Answer: 3.66 cm
Step-by-step explanation: Given a rectangular casing BCDE with segment DE = 3 cm and segment BE = 3.5 cm.
The area A of a rectangle is length multiply by width.
Where length L = 3.5 cm and
width W = 3 cm
Area A = 3.5 × 3 = 10.5 cm^2
The pipe that will fit the fiber optic line is in cylindrical shape. Where area of a cylinder = πr^2.
But area A = 10.5. Substitute the values for the area of the cylinder
10.5 = πr^2
10.5 = 3.143 × r^2
Make r^2 the subject of formula
r^2 = 10.5/3.143
r = sqrt ( 3.34225 )
r = 1.828
Diameter = 2 × radius
Diameter = 2 × 1.829
Diameter = 3.656 cm
Therefore, the smallest diameter of pipe that will fit the fiber optic line is 3.66 cm approximately.
Answer:
4.24 cm
Step-by-step explanation:
pythagorean theorem
a^2+b^2=C^2
3^2+3^2=18
square root of 18 =4.24
hope this helped :)
PLEASE HELP ASAP- What is the quotient of the integers closest to the square root of 254 and the square root of 62?
Answer:
2
Step-by-step explanation:
sqrt(254) is in between 15 and 16, closer to sqrt(256), which is 16
sqrt(62) is in between 7 and 8, closer to sqrt(64), which is 8
thus 16/8 is 2
solve for v: 3/5 v= 1/5
Answer:
Step-by-step explanation:
solve for v: simplifying both sides of the equation, then the variable.
Exact Form:
v= 1/3
Decimal Form:
v=0.3
Need help with #12 pls explain
The histogram shows the number of fish caught one weekend by members of a fishing club. Which statement is best supported by this histogram?
Seven people caught 5 fish.
One person caught more than 5 fish.
Between 3 and 5 people caught 5 fish.
Everyone caught at least 2 fish.
Answer:
Between 3 and 5 people caught 5 fish.
Step-by-step explanation:
Hope that helps
Answer:
Between 3 and 5 people caught fish
Step-by-step explanation:
Because it is the highest bar
Somebody please help me please
Answer:
The correct sign is : <
Step-by-step explanation:
3.126 *10^2 is greater than 31260000*10^-9 by 312.56874
Answer: <
Step-by-step explanation:
10^-9 = .00000001
Multiply
31,260,000 * .00000001 = .3126 * 10^0 (1)
10^2 = 100
Multiply
3.126 * 100 = 312.6
.3126 * 10^0 < 3.126 * 10^2
Martin was given this expression to simplify: 23x + xy – y + 3y + 5 – 20x + 6xy He simplified the expression to: 43x + 7xy −3y What were Martin’s errors? Check all that apply. The combined coefficients of the x terms should be 3x, not 43x. The 7xy should be –7xy. The coefficients of the y terms have been multiplied. When you combine like terms, you add or subtract the coefficients. The constant was left off. The terms xy and 6xy are not like terms because there are two variables.
Answer:
Step-by-step explanation:
23x + xy - y + 3y + 5 - 20x + 6xy = 23x - 20x + xy + 6xy -y + 3y + 5
= 3x + 7xy + 2y + 5
Errors:1) The combined coefficients of the x terms should be 3x, not 43x
2) The coefficients of the y terms have been multiplied.
3) The constant was left off.
Answer:
1,3,4
Step-by-step explanation:
Simplify the following expression.
(9x+ 2) + 5x
Answer:
14x+2
Step-by-step explanation:
9x+5x+2
14x+2
is a diameter of circle O. If m∠ACB = 30°, what is m∠DBA? A. 30° B. 50° C. 60° D. 70° E. 90°
Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:
DBA = 180 - 90 - 30
DBA = 60
The measure of the angle ∠DBA will be 60°. Then the correct option is C.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The diagram is given below.
BD is the diameter of circle O. If m∠ACB = 30°.
We know that the central angle is double the angle at the periphery that was subtended by the same chords.
∠AOB = 2∠ACB
∠AOB = 2 x 30
∠AOB = 60°
We know that the triangle AOB is an equilateral triangle, in which each angle will be 60°.
Thus, the measure of the angle ∠DBA will be 60°.
Then the correct option is C.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ2
Which function equation is represented by the graph? f(x)=12(4/3)x f(x)=12(1/2)x f(x)=12(3/2)x f(x)=12(2/3)x
it’s d; f(x)= 12 (2/3)^x
What is the measure of the obtuse angle?
Answer:
The measure of and obtuse angle is 180°
Step-by-step explanation:
obtuse angles are more than 90°but less than 180°
Which is a zero of the quadratic function f(x) = 9x2 - 54x – 19?
x= 1/3
x=3 1/3
Answer:
x =1/3
Step-by-step explanation:
the zero quadratic function is x=1/3
The radius of an orange is 1.5 inches.
What is the volume of the orange?
Use 3.14 for pi.
Enter your answer, as a decimal, in the box.
Answer:
14.14
Step-by-step explanation:
V=4
3πr3=4
3·π·1.53≈14.13717
6) A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of those seats. What is the probability that the next person will be assigned to an aisle seat?
11) At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday?
13) An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, explain in words why 15 is closest to the probability that the next customer will pay cash.
14) A store owner made a list of the number of greeting cards sold last month. The store sold 167 thank-you cards, 285 birthday cards, and 56 blank cards. Based on these data, write a decimal, rounded to the tenths place to show the probability that the next customer will buy a blank card.
what is 9y5−4y3−8y7−5y6+3y4 written in standard form?
