9514 1404 393
Answer:
x = 5
Step-by-step explanation:
The given side is opposite the angle, and the unknown is the hypotenuse. The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(30°) = (5/2)/x
x = (5/2)/sin(30°) = (5/2)/(1/2) = 5/1
x = 5
__
Additional comment
In this 30°-60°-90° "special" right triangle, the long leg is √3 times the short leg, so ...
y = (5/2)√3
Mr jones rolls a 6 sided cube mumbered 1,2,3,4,5,6, what is the probability he rolls a three.
Answer:1.5
Step-by-step explanation:
Graph the compound inequality on the number line. x > 7 or x < -4
OSEAMENTE no se la respuesta
Change the word phrase to an algebraic expression. Use x as the variable to represent the number.
16 subtracted from a number
Let x = the number.
16 subtracted from a number can be written as…
Answer:
I think the answer is
x-16
since 16 is subtracted from x.
I hope this helps
Please helpppppp I need to pass
Answer:
x = -1.4 and x=2
Step-by-step explanation:
The solutions are where the graphs intersect
The graphs appear to intersect at x = -1.4 and x=2
Which graph matches the exponential function f(x) = (3)x?
a number t is less than 7
Answer:
6 or 5 or 4...........
Step-by-step explanation:
Answer:
x=N :x<7
Step-by-step explanation:
123456
hope it's helpful
Find the missing side lengths leave your answer as a racials simplest form
Answer:
x = 20
y = 10
Answered by Gauthmat
100 x 20 + 30 help me
[tex]\boxed{\underline{\bf \: Answer}}[/tex]
[tex] \sf100 \times 20 + 30[/tex]
First multiply 100 & 20 together.
[tex] \sf= 2000 + 30[/tex]
Now add 2000 & 30. You'll get :-
[tex]= \boxed{ \bf 2030}[/tex]
____
Hope it helps.
RainbowSalt2222
[tex]\\ \rm\longmapsto 100\times 20+30[/tex]
[tex]\\ \rm\longmapsto (100\times 20)+30[/tex]
Solve bracket[tex]\\ \rm\longmapsto 2000+30[/tex]
[tex]\\ \rm\longmapsto 2030[/tex]
complete the table below?
ABC = $425
Load = 0
Total Cost = $425
Sales Price = $850
Sales price ÷ total cost = 850/425
= 2%
DEF = $600
Load = $375
Total Cost = $975
Sales Price = $1200
Sales Price ÷ Total cost = 1200/975
= 1% (Nearest 1%)
Must click thanks and mark brainliest
Business/multivariable calc question
help needed asap!!!!
Answer:
There is a min value of 376 located at (x,y) = (9,7)
============================================================
Explanation:
Solve the second equation for y
x+y = 16
y = 16-x
Then plug it into the first equation
f(x,y) = 3x^2+4y^2 - xy
g(x) = 3x^2+4(16-x)^2 - x(16-x)
g(x) = 3x^2+4(256 - 32x + x^2) - 16x + x^2
g(x) = 3x^2+1024 - 128x + 4x^2 - 16x + x^2
g(x) = 8x^2-144x+1024
The positive leading coefficient 8 tells us we have a parabola that opens upward, and produces a minimum value (aka lowest point) at the vertex.
Let's compute the derivative and set it equal to zero to solve for x.
g(x) = 8x^2-144x+1024
g ' (x) = 16x-144
16x-144 = 0
16x = 144
x = 144/16
x = 9
The min value occurs when x = 9. Let's find its paired y value.
y = 16-x
y = 16-9
y = 7
The min value occurs at (x,y) = (9,7)
Lastly, let's find the actual min value of f(x,y).
f(x,y) = 3x^2+4y^2 - xy
f(9,7) = 3(9)^2+4(7)^2 - 9*7
f(9,7) = 376
The smallest f(x,y) value is 376.
de la
QUESTION 8
The hospital has allotted 120 days of inservice for every 15 departments. How many days of inservice can each department use?
I
Answer:
in 8 days
Step-by-step explanation:
soln
given,
total days=120
department=15
we know,
120/15
=8
•°•8days are given to each department.
