The cross-sectional area of the shaft is 314 mm²
The outside diameter (d₂) = 6 cm = 60 mm
The inside diameter (d₁) = 4 cm = 40 mm
The cross sectional area of the shaft (A) is given by:
A = π(d₂ - d₁)²/4
Substituting values:
A = π(60 - 40)²/4
Simplifying the equation:
A = 314 mm²
The cross-sectional area of the shaft is 314 mm²
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Help with question 4 please
Answer: y=5 x=11
abc=def
ab=de <b=<e
17y-8=12+13y 11x-4=117
-13y -13y +4 +4
4y-8=12 11/11x=121/11
+8 +8 x=11
4/4y=20/4
y=5
The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons. What is the average rate of change in steel production over the eight days? Express the answer in tons per day.
A.
+1.2
B.
-1.2
C.
+0.15
D.
-0.15
Answer:
I think is A srry if im wrong :c
Step-by-step explanation:
Answer:
-0.15
we want to divide the amount of tons that was lost over the course of 8 days, in which the answer is 1.2 divided by 8 = 0.15, we then get -0.15 because they lost tons
I hope this helps
Sausages come in packets of 7. Bread rolls come in packets of 5. Dan wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?
Answer:
5 packs of sausages7 packs of rolls
Step-by-step explanation:
You need to find the common multiple.
5 x 7 = 35.
We know that before this there is no other common multiple becuase 7 does not multiply to a number that ends with a 0 or 5 until 35.
So, he will need to buy:
- 5 packs of sausages
- 7 packs of rolls
Answer:
7 packs of rolls
5 packs of sausages
Step-by-step explanation:
The easiest way to solve this question is to make a table with 3 columns
Rolls 5 10 15 20 25 30 35
Sausages 7 14 21 28 35 42 49
# packs 1 2 3 4 5 6 7
Looking at the table you can see that the first number that matches up is 35 so looking at that point we would need 7 packs of rolls and 5 packs of sausages.
Can somebody help me on this one
What is y-8=3(x+1) in standard form
Answer: 3x - y= -11
Step-by-step explanation: just rewrite in youre standard form equation
Which statement describes a ratio?
44.56 divided by 4.46
Answer:
9.99103139013
Step-by-step explanation:
For the rounded version it would be 10.00 rounded to the nearest whole
Suppose you are told that 1/2 = 3' on a scale drawing. If there is an object that measures 5" in the drawing, what would its actual length be?
Scale drawings are used to represent a large drawing using smaller measurements
The equivalent of 5" in the drawing is 30' i.e. 30 feet
The scale is given as:
[tex]\mathbf{\frac 12" = 3'}[/tex]
A single quote means feet, while a double quote means inches
So, the scale can be rewritten as:
[tex]\mathbf{\frac 12\ inches= 3\ feet }[/tex]
Multiply both sides by 10
[tex]\mathbf{\frac 12\ inches \times 10 = 3\ feet \times 10}[/tex]
Simplify
[tex]\mathbf{5\ inches = 30\ feet }[/tex]
Rewrite as:
[tex]\mathbf{5" = 30'}[/tex]
Hence, the equivalent of 5" in the drawing is 30' i.e. 30 feet
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If Marlee rolls the number cube 12 times, how many times would she expect to get a number greater than 4
Answer:
i think its 6, but tell me is it multiple choice.
Step-by-step explanation:
Please answer the question below
Answer:
11
Step-by-step explanation:
the question is the photo
Answer:
its A. B. C. D. E.
Step-by-step explanation:
all of it are correct
The revenue for a company producing widgets is given by y = -10x2 - 25x + 125, where x is the price in dollars for each widget. The cost of the production is given by y = 60x - 10. Determine the price that will allow the production of the widget to break even.
When they create 3.44 products and make a revenue of $76.027, they will break even.
Step-by-step explanation:
To do this, simply graph the 2 equation in a graphing calculator and analyze the graph for where the 2 graphs intersect. Discard the negative intersection because we cannot have a negative production. You should see that your intersection point is (3.441, 76.027).
The diagonals of this rhombus are 8 and 16 units long. Their intersection creates four right angles, two 4-unit-long segments, and two 8-unit long segments. Given this information, find the area of the rhombus in square units (Use only the digits 0 – 9 and the decimal point, if needed, to enter a number).
Answer:
[tex]64\ \text{sq. units}[/tex]
Step-by-step explanation:
Area of a rhombus is the product of the length of the diagonals divided by two.
Length of one diagonal is 8 units and the other diagonal is 16 units
Area is given by
[tex]A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}[/tex]
The area of the rhombus is [tex]64\ \text{sq. units}[/tex]
Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.
[tex]A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}[/tex]
m/4-1/2=m/6+5
Please help
Answer:
3m/12-6/12=2m/12+60/123m-2m/12=60-6/12m/12=54/12m=54/12×12m=54
is the correct answer is the 54
the total cost of tickets to the school play is shown in the table. Write an equation to find the total cost of any number of tickets. Describe the relationship in words. Use the equation to find the cost of 15 tickets.
HEELLLPPPP MEEE 100 POINTS!!!
Juan has a collection of 13 dice, 5 of which have eight sides. If Juan randomly rolls 4 dice, what is the probability that exactly 2 of the chosen dice have eight sides? Write your answer as a decimal rounded to four decimal places.
Answer:
38
Step-by-step explanation:
what is the value of the expression of 83-5x6
Answer:
x = 77/5
Step-by-step explanation:
I am going to assume that the equation is 83 - 5x = 6. First, we need to subtract 6 on both sides. So, our equation should look like 77 - 5x = 0
Then, add 5x to both sides. So, the equation should be 77 = 5x. Divide by 5 on both sides to get x = 77/5.
Lois earns $20 for walking 4 dogs. How much would she earn for each dog?
Answer: She would earn $5 per dog
Step-by-step explanation: 20 divided by 4 = 5
Answer:
$5 for each dog
Step-by-step explanation:
If you have $20 for walking 4 dogs and wanted to know how much you made for each single dog, you would divide by the number of dogs by the amount you received doing this you get the equation 4/20. That equals 5.
How do I solve y= -3x + 21 -2x +3y = 8 by substitution?
Answer:
x = 5
Step-by-step explanation:
substitute the y equation into -2x +3y =8 and you will get 5 as the solution :)
what sign makes this comparison true?
> OR < (less than or greater than)
-9/10 -7/10
Answer:
greater than because that is what it is your welcome
HELP PLEASEEEE<3!!!!
Answer:
a = b = 40°
Step-by-step explanation:
∠ a and 140° are adjacent and are supplementary , thus
a = 180° - 140° = 40°
a and b are alternate angles and are congruent, thus
b = a = 40°
Answer:
b=40 okkkkllllllkkkkkkkkkkkkkkkkkkkkkllllllkkkk
Given: angle 1= angle 2
If AB=10,AC=6,and BC=6, find AD.
A.5
B.15
C.10
Answer:
AD=5
Step-by-step explanation:
We are given that
AB=10, AC=6 BC=6
We have to find the value of AD.
Let AD=x
BD=AB-AD
BD=10-x
Credits to: lublana
Step-by-step explanation
Braydon paid $94 for 6 meals. How much would 9 meals cost?
Answer:
assuming all the meals cost the same: about 141 dollars
Step-by-step explanation:
comment if explanation needed
This is for middle school 9th grade please help me :)
Answer:
i think it's undefined
Step-by-step explanation:
what is the product of 9+10
Answer:
19
Step-by-step explanation:
Umm just add I guess
Answer:
19
Step-by-step explanation:
because if you draw nine sticks then add 10 sticks and count them all at the end you will have 19 sticks
5.Select all of the expressions that are equivalent to 8x - 12
(3 Points)
a.4(2x - 3)
b.-12x + 8
c.6x + 2x - 12
d.8(x - 1) - 4
Answer:
A
Step-by-step explanation:
Write the equation of the line that passes through the given points.
(15/8,0) and (17/8,1/2)
The equation of the line is _______.
Answer:
Step-by-step explanation:
Going from (15/8,0) to (17/8,1/2), we see that x (the 'run') increases by 2/8, or 1/4, and that y (the 'rise') increases by 1/2. Thus, the slope of this line through the given points is m = rise / run = (1/2) / (1/4) = 2.
Using the point-slope formula for the equation of a line, we obtain:
y - 0 = 2(x - 15/8), or
y = 2(x - 15/8) (simplest form), or
8y = 2x - 15/4, or
2x - 8y = 15/4, or
8x - 32y = 15
All of these are correct; they are 'equivalent.'
solve the inequality -12
Answer:
the answer is 12 because the distance between-12and0 is -12
BRAINLIEST IF YOU HELP
Evaluate this expression: (6.4 × 10^3) ÷ (3.2 × 10^2)
Express your answer in scientific notation.
A. 2 × 10^1
B. 2 × 10^2
C. 2 × 10^5
D. 2 × 10^6
help me find slope! Plz
Answer: m=-1
Step-by-step explanation: