Answer:
Expression: [tex]\pi(\frac{D}{2})^{2}h-\pi(\frac{d}{2})^{2}h[/tex]
Volume: [tex]339.29cm^{3}[/tex]
Step-by-step explanation:
The formula for the volume of a cylinder is: [tex]\pi r^{2}h[/tex]. Since we are given the diameters instead of the radius, we divide the diameters by 2 to get the radius.
∴ The expression for the volume of the large cylinder after the hole was removed is [tex]\pi (\frac{D}{2})^{2}h - \pi(\frac{d}{2})^{2}h[/tex]
Approximate volume:
Substitute the numbers in:
[tex]\pi(\frac{8}{2})^{2}\times9-\pi(\frac{4}{2})^{2}\times9=339.29cm^{3}[/tex] (to the second decimal place)
∴ The volume of the big cylinder after removing the cylindrical hole is approximately [tex]339.29cm^{3}[/tex]
write a translation rule that maps point d(7 -3) onto point d'(2 5)
Answer:
translate (x,y) (x-5,y+8)
A road starts at sea level and climbs steadily, reaching an elevation of 2000 feet after 8 miles, as shown in the diagram.
8 mi
5 mi
2000 ft
Note: Figure is not drawn to scale.
What is the elevation in feet of the road 5 miles from the starting point?
A. 1000
B. 1250
C. 750
D. 1500
Answer:
I think the answer is 1500
Step-by-step explanation:
Elevation of the road at 5 miles from the starting point is 1250 ft.
Similarity of triangles: If two triangles are similar, their corresponding sides will be proportional.
Given in the question,
Two triangles formed by a road are ΔADE and ΔABC (As shown in the figure attached).
Since, ∠A ≅ ∠A (Reflexive property)
∠AED ≅ ∠ACB (right angles)
ΔADE ~ ΔABC (By A-A property of similarity)
In these similar triangles, corresponding sides will be proportional.
[tex]\frac{AB}{BC}=\frac{AD}{DE}[/tex]
[tex]\frac{8}{2000}=\frac{5}{DE}[/tex]
[tex]DE=\frac{5\times 2000}{8}[/tex]
[tex]=1250[/tex] miles
Therefore, elevation of the road at 5 miles from the starting point will be 1250 ft.
Option (B) will be the answer.
Learn more about the similarity of the triangles here,
https://brainly.com/question/20826545?referrer=searchResults
The turning of a figure or object about a fixed point is called:
Given that ABCD is a rhombus, what is the value of x?
(3x + 7)
A. 18.25
B. 20.75
C. 30
D. 64
E. 86
F. Cannot be determined
Answer:
The answer is
B. 20.75
Answer:b.20.75
Step-by-step explanation:
big brain knowledge
Dividing Rational Expressions
Answer:
[tex] \frac{6}{(x + 2)} [/tex]
Step-by-step explanation:
[tex] \frac{2x + 2}{x + 2} \div \frac{4 {x}^{2} +8 x + 4}{12x + 12} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{4( {x}^{2} + 2x + 1) }{12(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{( x + 1)^{2} }{3(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \times \frac{3(x + 1)}{ {(x + 1)}^{2} } \\ \\ = \frac{6 {(x + 1)}^{2} }{(x + 2) {(x + 1)}^{2} } \\ \\ = \frac{6}{(x + 2)} [/tex]
Ace plays please help me with it...
Answer:
[tex]a=\sqrt{55}[/tex] or [tex]7.146[/tex]
Step-by-step explanation:
Find the last side of the triangle using the Pythagorean theorem.
Math Problem will give brainliest! If you say something random i will get you banned.
Answer: I can’t figure this one out because I’m only in 8th grade.
Step-by-step explanation:
Answer:wh0re
Step-by-step explanation:
Natalie and Juan collect marbles. The number of marbles that Natalie has is 4 more than 3 times the number of marbles Juan has. If m represents the number of marbles Juan has, which of the following expressions represents the number of marbles Natalie has?
A. 4m + 3
B. 3m + 4
C. 3m – 4
D. 4m – 3
5/4 ÷ 10 = ?
(hhhhhh... ignore this part, reaching the minimum amount of characters)
PLEASE HELP W MATH QUESTION !!!
( WILL MARK BRANLIEST )
Answer:
2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 5, - 1 ] , thus
f(b) = f(- 1) = - (- 1)² - 4(- 1) + 6 = - 1 + 4 + 6 = 9
f(a) = f(- 5) = - (- 5)² - 4(- 5) + 6 = - 25 + 20 + 6 = 1 , then
average rate of change = [tex]\frac{9-1}{- 1-(-5)}[/tex] = [tex]\frac{8}{4}[/tex] = 2
Find the slope of the line: i’ll give brainliest :)
picture above ^^
Help pls!?right answer I’ll give you a crown
Answer:
1.5
Step-by-step explanation:
Which statement correctly compares the function shown on this graph with the function y= 6x - 1? y 10 8 6 4 2 -10 8 6 4 2 -2 2 4 6 8 10 2 6
A. The function shown on the graph has a greater rate of change and a higher starting point. A
B. The function shown on the graph has a smaller rate of change and a lower starting point.
C. The function shown on the graph has a smaller rate of change, but a higher starting point.
D. The function shown on the graph has a greater rate of change and a lower starting point.
Answer:
B. The function shown on the graph has a smaller rate of change and a lower starting point.
Step-by-step explanation:
✍️The function y = 6x - 1, has:
slope (m) = 6, and
Starting point/y-intercept (b) = -1
✍️Let's find the slope (m) and the starting point (y-intercept) of the function shown on the graph:
Using the points, (0, -6) and (2, 4),
Slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 -(-6)}{2 - 0} = \frac{10}{2} = 5 [/tex]
Slope (m) = 5
The strating value is the value of y when x = 0. In order words, it is the point at which the line of the function intercepts the y-axis.
The y-axis is intercepted at y = -6.
Therefore, the starting value (b) = -6.
Therefore, the statement correctly compares the function shown on the graph above with the function y = 6x - 1 is:
B. The function shown on the graph has a smaller rate of change and a lower starting point.
Comparing their slopes, 5 is smaller than 6.
Comparing their starting points, -6 is lower than -1.
Answer:
B
Step-by-step explanation:
Correct on a p e x
solving 2 step equations k/9 -1=10
Answer:
99
Step-by-step explanation:
k/9=10+1
k/9*9=11*9(cancel division 9 to multiplication 9)
k=99
Solve.
one-thirds – 6 < 24
Answer:
90
Step-by-step explanation:
Determine type of triangle
Answer:
isosceles right
Step-by-step explanation:
two same side and right angle
Answer:
Hey buddy, here is your answer. Hope it helps you.
Step-by-step explanation:
It is isosceles right triangle as two sides have same meausurement and right angle because 1 angle is 90 degrees
Graph the line.
y=-4x+4
Graph the line.
y=-4x+4
Graph the line.
y=-4x+4Graph the line.
y=-4x+4Graph the line.
y=-4x+4Graph the line.
y=-4x+4Graph the line.
y=-4x+4
So you want to finance a car for $4,840. Let’s say we offer you a 4.5% interest rate on a 2-year loan and 6% on a 5-year loan. Enter this info into the calculator to see your monthly and total cost by loan term.
Answer:
Totals: 4.5% = 435$ 6% = 1452$, Monthly: 18$, 24$
Step-by-step explanation:
PLS HELP GIVING BRAINIEST
Answer:
Yes, it is proportional
Step-by-step explanation:
the equation for the table is
x ÷ 28 = y
plug in the numbers for the variables
56 ÷ 28 = 2
84 ÷ 28 = 3
140 ÷ 28 = 5
Which decimal is the largest?
A.0.02
B. 0.2
C. 0.19
D. 0.029
HURRRYYYYYYY
Answer:
It's B!
Step-by-step explanation:
Paul rolls a fair dice 132 times.
How many times would Paul expect to roll a three?
The probability of getting 3 in 132 times is 22.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Given that, Paul rolls a fair dice 132 times.
The probability of getting 3 in one roll is 1/6
so now it is 132 rolls
so,
= 132/6
= 22
Hence, The probability of getting 3 in 132 times is 22
For more references on probability, click;
https://brainly.com/question/11234923
#SPJ2
help with this slope
Answer:
slope is 4
Step-by-step explanation:
rise over run lol
Question 8 of 9
HELP PLEASE!!Translate the phrase into a variable expression. Use the letter c to name the
variable. If necessary, use the asterisk (*) for multiplication and the slash
(/) for division
the product of 16 and the number of chipmunks...
Answer here
SUBMIT
The algebraic expression of the statement is 16c
How to rewrite the statement?The statement is given as:
the product of 16 and the number of chipmunks
Product means *
So, we have:
16 * the number of chipmunks
The number of chipmunks is represented with c
So, we have
16 * c
Evaluate
16c
Hence, the algebraic expression of the statement is 16c
Read more about algebraic expression at:
https://brainly.com/question/19245500
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What is the distance from A to b
A (0,2)
B (4,5)
Answer:
4 to the right and 3 upward
or 7 overall
Step-by-step explanation:
4-0=4
5-2=3
distance parcouru par une balle de famas
Answer:
4005 mètres de distance.
Step-by-step explanation:
Two linear functions are shown. Which function has the greater initial value?
Answer:
The answer is Function A
Step-by-step explanation:
Trust me its correct
pls mark me as brainliest
Answer:
we conclude that function A has a greater initial value.
Step-by-step explanation:
As we know that the initial value is obtained by setting x=0
so
Given the function A
From function A, it is clear that at point x=0, the value of y=8
i.e.
at x=0, y=8
Given the function B
[tex]y=3x+4[/tex]
substitute the value x=0 to get the initial value of function B
[tex]y=3x+4[/tex]
[tex]y=3(0)+4[/tex]
[tex]y=0+4[/tex]
[tex]y=4[/tex]
i.e.
at x=0, y=4
Therefore, we conclude that function A has a greater initial value.
Can someone help me plz ASAP
Answer:
x=35
Step-by-step explanation:
simple equstion x+40+3x=180 then subtract forty combine the two X's and divide by 180
MATH HELP PLEASEE!! MARKING BRANLISTT! D:
Answer:
the one with the empty circle
brainliest.pls
Answer:
open circle going to the left so your answer is B
Evaluate f(x) = x2 – 12 when x = 5
Answer:
f(5) = 13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function notation and substitutionStep-by-step explanation:
Step 1: Define
f(x) = x² - 12
x = 5
Step 2: Evaluate
Substitute: f(5) = 5² - 12Exponents: f(5) = 25 - 12Subtract: f(5) = 13Answer:
13
Step-by-step explanation:
replace the x with 5.
5^2-12=
25-12=13
The points in the table lie on a line. What is the slope of the line?
X
-8
-2
4
10
у
8
1
1
-6
-13
The slope of the line is
24