Thr length of one of the sides of a triangle is equal to 1m, the mesurement of adjacent....... 45, 30 is lengths of the both side triangle.
THANK YOU
Donnel purchased two pairs of jeans. There was a 20% discount on one pair of jeans with an original price of $45.50. There was a 40% discount on the other pair of jeans with an original price of $32.20. How much did he save altogether?
Answer:
$21.98
Step-by-step explanation:
45.50 * .20 = 9.1
32.20 * .40 = 12.88
12.88 + 9.1 = 21.98
Find the median salary of nurses in Illinois : $72500, $52000 , $88500 , $73300 , $112000
Answer:
the correct answer is $74,560 but since that's not declared go with 73300
Peter wins five sixth of his matches and loses the rest. What is the ratio of wins to losses?
BRAINLIEST
Answer:
5:1
Step-by-step explanation:
5/6 won
1/6 lost
5:1=6
Answer:
5:1
Step-by-step explanation:
Total numbers of match = 6
No. of matches Peter wins = 5
Ratio of wins to lose = 5:(6-5) = 5:1
Please, don't write the answer as 1:5. Because, 5:1 and !:5 both are different so don't be confused.
g A pipe of negligible diameter is to be carried horizontally around a corner from a hallway 8 ft wide into a hallway 4 ft wide. What is the longest length that the pipe can be
The length of the longest pipe that can be carried horizontally is given by the minimum value of the function of the length of the pipe.
The longest length that the pipe can be is approximately 16.648 feet.
Reasons:
The length of the pipe, L
Width of the first hallway = 8 ft.
The width of the second hallway = 4 ft.
We have;
(L - a)·sin(θ) = 8
a·cos(θ) = 4
Therefore;
L - a = 8·csc(θ)
a = 4·sec(θ)
L(θ) = 8·csc(θ) + 4·sec(θ)
At the minimum length, we have;
L'(θ) = 4·sec(θ)·tan(θ) - 8·csc(θ)·cot(θ) = 0
4·sec(θ)·tan(θ) = 8·csc(θ)·cot(θ)
Therefore;
[tex]\displaystyle \frac{sec(\theta) \cdot tan(\theta)}{csc(\theta) \cdot cot(\theta)} = \frac{sin(\theta) \cdot tan(\theta) \cdot tan(\theta) }{cos(\theta) } =tan^3(\theta) = \frac{8}{4}[/tex]
[tex]\displaystyle tan(\theta) =\sqrt[3]{\frac{8}{4} } ={\sqrt[3]{2} }[/tex]
θ = arctan([tex]\sqrt[3]{2}[/tex]) ≈ 51.56°
a = 4×sec(arctan([tex]\sqrt[3]{2}[/tex]))
a ≈ 6.434
L = 8·csc(θ) + a = 8 × csc(arctan([tex]\sqrt[3]{2}[/tex])) + 4×sec(arctan([tex]\sqrt[3]{2}[/tex])) ≈ 16.648
The longest length that the pipe can be, L ≈ 16.648 ft.
Learn more here:
https://brainly.com/question/13602432
The longest length of the pipe is an illustration of trigonometry functions
The longest length of the pipe is 16.64 ft
The widths of the hallways are given as:
[tex]\mathbf{w_1 = 8}[/tex]
[tex]\mathbf{w_2 = 4}[/tex]
See attachment for the diagram that represents the scenario
From the diagram, we have:
[tex]\mathbf{sin(\theta) = \frac 4x}[/tex]
[tex]\mathbf{cos(\theta) = \frac 8y}[/tex]
Make x and y the subject
[tex]\mathbf{x = \frac 4{sin(\theta)}}[/tex]
[tex]\mathbf{y = \frac 8{cos(\theta)}}[/tex]
Where, the total length (L) of the pipe is:
[tex]\mathbf{L = x + y}[/tex]
So, we have:
[tex]\mathbf{L = \frac 4{sin(\theta)} + \frac 8{cos(\theta)}}[/tex]
Differentiate
[tex]\mathbf{L' = -\frac{4cos(\theta)}{sin^2(\theta)} + \frac{8sin(\theta)}{cos^2(\theta)}}[/tex]
Set to 0
[tex]\mathbf{-\frac{4cos(\theta)}{sin^2(\theta)} + \frac{8sin(\theta)}{cos^2(\theta)} = 0}[/tex]
Rewrite as:
[tex]\mathbf{\frac{4cos(\theta)}{sin^2(\theta)} = \frac{8sin(\theta)}{cos^2(\theta)}}[/tex]
Divide through by 4
[tex]\mathbf{\frac{cos(\theta)}{sin^2(\theta)} = \frac{2sin(\theta)}{cos^2(\theta)}}[/tex]
Cross multiply
[tex]\mathbf{2sin^3(\theta) = cos^3(\theta)}[/tex]
Divide both sides by [tex]\mathbf{2cos^3(\theta)}[/tex]
[tex]\mathbf{tan^3(\theta) = \frac 12}[/tex]
Take cube roots of both sides
[tex]\mathbf{tan(\theta) = \sqrt[3]{\frac 12}}[/tex]
[tex]\mathbf{tan(\theta) = 0.7937}[/tex]
Take arc tan of both sides
[tex]\mathbf{\theta = tan^{-1}(0.7937)}[/tex]
[tex]\mathbf{\theta = 38.4}[/tex]
Substitute [tex]\mathbf{\theta = 38.4}[/tex] in [tex]\mathbf{L = \frac 4{sin(\theta)} + \frac 8{cos(\theta)}}[/tex]
[tex]\mathbf{L = \frac 4{sin(38.4)} + \frac 8{cos(38.4)}}[/tex]
Evaluate
[tex]\mathbf{L = 6.43+ 10.21}}[/tex]
[tex]\mathbf{L = 16.64}}[/tex]
Hence, the longest length of the pipe is 16.64 ft
Read more about lengths at:
https://brainly.com/question/13147699
7433654 round to the nearest thousand
Answer:
Already rounded to the nearest thousandth.
7433654.000
i will be asking multiple questions (true or false ) you can just tell me which ones are true and which ones are false
4 is 10 times as much as 0.4 0.05 is 10 times as much as 50 0.3 is 10 times as much as
3 0.09 is 1/10 of 0.9 6 is 1/10 of 0.6 80 is 1/10 of 0.08
True, False, False, True, False, False
when randy started his job he earned $8.00 per hour now he makes $450 for working a 40-hour week how much more does he earn per hour than he did when he started
Answer:
3.25?
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
He now earns:
450/40 = 11.25 dollars per hour.
So he gets 11.25 - 8
= 3.25 dollars more.
Help help help help hep help help
Answer:
A' (-1,4)
B' (-4,3)
C' (-2,1)
Step-by-step explanation:
When reflecting a point across the y-axis, the x-coordinate changes signs, and the y-coordinate stays the same. The rule for a reflection across the y-axis is (x,y) -> (-x,y). For example, if we flip the coordinates (1,4) across the y-axis, new the coordinates are (-1,4).
S.7.G.1.1
Question
In a drawing of a bus, the length is 5 cm. If the scale used
is 1 cm: 9 ft, what is the actual length of the bus?
Write the expression 4^4(4^-7)(4) using a single exponent
[tex]4^4(4^7)4\implies 4^4\cdot 4^7\cdot 4^1\implies 4^{4+7+1}\implies 4^{12}[/tex]
Answer:
real answer 4^-2
Step-by-step explanation:
just did on edge
Find the mean, mode(s), and median for the following set: 90, 92, 94, 91, 90, 94, 95, 98
Answer:
mean = 93
mode(s) = 90 and 94
median = 93
Step-by-step explanation:
Mean --> average value[tex]\sf{mean = \frac{90 + 92 + 94 + 91 + 90 + 94 + 95 + 98}{8} }[/tex]
[tex]\sf{mean = \frac{744}{8} }[/tex]
[tex]\bf{mean = 93}[/tex]
.
Mode(s) --> the most frequently occurring value90 = 291 = 192 = 194 = 295 = 198 = 1mode(s) = 90 and 94
.
Median --> middle valuesort from smallest
90, 90, 91, 92, 94, 94, 95, 98
median :
[tex]\sf{median = \frac{92 + 94}{2} }[/tex]
[tex]\sf{median = \frac{186}{2} }[/tex]
[tex]\bf{median = 93}[/tex]
Find the half-life, in days, of Co-60. Round your
answer to the nearest tenth.
Cobalt-60 is used in the treament of
cancer. A sample contains 8 grams of Co-
60 where k = 0.1308.
Enter the correct answer.
N = Noe -kt
DONE
No = initial mass (at time t = 0)
DOO
(อ
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days
Answer:5.3
Step-by-step explanation:
Why
Divide both sides by 8
4=8e ^-0.1308t
0.5=e^-0.1308t
Take log of both sides
In0.5=Ine^-0.1308t
Apply In e^x=x
In0.5=-0.1308
Divide both sides by -0.1308 to solve for t
t=5.3
how do you solve this?? pls add your work as well..
Answer:
[tex](A) - \sqrt2[/tex]
Step-by-step explanation:
Let's find the velocity and acceleration first:
[tex]v(t) = \dot x(t) = cos\ t -( -sin \ t) = cos \ t + sin \ t\\a(t) = \ddot x(t) = -sin\ t + cos\ t = cos\ t - sin t[/tex]
(you can also rewrite the position as [tex]\sqrt 2 sin(t-\frac\pi4)[/tex] and determine velocity and acceleration from there, but I do prefer handling it as a sum for the sake of the derivatives)
At this point, the first time when the velocity is 0 is given by
[tex]cos\ t + sin\ t = 0 \rightarrow cos\ t = - sin t \rightarrow tan\ t = -1 \\t = \frac34 \pi = 2.36s[/tex]
At this point the acceleration is (let's use the first value of t for the sake of our sanity!)
[tex]cos (\frac34 \pi) - sin \frac 34 pi = -\frac1{\sqrt2} -\frac1{\sqrt2} = \sqrt 2 = -1.41[/tex]
m∠BAC = ?
A.) 15
B.) 30
C.) 45
D.) 60
Answer:
B.) 30°Step-by-step explanation:
We know from the property of 30°x60°x90° right triangle:
The hypotenuse is twice the leg which is opposite to 30 angle.We see AC = 2*BC, therefore:
m∠BAC = 30°Correct choice is B
The ratio of angles is directly proportional to the ratio of sides
<B=90°The ratio of sides here is 1:1/2:1
Now
m<BAC be x[tex]\\ \sf\longmapsto 2x+x=90°[/tex]
[tex]\\ \sf\longmapsto 3x=90[/tex]
[tex]\\ \sf\longmapsto x=30[/tex]
Find m∠BXY.
HELPPPPP PLS
Answer:
60°
Step-by-step explanation:
Connecting the mid points of the three sides of the triangle makes four more triangles all similar and half the size of the original. Corresponding angles of similar triangles have the same measure.
What’s the common ratio of the geometric sequence?
-4,-8,-16
Hello! :)
A geometric sequence is a sequence where you use multiplication or division to get to the next term.
-4, -8, -16...
Here, we multiply every number by 2. So the common ratio is 2.
Hope it helps, and let me know if you have any queries.
~A smiley teen who adores helping others
[tex]MagicalNature[/tex] here to help
Answer:
The answer is 2.
Step-by-step explanation:
To get the common ratio, simply dividing each number in the sequence from the number preceding it.
-4, -8, -16
-16 ÷ -8 = 2
- 8 ÷ -4 = 2
Glve the position of E on this number line. -- 1 Write a fraction for your answer. 昌 口号 Х ?
Answer:
3/8
Step-by-step explanation:
Help help help help help help help
Answer:
6
Step-by-step explanation:
x coordinate goes left and on 6 line
y coordinate goes up and on 1 line
(x, y)
(6, 1)
x coordinate is 6
0.45 is the result of finding the product of 3 and 12 minus a number. What is the number?
7/20
19/60
−1/60
−1/20
Answer:
The answer is 7/20
Step-by-step explanation:
This is for k-12!!
Currently taking the quiz just want to help others:)
Answer:
The answer is indeed 7/20 !!
Step-by-step explanation:
For the k12 5.17 Quiz: Model with Multistep Equations
Good luck on the rest of your quiz !!!
June earned $ 75 last week. April earned $25. June earnings were how many times greater than April
Answer:
3 times
Step-by-step explanation:
25 times 3 is 75
This is what i think
Solve for x and y. (Geometry)
Step-by-step explanation:
All angles of the ∆ are same. So it's a equilateral ∆ . So all sides will also be equal .
16 + y = 46
y = 46 -16 = 30
And ,
60 + x + (180-80) = 180
-20 +x = 0
x = 0 +20
x = 20°
Need asapppppppp!!!!!
Answer:
122 degrees-
Step-by-step explanation:
[tex]m\angle {GOC}=m\angle{GOA}+m\angle{AOC}\\=32^\circ + 90^\circ\\=122^\circ[/tex]
Angle GOA is a vertical angle with angle DOE, so it has the same measure (vertical angles are congruent).
Angle AOC is a right angle because angle COE is a right angle.
Jamal had $25.00. He spent $9.00. Which decimal represents the fraction of the $25.00 that
Jamal spent?
A. 0.64
B. 0.36
C. 04
D. 06
Answer:
B. 0.36
Step-by-step explanation:
9/25 = x/100
9x100= 900
900 divided by 25 will be 36/100, so 0.36
Find the missing number.of 2/4÷5/7= 2/4×7/5=
[tex] \bf \color{gold} \frac{2}{4} \div \frac{5}{7} = [/tex]
[tex] \tt\frac{2}{4} \times \frac{7}{5} = [/tex]
[tex] \tt \frac{14 \div 2}{20 \div 2} = [/tex]
[tex] \tt {\boxed{ \color{blue}{ {\frac{7}{10}}}}}[/tex]
THE RESULT IS 7/10
Answer:
The solution is:
2/4÷5/7 = 7/102/4×7/5 = 7/10Step-by-step explanation:
2/4÷5/7
= 2/4×7/5
= 1/2×7/5
= 7/10
2/4×7/5
= 1/2×7/5
= 7/10
The table shows the number of admission tickets to an amusement park sold over the last 3 days.
Day Tickets Sold
Friday 2 to the power of 4 · 3 to the power of 2 · 5 to the power of 3
Saturday 2 to the power of 2 · 3 to the power of 4 · 7 · 13
Sunday 3 to the power of 6 · 5 · 7
How many more tickets were sold on Sunday than on Friday? Write your answer as a whole number.
HOW MANY tickets??!?
Answer:
There were 7515 more ticket sold on Sunday than on Friday.
Answer: There were 21915 sold on Sunday than on Friday.
A simple pendulum is made from a 0.864-m-long string and a small ball attached to its free end. The ball is pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?
Answer:
Step-by-step explanation:
The period of a simple pendulum is
T = 2π√(L/g)
as going from zero velocity to max velocity takes 1/4 of a period
t = ¼(2π)√(L/g)
t = ½π√(L/g)
t = ½π√(0.864/9.81)
t = 0.466 s
What is the formula of(a+b)whole square
Answer:
Step-by-step explanation:
(a+ b) ² = a² + b² + 2ab
Determine the slope and y-intercept of a line that passes through the points (2, 4) and (–4, 1).
m = [ A. –2.5 , B. –1.5 , C. 0.5 ]
b = [ A. 3, B. 7, C. 9 ]
Answer:
hhhhhhhhhhhhiiiiiiiii
On the following set of axes, create the graph of a function f (x) with the following characteristics:
Passes through the points,
(-8,0), (5,-2) and (8,3)
Functions can be represented on graphs and graphs can also be represented as functions.
The given parameters are:
Points = (-8,0), (5,-2) and (8,3)
Absolute Maximum = (-4,5)
Absolute Minimum = (2,-6)
Start by plotting the points (including the absolute maximum and the absolute minimum) without connecting the dots (see attachment 1)
The decreasing interval [tex]\mathbf{-4 \le x \le 2}[/tex] implies that the graph decreases from x =-4, to x =-2
See attachment (2) for the rough sketch of the graph that represents the given points and the decreasing interval
Read more about graphs at:
https://brainly.com/question/19277419
if someone helps me with dis ill give u brainliest
Answer:
(25, 30) = 150 ,300 450
(15, 24) = 120 225 300
Step-by-step explanation:
Prime Factorization of 15 is:
3 x 5 => 3^1 x 5^1
Prime Factorization of 24 is:
2 x 2 x 2 x 3 => 2^3 x 3^1
Prime Factorization of 25 is:
5 x 5 => 5^2
Prime Factorization of 30 is:
2 x 3 x 5 => 2^1 x 3^1 x 5^1