Answers
9514 1404 393
Answer:
-√3
Step-by-step explanation:
We note that this matches the form for the tangent of the difference of two angles:
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(βb))
Here, we have α = 25π/24 and β = 3π/8. Then the angle difference is ...
α -β = π(25/24 -3/8) = π(2/3)
The value you seek is ...
tan(2π/3) = -√3
Related Questions
Two numbers are consecutive positive multiples of 3. Three
times the larger of the numbers is 7
10
of 5 times the smaller.
What are the numbers?
Answers
9514 1404 393
Answer:
18, 21
Step-by-step explanation:
Let x represent the smaller number. Then x+3 is the larger number, and the other relation between them is ...
3(x+3) = (7/10)(5x)
6x +18 = 7x . . . . . multiply by 2 and simplify
18 = x . . . . . . . . . . subtract 6x
The two numbers are 18 and 21.
Find the surface area of the following figures.
with solution please. T-T
Answers
Answer:
1.a=5cm
Surface area :6a²=6×5²=150cm²
2.r=3cm
h=5cm
total surface area of cylinder =2πr(r+h)
=2π×3(3+5)=48π cm²
3.
l=4m
b=5m
h=2m
now.surface area =2(lb+lh+bh)
=2(4*5+4*2+5*2)
=76m²
4.
r=6cm
surface area =4πr²=4*π*6²=144πcm²
5.
slant height (S)=8cm
length =breadth=(L)=4cm
Surface area of pyramid =area of base + 2* area of trainglular face
=L²+2*S*L
=4²+2*8*4
=80cm²
given the system of equations, what is the value of the system to determinant.
x + y = 8
x + y = 10
-----------------
-2
-1
0
Answers
Answer:
0
Step-by-step explanation:
given the system of equations, what is the value of the system to determinant.
x + y = 8
x + y = 10
This can be written in the form AX = b
A is a 2 by 2 matrices
b is a column matrix
Taking the determinant of A
[tex]A =\left[\begin{array}{ccc}1&1\\1&1\\\end{array}\right][/tex]
We are to finds the determinant
|A| = 1(1) - 1(1)
|A| = 1 -1
|A| = 0
hence the required determinant is 0
the product of nine, y and x not simplified.
Answers
Answer:
9yx
Step-by-step explanation:
product means multiply.
nine, y and x
9yx
A half of century=_________years
Answers
Answer:
50 years
Step-by-step explanation:
a century is 100 years so half of that would be 50
What is A line that a graph approaches as x or y increases, but never crosses?
Answers
Answer:
Asymptotes. The y -axis is a vertical asymptote of the graph. This means that the curve gets closer and closer to the y -axis but does not cross it. Let us consider what happens as the value of x approaches zero from the right for the equation whose graph appears above.
Step-by-step explanation:
please answer!!! Express cos J as a fraction in simplest terms.
Answers
Answer:
Step-by-step explanation:
You need JL. Use the Pythagorean Theorem to get it.
a^2 + b^2 = c^2
a = 9
b = 40
c = ?
9^2 + 40^2 = c^2
c^2 = 1681
sqrt(c^2) = sqrt(1681)
c = 41
Cos(j) = adjacent / hypotenuse
adjacent = 9
hypotenuse = 41
Cos(J) = 9 / 41
Radha purchased a cosmetic item at 5 % discount. If she got the discount amount of
Rs 74, at what price did she purchase the item?
200 uhon VAT of 13% is levied
Answers
Answer:
She purchased the item at a price of Rs 1,406.
Step-by-step explanation:
5% of discount:
This means that she paid 100% - 5% = 95% = 0.95 of the original price of x, that is, 0.95x, and 0.05x was the discount.
Original price:
She got the discount amount of Rs 74.
74 is 5% of the original price, that is:
[tex]0.05x = 74[/tex]
[tex]x = \frac{74}{0.05}[/tex]
[tex]x = 1480[/tex]
What price she purchased:
74 subtracted from the original price, that is, x - 74. So 1480 - 74 = 1406.
She purchased the item at a price of Rs 1,406.
HELP!!! Find the angle measure.
Answers
Answer:
AOB=40°
COD=90°
BOD=130°
AOD=180°
A 20 foot ladder is leaning against a 25 foot building. The bottom of the ladder is 9 feet away from the building. How high is the top of the ladder above the ground?
Answers
Answer:
17.9 feetStep-by-step explanation:
This is a right triangle
the 20 foot ladder is the hypotenuse
The 9 foot at the bottom is one leg
The height is the remaining leg
Use the pythagorean theorem
a² + b² = c²
a² + 9² = 20²
Subtract 9² from both sides
a² = 20² - 9²
a² = 400 - 81
a² = 319
Take the square root of both sides
a = 17.860571099491752
rounded
17.9 feet
Answer:
A ladder is the hypotenuse of the right triangle.
Missing leg is x.
Use Pythagorean:
x² = 20² - 9²x² = 319x = √319x = 17.86 feet or 18 feet roundedFind the surface area of the composite solid.
Answers
Answer:
343.6 meters cubed
Step-by-step explanation:
28+96+96+96+27.6=343.6
I NEED THIS BY TOMORROW!!! PLEASE HELP!3. The FBI nicknamed the robbers "The Charm School Boys," because they are so nice and polite and
they don't use weapons or threats. One of the possible reasons why they are able to execute the 14400
robberies so efficiently is that plan for everything. In order to map out their escape routes, it is
important the back allies of the banks form right angles. Prove angle x is a right angle
Y2400
Elmst
-phooh
Phoes-
Oakst
120
300yd-
Walnut St
Back
Alley
Answers
Answer:
the x is 90
because its special trangle 3 4 5 but multiplied by 100
if jason had2/7 cakes and 5/9 how much wood that be
Answers
Help me plsssssssssssss
Answers
9514 1404 393
Answer:
8.4
Step-by-step explanation:
The given segment relations tell you that the parallel lines are equally spaced. This means that ...
WV = 3×WY
WV = 3×2.8
WV = 8.4
Which terms are like terms?
4c, 2, 6f, -5, and 7c
Answers
4c and 7c are like terms since they have same variable ‘c’
2 and -5 are like terms because both of them have no variable
Answer:
2 and -5
4c and 7c
Step-by-step explanation:
2 and -5 have no coefficient
4 and 7 have the same coefficient which in this case is c.
therefore the two pairs are like terms.
help asap people!!!! thanks.
Answers
Frequency of y=sin0/3
Answers
Answer:
y=sin(°/3) means that y equals the sine of a given degree divided by 3.
If the quadrilateral below is a kite, find m
Answers
Answer:
49°
Step-by-step explanation:
7.5x-15+90=180
7.5x+75 =180
7.5x=105
x =14
so NPQ = ( 4×14 -7 ) = 49° this the answer
ABC Bookstore sells packages of books that include both new and used books. New books cost $16 and used books cost $8. The bookstore wants to sell packages that have 30 books total, and the store charges $336 for each package. How many new and used books will be in each package?
A. 318 new, 12 used
B. 12 new, 18 used
C. 16 new, 8 used
D. 8 new, 16 used
(It's B, just took the test)
Answers
Answer:
b
Step-by-step explanation:
the following equations can be determined from the question
16n + 8o = 336 equation 1
n + o = 30 equation 2
where n = new books
o = old books
Multiply equation 2 by 8
8n + 8o = 240 equation 3
subtract equation 2 from 1
8n = 96
n = 12
substitute for n in equation 2
12 + o = 30
o = 18
Answer:
B. 12 new, 18 used
Step-by-step explanation:
Hope this helps!
What are the greatest commom factor of 2x2x3x5 and 2x3x3x5
Answers
Answer:
[tex] \huge \bold \purple{answer}[/tex]
The greatest common factor of 2x2x3x5 and 2x3x3x5 is 2x3x5HELP PLEASE!!!! Find x.
Answers
Answer:
x = 33
Step-by-step explanation:
these two angles are a linear pair, they form a straight line
there are 180 degrees in a straight line
so you can add each expression and have sum equal 180
2x-18 + 4x = 180
6x - 18 = 180
6x = 198
x = 33
Cars enter a car wash at a mean rate of 3 cars per half an hour. What is the probability that, in any hour, at least 3 cars will enter the car wash
Answers
Answer:
0.938
Step-by-step explanation:
Using the poisson probability relation:
P(x = x) = (e^-λ * λ^x) ÷ x!
λ = 3 per half an hour = 6 cars per hour
P(x ≥ 3) = 1 - [p(x = 0) + p(x = 1). + p(x = 2)]
P(x ≥ 3) = (e^-6* (6^0 + 6^1 + 6^2/2!))
P(x ≥ 3) = 1 - (e^-6 * (1 + 6 + 18)
P(x ≥ 3) = 1 - (e^-6 * 25)
P(x ≥ 3) = 1 - (0.0024787 * 25)
P(x ≥ 3) = 1 - 0.0619688
P(x ≥ 3) = 0.9380311
= 0.938
What is the perimeter, in -inches, of the square shown below? A 8 B 16. C 32 D 64
Answers
Answer:
The perimeter, in inches, is 32.
Step-by-step explanation:
Since this shape is a square, we know that all sides are equal.
The information given to us is that one side of the square measures 8 inches.
8 + 8 + 8 + 8 = 32
Answer:
c 32
Step-by-step explanation:
Squares have 4 sides of the same length
8 * 4 = 32
Which of these lines is perpendicular to the line 5y = -6x + 2?
Answers
Answer:6y= -5x + 3
Step-by-step explanation:
The product of the slope of the perpendicular lines is equal to a negative one. Then the equation of the perpendicular line is 6y = 5x.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the line is given below.
5y = -6x + 2
The slope of the equation is -6/5.
Then the equation of the line which is perpendicular to 5y = -6x + 2 is given as
y = mx + c
The product of the slope of the perpendicular lines is equal to a negative one.
The slope of the perpendicular line will be
(-6/5) m = -1
m = 5/6
Then the equation will be
y = (5/6)x + c
Let the equation is passing through the origin, then we have
6y = 5x
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
PLEASE LIKE HONESTLY PLEASE
Answers
Answer:
250 in²
Step-by-step explanation:
There are four identical rectangles so therefore area of one rectangle times 4. Then add the sum of the areas of the two identical squares.
4( l x b) + 2( l x b)
4( 10 x 5) + 2(5 x 5)
4(50) + 2(25)
200 + 50
Therefore 250 in²
centipede would beat frog any day also ez Q for u
Answers
Answer:
32
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by the reciprical of the fraction, i.e. dividing by 1/4 is the same as multiplying by 4/1 :)
Write as a money amount and as a decimal in terms of dollars
33/100
Answers
Answer:
$0.33 or 33¢
Step-by-step explanation:
33/100 = 0.33 = $0.33
For Mother's Day, Meghan bought her mother flowers that cost $25.34 and a card that was $2.99. She also bought herself a candy bar. If she paid with three $10 bills and got 58 cents back, how much was her candy bar.
Answers
Answer:
1.10
Step-by-step explanation:
Answer:
$1.09
Step-by-step explanation:
3 10 dollar bills is $30
$30 - $25.34 - $2.99 - $0.58 = $1.09
Let u = x ^ 2 + 3 . Which equation is equivalent to (x ^ 2 + 3) ^ 2 + 21 = 10x ^ 2 + 30 in terms of u?
Answers
Answer:i think that it is B
u^2 - 10u + 51=0
Step-by-step explanation:
Rewrite the expression using exponents.
7 • 4 • 4 • 4 = 4^_ • 7^_
(Type whole numbers.)