Answer:
√3
Step-by-step explanation:
From the formula used in calculating Friction, we have:
Frictional Force = coefficient of Friction × Reaction
i.e Fr = μ × R
Resolving Frictional Force and Reaction of a body moving with on an Inclined plane,
Frictional Force = mass × g × sin a
where a = to the angle given
Reaction = mass × g × cos a
Therefore,
mass × g × sin a = μ × mass × g × cos a
mass and g cancels out on both sides.
Therefore,
sin a = μ × cos a
make "μ" subject.
μ = sin a/cos a
(recall: tan a = sin a /cos a)
μ = tan a
recall a = angle given = 60°
μ = tan 60°
μ = √3
or simply recall that
μ = tan a
μ = tan 60°
μ = √3
The dimensions of a rectangle are represented by the functions shown.
Which function represents the area of the rectangle?
12x2 + 15x – 10
12x2 + 7x + 10
12x2 – 8x – 10
12x2 + 7x – 10
Answer:
12x²+7x-10
Step-by-step explanation:
(3x-2)(4x+5)
=12x²-8x+15x=10
=12x²+7x-10
S = length * width = (3x-2)(4x+5)
Answer:
d 12x2 + 7x – 10
edg got a 100 % on test
Step-by-step explanation:
f(x) = x4 - 9x3 - 8x2 - 9x - 2; f(-3)
-
Answer:
Step-by-step explanation:
f(x) = x⁴ - 9x³ - 8x² - 9x - 2
f(-3) = (-3)⁴ -9*(-3)³ - 8*(-3)² - 9*(-3) - 2
= 81 - 9*(-27) - 8*9 + 27 -2
= 81 + 243 - 72 + 27 - 2
= 277
Answer:
[tex]F(-3)=142[/tex]
Substitute x=-3 into
[tex]F(x)=x\times4-9x\times3-8x\times2-9x-2[/tex]
Substitute
[tex]F(-3)=-3\times4-9\times(-3)\times3-8\times(-3)\times2-9\times(-3)-2[/tex]
Determine the sign
[tex]F\left(-3\right)=-3\times4+9\times3\times3+8\times3\times2+9\times3-2[/tex]
Calculate the product or quotient
[tex]F(-3)=-12+9\times3\times3+8\times3\times2+9\times3-2[/tex]
[tex]F\left(-3\right)=-12+27\times3+8\times3\times2+9\times3-2[/tex]
[tex]F\left(-3\right)=-12+81+8\times3\times2+9\times3-2[/tex]
[tex]F\left(-3\right)=-12+81+24\times2+9\times3-2[/tex]
[tex]F\left(-3\right)=-12+81+48+9\times3-2[/tex]
[tex]F\left(-3\right)=-12+81+48+27-2[/tex]
Calculate the sum or difference
[tex]F(-3)=69+48+27-2[/tex]
[tex]F(-3)=117+27-2\\F(-3)=144-2\\F(-3)=142[/tex]
I hope this helps you
:)
(hurry please I only have 30 mins-) what is 13 9/12 ÷ 2 9/12 =
Answer:
5
Step-by-step explanation:
Given:
9/12 = .75
__________________________________________________________
13 9/12 ÷ 2 9/12 = 13.75 ÷ 2.75
13.75 ÷ 2.75 = 5
Hope this helps!!
~Silver
Just do these two problems for me and I’ll be so happy
Answer:
See below
Step-by-step explanation:
5) y = x + 7
6) y = -x + 1
PLEASE HELP WILL MARK BRAINLIEST Maddie is reading a graph of equivalent ratios. One point on the graph is (4, 5). Maddie says (10, 8) is also on the graph. Is Maddie correct? Explain why or why not. PLEASE MAKE THE ANSWER SCHOOL APPROPRIATE
Answer:
No, Maddie is not correct. The points (4, 5) and (10, 8) do not represent equivalent ratios. The ratio 4 to 5 is not the same as the ratio 10 to 8
Step-by-step explanation:
A simple pendulum has time period of 2 second. How many oscillations it completed in 30 s?
PLS ANSWER AS SOON AS POSSIBLE!!!!!
Answer:
every two seconds it does one full swing,meaning after 30 seconds. it will do 15 full swings.
Step-by-step explanation:
Forty-four students go on a field trip. The students are divided into groups of 7 students. How many groups of 7 will there be?.
6
To solve this problem, you need to divide the total number of students going on the field trips with the number of students in each group.