Factorise 24e^2-28e-12
Answer:
4(2e - 3)(3e + 1)
Step-by-step explanation:
Given
24e² - 28e - 12 ← factor out 4 from each term
= 4(6e² - 7e - 3) ← factor the quadratic
Consider the factors of the product of the e² term and the constant term which sum to give the coefficient of the e- term.
product = 6 × - 3 = - 18 and sum = - 7
The factors are - 9 and + 2
Use these factors to split the e- term
6e² - 9e + 2e - 3 ( factor the first/second and third/fourth terms )
= 3e(2e - 3) + 1 (2e - 3) ← factor out (2e - 3) from each term
= (2e - 3)(3e + 1)
Then
24e² - 28e - 12 = 4(2e - 3)(3e + 1) ← in factored form
a shopkeeper gains #1.75 by selling an article for #6.25. what is the percentage gain.
Answer:
≈ 38.89%Step-by-step explanation:
The cost is:
6.25 - 1.75 = 4.50Percentage gain:
1.75/4.50*100% ≈ 38.89%Urgent need the answers plz help.
Answer:
(a) [tex]P" = (-4,-3)[/tex]
(b) [tex](x,y) \to (4,-8)[/tex]
Step-by-step explanation:
Given
[tex]P = (4,3)[/tex]
Solving (a): Reflect across x and y-axis.
Reflection across x-axis has the following rules
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]P' = (4,-3)[/tex]
Reflection across y-axis has the following rules
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]P" = (-4,-3)[/tex]
Hence, the new point is: (-4,-3)
Solving (b): Rx . Do,2 (2,4)
[tex]R_x \to[/tex] reflect across the x-axis
Reflection across x-axis has the following rules
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex](2,4) = (2,-4)[/tex] ---- when P is reflected across the x-axis
[tex]D_{o,2} \to[/tex] dilate by a scale factor of 2
The rule is:
[tex](x,y) \to 2 * (x,y)[/tex]
So, we have
[tex](x,y) \to 2 * (2,-4)[/tex]
Open bracket
[tex](x,y) \to (4,-8)[/tex]
The number of hearing aids that needs to be produced and sold is??
Answer:
14.36 AND 9.89 ===> 14 or 10
Step-by-step explanation:
Y = Ax2 Bx C
Enter coefficients here >>> -4 97 -568
Standard Form: y = -4x²+97x-568
-24.25 -12.125 147.015625 -588.0625 20.0625
Grouped Form: No valid Grouping
Graphing Form: y = -4(x-12.13)²+20.06
Factored Form: PRIME
Solution/X-Intercepts: 14.36 AND 9.89
Discriminate =321 is positive, two real solutions
VERTEX: (12.13,20.06) Directrix: Y=20.13
In GeoGebra, display the slope of AB and the slope of the perpendicular line passing through C. Use this to verify your responses in parts B and C. Then move points A, B, and C on the grid to several different locations, and record the slopes of the two lines and the coordinates of A, B, and C.
Answer:
plato screenshot!
Step-by-step explanation:
I don't personally know *how* to find the answers, but here's the screenshot of the suggested answer on Plato
Answer:
A B Slope of C Slope of Line Through C
(−5,4) (−1,−1) −1.25 (1,2) 0.8
(−5,4) (−3, 5) 0.5 (−2, 1) −2
(−4, 1) (−3, 5) 4 (−2, −2) −0.25
(−5, −2) (−1, 1) 0.75 (−4, 3) −1.33
(−5, −2) (1, −1) 0.17 (−3, 1) −6
Step-by-step explanation:
that way you can copy and paste each one but Plato
Use the graph of ƒ to find ƒ(2).
0.5
–8
–0.5
Does not exist
Answer:
Step-by-step explanation:
When you're looking to find things like f(2) and f(4) and f(-3000), etc. the number inside the parenthesis is an x value. Look to the graph, find that x value, and locate the y value that corresponds to it. f(2) = -8. f(-1) = 4. f(1) = -4. See?
Answer:
does not exist
Step-by-step explanation:
that what i put hope it helps
Please help! Thank you!
In the figure below, O is the center of the circle. Name a tangent of the circle.
A. AO
B. FG
C. AB
D. HK
Answer:
Its A
Step-by-step explanation:
The tangent of the given circle is FG hence the correct option will be an option (B).
What is a tangent of a circle?The tangent of a circle is a line that intersects the circle at the periphery of the circle.
If you draw a line that goes through the center to the tangent touching point then it will give you a 90-degree angle.
Given the circle it's clear that the tangent is only FG hence it will be the correct option
A circle can have an infinite number of tangents.
In other words, a straight line that only touches a circle twice is said to be tangent to it. The term point of intersection refers to this location
At the tangent line, the tangent to a circle is orthogonal to the radius.
For more information about the tangent of the circle
https://brainly.com/question/23265136
#SPJ2
The total number of branches in a tree diagram will be which of the following values?
the probability of an event occurring
the denominator of a probability
the numerator of a probability
Answer:
The total number of branches = total possibilities = the denominator of a probability.
So the second choice is correct.
Let me know if this helps!
Answer:
Step-by-step explanation: answer B (the denominator of a probability)
Which of the following represents 32/100? A. thirty-two hundredths B. 0.032 C. 0.23 D. thrity-two tenths
Answer:
A
Step-by-step explanation:
32 hundredths is 32/100
Side note
32/100 can be simplified to 8/25.
(Kind of urgent!) Using the figure below, find the value of a. Enter your answer as a simplified radical or improper fraction (if necessary)
Answer:
15/4
Step-by-step explanation:
sin60 =z/15
z=15sin60 =(15√3)/2
cos30 =b/z
b = zcos30 = (15√3)/2 * √3/2 = 45/4
a = 15-b = 15-45/4 = 15/4
The value of a is 15/4
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
According to the given figure,
Here is a right triangle
Let, The hypotenuse = 15
perpendicular = z and base = 15 = a + b
⇒ sin60 = perpendicular/hypotenuse = z/15
⇒ z = 15sin60 = (15√3)/2
⇒ cos30 = base/hypotenuse = b/z
⇒ b = zcos30 = (15√3)/2 * √3/2 = 45/4
⇒ a + b = 15
Substitute the value of b in the above equation,
⇒ a = 15-b = 15-45/4 = 15/4
Hence, the value of a is 15/4.
Learn more about the right triangle here:
brainly.com/question/6322314
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QUESTION 9
Convert 0.85 decimal to a fraction (do not reduce)
Answer:
85/100
Step-by-step explanation:
0.85 from a decimal is equal to 85/100 in fractions
What is the probability of rolling a 2 and 3 with 2 die
After the release of radioactive material into the atmosphere from a nuclear power plant at Chernobyl (Ukraine) in 1986, the hay in Austria was contaminated by iodine 131 (half-life 8 days). If it is safe to feed the hay to cows when 10% of the iodine 131 remains, how long did the farmers need to wait to use this hay?
Given the data provided, it follows that the farmers must wait for 26 days before feeding the hay to cows.
What is half life?The term half life is defined as the time taken for half of the original amount of the radioactive sample to remain.
Now we know that;
half life = 8 days
Original amount = No
Amount left after t days = 0.1No
time taken = t days
Hence;
0.693/8 = 2.303/t log (No/0.1No)
0.087 = 2.303/t
t = 2.303/0.087
t = 26 days
Learn more about radioactivity: https://brainly.com/question/14356798
translate into a variable expression and then simplify. five times the sum of a number and four
Answer:
5(n+4)
5n+20
Step-by-step explanation:
Let n be the number
5* (n+4)
Distribute
5n+20
calculate the effective yearly rate if an investment offers a nominal interest rate of 9.5% compounded quarterly
Answer:
9.725%
Step-by-step explanation:
(1.0475)^2 =1.09725
one year 2 periods 4.75% per period
Help! Please? Dont understand
Piecewise functions alg1
Answer:
C. 0
Step-by-step explanation:
Since we are finding f(-4), we use the first function since -4 is less than -2.
f(-4) = (-4) + 4 = 0
Therefore, the answer is C.
What is the area of the trapezoid?
Answer:
A=a+b
2
Step-by-step explanation:
To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
What is 3.24 ( 4 repeating) as a fraction?
Answer:
81/25
Step-by-step explanation:
change 3.24 into faction
324 over 100 because there are two decimal points .
simplfy into the smallest fraction
the answer is 81 over 25