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 :)
What is one possible set of dimensions of a cone that has the same volume as the cylinder? Explain
your reasoning
Answer:
Cone that has 3 times the height, but the same base
Step-by-step explanation:
The formula for cone's volume is 1/3bh while cylinder is just bh
A.3/4
B.4/3
C.-4/3
D.-3/4
I need help so bad pls
can someone help me??????
Answer:
25.2
Step-by-step explanation:
Volume of container: 2x3x5=30
0.84x30=25.2
The diameter of a circle is 40 m. Find the area of the circle in terms of π. 40π m2 80π m2 400π m2 160π m2
Answer:
[tex]400\pi m^2[/tex]
Step-by-step explanation:
If the diameter is 40, the radius is 20.
The area is 400π
directions for constructing the centroid of a triangle?
Step-by-step explanation:
1.Draw a triangle
2. Measure one of the sides of the triangle
3. Place a point at the midpoint of one of the sides of the triangle.
4. Draw a line segment from the midpoint to the opposite vertex. The segment you just created is called a median.
5. Repeat steps 2-4 for the remaining two sides of the triangle.
Express x^2+4x-7 in the form (x+a)^2-b where a and b are integers
Answer:
(x + 2)^2 - 11.
Step-by-step explanation:
f(x) = x^2 + 4x - 7
Now x^2 + 4x = (x + 2)^2 - 4 so we have:
f(x) = (x + 2)^2 - 4 - 7
f(x) = (x + 2)^2 - 11.
Here, we are required to express x² + 4x - 7 in the form (x+a)² - b and determine the values of a and b.
The values of a and b are 2 and 11 respectively.By completing the square method;
a = (4/2) = 2.
Therefore, by expanding (x+a)² i.e (x+2)²
We therefore have; x² + 4x + 4
However, the question is given as x²+4x-7
Therefore, by comparison between;
x² + 4x + 4 and x²+4x-7; we have;
4 - b = -7, b = 7+4
Ultimately, b = 11
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25 POINTS!!!!Which of the following statements are true? Select all that apply.
The product of B and D is negative.
The quotient of A and C is positive.
= A ∙
The quotient of 0 and F is undefined.
A ∙ D = -E ∙ D
Answer:
then 0 and f have to be positive.
Step-by-step explanation:
Mark me brainlest.
Answer:
Its A and C and F
Step-by-step explanation:
WILL GIVE BRAINIEST!! In triangle PQR, PQ = 13, QR = 14, and PR = 15. Let M be the midpoint of QR. Find PM.
Answer:
6.5
Step-by-step explanation:
If M is the midpoint of PQ, PM is congruent to MQ. Midpoint means middle. So, the midpoint divides PQ in half. PQ = 13, and 13/2 = 6.5.
If In triangle PQR, PQ = 13, QR = 14, and PR = 15. M is the midpoint of QR. PM is: 12 cm.
Triangle PQRIn △PQR
M=Midpoint of side QR
PM =Median of the iangle
Using Apollonius theorem
PQ ² +PR ² =2PM ² +2QM ²
13²+14²=2PM ² +2(1/2QR) ²
169+196=2PM ²+2(6)²
169+196=2PM ²+2(36)
365=2PM ²+ 72
2PM ²=293
Divide both side by 2
PM ²=293/2
PM ²=146.5
PM=11.97 cm
PM=12 cm (Approximately)
Therefore PM is 12 cm.
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PLEASE HELP! FIRST CORRECT ANSWER WILL MARK BRAINLIEST!
A grocer wishes to blend two different coffee brands in order to make a blend of 400 pounds to sell at $3.00 a pound. If he uses a brand of coffee worth $2.70 a pound with another brand worth $3.20 a pound, how many pounds of each does he use?
Answer:
160 pounds at 2.70
240 pounds at 3.20
Step-by-step explanation:
Let x be the pounds and 2.70 per pound
400-x is the pounds and 3.20 per pound
there will be 400 pounds and 3.00 per pound
2.70 x + (400-x) *3.20 = 400 *3
Distribute
2.70x +1280-3.20x = 1200
Combine like terms
-.5x +1280 = 1200
Subtract 1280 from each side
-.5x = -80
Divide each side by -.5
x = -80/-/5
x =160
160 pounds at 2.70
400-160 = 240 pounds at 3.20
the sum of two numbers is 90 .the larger number is 14 more than 3 times the smaller number.
Answer:
The numbers are 19 and 71.
Step-by-step explanation:
Let x and y represent the two numbers. Then x + y = 90.
Also, if we assume that the larger number is y, then y = 3x + 14.
We must solve this system of linear equations. Since we already have the result of solution for y (y = 3x + 14), let's use the substitution method to find the solution:
x + y = 90 becomes x + 3x + 14 = 90, or:
4x = 76. Thus, x = 76/4, or 19. If x = 19, then y = 3(19) + 14, or y = 71.
The numbers are 19 and 71.
Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.
What is the equation in point slope form of the line that is perpendicular to the given line and passes through the point -4, -3
Answer:
y=x^2+7x+12
Step-by-step explanation:
Triangle A B C is reflected and then dilated to form smaller triangle A double-prime B double-prime C double-prime Which transformations could have occurred to map △ABC to △A"B"C"? a rotation and a dilation a rotation and a reflection a reflection and a dilation a translation and a dilation
Answer:
a reflection and a dilation
Step-by-step explanation:
in the wording, it was stated that the triangle was reflected then dilated.
The correct answer is translation and a dilation
What are the various types of transformation?There are various types of transformations that can be applied to a coordinate point. The new point could become compressed/enlarged, reflected, rotated, etc.
How to solve this problem?The steps are as follow:
Given Δ A"B"C" is smaller than Δ ABCWhich means that sides of ΔABC are dilated i.e compressed to give the sides of Δ A"B"C"Also , Δ A"B"C" is at right to ΔABC which means that ΔABC was translated i.e shifted to give ΔA"B"C"So the correct answer will be translation and a dilation
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Use the triangle below, set up and solve an equation in order to find the
value of x. (Type the number only).
Answer:
27.4
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
x+ 34.6+118 = 180
Combine like terms
x+152.6 = 180
Subtract 152.6 from each side
x +152.6-152.6 = 180-152.6
x =27.4
_________________________________
Solution,
x+118+34.6=180°( sum of angle in traingle)
or,x+152.6=180
or,X=180-152.6
X=27.4
The value of X is 27.4 °
hope it helps
Good luck on your assignment
_________________________________
PLS HELP my homework is due tomorrow
Answer:
for 1 its -0.25 and 1.25
for 2 its -0.5. and 1.5
Step-by-step explanation:
idk if there is, but just use the graph + common sense.
you don't need to solve it in any way
Which statement about this figure is true?
a. it has rotational symmetry with an angle of rotation of 90°
b. it has no reflectional symmetry
c. it has reflectional symmetry with two lines of symmetry
d. it does not have symmetry point
Answer:
a. it has rotational symmetry with an angle of rotation of 90°
Step-by-step explanation:
A hemisphere has a radius of 8 centimeters. If a cone whose diameter is the same and whose height is equal
to the radius of the hemisphere removed, what volume remains of the hemisphere?
(1) 483 cubic centimeters
(2) 536 cubic centimeters
(3) 589 cubic centimeter
(4) 614 cubic centimeters
Answer:
The volume remaining is approximately 536 cm³
Step-by-step explanation:
The volume of a hemisphere is the volume of the sphere divided by two, therefore it's formula is:
[tex]\text{volume hemisphere} = \frac{4}{6}*pi*r^3\\\text{volume hemisphere} = \frac{4}{6}*pi*8^3 = 1072.33 \text{ } cm^3[/tex]
While the volume of the cone is:
[tex]\text{volume cone} = \frac{\pi*r^2*h}{3}\\\text{volume cone} = \frac{\pi*(8)^2*8}{3}\\\text{volume cone} = \frac{\pi*512}{3} = 536.1651 \text{ } cm^3[/tex]
What remains on the hemisphere is the difference between these volumes, therefore:
[tex]\text{remaining volume} = 1072.33 - 536.17 = 536.16 \text{ } cm^3[/tex]
The volume remaining is approximately 536 cm³
I need help on this 10j< – 10
Answer:
j<-1
Step-by-step explanation:
10j<-10
divide both sides by 10 and get
j<-1
Answer:
[tex]j < - 1[/tex]
Step-by-step explanation:
[tex]10j < - 10 \\ \frac{10j}{10} < \frac{ - 10}{10} \\ = j < - 1[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
which inequality is represented by this graph ?
Answer:
D
Step-by-step explanation:
The point is on 4 so it cannot be A or B, and it is a closed circle not an open circle so it cannot be C.
Answer:
x≥4
Step-by-step explanation:
There is a closed circle at 4 which means there is an equal to sign and the lines goes to the right which means greater than
x≥4
Allie and Samuel are rock climbing
*Allie climbs 5 1/2 meters in the first 1/4 hour.
*Samual climbs 14 1/4 meters in the first 3/4 hour.
each person's rate stays the same for the first hour they climb.
Part A
Which statements are true?
Select all that are Correct.
A. Samuel climbs at a rate of 19 hours per hour
B. Allie takes 1/22 of an hour to climb one meter.
C. Allie climbs at a rate of 1/22 meter per hour
D. Samuel climbs at a rate of 1/19 meter per hour
E. Samuel takes 1/19 of an hour to climb one meter
Answer:
A and E
Step-by-step explanation: I done this before
The statements that are true are:
Allie takes 1/22 of an hour to climb one meter.
Samuel takes 1/19 of an hour to climb one meter.
Options B and E are correct.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numberator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
For Allie.
She climbs 5(1/2) meters in 1/4 hour.
This means,
11/2 meters = 1/4 hour
22 meters = one hour
Rate = 22 meters per hour.
We can also say,
To climb one meter, she takes 1/22 of an hour.
For Samuel.
He climbs 14(1/4) meters in 3/4 hour,
This means,
57/4 meters = 3/4 hour
19 meters = one hour
Rate = 19 meters per hour.
We can also say,
To climb one meter, he takes 1/19 of an hour.
Thus,
Allie takes 1/22 of an hour to climb one meter is true.
Samuel takes 1/19 of an hour to climb one meter is true.
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This year,a small business had a total revenue of 89,100. If this is 32% more than their total revenue the previous year, what was their total revenue the previous year
Answer: 60588
Step-by-step explanation:
= 89100 x 0.68
= 60,588
let g(x)=3x+2. Find g(x) if x=5. The value of g(x) is ____ if X=5
Answer:
g(5)=17
Step-by-step explanation:
g(x)=3x+2
Let x = 5
g(5) = 3*5+2
= 15+2
= 17
Answer:
17
Step-by-step explanation:
Just substitute 5 into the position of X
Simplify the expression:
3x (4x-6)
—————
2x(3x)
Answer:
[tex]=\frac{2x-3}{x}[/tex]
Step-by-step explanation:
[tex]=6x^2\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{3x\left(4x-6\right)}{2x\cdot \:3x}\\2x\cdot \:3x=6x^2\\=\frac{3x\left(4x-6\right)}{6x^2}\\\mathrm{Cancel\:}\frac{3x\left(4x-6\right)}{6x^2}:\quad \frac{4x-6}{2x}\\=\frac{4x-6}{2x}\\\mathrm{Factor}\:4x-6:\quad 2\left(2x-3\right)\\=\frac{2\left(2x-3\right)}{2x}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=\frac{2x-3}{x}[/tex]
I don’t need you to explain just answer.
Y-intercept:
To find the y-intercept, where the line crosses the y-axis, you need to find the value of y when x is 0.
Slope:
To find the slope of the line, use the equation:
(y₂ - y₁)/(x₂ - x₁)
where (x₁, y₁) is one point on the line and (x₂, y₂) is a different point on the line.
Equation:
y = (y-intercept) + x(slope)
William, Nancy, and Edgar met at the lodge at 8 AM. William began hiking west at 3 mph. At 10 AM Nancy began hiking north at 5 mph and Edgar went east on a three wheeler at 12 mph. At what time was the distance between Nancy and Edgar 10 miles greater than the distance between Nancy and Willam? ____:____ AM/PM
Answer:
12:00 AM
Step-by-step explanation:
Taking the lodge as the center of the coordinate system, the position of each person is:
William: 6+3*t
Nancy: 5*t
Edgar: 12*t
where t is in hours after 10:00 am
Between the positions of William and Nancy, a right triangle is formed, where their distance is the hypotenuse.
WN = √[(5*t)² + (6+3*t)²]
Similarly, Between the positions of Nancy and Edgar:
NE = √[(5*t)² + (12*t)²]
If the distance between Nancy and Edgar is 10 miles greater than the distance between Nancy and Willam, then
NE = WN + 10
√[(5*t)² + (12*t)²] = √[(5*t)² + (6+3*t)²] + 10
With the help of the graph of this equation, we find that t = 1.95 or approximately 12:00 AM
Which of the following best represents 43?
A number between ____ and ____.
A. 7 and 8
B. 8 and 9
C. 5 and 6
D. 6 and 7
Answer:
D
Step-by-step explanation:
If you mean the sqrt of 43, then
sqrt 36 is 6
sqrt 49 is 7,
since sqrt of 43 is between sqrt 36 and sqrt 49,
sqrt of 43 is between 6 and 7
which phrase best describes a theorem in an axiomatic system?
Answer:
The best phrase that describes a theorem in axiomatic system is :
A statement proven to be true using logic
Axiomatic system is a set of axiom in which the axioms are derived from logic
hope this helps
Answer:
A statement proven to be true using logic
Axiomatic system is a set of axiom in which the axioms are derived from logic
what is the standard form of 7+3i/2-5i
Answer:
-1/29+41/29*i
Step-by-step explanation:
(7+3i)/(2-5i)=(7+3i)(2+5i)/(2-5i)(2+5i)=(14+35i+6i+15i^2)/(4-25i^2)=
(14+41i-15)/(4+25)=(-1+41i)/29=-1/29+41/29*i
What is the equation of a line, in standard form, for the line with slope 5 and a y-intercept of -4?
a) 5x + y - 4 = 0
b) 5x - y + 4 = 0
c) 5x - y - 4 = 0
d) 5x + y + 4 = 0
Answer:
Option c
Step-by-step explanation:
Converting all options into slope intercept, you get
a) y=-5x+4
b) y=5x+4
c) y=5x-4
d) y=-5x-4
option c has slope 5 and y-intercept -4
equation of the line that passes through (2, -1) and has a slope of
-5
Find the difference quotient of f; that is, find StartFraction f left parenthesis x plus h right parenthesis minus f left parenthesis x right parenthesis Over h EndFraction comma h not equals 0 comma for the following function. f left parenthesis x right parenthesis equals negative 4 x plus 6
Answer:
-4
Step-by-step explanation:
Given the following function:
f(x) = -4x + 6
We have to find the difference quotient of f(x); that is,
[f(x + h) - f(x)]/h
So, we ned to compute f(x + h) as follows:
f(x+h) = -4(x+h) + 6 = -4x - 4h + 6
Replacing into the difference quotient, we get:
[f(x + h) - f(x)]/h = [-4x - 4h + 6 - (-4x + 6)]/h
[f(x + h) - f(x)]/h = [-4x - 4h + 6 + 4x - 6)]/h
[f(x + h) - f(x)]/h = [- 4h)]/h
[f(x + h) - f(x)]/h = -4
