Given:
44 cu. cm of wire is drawn into a wire of diameter 2 mm.
To find:
The length of the wire.
Solution:
We know that,
1 cm = 10 mm
1 cu. cm = 1000 cu. mm
We have, a wire of cylindrical shape.
Volume of the wire = 44 cu. cm
= 44000 cu. mm
Radius of the wire = 2 mm
Volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height.
Putting V=44000, [tex]\pi=\dfrac{22}{7}[/tex] and r=2, we get
[tex]44000=\dfrac{22}{7}\times 2^2\times h[/tex]
[tex]44000\times \dfrac{7}{22}=4h[/tex]
[tex]14000=4h[/tex]
Divide both sides by 4.
[tex]\dfrac{14000}{4}=h[/tex]
[tex]3500=h[/tex]
Therefore, the length of the wire is 3500 mm or 350 cm.
Help me with this!!!!
Well the distance from the two points is 15 so that means the midpoint in -10+7.5=-2.5. There you go! Have a nice day.
Give two solutions of the inequality: p ≤ 3
Answer:
3,2
Step-by-step explanation:
3 is equal to 3 which can be it and 2 is less than 3
1 point
When solving the system of equations below, what is the appropriate
substitution?
7x + 10y = -1
x = 5y - 8
O 7x + 10(5y - 8) = -1
7x + 10y = 5y - 8
O 7(5y - 8) + 10y = -1
O -1 = 5y- 8
22.6)
2-4,5)
0 0
2(5.4)
3
X(-6, 2)
2
4
Y"(42)
6 5 4 3 2
1 2 3 4 5 6
-1
-3
-5
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Determine the angle of rotation of triangle XYZ.
O 270°
180°
90°
360°
Answer:
your answer is right its 90°
Which expression is equivalent to sqrt 8x^7y^8? Assume x>0
Answer:
√8x^7y^8
= 2x^3y^4 √2x
answer is C. third choice
Step-by-step explanation:
The expression is equivalent to given expression is [tex]2^{\frac{3}{2} }x^{\frac{7}{2} }.y^4[/tex].
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is √(8x⁷y⁸).
Here, √(8x⁷y⁸)
= [tex](8x^7y^8)^{\frac{1}{2} }[/tex]
= [tex]2^{\frac{3}{2} }x^{\frac{7}{2} }.y^{\frac{8}{2} }[/tex]
= [tex]2^{\frac{3}{2} }x^{\frac{7}{2} }.y^4[/tex]
Therefore, the equivalent expression is [tex]2^{\frac{3}{2} }x^{\frac{7}{2} }.y^4[/tex].
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A ratio of two numbers is equal to 3:8. If the smaller number is 12,find the greater number.
The other no. is:
32
As you can see that in the ratio given, 3 is the smaller no. and 12 too.
So when we divide 12 by 3, we get 4
Then to find the other no. we need to multiply 4 with 8 (which is the other no. in the ratio given)
Therefore, we get the other no. as 32
And also when you divide 12 by 32,
You get the answer as 3 by 8 (which is the given ratio)
Hope you found this helpful!
THANK YOU!!
∝ Sidhdi
Hey i need help with this question. I need it to be solved and I need to see the length of the diagonal. Please put a proper answer or Branly will just take the points away from you. Thanks
Answer:
x = 40.25 mStep-by-step explanation:
Use Pythagorean
x² = 36² + 18² x² = 1620x = √1620x = 40.25 mAnswer:
in right angled triangle BCD
by using Pythagoras law
P²+B²=H²
A²+B²=C²
36²+18²=x²
x=√1620=18√5m
x=18√5 m is your answer
look at triangle ABC
ABD is an isosceles triangle where AB=AD
work out sizes of angle x,y and z
Answer:
Step-by-step explanation:
x+110=180
x=70 degrees
y+40+110=180
y=30 degrees
z+70+90=180
z=20 degrees
8.12394 rational or irrational
Answer:
rational
Step-by-step explanation:
if it does not terminate nor become periotic it is irrational other wise it is rational
An angle measures 3.2° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
43.4° and 46.6°Step-by-step explanation:
x - measure of angle
x + 3.2° - measure of its complementary angle
Complementary angles adds to 90°
x + x + 3.2° = 90°
2x = 90° - 3.2°
2x = 86.8°
x = 86.8°÷2
x = 43.4°
x+3.2° = 43.4° + 3.2° = 46.6°
The radius of a sphere is 7 cm. What is the sphere's volume? Round to the nearest tenth, and use 3.14 for π.
Answer:
1,436.8
Step-by-step explanation:
Help me again??????????????
Answer:
Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2
Step-by-step explanation:
First you make the fraction's denominator equal
2/5 = 4/10
Camen's water bottle is 1 8/10
Jorge's water bottle is 2 4/10
1/2 = 5/10
Make the fractions into a improper fraction
Camen's is 18/10
Jorge's is 24/10
subtract it
24 - 18 = 6
So Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2
#3. Write the slope-intercept equation of
the line
Answer:
y = - 4x + 5
Step-by-step explanation:
(y-1)/ (5-1) = (x-1)/(-1)
y-1 / 4 = -x+1
y-1 = -4x+4
y = - 4x + 5
It costs $32 per day to rent a medium-sized car, plus $0.25 for each mile driven over 150 miles. The equation that represents this situation is y = 0.25x + 32, where y represents the total cost of renting a car, and x represents the number of miles driven over 150 miles.
a.) What is the slope and what does it represent in the context of this problem?
b.) What is the y- intercept and what does it represent in the context of this problem?
Answer:
Read explanation
Step-by-step explanation:
A)The slope is the number before the X so 0.25, this represents the amount of money people have to pay for each mile driven over 150 miles.
B) The y-intercept is the number after the X so 32, this number represents the amount people have to pay rent the car before actually using it.
Simplify x + 4x + 6x
answer:
11x
step-by-step explanation:
just add them since they are like termsx + 4x + 6x
= 11x
Answer:
11x
Step-by-step explanation:
just add them all together
x + 4x = 5x
5x + 6x = 11x
hope this helps :)
QUICK HELP PLEASE TIME IS ALMOST UP!!
Answer: first one
Step-by-step explanation:
Evaluate the expression when x=6 and y=4 Explain how you calculated your answer
10y+x 2nd power
Answer:
Ans = 76
Step-by-step explanation:
10y + [tex]x^{2}[/tex]
=> 10 * 4 + [tex]6^{2}[/tex]
=> 40 + 36
=> 76
Hope it helps :)
The numbers 1 - 30 are written down on pieces of paper and placed in a hat for
students to to randomly select.
Answer:
Event A = 1/3
Event B = 1/6
Step-by-step explanation:
The probability of drawing a number between 1 and 10 (Event A) is approximately 0.3333 or 33.33%.
To calculate the probability of Event A, we need to determine the total number of favorable outcomes (numbers between 1 and 10) and divide it by the total number of possible outcomes (all numbers from 1 to 30).
Counting the favorable outcomes:
Event A consists of numbers between 1 and 10. So, there are 10 favorable outcomes: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
Counting the total possible outcomes:
The hat contains numbers from 1 to 30. So, there are 30 possible outcomes: {1, 2, 3, ..., 30}.
Calculating the probability of Event A (P(A)):
The probability of an event is given by the formula:
P(A) = (Number of Favorable Outcomes) / (Total Number of Possible Outcomes).
In this case,
P(A) = 10 (favorable outcomes) / 30 (total possible outcomes)
P (A) = 1/3 ≈ 0.3333 or 33.33%.
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A football team took possession of the ball on the 50 yard line. They lost 5 yards on the first down, and lost another 6 yards on the play. What yard line does the team hike the ball on the third down of their possession?
Answer: The answer should be 39 yard line
Step-by-step explanation: If you start at the 50 and remove 11 yards you will have 39 yards left
Solve: 7x = 6x -9
plsss
Answer:
x = -9
Step-by-step explanation:
I know school can be hard and believe me I know sometimes u just want to quit but being in school can make a difference so I want to get u a lot of points please do your best have a good day or night
Answer:
yes, school is hard
thanks for points
have a good day ....❤
A football field measures 100m by 72m . A school marks a football field similar in shape to a full size football field but only 30m long . What is its width ?
Answer: 240 m
Step-by-step explanation:
Given
Football field measures [tex]100\ m\times 72\ m[/tex]
Another similar field of length
[tex]L=30\ m[/tex]
and width, say W is marked
So, their area must be the same
[tex]\Rightarrow 100\times 72=30\times W\\\\\Rightarrow W=\dfrac{7200}{30}=2540\ m[/tex]
The width of the football field is 41.7m
The football measures 100m by 72 m. The school football field is similar.
Similar rectanglesFor similar rectangles, the corresponding sides have common ratios. Therefore, let's establish the proportion as follows:
100 / w = 72 / 30cross multiply
3000 = 72w
divide both sides by 72
w = 3000 / 72
w = 41.6666666667
w = 41.7 m
learn more on proportion here: https://brainly.com/question/582443
which statement is incorrect?
Where exactly are the alleged statements?
WILL GIVE BRAINLIEST, PLEASE HELP! Given the foci and vertices of an ellipse, complete the following steps.
Answer:
a) The location of the center of the ellipse is [tex](4,-6)[/tex]. It is determine by knowing the location of foci and Midpoint formula.
b) The standard equation of the ellipse is [tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex].
c) Major semiaxis ([tex]a[/tex]): [tex]a = 9[/tex], Minor semiaxis ([tex]b[/tex]): [tex]b = \sqrt{31}[/tex]
Step-by-step explanation:
a) Foci are located in the major axis of the ellipse, given the locations of ends of the major axis and locations of the foci. We can determine the location of the center of the ellipse by Midpoint formula:
[tex](h,k) = \frac{1}{2}\cdot F_{1}(x,y) + \frac{1}{2}\cdot F_{2} (x,y)[/tex] (1)
Where [tex]F_{1} (x,y)[/tex] and [tex]F_{2} (x,y)[/tex] are the locations of the foci.
If we know that [tex]F_{1}(x,y) = (4, -6-5\sqrt{2})[/tex] and [tex]F_{2} (x,y) = (4,-6+5\sqrt{2})[/tex], then the location of the center of the ellipse is:
[tex](h,k) = (4, -6)[/tex]
The location of the center of the ellipse is [tex](4,-6)[/tex]. It is determine by knowing the location of foci and Midpoint formula.
b) Now we need to determine the length of each semiaxis:
Major semiaxis ([tex]a[/tex])
[tex]a = \sqrt{[V_{2}(x,y)-(h,k)]\,\bullet\,[V_{2}(x,y)-(h,k)]}[/tex] (2)
[tex]V_{2}(x,y)-(h,k) = (4,3)-(4,-6)[/tex]
[tex]V_{2}(x,y) - (h,k) = (0, 9)[/tex]
[tex]a = 9[/tex]
Please notice that [tex]V_{2}(x,y)[/tex] is one of the vertices of the ellipse in the major axis.
