Triangle xyz has sidesxy equals 3 yz equals 4 and xz equals 5.if angle y is a right angle and yz is opposite angle x what is the tan of angle x
Answers
The tangent of an angle in a right triangle, is the ratio of the opposite side, to the adjacent side of that angle.
That is tanx=|ZY|/|YX|=4/3=1.333
Answer: 4/3=1.333
Related Questions
What is the answer to this question?
Answers
9/12= 0.75
8.00 * 0.75 = 6.00
the 9" costs $6.00
William invested $6000 in an account that earns 5.5% interest, compounded annually. The formula for compound interest is A(t) = P(1 + i)t.
How much did William have in the account after 6 years? (APEX)
Answers
Answer:
William have $8273.057 in the account after 6 years.
Step-by-step explanation:
The given formula is [tex]A(t)=P(1+i)^t[/tex]
We have,
P = $6000
r = 5.5% = 0.055
t = 6
A =?
Substituting these values in the above formula to find A
[tex]A(t)=6000(1+0.055)^6\\\\A(t)=8273.057[/tex]
Therefore, William have $8273.057 in the account after 6 years.
A potter use 4/5 of a pound of clay to make a bowl.How many bowls can the potter make from 12 pounds.
Answers
12/1 / 4/5=
12/1 * 5/4 =
60/4 = 15
they can make 15 bowls
A chemist has three different acid solutions. The first acid solution contains
25%
acid, the second contains
40%
and the third contains
60%
. He wants to use all three solutions to obtain a mixture of
60
liters containing
45%
acid, using
3
times as much of the
60%
solution as the
40%
solution. How many liters of each solution should be used?
Answers
We are told s=3f. The general equation is:
100(0.25t+0.4f+0.6s)/(t+s+f)=45, and using s=3f we have:
(0.25t+0.4f+1.8f)/(t+4f)=0.45
(0.25t+2.2f)/(t+4f)=0.45
0.25t+2.2f=0.45t+1.8f
0.25t+0.4f=0.45t
0.4f=0.2t
t=2f, remembering that s=3f, will allow us to solve for f
t+s+f=60, using t and s from above
2f+3f+f=60
6f=60
f=10 L then
s=3f=30 L and t=2f=20L
So 20L of 25%, 10L of 40%, and 30L of 60% acid solutions need to be mixed to make 60L of 45% acid solution.
Write an algebraic equation for the following problem and then solve it.
The population of a country in 2015 was estimated to be 321.6321.6 million people. This was an increase of 22% from the population in 1990. What was the population of the country in 1990?
Answers
well, in 2015, 25 years later, it ballooned to 321,6321.6, and we know that's 22% or 22/100 ( 0.22 ), more than 25 years ago.
if the amount on 1990 was "x", then 22% of "x" is just (22/100) * x, which is 0.22x.
so, whatever "x" may be, the sum of those two is 321,6321.6, thus
[tex]\bf 321,6321.6 = x + 0.22x\implies 321,6321.6 = 1.22x\\\\\\ \cfrac{321,6321.6}{1.22}=x[/tex]
Let f(x) = -20x2 + 14x + 12 and g(x) =5x-6 Find f/g and state its domain a. 5x - 6; all real numbers except x =6/5 b. 5x - 6; all real numbers c. –4x – 2; all real numbers except x =6/5 d. –4x – 2; all real numbers
Answers
Final answer:
To find f/g, divide each term in f(x) by g(x). Resulting in f(x)/g(x) = -4x - 2 with the domain being all real numbers except x = 6/5. Hence, the correct answer is c. -4x - 2; all real numbers except x = 6/5.
Explanation:
To find the function f/g, we divide the function f(x) by g(x). Given f(x) = -20x2 + 14x + 12 and g(x) = 5x - 6, we divide these to get:
f(x)/g(x) = (-20x2 + 14x + 12) / (5x - 6)
Dividing each term in f(x) by g(x):
f(x)/g(x) = -4x - 2
The domain of this function would be all real numbers except where g(x) = 0, since we cannot divide by zero. g(x) = 0 when x = 6/5. Thus, the domain is all real numbers except x = 6/5.
The correct answer to the student's question is therefore c. -4x - 2; all real numbers except x = 6/5.
Is this statemate true or false?
All parallelograms are special kinds of squares.
Answers
By definition, all squares must have four right angles. Not all parallelograms meet this requirement,
Will someone please answer this??
Answers
Zooey predicts the movie will be 90 minutes long. If the movie actually is 102 minutes long, what is Zooey's percent error? Round your answer to the nearest tenth of a percent.
Answers
12 / 102 = 0.1176 = 11.76 rounds to 11.8% <==
%error=100(90-102)/102
%error≈ -11.8%
Now the negative sign indicates that she underestimated the length of he movie by 11.8%, but technically the percent error is an absolute value so it is just 11.8% error.
Please, show me how to solve this. Find the limit as x approaches −8 for the function f(x)=5x+12.
Answers
A local carpet company has been hired to carpet a planetarium which is in the shape of a circle. If the radius of the planetarium is six yards, and the cost of the carpet is $14 per square yard, find the total cost to carpet the planetarium.
Answers
cost=[area of the carpet]*[price per yard]
area of the carpet will be given by:
area=πr^2
=π*6^2
=113.1 square yards
thus the cost of the carpet will be:
113.1*14
=$1,583.4
A carpenter is framing a window with wood trim where the length of the window is 9 1/3 feet. If the width of the window is 6 3/4 feet, how many feet of the wood is needed to frame the window?
Answers
So you are asked to find the perimeter of the window, ignoring the width of the trim.
P = Perimeter = 2L + 2W.
Here, P= 2(9 1/3 feet) + 2(6 3/4 feet) = 2(28/3 feet) + 2(27/4 feet)
So P = 2[28/3 + 27/4] feet. LCD is 3*4 = 12.
Thus, P = 2 [ 28/3 + 27/4 ] feet. Can you finish? Add together the fractions 28/3 and 27/4.
Triangle XYZ is reflected across the line x = 3. What is the reflection image of X?
Answers
Draw the line x= 3 and treat it like a mirror.
When you reflect the points of the triangle just count how many units each point is from the mirror (x=3)
Count the same number of points in the opposite direction (away from the mirror) and you will arrive at the coordinates for the points
Answer:
It's (7,5)
Step-by-step explanation:
Suppose that 19 inches of wire costs 95 cents. At the same rate, how much (in cents) will 37 inches of wire cost?
Answers
0.95/19 = 0.05 cents per inch
37*0.05 = 1.85
it will cost $1.85
1. Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x= 12.
y = -10 when x = 2
2. Graph the direct variation equation:
y=2x
Answers
[tex]\bf \textit{\underline{y} varies directly with \underline{x}}\implies y=kx \\\\\\ \textit{we also know that } \begin{cases} y=-10\\ x=2 \end{cases}\implies -10=k2\implies \cfrac{-10}{2}=k \\\\\\ -5=k\qquad thus\qquad \boxed{y=-5x}\\\\ -------------------------------\\\\ \textit{what's \underline{y} when \underline{x} is 12?}\qquad y=-5(12)[/tex]
find the binomial coefficient: 2012/2011
Answers
²⁰¹²C₂₀₁₁ = (2012)! / [(2011)! (1)!]
Simplify 2012! / (2011)! = 2012
²⁰¹²C₂₀₁₁ = (2012)! / (1)! = 2012
The binomial coefficient '2012 choose 2011' is calculated using the formula C(n,k) = n! / [(n-k)! * k!]. After substituting the respective values into the formula, we find that the binomial coefficient of '2012 choose 2011' is 2012.
Explanation:The binomial coefficient, often referred to in Mathematics, is generally expressed as 'n choose k' and calculated using the formula: C(n,k) = n! / [(n-k)! * k!]. In this formula, the '!' denotes factorial which means the product of an integer and all the integers below it.
However, the student's question seems to be asking for the binomial coefficient of '2012 choose 2011', which is misinterpreted as a fraction instead.
To calculate it correctly, we would apply the formula mentioned before: C(2012,2011) = 2012! / [(2012-2011)! * 2011!]. Because 2012-2011 equals 1, this simplifies our calculation. The factorial of 1 is 1 itself. Thus, C(2012,2011) = 2012!/ (1! * 2011!), which simplifies to be 2012. So the binomial coefficient of '2012 choose 2011' is 2012.
Learn more about Binomial Coefficient here:https://brainly.com/question/3836597
#SPJ12
Which number is a prime number? 21,22,23,24
Answers
21 is not a prime number, because in addition to having one and itself as factors, it has 7 and 3. ( 1 x 21 = 21.) ( 7 x 3 = 21.)
22 is not a prime number. It's easy to tell because it is an even number. ( 1 x 22 = 22.) ( 2 x 11 = 22.)
24 is not a prime number. It's even, but also has more factors. ( 2 x 12 = 24.) ( 3 x 8 = 24.) (4 x 6 = 24.)
23, however, has no other factors but one and itself. ( 1 x 23 = 23.) So therefore, it is prime.
Write as a single power: 4^20 + 4^20 + 4^20 + 4^20
Answers
Making use of the fact hat eq. (6.20) is an exact differential expression, show that what is the result of application of this equation to an ideal gas
Answers
Your science quiz had 17 questions and you answered 13 of the questions correctly. What is your present score?
Answers
dived 13 by 17
13/17 = 0.7647
= 76.47%
if you need to round the number it would be 76%, which is a 76 grade
Write the equation in spherical coordinates. 3x + 2y + 3z = 1
Answers
[tex]3x+2y+3z=1[/tex]
[tex]\implies3\rho\cos\theta\sin\varphi+2\rho\sin\theta\sin\varphi+3\rho\cos\varphi=1[/tex]
[tex]\implies\rho=\dfrac1{(3\cos\theta+2\sin\theta)\sin\varphi+3\cos\varphi}[/tex]
The marching band is selling cases of fruit for $13 per case. (a) Write an algebraic expression for the cost of f cases of fruit. (b) Evaluate the expression for 250 cases.
Answers
∴ $13 × f cases
= 13f
(b) Since f = 250
= 13(250)
= $3250
An algebraic expression for the cost of f cases of fruit will be (a) z = 13f and the cost for 250 cases will be (b) $3250.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the cost of the fruit is z
Given,
The marching band is selling cases of fruit for $13 per case.
So for f cases of fruit
z = 13f
And cost of 250 cases = z = 13(150) = $3250
Hence, the algebraic expression for the cost of f cases of fruit will be z = 13f and the cost for 250 cases will be $3250.
For more about the equation
https://brainly.com/question/10413253
#SPJ2
If f(x) is a nth degree polynomial then F^(n+1)(x)=0. True or false and why
Answers
Final Answer:
The given statement “If f(x) is a nth degree polynomial then [tex]F^{(n+1)(x)=0[/tex]. True or false and why” is false because the (n+1)st derivative being zero is contingent on the specific value of the leading coefficient in the polynomial. It is not a general rule for all nth degree polynomials.
Explanation:
The statement [tex]\(F^{{(n+1)}(x) = 0\)[/tex] is not universally true for all nth degree polynomials (f(x)). To understand why, consider a general nth degree polynomial [tex]\(f(x) = a_nx^n + a_{n-1}x^{n-1} + \ldots + a_1x + a_0\)[/tex], where [tex]\(a_n\)[/tex] is the leading coefficient and [tex]\(a_n \neq 0\)[/tex].
The nth derivative of (f(x)) can be expressed as [tex]\(f^{(n)}(x) = n! \cdot a_n\).[/tex]Now, the (n+1)st derivative, [tex]\(f^{(n+1)}(x)\)[/tex], will be zero if and only if the leading coefficient [tex]\(a_n = 0\)[/tex]. However, this condition is not satisfied in general, as [tex]\(a_n\)[/tex] is assumed to be nonzero for a nontrivial polynomial. Therefore, the (n+1)st derivative is not guaranteed to be zero for all nth degree polynomials.
In mathematical terms,[tex]\(F^{(n+1)}(x)\)[/tex] equals zero if and only if the leading coefficient of (f(x)) is zero, but this is not a universal characteristic of nth degree polynomials. Consequently, the statement is false, and the (n+1)st derivative may not be zero for all x in the domain of the polynomial.
A jeep and BMW enter a highway running east-west at the same exit heading in opposite directions. The jeep entered the highway 30 minutes before the BMW did, and traveled 7 mph slower than the BMW. After 2 hours from the time the BMW entered the highway, the cars were 306.5 miles apart. Find the speed of each car, assuming they were driven on cruise control.
Answers
when the BMW has been running for 2hrs, the Jeep has been running for 2.5hrs, because it started off the exit 30minutes(0.5hr) before the BMW.
if the rate of the BMW is say "r", then the rate of the Jeep is "r - 7", slower by 7mph.
now, we know after the Jeep was running for 2.5hrs and the BMW was running for 2hrs, they were both apart by 306.5miles, so, say if the Jeep travelled a distance of "d", then the BMW travelled the slack from the 306.5, or "306.5 - d".
[tex]\bf \begin{array}{lccclll} &distance&rate& \begin{array}{cllll} time\\ (hours)\\ \end{array}\\ &-----&-----&-----\\ Jeep&d&r-7&2.5\\ BMW&306.5-d&r&2 \end{array} \\\\\\ \begin{cases} \boxed{d}=(r-7)2.5\\ 306.5-d=2r\\ ----------\\ 306.5-\boxed{(r-7)2.5}=2r \end{cases}[/tex]
solve for "r" to get the rate of the BMW.
what about the Jeep's? well, the Jeep is just r - 7.
Answer:
3x+27+3.5x=397.5
6.5x=370.5
x=57 mph for jeep and travels 199.5 miles in 3.5 hours
x+9=66 mph for B and travels 198 miles in 3 hours
Step-by-step explanation:
speed of jeep=x, time is >>>>> t+0.5 in hours or 3.5 hours here
speed of B=x+9, time is >>>>>>>>>>>> 3 hours
distance is >>>>>>>>> speed time
Hope it Helps.
Answer on: june 11, 2021
A pile of dirt is cone shaped and it has a height of 10 feet and a diameter of 24 feet. Find the volume. * The answer is NOT 1570.96 or 1570.2*
Answers
The formula for the volume of a cone is V = (1/3) (base) (height), where "base" represents the area of the base.
Here the diameter of the base is 24 feet, so the radius of the base is 12 feet.
Thus, the area of the base is (12 feet)^2 times pi: A = 144 pi ft^2.
Multiply this area by the height of the cone, which is 10 feet:
V = 1440 pi ft^3
By calculator, this volume is 4523.893421 cubic feet.
If you want this volume to the nearest cubic foot, it'd be 4524 cubic ft.
If you want this vol. to the nearest 100th cubic ft., it'd be 4523.89 cu. ft.
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 700 liters in the pond to start. Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been added. Write an equation relating W to T . Then use this equation to find the total amount of water after 19 minutes.
Answers
An equation relating W to T is,
W = 700 + 35T
And, Total amount of water after 19 minutes is, 1365 liters
We have to given that,
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute.
There are 700 liters in the pond to start.
Now, Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been added.
Hence, an equation relating W to T is,
W = 700 + 35T
So, For T = 19 minutes,
W = 700 + 35 x 19
W = 700 + 665
W = 1365
Therefore, Total amount of water after 19 minutes is, 1365 liters
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ6
An arithmetic sequence is represented in the following table. Enter the missing term of sequence
Answers
The pattern in the arithmetic progression is the common difference, You will find that when you subtract two consecutive terms of the sequence, you would get a common difference. Let's investigate further:
28-44 = -16
12-28 = -16
-4-12 = -16
Thus, the common difference is -16. To know the last term, just simply add -16 to the very last known term. In this case, -4+-16 = -20. The answer is -20.
Answer:
The required 18th term of the given sequence will be -160
Step-by-step explanation:
The A.P. is given to be : 44, 28, 12, -4, ....
First term, a = 44
Common Difference, d = 28 - 44
= -12
We need to find the 18th term of the sequence.
[tex]a_n=a+(n-1)\times d\\\\\implies a_{18}=44+(18-1)\times -12\\\\\implies a_{18}=44+ 17 \times -12\\\\\implies a_{18}=44-201\\\\\implies a_{18}=-160[/tex]
Hence, The required 18th term of the given sequence will be -160
which is larger 2/3" x 3-7/16" or 0.6"L x 3.43"W?
Answers
= (2/3)*(55/16)
= 55/24
= 2.2917
0.6 x 3.43
= 2.058
The first answer is greater than the second.
Answer: 2/3 x 3-7/16 is larger.
factoring
x^2-4x-21=0
Answers
After playing around with some numbers, I got -7 and 3.
So, the factored form is (x - 7)(x + 3).
If marc ABC = 184°, what is m∠ABC?
Answers
the angle is 1/2 of the arc
184/2 = 92 degrees
It would be half of the intercepted arc which is
360-184 = 176
176/2 = 88 degrees