Answer:
-8y^7 - 5y^6 + 9y^5 + 3y^4 - 4y^3
Step-by-step explanation:
Please be sure to use " ^ " to indicate exponentiation. Then,
your 9y5−4y3−8y7−5y6+3y4 becomes 9y^5 - 4y^3 - 8y^7 - 5y^6 + 3y^4.
We must now write that in descending order by powers of y:
-8y^7 - 5y^6 + 9y^5 + 3y^4 - 4y^3
Simplify -3+i/7 + i
First, multiply both the numerator and
denominator by___.
A. -3 + i
B. -3 - i
C. 7 + i
D. 7 - 1
Answer:
D. 7 - i
Step-by-step explanation:
(-3+i)/(7 + i)=
(-3+i)(7-i)/(7+i)(7-i)=
(-21+10i+1)/50=
(10i-20)/50=
0.2i-0.4
HELP NOW
3600 dollars is placed in an account with an annual interest of 9% How much will be in the account after 25 years to the nearest cent !!
Answer:
A = $ 31,043.09
A = P + I where
P (principal) = $ 3,600.00
I (interest) = $ 27,443.09
Step-by-step explanation:
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
what is the inverse of the function y=4x+5
Answer:
the answer for this question is (y-5)/4=x
True or False? The following is an example of a proportion:
The temperature is 43 degrees at 8 A.M. and 65 degrees at 11 A.M.
True
False
Answer:
Step-by-step explanation:
is a CR grade good or bad?
on a piece of paper, graph y=3/4x-3. use the gtaph to find the x intercept of the line
Answer:
the intercept is 3/4
Step-by-step explanation:
it's the number in front of the x lol
Can I get some help on this question?
f f (x) = StartFraction x minus 3 Over x EndFraction and g(x) = 5x – 4, what is the domain of (f circle g) (x)?
Answer:
f(g(x))=5-(7/x)
Step-by-step explanation:
f(x)=(x-3)/x
g(x)=5x-4
f(g(x))=((5x-4)-3)/x
f(g(x))=(5x-7)/x
f(g(x))=(5x/x)-7/x
f(g(x))=5-(7/x)
Solve by taking the square foot of both sides.
3(x+3)2 - - 81 = 0
x=-3-3-3 or – 3+3 / 3
b x = -3- 613 01-3+63
a.
c. x = 3-3301 3+33
d x-3-3-301-3+3.3
Answer:
x = - 12, x = 6
Step-by-step explanation:
Given
(x + 3)² - 81 = 0 ( add 81 to both sides )
(x + 3)² = 81 ( take the square root of both sides )
x + 3 = ± [tex]\sqrt{81}[/tex] = ± 9 ( subtract 3 from both sides )
x = - 3 ± 9
Thus
x = - 3 - 9 = - 12
x = - 3 + 9 = 6
What are the domain and the range of this function?
D : _ _ x: _ _
R: _ _ Y: _ _
for a test
d: -5_<x<1
r: -4_<y<7
D: negative five is less than or equal to x is less than one
R: negative four is less than or equal to y is less than seven
Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?
A. x = 0
B. y = 0
C. x = 1
D. y = 1
Answer:
Option D
Step-by-step explanation:
A horizontal line has no slope. The equation 'y=1' graphs as a horizontal line. It passes (0,1). So, it touches the y-axis.
A line with an undefined slope does not touch the y-axis. It is vertical.
Option D should be the correct answer.
Find the sum of the measures of the exterior angles of a convex 65-gon.
Answer:
Answer is below
Step-by-step explanation:
The sum of the measures of exterior angles on any shape is always 360 degrees.
If you meant to say the sum of the measures of the interior angles of a convex 65-gon, then it would be 11340 degrees.
(n-2)(180) Substitute
(65-2)(180) Subtract
(63)(180) Multiply
11340
Sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]
An exterior angle is an angle between a side of a polygon and an extended side adjacent to it.
A polygon refers to any closed curve comprised of a set of connected sides such that no two sides cross.
Convex [tex]\boldsymbol{65-}[/tex]gon means a convex polygon with [tex]\boldsymbol{n}[/tex] sides.
The sum of measures of any polygon is equal to [tex]\boldsymbol{360^{\circ}}[/tex]
So, the sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]
For more information:
https://brainly.com/question/20557865?referrer=searchResults
There are 615 people in a population. Is 55 people enough for a sample?
ANSWER ASAP
Answer: Yes
if the selection is randomly picked and it's within the statistical population.
Step-by-step explanation:
Sampling is the random selection of objects within the statistical data or population.
This random selected individual will represent the whole population.
If there are 615 people in a population, 55 people will be enough for a sample if the selection is randomly picked and it's within the statistical population.
Which of the following is a correct interpretation of the expression -4 + 13−4+13minus, 4, plus, 13?
Answer:
Step-by-step explanation:
-4 + 13 - 4 + 13 - 4 + 13
9 - 4 + 13 - 4 + 13
5 + 13 - 4 + 13
18 - 4 + 13
14 + 13
27
Can anyone help me out please
Answer:
5/23
Step-by-step explanation:
if you turn "3 8/5" into a mixed number you would get 23/5 then you would flip the numbers to get 5/23
Hope this helps!!! :)
||x-5|+2|<=3
please help
Answer:
x e [-10,-4]
Step-by-step explanation:
||x-5|+2|≤3
|x+5+2|≤3
|x+7|≤3
x+7≤3
x≤-4
x+7≥-3
x≥-10
x e [-10,-4]