44/7
= 6 R 2
Since, I assume there can only be groups of 7, the answer is 6.
help asap will give bainlest and 1000 points
Answer:
[tex]\sf 1\frac{1}{6}[/tex]
solving steps:
[tex]\sf given: x = 9, \ y = \frac{5}{6}[/tex]
solve:
[tex]\sf \frac{2}{3} (x-6)-y[/tex]
[tex]\sf \frac{2}{3} (9-6)-\frac{5}{6}[/tex]
[tex]\sf \frac{2}{3} (3)-\frac{5}{6}[/tex]
[tex]\sf 2 - \frac{5}{6}[/tex]
[tex]\sf \frac{12}{6} -\frac{5}{6}[/tex]
[tex]\sf \frac{12-5}{6}[/tex]
[tex]\sf \frac{7}{6}[/tex]
[tex]\sf 1\frac{1}{6}[/tex]
Answer:
7/6
Step-by-step explanation:
x = 9, y = 5/6
2/3(x - 6) - y
2/3(9 - 6) - 5/6
2 - 5/6
12/6 - 5/6
= 7/6
What is the greatest common factor of 8, 12, and 40?
The greatest common factor of 8,12,40 is 4
4 x 2= 8
4 x 3 = 12
4x 10 = 40
CB = 4, CA = 11 , and CE = 8 , what is the length of overline ET ?
[tex]\\ \rm\hookrightarrow \dfrac{BC}{AB}=\dfrac{CE}{ET}[/tex]
ET be x[tex]\\ \rm\hookrightarrow \dfrac{4}{7}=\dfrac{8}{x}[/tex]
[tex]\\ \rm\hookrightarrow 4x=56[/tex]
[tex]\\ \rm\hookrightarrow ET=x=14[/tex]
A candy factory makes 30 pieces of candy each day. How many pieces of candy will the factory make in 60 days?
Answer:
1,800
Step-by-step explanation:
30 times 60 is what ? 1,800
Write the fraction 8 over 36
in simplest form.
Answer:
I think it's 2/9 goodluck:)!!
HELPP ASAP
Given that f(x)=x^2-15x+54f(x)=x
2
−15x+54 and g(x)=x-6g(x)=x−6, find f(x)\cdot g(x)f(x)⋅g(x) and express the result in standard form.
Answer:
x^3 - 21x^2 + 144x - 324
Step-by-step explanation:
f(x) = x^2 - 15x + 54
g(x) = x - 6
To find f(x) x g(x), you just substitute the values of f(x) and multiply it with g(x).
(x^2-15x+54)(x-6) = x^3 - 15x^2 + 54x - 6x^2 + 90x - 324
= x^3 - 21x^2 + 144x - 324
Your welcome, and comment if you have any questions! :D
If the sum of 3 consecutive odd integers is equal to 177, what is the value of the larger integer?
Answer:
65
Step-by-step explanation:
55 + 65 + 57 = 177
there are more factors, but I found this one the quickest.
hope this helps!
What is the value of r? r = 4 ft r = 8 ft r = 16 ft r = 32 ft.
The value of r is 4 feet, the correct option is A.
What is the area of the circle?
The area of a circle is the region occupied by the circle in a two-dimensional plane.
Given
The area of circle Z is 64 ft2.
According to the following formula, we must find the radius of the circle:
[tex]\rm r =\sqrt{\dfrac{Area}{\pi }}[/tex]
Substitute all the values in the formula
[tex]\rm r =\sqrt{\dfrac{Area}{\pi }}\\\\\rm r =\sqrt{\dfrac{64}{3.14}}\\\\\rm r =\sqrt{20.38}\\\\r=4.5[/tex]
Hence, the value of r is 4 feet.
To know more about the area of the circle click the link given below.
https://brainly.com/question/19164857
HELP PLEASE!!!! Do anyone know this question's answer?
ANSWER:: x<-1 or you could also write it as x >/ 2
hope that helps.
Find the perimeter.
Answer:
22v^2 + 5v - 4
Step-by-step explanation:
5v^2 + 9v - 11 + v - 7 + 17v^2 -5v +14
22v^2 + 5v - 4
which of the expressions are equivalent to (8+3) divided by 4
a. 8•(3+4)
b.(3+4)•(8+4)
c.(8+4) divided by 3
d.(3+8) divided by 4
Answer:d
Step-by-step explanation: it’s the same but reversed,on on the addition problem. Making it the same question
a number multiply by 3 and half and sixteen was added to the results if the answer is 30 find the number
Can you please help me:)
What is the probablility that a student plays on a sports team given they play an instrument.
Answer:
These two things have litterally nothing to do with eachother
Step-by-step explanation:
50% chance i guess?
Answer:
According to an answer online about this question it’s 0.10 which is a 10 percent chance
Step-by-step explanation:
(b) The area of a rectangular painting is 7719 cm2.
If the width of the painting is 83 cm, what is its length?
Length of the painting: cm
?
We are given that the width of of a rectangular painting is 83 cm and it's area is 7719 cm² and we are asked to find it's length , as we know that the area of a rectangular shape is given by L×B. Where L is the length of the rectangular shape and B is the width/Breadth .Now , applying the same concept in our question we have ;
[tex]{:\implies \quad \sf L\times 83=7719}[/tex]
[tex]{:\implies \quad \sf L=\dfrac{7719}{83}}[/tex]
[tex]{:\implies \quad \sf L=93}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Length=93\:\: cm}}}[/tex]
Andre solved the equation 2x−9=10 In the following way. Why is Andre correct?
For a standard normal distribution, find the approximate value of P (z less-than-or-equal-to 0. 42). Use the portion of the standard normal table below to help answer the question. Z Probability 0. 00 0. 5000 0. 22 0. 5871 0. 32 0. 6255 0. 42 0. 6628 0. 44 0. 6700 0. 64 0. 7389 0. 84 0. 7995 1. 00 0. 8413 16% 34% 66% 84%.
For a standard normal distribution, the approximate value of P(z≤0.42) is 66%.
What is Standard normal distribution?The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.
In order to calculate the value of the P(z≤0.42), we need to check the value of 0.42 in the z-table, As the Z-table is already given and in the table, the value of z is 0.6628, therefore,
[tex]P(z\leq 0.42)\\\\=0.6628 \approx 66\\\\= 66\%[/tex]
Hence, For a standard normal distribution, the approximate value of P(z≤0.42) is 66%.
Learn more about Standard normal distribution:
https://brainly.com/question/25447725
Answer:
86% is correct
Step-by-step explanation:
Help me solve this problem:
-3(x^-2 y^-2)^0
Answer:
[tex] = - 3[/tex]
I have brainlest
I have follow me
I have heart and 5 star
The dependent variable g represents the growth of a plant. What variables can represent independent variables in this situation
Answer:
Amount of sunlight, amount of water, amount of fertilizer, etc
Step-by-step explanation:
Many factors could be the independent variable. It could be amount of sunlight, amount of water, amount of fertilizer, etc. Dependent variables respond to the independent variables, which are the ones you change.
Alan owns a shop one week he recorded the number of orders placed each day. From Monday the Friday the mean number of orders placed per day was 72 for the whole week the mean number was 93. On Saturday 152 orders were placed.
Work out the mean number of orders placed on Sunday
34 orders were placed on Sunday.
Mean numbersGiven that from Monday to Friday the mean number of orders placed per day was 72 and for the whole week the mean number was 93, while on Saturday 152 orders were placed, to work out the mean number of orders placed on Sunday you must perform the following calculation:
72 x 5 + 93 x 2 = X360 + 186 = X546 = X546 - 360 - 152 = X34 = XTherefore, 34 orders were placed on Sunday.
Learn more about mean numbers in https://brainly.com/question/16582452
Answer:
Number of orders on Sunday is actually 139.
Step-by-step explanation:
Sorry this is late but the tutor did 93 x 2. That's wrong. Must do 93 x 7 and follow my steps below to get a reasonable answer to Sunday which is also close to Saturday.
what product is greater than 2 5/6?
A. 1/8 X 2 5/6
B. 6/5 X 2 5/6
C. 5/6 X 2 5/6
D. 2 5/6 X 2/3
Answer: B
Step-by-step explanation: because 6/5 would give you a number greater than 1 so multiplying it to 2 5/6 will give you number greater than 2 5/6
If a ∥ b and e ∥ f, what is the value of y?
I'll give you brainliest if you answer correctly
Answer:
D 92.
Step-by-step explanation:
if a || b and e || f
THEN...
x + 1 = y
y + z = 180
z = x - 3
x = 91
y = 92
z = 88
answer is 92
vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
come on !
how do you create a line ?
you mark 2 points, take a ruler and draw a line through both points (and extend the line beyond the points as far as the chart goes).
how do you find points ?
you think about a nice value for x (really, any value on the x-axis of the chart is OK) and then calculate y.
you mark the point at this x, y coordinates.
you know, the x-axis is the horizontal coordinate line, and the y-axis is the vertical coordinate line.
so, I would pick x =0. that gives us y = 0 + 0.5 = 0.5.
and maybe x = 2. that gives us y = 2 + 0.5 = 2.5
so, you have (0, 0.5) and (2, 2.5) as points.
and then simply do as described above.
