Answer:
The two triangles are very similar by them both having the same kind of angles even though they are different in size, like, an acute angle.
I'm not sure if this helped or not hopefully it did good luck.
Solve 3≥y−2. Graph the solution. The solution is
Answer:
y ≤ 5
Step-by-step explanation:
too lazy to explain :/
9/10 divided by 3/4
3/4 divided by 9
6/9 divided by 6/7
5/6 divided by 3/10
Answer:
9/10 divided by 3/4 is 6/5
3/4 divided by 9 is 1/12
6/9 divided by 6/7 is 7/6
5/6 divided by 3/10 is 25/9 but as a mixed number it is 2 7/9
May you solve this for me?
Answer: 23.94 cm
Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.
I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.
The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of three jobs per 8-hour day. The company's repair facility is a single-server system operated by a repair technician. The service time varies, with a mean repair time of 2 hours and a standard deviation of 1.5 hours. The company's cost of the repair operation is $28 per hour. In the economic analysis of the waiting line system, Robotics uses $35 per hour cost for customers waiting during the repair process. What are the arrival rate and service rate in jobs per hour
Answer:
The correct answer is:
[tex]\lambda=0.375 \ jobs \ per \ hour[/tex][tex]\mu=0.5 \ jobs \ per \ hour[/tex]Step-by-step explanation:
The given values are:
Service time varies,
Repair time = 2 hours
Standard deviation = 1.5 hours
Robotics uses per hour cost,
= $35
Company's cost per hour,
= $28
(a)
⇒ Arrival rate = Jobs per hours
then,
= [tex]\frac{8 \ hours}{3 \ jobs}[/tex]
= [tex]2.666 \ hours \ per \ job[/tex]
The jobs per hour will be:
⇒ [tex]\lambda=\frac{1}{2.666}[/tex]
[tex]=0.375[/tex]
(b)
⇒ Service rate = jobs per hour
then,
μ = [tex]\frac{1 \ repair \ job}{2 \ hours}[/tex]
= [tex]0.5 \ jobs[/tex]
1. Noah has $15,000 to invest. He invests some amount at 5% annual interest and the rest at 3% annual
interest. After one year, his total interest from both accounts is $620.
How much did he invest in each account? (Clearly label which amount is for which account in your
answer. Hint: Over a one year period, annual interest is the same as simple interest.)
[6 pts]
Answer:
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
Step-by-step explanation:
Let the sum invested at interest rate of 5% be X
Let the sum invested at interest rate of 3% be Y
As we know
[tex]X + Y = 15000[/tex] - Eq (1)
[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]
[tex]5X + 3Y = 62000[/tex] ---Eq (2)
Multiplying Eq (1) by 3 we get -
[tex]3X + 3Y = 45000[/tex]
Substract Eq (1) from Eq (2) we get
[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
two numbers add up to 144. one number is half the square of the other number. what are the numbers
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Answer:
36 plus 36 plus 72 = 144 or 72 + 72= 144
may someone please help? thank you!
Answer:
[tex]6\sqrt2\\OR\\8.48528137[/tex]
Step-by-step explanation:
The area of a sector of a circle is found by:
[tex]A = \frac{\theta*r^2}{2}[/tex]
The question asks for the radius so the equation above can be repurposed
[tex]r = \sqrt\frac{2A}{\theta}[/tex]
A = 3pi
angle = pi/12
[tex]\frac{6\pi}{\pi/12} = \frac{72\pi}{\pi} = 72[/tex]
[tex]\sqrt{72} = 6\sqrt2 = 8.48528137[/tex]
In a school of 1200 students, the ratio of
the number of teachers to students is 1 : 15.
After some teachers join the school, the ratio of
the number of teachers to students becomes 3:40.
Find
(i) the initial number of teachers in the school,
(ii) the number of teachers who join the school.
Step-by-step explanation:
i)Initial School population,
given 15 units = 1200
1 unit =
[tex]1200 \div 15 \\ = 80[/tex]
Number of teachers (initial) = 1 unit = 80.
ii)take j = number of teachers joining the school.
New teacher population = 80+j
[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]
Please help me ASAP please
Answer:
217=31m; m=7, 7 miles per day
Step-by-step explanation:
217/31=m 217=31m, just divide the total number of miles by the number of days
Algebra 2
L.3 Multiply polynomials BGN
Answer:
x² + 4x
Step-by-step explanation:
Area of the rectangle = length × width
length = x + 4
width = x
Therefore,
Area = x(x + 4)
Area = x*x + x*4
x² + 4x
The radius of a circle is 13 cm. Find its circumference in terms of pie.
Answer:
26 pi
Step-by-step explanation:
Answer:
531
Step-by-step explanation:
first the formula for finding the circumference of a circle is πr2
where π = 22/7
r = 13x13
hence, circumference = πr2
= 22/7 x 13 x 13
= 22/7 × 169
= 22 x 169/7
= 3718/7
= 531 cm
Let X and Y be independent Bernoulli random variables with parameters 0.2 and 0.3, respectively. Find the distribution of X Y. List all possible values that X Y can take. Write your answer as a comma-separated list ordered from smallest to largest value. possible values: List the probabilities that X Y takes each of the values. Write your answer as a comma-separated list giving the probabilities in the same order as in (a)
Answer:
a) 0 , 1
b) 0.56 , 0.06
Step-by-step explanation:
X = 0.2
Y = 0.3
Find the distribution of X + Y
a) All the possible values of X + Y
The possible values of X + Y are ; 0,1
b) The probabilities that X + Y takes each of the values
P(X+Y=0 ) = ( 1-0.2 )*(1-0.3) = 0.56
P( X +Y = 1) = 0.2*0.3 = 0.06
Which could be the function graphed below?
