
Choose the shape that does NOT belong with the
others.
Explain your thinking .
Answers
Garth is giving 10 of the action figures from his collection to his brother. If a represents the number of action figures Garth has, which expression shows how many actions figures Garth will have left?
Answers
have a great dayyy!!! :)
Add the following rational numbers: 5/8 and 3/-10
Answers
Answer:
= 13/40
Step-by-step explanation:
(5/8) + (3/-10)
5/8 = 50/80
3/-10 = -24/80
then:
(5/8) + (3/-10) = 50/80 - 24/80
= 26/80 = 13/40
Answer:
13/40
Step-by-step explanation: