If cosθ=3/5, find tanθ
Answer and step-by-step explanation:
cos = adj/hyp (in a right triangle)
cos0 = 3/5
adj = 3
hyp = 5
opp = sqrt( 5^2 - 3^2) = sqrt( 25-9) = sqrt(16) = 4 (Pythogorean theorem)
tan0 = opp/adj = 4/3
Answer:
[tex]\boxed {\boxed {\sf tan( \theta)=4/3}}[/tex]
Step-by-step explanation:
Cosine is equal to adjacent over hypotenuse.
cos(x)=adjacent/hypotenuseWe are given: cosθ=3/5
Therefore, the adjacent is 3 and the hypotenuse is 5.We want to find tanθ. Tangent is equal to opposite over adjacent.
We need to find the other leg of the triangle, which is the "opposite". Use Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
The hypotenuse (c) is 5.
[tex]a^2+b^2=5^2[/tex]
One leg (a) is 3, the other (b) is unknown.
[tex]3^2+b^2=5^2[/tex]
Evaluate all the exponents.
[tex]9+b^2=25[/tex]
Subtract 9 from both sides of the equation.
[tex]9-9+b^2=25-9[/tex]
[tex]b^2=16[/tex]
Take the square root of both sides.
[tex]\sqrt{b^2} =\sqrt{16}[/tex]
[tex]b=4[/tex]
Now we know the "opposite" is 4. We can find the tangent now.
[tex]tan(x)=opposite/adjacent[/tex] (opposite=4, adjacent=3)
[tex]tan( \theta)=4/3[/tex]
The tangent of theta is 4/3
Can anyone answer this simplify question
Answer:
y^3/4x
Step-by-step explanation:
Mrs. Robert’s vegetable garden is 6 feet wide and 8 feet long. A drawing of the garden has a scale of 1 inch 2 feet. What is the area of the garden on the scale drawing? a. 192 in b. 12 in c. 7 in d. 28 in
Answer:
Step-by-step explanation:
It’s 24
Answer:
b.12 inch squared
Step-by-step explanation:
6 feet become 3 inches and 8 feet becomes 4 inches 3×4 = 12
I NEED HELP WITH THIS PICTURE IS PROVIDED
Please help with this as soon as you can. Really need help and no idea how to do it.
Answer:
DE, BC, BA, CA
Step-by-step explanation:
basically just find the ones that do not cross and those are parellel.
Find the value of θ from the following equation.(θ≤90°)
Answer: 10°
__________________________________________________________
We are given:
Sin(6θ) = Cos(3θ)
Solving for θ:
Simplifying Cos(3θ):
We know that:
Cos(θ) = Sin(90-θ)
So, we can say that:
Cos(3θ) = Sin(90 - 3θ)
Finding the value of θ:
Sin(6θ) = Cos(3θ)
Sin(6θ) = Sin(90 - 3θ) [Since Cos(3θ) = Sin(90 - 3θ)]
6θ = 90 - 3θ [If Sin(θ) = Sin(A) ; θ = A]
9θ = 90 [adding 3θ on both sides]
θ = 10° [dividing both sides by 9]
Please help me!!!!!
Answer:
The answer is A.
Step-by-step explanation:
The ratio is 1 second/2 centimeters, but since they're asking for a unit ratio, you need to divide the top and bottom by 2 which gives you a unit ratio of ½ second/1 centimeter.
Answer:
Perhaps, B or A
Step-by-step explanation:
By visual inspection, determine the best-fitting regression model for the data plot below.
Answer:
Quadratic
Step-by-step explanation:
It looks like it’s forming a very wide arch so quadratic formulas are arches
The equation of the regression line model for the data plot determines a quadratic equation
What is linear regression line?The connection between the independent (x) and dependent (y) variables in the graph can be graphically represented using regression lines.
In a linear model, the terms are added rather than multiplied, divided, or provided as a non-algebraic function, as has been the case thus far in this section. Analysis of experimental, monetary, and biological data as well as complex system prediction are both possible using linear modelling.
A statistical technique used to build a linear model is called linear regression. The model explains how one or more independent variables Xi relate to a dependent variable y (also known as the response) (called the predictors). The distance between each data point and the regression line is called a residual.
Given data ,
Let the linear regression line be represented as A
Now , the value of A is
Let the first coordinate on the graph be P ( 1 , 5.5 )
Let the second coordinate on the graph be Q ( 2 , 6 )
And , the data plots on the graph represents a curve or parabolic equation
So , it is a quadratic equation
Hence , the data plot of the regression line is quadratic
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in need help wihe lateral asn and total surface area
Brainliest to RIGHT answer
Answer:
It's C
Step-by-step explanation:
-
18 The diagram shows triangle PQR.
Diagram NOT
accurately drawn
P
17.8 cm
360
R
26.3 cm
Calculate the length of PR.
Give your answer correct to 3 significant figures.
Answer:
The length of PR is 15.8 cm
Step-by-step explanation:
We will solve the question using the cosine rule
In ΔPQR
∵ (PR)² = (PQ)² + (RQ)² - 2(PQ)(RQ)(cos∠Q)
∵ PQ = 17.8 cm
∵ RQ = 26.3 cm
∵ m∠Q = 36°
→ Substitute them in the rule above
∵ (PR)² = (17.8)² + (26.3)² - 2(17.8)(26.3)(cos36)
∴ (PR)² = 316.84 + 691.69 - 936.28(cos36)
∴ (PR)² = 251.0635685
→ Take √ for both sides
∴ PR = 15.8449856
→ Correct it to 3 significant figures
∴ PR = 15.8 cm
∴ The length of PR is 15.8 cm
Use the distributive property to remove the parentheses (x+12)8
Answer:
Using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]
Step-by-step explanation:
We need to used distributive property to solve (x+12)8
The distributive property of multiplication or addition states that: [tex]a(b+c)=ab+ac[/tex]
Using the property:
[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]
So, using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]
EAST MATH PLS HELP ASAP PLEASE PLEASE
If one side of a square is represented by x + 7, and the perimeter of the square is
represented by 8x - 20, what is the value of X?
Cara's new car holds 13.5 gallons of gas. If gas costs $2.98 per gallon, how much would it
cost her to fill the gas tank from empty?
Submit
O
Lenovo
Answer:
$40.23
Step-by-step explanation:
Answer:
40.23
Step-by-step explanation:
easy just do 13.5*2.98
An industrial factory makes / yards of chain every minute. The cost of each yard of chain is $2.00. What is the total cost for all chain produced in 10 minutes?
Answer:
Cost = $86.67
Step-by-step explanation:
Given
Yards = 4⅓ (missing part of the question)
Cost per yard = $2.00
Required
Determine cost of chains produced in 10 minutes
If 4⅓ yards is made in a minute, then
4⅓ * 10 yards are made in 10 minutes
Total = 4⅓ * 10
Total = 13/3 * 10
Total = 130/3 yards
Cost of a yard of chain is $2.00.
Cost of 130/3 yards would be:
Cost = $2.00 * 130/3
Cost = $260.00/3
Cost = $86.67 (approximated)
Hence, the required cost is approximately $86.67
I need help with this question
Answer:
dfjkdhfhdsjfkldsjkljsdk;lv
Step-by-step explanation:
fjwdnjksnvl;snv;s
I am having trouble finding this out will anyone help?
Answer: g = 4
Step-by-step explanation:
30 = 26+g
4 = g
After writing a check mike had -$34.50 in his account, he deposited $20.00 how much did he have now?
Answer:
-$14.50
Step-by-step explanation:
This is easily solved on a calculator.
-34.50 + 20.00 = -14.50
DROP AN ANSWERRRR!!!!!
Answer:
D
Step-by-step explanation:
A professional language translator gets paid an average of $320 per hour with a standard deviation of $41.75 per hour. What proportion of professional language translators get paid less than $250 per hour? Assume the population is normally distributed. Round your answer to four decimal places
Answer:
0.0475 or 4% professional language translators get paid less than $250 per hour
Step-by-step explanation:
Mean = 320
Standard Deviation = 41.75
We need to find proportion of professional language translators get paid less than $250 per hour i.e P(x<250)
First we will find value of z
Using formula: [tex]z=\frac{x-\mu}{\sigma}[/tex]
We have x=250, finding z
[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{250-320}{41.75}\\z=-1.67[/tex]
Now we will find P(z<-1.67) by looking into the normal distribution table
[tex]P(z<-1.67)=0.0475\\[/tex]
So,0.0475 or 4% professional language translators get paid less than $250 per hour
Which equation represents a line that is parallel to the line whose equation is y=-3x?
A) 4x+2y=5
B) 2x+4y=1
C) y=3-4x
D) y=4x-2
Evaluate the expression.
1.2 exponent 2
answer choices =
1.44
14.4
1.728
1.5
Answer:
1.44
Step-by-step explanation:
Answer:
the answer is 1.44
Step-by-step explanation:
Because the exponent of a number says how many times to use the number in a multiplication. In 1.2 exponent 2 the "2" says to use 1.2 twice in a multiplication, so 1.2'2 = 1.2 × 1.2 = 1.44 In words: 1.2'2 could be called "1.2 to the power 2" or "1.2 to the second power.
Your welcome
Find n and r 10 pointsssss
Answer:
r = 11.623cm (aprox)
n = 6.153cm (aprox)
Step-by-step explanation:
Proportions:
9.8 ⇔ 4.3
n ⇔ 2.7
r ⇔ 5.1
n = 9.8*2.7/4.3 = 6.153 (aprox)
r = 9.8*5.1/4.3
r = 11.623 (aprox)
Write and equation in standard form of the line shown.
m=5
b=0
y=5x+0
trust me
How do you know which standardized test statistics you will use? A Z or T?
Answer:
If you're taking the AP Statistics test, you'll need to know the general formula for a standardized test statistic. Standardized test statistics are used in hypothesis testing. The general formula formula is: Standardized test statistic: (statistic-parameter)/(standard deviation of the statistic).
Step-by-step explanation:
Answer:
Standardized test statistics are used in hypothesis testing. The general formula formula is: Standardized test statistic: (statistic-parameter)/(standard deviation of the statistic).
help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help
Answer:
41/200
This is solved and put in standard form
Please help and I’ll mark brainliest if u give a small explanation
Answer:its 60
Step-by-step explanation:
look at g and put the number thats there on g
what is the slope of the following line?
Answer:
-2
Hope this helps,
PumpkinSpice1
The slope of the line will be ( -1 / 2 ). The correct option is C.
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The two points are (0,3) and ( 6,0). The slope of the line will be calculated by using the formula below;-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 0 - 3 ) / ( 6 - 0 )
Slope = -3 / 6 = -1 / 2
Therefore, the slope of the line will be ( -1 / 2 ). The correct option is C.
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What is 56/15 as a decimal rounded to the nearest tenth
Answer:
3.73
Step-by-step explanation:
56/15
3 11/15
3.73
At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the investment changed by a loss of $17.40. What was the value, in dollars, of the investment at the end of the month
Answer:
$36.52
you're welcome :)