9514 1404 393
Answer:
(a) f(x) = √x -2
Step-by-step explanation:
The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.
[tex]f(x)=\sqrt{x}-2[/tex]
Answer:
the answer is A.
Step-by-step explanation:
:))))))
help please! need asap
Answer:
2
Step-by-step explanation:
6×3÷4=2
Hope this helps you
Given tan theta = -2 and pi/2 < theta < pi; find cos2theta.
a. - 4/3
b.- 4/5
c. 3/4
d. - 3/5
PLEASE HELP ASAP
Answer:
Cos 2theta = -3/5
Step-by-step explanation:
Given that;
tan theta = -2
tan theta = -2/1 = opp/adj
hyp^2 = (-2)^2+1^2
hyp = √4+1
hyp = √5
sin theta = opp/hyp
sin theta = -2/√5
Cos theta = adj/hyp
Cos theta = -2/√5
Cos 2theta = 1-2sin^2 theta
Cos 2theta = 1- 2(-2/√5)^2
Cos 2theta = 1- 2(4/5)
Cos 2theta = 1- 8/5
Cos 2theta = (5-8)/5
Cos 2theta = -3/5
What is the area of the triangle?
hi guys what is and can u please do the method 4050 divided by 100
Answer:
40.5
Step-by-step explanation:
what i do is I divided first by 10. because 100 is 10x10.
so 4050 divided by 10 is 405.
405 divided by 10 is 40.5
4050 divided by 100 = 40.5
Please help me thanks! :)
Answer:
eyjdnfbhs
Step-by-step explanation:
The Wells family uses up a
1
2
-gallon jug of milk every 3 days. At what rate do they drink milk?
Simplify your answer and write it as a proper fraction, mixed number, or whole number
Answer:
4 gallons/1 day
Step-by-step explanation:
What is a rate? A rate is writing a ratio in fraction form. A ratio is the proportion of two things. (ex: for every 1 dog, there are two cats.)
Creating the ratio: For the ratio, there is no given amount of which one needs to come first, but because it is about the milk, I put that first. In the problem it says 12 gallons for 3 days so: 12/3
Simplifying: To simplify, think of the largest factor between the two numbers. If you can't immediately, think of one factor in common and keep simplifying. In this case, 4 is the greatest common factor between these. To simplify, divide both sides by four, and that is your answer: 4: 1
Use the shell method to compute the volume (CALCULUS HELP!!!)
Use the shell method. The volume is
V = 2π ∫₅⁸ (x - 5) x ² dx
V = 2π ∫₅⁸ (x ³ - 5x ²) dx
V = 2π (1/4 x ⁴ - 5/3 x ³) |₅⁸
V = π/6 (3x ⁴ - 20x ³) |₅⁸
V = π/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))
V = 891π/2
Estimate the area of the circle. Use 7/22 for π
Answer:
Area = pi * r^2
r is half of the diameter
Area = pi * 14^2
Area = 196 pi
196 * 3.14
Area is approximately 615.44 cm^2
24 13
10) Find the midpoint of a line segment AB. A(3, 10) and B (-9,3)
Answer:
(-3 ;13/2)Step-by-step explanation:
hello :
the midpoint of the line segment is : ((3-9)/2 ;(10+3)/2 )
(-3 ;13/2)
Find lateral surface
area of the play tent.
h = 4 in
14 in
5 in
5 in
W
6 in
Answer:
224 in.²
Step-by-step explanation:
The tent has a shape of a triangular prism. So, we are looking for the Lateral surface area of a triangular prism.
Lateral surface area of a triangular prism = Perimeter of base × height of prism
Perimeter of base = 5 + 6 + 5 = 16 in.
Height of prism = 14 in.
Plug in the values
Lateral Surface Area = 16 × 14 = 224 in.²
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Can anyone please help me with this question?
Answer:
d
Step-by-step explanation:
Determine the Geometric mean of 18 and 27
Answer:
The geometric mean of 18 and 27 is 22.045407685
Step-by-step explanation:
I hope this helps and pls mark me brainliest :)
Answer:
22.045407685
Step-by-step explanation:
what does noncollinear
9514 1404 393
Answer:
not on the same line
Step-by-step explanation:
Any two distinct points define a line. Additional points may or may not be on that line. If they are on the line, they are collinear with other points on the same line.
Any point not on the line is noncollinear with the points that are on the line.
square root of 27 lies between which two natural numbers?
Answer:
5,6
Step-by-step explanation:
Answer:
5 and 6
Step-by-step explanation:
5² = 25
6² = 36
13 inches = _/ _ ft (in fraction)
Answer:
1 1/12 ft
Step-by-step explanation:
12 inch per foot
13in - 12in = 1 in
1 in left over
1 1/12
Answer:
1ft. 1in.
6/1 is the answer
Lucy drank 6 liters of water after 2 days. How many liters of water did she drink after 6 days?
Answer:
18 Liters of water