Distance between focus and center ([tex]c[/tex])
[tex]c = \sqrt{[F_{2}(x,y)-(h,k)]\,\bullet\,[F_{2}(x,y)-(h,k)]}[/tex]
[tex]F_{2}(x,y) -(h,k) = (4-4,-6+5\sqrt{2}+6)[/tex]
[tex]F_{2}(x,y) - (h,k) = (0, 5\sqrt{2})[/tex]
[tex]c = 5\sqrt{2}[/tex]
Minor semiaxis ([tex]b[/tex])
[tex]c^{2} = a^{2}-b^{2}[/tex] (3)
[tex]b = \sqrt{a^{2}-c^{2}}[/tex]
If we know that [tex]a = 9[/tex] and [tex]c = 5\sqrt{2}[/tex], then the length of the minor semiaxis is:
[tex]b = \sqrt{31}[/tex]
In this case, the standard equation of the ellipse is defined by this formula:
[tex]\frac{(x-h)^{2}}{b^{2}}+\frac{(y-k)^{2}}{a^{2}} = 1[/tex]
If we know that [tex]a = 9[/tex], [tex]b = \sqrt{31}[/tex] and [tex](h,k) = (4, -6)[/tex], then the standard equation of the ellipse is:
[tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex]
The standard equation of the ellipse is [tex]\frac{(x-4)^{2}}{31}+\frac{(y+6)^{2}}{81} = 1[/tex].
c) The lengths of the axes are, respectively:
Major semiaxis ([tex]a[/tex]): [tex]a = 9[/tex]
Minor semiaxis ([tex]b[/tex]): [tex]b = \sqrt{31}[/tex]
Answer:
a) The location of the center of the ellipse is . It is determine by knowing the location of foci and Midpoint formula.
b) The standard equation of the ellipse is .
c) Major semiaxis (): , Minor semiaxis ():
Step-by-step explanation:
A teacher is planning a class trip to the aquarium. The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, and how many are for students?
Answer:
75 student tickets and 10 chaperone tickets
Step-by-step explanation:
First find out how many groups there are total by dividing 85 by 1 group total of 17 (15 students 2 chaperones).
85 / 17 = 5
Since you now know there are five groups of 15 students and 2 chaperones all you have to do is multiply 5 time 15 students and 5 times 2 chaperones.
15 x 5 = 75 for students
5 x 2 = 10 for chaperones
PLS HELP the LAST QUESTION, please...
Answer:
280 Cubic inches
Step-by-step explanation:
When finding the volume, the equation is V=l*w*h
Therefore, the equation should be:
10.1*3.9*6.8
This is equal to exactly 267.852
However, the answer is 280 cubic in. because it's a larger number and it's about 13 from the actual answer. On the other hand, 250 cubic in. is about 17 from the actual number.
Plz help with my math!
Answer:
(-2, 6)
Step-by-step explanation:
Plug in one of the equations into the y-variable (doesn't matter which):
2x + 10 = -4x - 2
Combine like terms by adding the 4x to both sides. This makes it cancel out on the right side, and 2x + 4x on the right side is 6x:
6x + 10 = -2
Combine like terms by subtracting 10 from both sides, making it cancel out on the left side, and on the right: -2 - 10:
6x = -12
Then isolate the x-variable by dividing both sides by 6:
x = -2
Taking the -2, plug it into an x-variable in either of the equations:
y = 2x +10
y = 2(-2) + 10
y = -4 + 10
y = 6
A trapezoid has base lengths of 2.5 inches and 10 inches and an altitude of 8 inches. What is the area of the trapezoid?
Answer: 50 inches
Step-by-step explanation:
HELPPP MEEEE HURRY FIND THE AREA
Answer:
254.34 in^2
Step-by-step explanation:
The Pizza Barn sells one customer 3 large pepperoni pizzas and 2 orders of breadsticks for $30. They sell another customer 4 large pepperoni pizzas and 3 orders of breadsticks for $41. How much does the Pizza Barn charge for each pepperoni pizza and each order of breadsticks
Answer:
Pizzas: $8, Breadsticks: $3
Step-by-step explanation:
1. Write an equation.
Let the variables p = price of pizzas, and b = price of breadsticks
The equation: 3p + 2b = $30 for the first customer. The equation: 4p + 3b = $41 for the other customer.
2. Use the Elimination Method.
(4p+3b=41) x3 = 12p+9b=123
- (3p+2b=30) x4 = 12p+8b = 120
------------------------------------------------
8b = 3
Pizzas: $8
Breadsticks: $3