Answer:
r = 3.95 mm (nearest hundredth)
Step-by-step explanation:
[tex]\textsf{volume of a cylinder} = \pi r^2h[/tex]
(where r = radius and h = height)
Given, volume = 686 mm² and height = 14 mm:
[tex]686=\pi r^2\times14[/tex]
[tex]\implies\pi r^2=686 \div14=49[/tex]
[tex]\implies r^2=49 \div \pi[/tex]
[tex]\implies r=\sqrt{49 \div \pi }=3.949327085...[/tex]
[tex]\implies r=3.95 \ \textsf{mm}[/tex]
(please answer if you know how to do this, it's due today !!) Solve for x, y and z. No links please
Answer:
x = 4
y = 2√5
z = 3√5
Step-by-step explanation:
There are 3 right triangles here, so we can create 3 expressions using Pythagoras' Theorem:
a² + b² = c²
(where a and b are the legs, and c is the hypotenuse)
smallest triangle: x² + y² = (x + 2)²
medium triangle: (x + 1)² + y² = z²
largest triangle: (x + 2)² + z² = (x + x + 1)²
rewrite the smallest triangle expression to make y² the subject:
x² + y² = (x + 2)²
⇒ x² + y² = x² + 4x + 4
⇒ y² = 4x + 4
rewrite the medium triangle expression to make z² the subject, substituting y² = 4x + 4:
(x + 1)² + y² = z²
⇒ (x + 1)² + 4x + 4 = z²
⇒ x² + 2x + 1 + 4x + 4 = z²
⇒ z² = x² + 6x + 5
rewrite the largest triangle, substituting z² = x² + 6x + 5 and solve for x:
(x + 2)² + z² = (x + x + 1)²
⇒ (x + 2)² + x² + 6x + 5 = (2x + 1)²
⇒ x² + 4x + 4 + x² + 6x + 5 = 4x² + 4x + 1
⇒ 2x² - 6x - 8 = 0
⇒ x² - 3x - 4 = 0
⇒ (x + 1)(x - 4) = 0
⇒ x = -1, x = 4
as x > 0, x = 4 only
Substitute found value for x into y² = 4x + 4 and solve for y:
y² = (4 x 4) + 4
⇒ y² = 20
⇒ y = √20 = 2√5
Substitute found value for x into z² = x² + 6x + 5 and solve for z:
z² = 4² + (6 x 4) + 5
⇒ z² = 45
⇒ z = √45 = 3√5
How much would it cost for Mr. John to replace the tile in his kitchen if the cost for the tile is $1.50 per square foot? (Think about what shape the kitchen is to find the area of it)
Answer:
214.50
Step-by-step explanation:
A = lw
13 x 11 = 143 (13 is a guess)
143 x 1.50 = 214.50
im not 100 % but give it a try
hope this helps
pls mark brainliest
-6u > -42 u is greater than what?
simplify
-6u>-42
switch signs when dividing negative numbers
u<7
so, u is actually smaller than 7
Find the value of x. PLS HELP ASAP!!!!!
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
the base length is 32
But we need the base angle for the x triangle so we say
[tex] \frac{32}{2} = 16[/tex]
[tex]20 = hypothenus \\ 16 = adjacent \\ [/tex]
[tex]opposite \: =[/tex]
[tex] {opp}^{2} + {adj}^{2} = {hyp}^{2} [/tex]
[tex] {opp}^{2} + {16}^{2} = {20}^{2} [/tex]
[tex] {opp}^{2} = {20}^{2} - {16}^{2} \\ {opp}^{2} = 400 - 256 \\ {opp}^{2} = 144 \\ opp = \sqrt{144} \\ opp = 12 \\ x = 12[/tex]
Elizabeth coal ltd has total assets of $8,000,000, common stock of $4,200,000, and liabilities of $1,200,000. What is the amount for retained earnings?.
Based on the information given the amount of the retained earning is $2,600,000.
Retained earningUsing this formula
Retained earning=Total assets - Common stock - Liabilities
Where:
Total assets=$8,000,000
Common stock=$4,200,000
Liabilities=$1,200,000
Let plug in the formula
Retained earning=$8,000,000-$4,200,000-$1,200,000
Retained earning=$2,600,000
Inconclusion the amount of the retained earning is $2,600,000.
Learn more about retained earning here:https://brainly.com/question/25631040
What is the correct expanded form and value of 5
o (13)
4
1 1 1
O 5+5+5+5
+
1 1 1 1 1
5'5'5'5625
...
1+1+1+1
5.4
4
20
1
5
4
5
Answer:
The answer is the second option
solve by factoring mystery picture student work. can someone solve this our find the answer key
Answer:
Here are the ones I've figured out
Step-by-step explanation:
I have yet to do the full-on picture. And for the picture thing, I don't know where to start. But I hope this helps you out in the meantime.
Micah jogs on a path at the park at 5 miles per hour. He has jogged 2 miles when Luke starts running on the same path at 5 miles per hour. If they maintain their pace, when will Luke catch up to Micah?
Answer:
no because micah started before and they are running at the same pace.
Step-by-step explanation:
If they maintain their pace, Luke will not catch up to Micah because the gap of the 2 miles will be maintained.
What is the application of subtraction?In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
It is given that Micah jogs at a 5 mph pace along a park trail. Luke begins running on the same path at a speed of five miles per hour after he has jogged two miles.
After 2 kilometers of jogging by Micah, Luke begins running along the same route. Luke moves at a 5 mph speed.
Because Micah and Luke move at the same speed. There will be a 2-mile separation between them. Luke will not catch up to Micah
Thus, if they maintain their pace, Luke will not catch up to Micah because the gap of the 2 miles will be maintained.
Learn more about the application of subtraction here:
brainly.com/question/15345330
#SPJ2
Luzia ran the 400‑meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?
Answer:
53.5 sec
Step-by-step explanation:
avg = 54
(56.3+52.3+x)/3 = 54
56.3+52.3+x = 54*3=162
108.5+x = 162
x = 162-108.5=. 53.5
Answer:
53.5 sec
Step-by-step explanation:
Hope its right
Conditional statements that are always true are called:.
Answer:
A conditional statement is considered true when the antecedent and consequent are both true or if the antecedent is false. When the antecedent is false, then the truth value of the consequent does not matter; the conditional will always be true.
hope this helped!!
What is the rate of change for the line represented by the equation?
x=-4
Answer:
Undefined
Step-by-step explanation:
Given that the equation [tex]x=-4[/tex] is a vertical line that intersects the x-axis at [tex]x=-4[/tex], there is only a change in [tex]y[/tex], but no change in [tex]x[/tex]. Thus, the rate of change is undefined since you cannot divide by 0.
six times a number is 21 less than nine times the same number
Answer:
7
Step-by-step explanation:
6*7=42
9*7=63
63-42
Answer:
number is 7
Step-by-step explanation:
let the number be n , then
6n = 9n - 21 ( add 21 to both sides )
21 + 6n = 9n ( subtract 6n from both sides )
21 = 3n ( divide both sides by 3 )
7 = n
That is the number is 7
Complete the multiplication problem to find the answer.
25.1
x 2.4
1004
5020
O A. 602.4
O B. 6024
O C. 60.24
D. 62.04
Answer:
it is C.60.24. You are right
Rhonda has a square with a perimeter of less than 50cm. what length could the sides be?
What is the prime factorization of 200?
Answer:
2 and 5.Step-by-step explanation:
As we use prime factorization for 200, we get 2 × 2 × 2 × 5 × 5 = 200. So, the only prime factors of 200 are 2 and 5.
Answer:
5*5*2*2*2
Step-by-step explanation:
200 divided by 2 is 100. 100 divided by 2 is 50. 50 divided by 2 is 25. 25 divided by 5 is 5
Please help me math and Thanks
Answers:
Point in the original figure: (-7, 3)
Point in the final figure: (-2, 3)
===============================================
Explanation:
To translate 5 units to the right, we add 5 to the x coordinate. The y coordinate stays the same.
The symbolic way to write the rule would be to say [tex](x,y) \to (x+5, y)[/tex]
The original point is at (-7, 3). We add 5 to the x coordinate -7 to get -7+5 = -2. The y coordinate is 3 the whole time for both points.
That's how we go from (-7,3) to (-2,3)
Answer:
give examples and word for word equation
Ryan has $967.32 in his bank account. He writes checks for his bills: $13.78, $112.63, $29.74, and $329.52. How much money does Ryan have after paying his bills?
Answer:
481.65
Step-by-step explanation:
You like add all the expenses together to like give you a total amount. Once you have the total expense you like minus it from the money at hand
the perimeter of a rectangular pool is 5656 meter. if the length of the pool is 1616 meter then find its width
pls explain full
Answer:
Length= 1616 m
Perimeter= 5656 m
= 2X L+ B
Breadth= Perimeter- Length /2
= 5656m - 1616 m
= 4040 /2
= 2020 m
Please mark as Brainliest
what are the roots of the polynomial equation
Answer:
-4 or -3
Step-by-step explanation:
Calculate the determinant:
D = b^2 - 4ac = 49 - 48 = 1
Apply the formula:
x = (-b +- sqrt(D))/2a = (-7 +- 1)/2 = -4 or -3
what is 143x 69 PLS ANSWER ASAP
Answer:
Step-by-step explanation:
143x 69
Divide 143 to both sides
143x = 69
--------------- = 2.07
143 143
Solve for t.
t
3
= 4
Answer:
r = 12
Step-by-step explanation:
Step 1: Multiply both sides by 3.
(t/3) × 3 = 4 × 3t = 12Step 2: Check if solution is correct.
12/3 = 44 = 4Have a lovely rest of your day/night, and good luck with your assignments. ♡
Answer:
t = 12
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
[tex]3*\frac{t}{3}=3*4[/tex]
[tex]t=3*4[/tex]
Multiply the numbers
t = 12
[RevyBreeze]
math question: 1 1/2x=6
Answer:
10
Step-by-step explanation:
um I pretty sure that's the answer but i could be wrong
why is it important to represent fractions in division with models?
Answer:
Fractions help children understand the nature of numbers and their interactions (e.g., the meaning of division). If a child doesn't understand how fractions work, it will interfere with his ability to learn algebra later.
Step-by-step explanation:
hope it helps you
can you help me please.
Answer:
Step-by-step explanation:
i got this exact same question on a 9th grade math test. the answer is A
find the length of arc AB. use 3.14 for π. round to the nearest tenth
Answer:
12.4cm
Step-by-step explanation:
Find the value of x.
(please show how you solved the problem if you're able to! :D)
Answer:
x= 45
Step-by-step explanation:
90+45=135
180(sum of angles in triangle) - 135=45
The distance around a circular pen 20π ft. What is the exact area of the pen? Leave your answer in terms of π in order to get an exact answer.
Answer:
r=10cm (assuming the units to be in cm ). The area of a circle is given by formula: πr2. Where, π has a constant value of ≈3.14
Marsha notices that all of her siblings are more than 5 foot 2 inches tall but at most 6 foot 1 inch tall. Write an inequality or pair of inequalities to represent all possible values, in inches, for Marsha’s siblings heights. Graph this set of values on the number line.
Answer:
first make everything inches so you have at least 62 inches and at most 73 inches, now create it.
Step-by-step explanation:
62<x<=73
Answer: 62 < x [tex]\leq[/tex] 73
Step-by-step explanation:
5 feet and 2 inches all in inches would be 62 (12 inches per foot, multiplied by five equals 60, add 2). 6 feet and 1 inch would be 73 inches (12 inches per foot, multiplied by six equals 72, add 1).
Since this inequality has words such as "more than" we have to use # < x. But since at most also applies, we have to use x [tex]\leq[/tex] #.
All her siblings are over 62 inches, so 62 < x. Remember the at most 73 inches, which would be 73 [tex]\geq[/tex] x. We can conclude that the inequalities would be expressed as 62 < x [tex]\leq[/tex] 73.
I need help again………….
Solve x/2 - 2 = 5x =...
Answer:
4/9
Step-by-step explanation: