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.
Best Answer gets brainly!Thanks for helping :D
Answer:
x < 3
Step-by-step explanation:
The line is moving to negative so the number is less than 3
the white circle (or opened circle) indicates that we do NOT include that number so it is x < 3
Spencer was able to drive his car 420 miles on 12 gallons of gas. At this rate, how many miles could he drive on 15 gallons of gas.
Answer:
525 miles
Step-by-step explanation:
420/12=35
35x15=525
Order the set of numbers from least to greatest:
Answer:
It is already in the correct order
Easy make sure its detailed 15 points
9514 1404 393
Answer:
no square roots: -1000, -8one square root: 0two square roots: 8, 64, 1000no cube roots: <none>one cube root: -1000, -8, 0, 8, 64, 1000two cube roots: <none>Step-by-step explanation:
The attached graph shows the square root relation (red) and the cube root function (blue). The function values are shown for x=0 and x=±8.
You can see that there are 2 square roots for positive numbers, one square root for 0, and 0 square roots for negative numbers. There is exactly 1 cube root for any number.
no square roots: -1000, -8one square root: 0two square roots: 8, 64, 1000no cube roots: <none>one cube root: -1000, -8, 0, 8, 64, 1000two cube roots: <none>_____
Additional comment
We call the square root curve a "relation" because it is not a function. A relation that is a function will have only one y-value for each x-value. For positive x-values, there are two square roots.
A fish starts at -13 meters and changes -17 meters
Answer:
The fish is at -13 meters and changes -17 meters.
-13-17 = -30
The fish ends at -30 meters.
Let me know if this helps!
Determine which ordered pair is a solution of y=−3x+3.
(1, –6)
(–5, 18)
(9, –2)
(–4, –9)
Please Help. Pre calc
Establish the Identity : sec u +tan u =cos u/1-sin u
Answer:
I hope this helps :)
Step-by-step explanation:
Answer:
may be the guy is correct
pretend like i said sumn funny
Answer:
ok hahahahahahahahahha
Answer:
laughs
Step-by-step explanation:
State of the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Answer:
SSS, UVD, the answer is D
Step-by-step explanation:
90/9 = 10
70/7 = 10
80/8 = 10
triangle LMN congruent triangle UVD
Cameron is making hiking snacks. He has 4 bags and puts 1 1 5 pounds of trail mix in each bag. How many total pounds of trail mix does Cameron have?
Answer:
460 pounds
Step-by-step explanation:
total pounds of trail mix = number of bags x total pounds in each bag
4 x 115 = 460 pounds
line R when plotted passes through the points (1,-3) and (5,9). When Line S crosses line R it forms right angles which of the following must be the slope of line S?
1) 3/2
2) -2/3
3) 3
4) -1/3
A complex shape made of two rectangles. The bottom rectangle has measurements 3 meters by 4 meters. The top rectangle has measurements 3 meters by 2 meters plus 4 meters plus 2 meters. Side A B is opposite of the side with measurements 2 meters, 4 meters, 2 meters. What is the distance from point A to point B? 8 m What is the perimeter of the shape?
The length of the side opposite to points A and B is 8 m
The perimeter of the shape is 18 m.
What is the distance from point A to point B?The length of the side opposite to points A and B, is 2 meters and 4 meters and 2 meters.
Length of AB = 4 m + 2 m +2 m = 8 m.
The perimeter of the complex shape by adding the lengths of all its sides;
Perimeter = length of AB + length of BC + length of CD + length of DA
Length of BC = length of the bottom side of the top rectangle = 3m
Length of CD = length of the top side of the top rectangle = 3 m.
Length of DA = length of the bottom side of the bottom rectangle = 4 m.
The perimeter of the complex shape is calculated as follows;
Perimeter = 8 m + 3 m + 3 m + 4 m
Perimeter = 18 m.
Learn more about perimeter here: https://brainly.com/question/19819849
#SPJ1
What’s the missing side length?
Answer:
14 cm
Step-by-step explanation:
this is because of the far left side of the shape being 6cm and as well as with the 8 cm from one side of the shape being another component to the origin of the side length, this would give us the equation 6 + 8 with out sum coming out to 14 cm being identified as the right unknown length.
Find the principal amount invested if the amount in a quarterly compounded account with a 3.07% interest rate is $5,993.79 after 66 months
Answer:
$5065.8332
Step-by-step explanation:
Given that :
Compound interest formula :
A = P(1 + r/n)^nt
t = period in years
n = number of compounding times per period, quarterly = 12/3 = 4
A = 5,993.79
r = 0.0307
t = 66 months = 66/12 = 5.5
5,993.79 = P(1 + 0.0307/4)^4*5.5
5,993.79 = P(1.007675)^22
5,993.79 = 1.1831795P
P = 5,993.79 / 1.1831795
P = 5065.8332
Hence, principal amount = $5065.8332
tenth term of 4n-3
thank you
4n - 3 = 4 * 10 - 3 = 40 - 3 = 37
....
Answer:
tenth term =(4×10)-3
=40-3
=37
En su empresa, María se encarga de comprar el material de ferretería. Necesita una llave para unos tornillos de cabeza cuadrada de 50 mm de lado. ¿Qué área tendrá el hueco de la llave que encaje en los tornillos ?
Answer:
De las tablas de datos para tornillos estándar y tamaños de orificios de llave, de un sitio web globalfastner basado en ASME B 18.2.1 tenemos;
El tamaño máximo del cuerpo y, por lo tanto, el orificio de un perno cuadrado de un mínimo de 1.944 pulgadas (aproximadamente 50.65 mm) es de 1.3750 pulgadas (aproximadamente 34.925 mm).
Step-by-step explanation:
Terry did all 25 problems on the test and got an 85. Scores are computed by giving 4 points for each right answer and subtracting 1 point for each wrong answer
Answer:
There are 25 questions and Terry got 3 of them wrong and 22 correct
Step-by-step explanation:
4 * 22 = 88
88 - 3 = 85
22 + 3 = 25
4. An extension ladder is leaned up against a building to reach a window that is 16.1 feet
from the ground. The base of the ladder is 10 ft from the building.
a How long is the ladder if it is fully extended?
b. What is the angle that the ladder makes with the ground?
C. What is the angle of the ladder with the building?
Answer:
a) ~18.95ft
b) ~58°
c) ~32°
Сколько членов
Последовательность задана формулой Сn=15/
n+ 2
Сколько членов этой последовательности больше 3?
Pánfilo tiene una finca de 48 hectareas, si vende 2/3 y alquila 3/4 del resto. Además, si él desea sembrar, ¿cuantó terreno le queda a Pánfilo disponible para la siembre?
-Identifica los datos del problema.
-Identifica el procedimiento a utilizar.
-Utiliza correctamente el procedimiento.
-Interpreta la respuesta obtenida.
Compare lengths. Write >, <, or = .
22 ft __ 7 yd 11 in.
Leilani hung a triangular pennant for her favorite baseball team in her room as shown below.
If the area of Leilani’s pennant is 82.65 in.2, what is the measure of the base in inches?
Answer:
Step-by-step explanation:
recall the area of a triangle is Area = 1/2* Base* height
then we know the height, and the area solve for the base
I'll do the algebra symbolically so you can see how
A = 1/2 *B * H ( start here)
2A/H = B ( move to here )
Now plug in what you know on the left side
2*82.65/17.4 = base
9.5 = base :)
20 POINTS
Verify which of the following are identities.
1) 8 cos theta tan theta csc theta=8
Answer:
a) Only the first one is an identity.
Step-by-step explanation:
1). 8 cos O tan O csc O = 8 simplifies to:
cos O tan O csc O = 1
cos O * (sin O / cos O) * (1 /sin O)
= cos O sin O / cos O sin O
= 1
So it is identity.
2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O
= 13 sec^2 O - tan^2 O / cos^2 O
Now sec^2 O = 1 + tan^2 O, so we have:
(13( 1 + tan^2 O) - tan^2 O) / cos^2 O
= (12 tan^2 O + 13) / cos^2 O
This is not always = 2 so its not an identity.
if sin theta is 4/5, what is sec theta
Answer:
sin=24/=x
Step-by-step explanation:
Answer:
5/3
Step-by-step explanation:
it will be 5 /3
sec theta will be hypotanus/ Adjacent
Give P(-1, 8) and Q(5,12), and MN is the image of PQ under a translation of T
If the coordinates of M, the image of P, are (11,4), the coordinates of N are?
Answer:
If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'? ... Q. Point P is graphed at (4,5) shown on the grid below.
Step-by-step explanation:
Graham deposited $400 in an account that earns 5% annual compounded annually. How much interest will the account earn after 4 years, if he makes no withdrawals or deposits?
PLEASE SHOW YOUR WORK!!!!
WILL MARK BRAINLIEST!!!
Answer:
$480 total or 80$ in interest
Step-by-step explanation:
5 percent of 400 is 20
20 x 4 = 80
400+ 80= 480
he will make $480 after 4 years
A person goes to a store to buy a trolley bag. The bag costs $5000. Two deals are offered to the person. The first deal offers a discount of $500 and the second deal offers a discount of 20%. Which is a better deal?
Answer:
20% off is better
Step-by-step explanation:
because 20% of 5000 is 1000
and 1000 is greater than 500
hope this helps!!!
20% discount
Step-by-step explanation:
20% of 5000 is 1000
which would mean they would only pay 4000$
and that is less than 5000-500=4500
HELP ME PLS IM AWARDING BRAINLIEST!
Answer:
(4th option) 254.34 cm
Step-by-step explanation:
Area of a circle = pi (r)^2
r=radius of circle which is half of diameter.
diameter=12+6=18
So, radius is half of 18 = 9
Plug it into the formula:
[tex]\pi (9)^{2}[/tex]
And you should get 254.34 cm^2
Answer:
Step-by-step explanation:
area of a circle is pi * r^2
r for the big circle is 1/2 of 18 or 9
pi * 9^2 = 254.469
The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is x3/2. What is the value of b
Answer:
uhm it should be b=x5/2
Step-by-step explanation:
luciana was making $10 per hour. She just got raise and now makes $10.50 an hour. What was the percent increase in her hourly wage?
Answer:
just 50 cence increase
Step-by-step explanation:
