Shown below is a jar which is in the shape of a right circular cylinder. What is the length of the longest stick that could fit in this jar (without bending or breaking the stick and with no part sticking out)?
Answer:
14.14
Step-by-step explanation:
please find attached a diagram showing the stick and the jar
the length of the longest stick can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 10²
100 + 100 = 200
determine the square root of 200
= 14.14
expand and simplify (3x+4)(2x+3)
Answer:
answer is 6x^2+17x+12
Step-by-step explanation:
3x(2x+3)+4(2x+3)=6x^2+9x+8x+12=6x^2+17x+12
7y - 9 = 2(y - 4) + 1
Answer:
Step-by-step explanation:
Distribution comes first, so:
7y-9 = 2y-8+1
Then you simplify:
7y-9 = 2y-7
Then you subtract or add the lowest number with a letter:
5y-9 = -7
Now you get 5y alone, so we add the 9:
5y = 2
Then you divide 5y = 2 by 5
y = 2/5 or .4
What is one-half the sum of 142 and 8
Answer:
142+8=150
150/2=75
please help...which of the following is an arithmetic sequence?
Answer:
I would say its 0,2,4,6,....
Answer:
0,2,4,6....
Step-by-step explanation:
Since only they have the common difference between them, they are in the arithmetic sequence
Hope it helps you
Please mark as the brainliest
Thank You
2x + 9/3x + 16
X =
= [?]
Perpendicular distance between the base of a triangle and the opposite vertex is called _____of the triangle
Answer:
Median might be the answer or maybe the height?
Grace’s garden is shown below. She is going to buy bags of soil that cover 75 square feet each. How many bags of soil will she need for her entire garden? Use 3.14 for pi.
A. 4 bags
B. 5 bags
C. 6 bags
D. 7 bags
Answer: C. 6 bags
Step-by-step explanation:
To solve this, you need to calculate the area of every shape in the garden and then sum them up.
Semi circle:
Area of semi-circle = (π * radius²) / 2
Radius = Diameter/ 2 = 18/2 = 9 feet
Area = (3.14 * 9²) / 2
= 127.17 ft²
Rectangle:
= Length * Width
= 18 * 8
= 144 ft²
Triangle
= 1/2 * base * height
= 1/2 * 18 * 18
= 162 ft²
Added up:
= 127.17 + 144 + 162
= 427.17 ft²
If each bag covers 75 ft² each, the number of bags needed is:
= Area to cover / Coverage per bag
= 427.17 / 75
= 5.7
= 6 bags
Help please!! Quickly!!
The length of a dog run is twice its width. Its area is 50 square yards.
Find the length and width of the dog run.
Answer:
Length = 10 yards Width = 5 yards
Step-by-step explanation:
2w x w = 50 yards²
2w² = 50 yards²
2w²/2 = 50 yards² / 2
[tex]\sqrt{w^{2} }[/tex] = [tex]\sqrt 25 yards^{2}[/tex]
w = 5
Area = l x w
= 10 x 5 = 50
length = 2w
width = w
length = 2(5)
length = 10 yards
On a number line 8.29 would be located..... choose all answers that make the statement true
A)between 8 and 9
B) between 8.2 and 8.3
C) to the right of 8.39
D) between 8.28 and 8.30
Answer:
B and D
Step-by-step explanation:
D is being more detailed then A
PLEASE HELP!
1.Given the information provided for the right triangles shown here, find the unknown leg lengths to the nearest tenth.
2.The triangle shown here is not a right triangle. What are two different ways you change one of the values so it would be a right triangle? Sketch these new right triangles, and clearly label the right angle.
Answer:
1.
For triangle 1
[tex]a = 3\sqrt{5}[/tex]
For triangle 2
[tex]x = 2\sqrt{2}[/tex]
2.
Way 1
By reducing the length of the side 4 to 3.60
Way 2
By increasing the length of side 7 to 7.21
Step-by-step explanation:
The complete question is attached in the image
Solution
1.
Both the triangles are right angled triangle
For triangle 1
[tex]7^2 = 2^2 + a^2\\49 = 4 + a^2\\a^2 = 45\\a = 3\sqrt{5}[/tex]
For triangle 2
[tex]4^2 = x^2+x^2\\2x^2 = 4*4\\x^2 = 8\\x = 2\sqrt{2}[/tex]
2.
Way 1
By reducing the length of the side 4 to 3.60
Way 2
By increasing the length of side 7 to 7.21
complete out the table for the function f(x) = |x-2|
Answer:
3, 2, 1, 0
Step-by-step explanation:
f(-1) = |-1 - 2| = 3
f(0) = |0 - (-2)| = 2
f(1) = |1 - 2| = 1
f(2) = |2 - 2| = 0
4. The dimensions of a rectangle are multiplied by a factor of 2 to form a new rectangle. Which of the following best describes the relationship between the perimeter of the old rectangle and the perimeter of the new rectangle? a. The perimeter of the new rectangle is half the original rectangle. b. The perimeter of the new rectangle is twice the original rectangle. c. The perimeter of the new rectangle is four times the original rectangle.d. The perimeter of the new rectangle is one-fourth the original rectangle.
Gail works for a vending company. she gets paid $64 per week plus 20% of her total sales. how much will her total sales for the week have to be in order for girl to make at least $200
Answer:
680 sales
Step-by-step explanation:
20% of 680 is 136.
So her 64 for a week plus the 136 from sales is 200.
Hope this helps
Brainliest would be appreciated
find the area of the irregular figure. PLEASE!!
The sides are: 3 in, 4 in, 4 in, 5 in, 7 in, 9 in
geometry
Answer:
A = [84]in^2
Step-by-step explanation:
5 x 3 = 15
4 x 2 = 16
9 + 4 = 13 x 4 = 52
52 + 15 + 16 = 84in
A shirt costs $25. A sweater costs
3
as much as the shirt.
What is the cost, in dollars, of the sweater?
Answer:
28 dollars
Step-by-step explanation:
A shirt cost 25
a sweater Is 3 ”more”
so shirt= 25+ x Sweater: 28
Which statement is true about the factorization of 30x2 + 40xy + 51y2?
O The polynomial can be rewritten after factoring as 10(3x2 + 4xy + 5y2).
O The polynomial can be rewritten as the product of a trinomial and xy.
The greatest common factor of the polynomial is 51x?y2.
The greatest common factor of the terms is 1.
Answer:
The Answer Is That "The Greatest Common Factor Of The Terms Is 1."
Step-by-step explanation:
Took The Test.
The polynomial is factorized and greatest common factor of the terms is 1
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the polynomial be represented as A
Now , the value of A is
A = 30x² + 40xy + 51y² be equation (1)
Now , the expression can be factorized as
The factors of 30 = 1 , 2 , 3 , 5 , 6 , 15 and 30
The factors of 40 = 1 , 2 , 4 , 5 , 8 , 10 , 20 and 40
The factors of 51 = 1 , 17 , 51
Therefore , the greatest common factor is 1
Hence , the factorized form of the equation is A = 30x² + 40xy + 51y²
To learn more about factorization click :
https://brainly.com/question/804076
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What is the solution to the system of equation? Write the x-value or x-coordinate.
7x+2y=24
8x+2y=30
What is the solution to the system of equation in number 1? Write the y-value or the y- coordinate.
Answer:
X = 6, y=-9
Step-by-step explanation:
7x + 2y =24 equation 1
8x + 2y=30 equation 2
-1(7x + 2y)=-1(24) multiply equation 1 by -1 to eliminate y
-7x-2y=-24 equation 1 multiplied by -1
8x+2y=30 equation 2
x+0=6 add above 2 equations
x=6
solve for y
7x + 2y=24
7(6) + 2y=24
42 + 2y =24
2y=-18
y=-9
check answers
8x + 2y=30
8(6) + 2(-9)=30
48-18=30
30=30
7x + 2y = 24
7(6)+2(-9)=24
42-18=24
24=24
hello pls help me. khan academy sucks
Answer:
straight angle
i think straight angle is right answer
The coaches at Dobie High School recorded the number of miles ran by various students. What is the difference between the number of students who ran 2 and a half or three miles and the number of students who ran one or one and a half miles?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as a table or chart that shows the required data is not given.
To answer this, I will make use of the following frequency table
[tex]\begin{array}{cccccc}{Miles} & {1} & {1\frac{1}{2}} & {2} & {2\frac{1}{2}} & {3} \ \\ {Students} & {10} & {0} & {5} & {10} & {5} \ \end{array}[/tex]
From the above table.
[tex]2\frac{1}{2}\ miles \to 10\ students[/tex]
[tex]3\ miles \to 5\ students[/tex]
So:
[tex]2\frac{1}{2}\ or\ 3\ miles = 10+5[/tex]
[tex]2\frac{1}{2}\ or\ 3\ miles = 15\ students\\[/tex]
From the above table.
[tex]1\ miles \to 10\ students[/tex]
[tex]1\frac{1}{2}\ miles \to 0\ students[/tex]
So:
[tex]1\frac{1}{2}\ or\ 1\ miles = 0+10[/tex]
[tex]1\frac{1}{2}\ or\ 1\ miles = 10\ students[/tex]
The difference (d) is then calculated by subtracting the number of students in both categories
[tex]d = 15\ students - 10\ students[/tex]
[tex]d = 5\ students[/tex]
A line passes through points (-3,5) and (2,-10) which equation represents the line
Answer:
y=-3x-4
for the line that passes through the points
help me with my math please
The sixth grade class went to a family fun center. out of the 154 students, 85 played laser tag. A total of 80 students roller skates and 39 of those played laser tag.
Answer:
Whats the question?
Step-by-step explanation:
Four fifths of the 35 kittens finish their milk how many did not finish their
Answer:
7 kittens did not finish their milk
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
PLEASE HELP! In a film study, a sample of 300 movies was found to have an average runtime of 116 minutes with a standard deviation of 15 minutes. What is the margin of error for any sample of movie runtimes with 90% confidence (z=1.64)?
Answer:
The answer is 1.42!!!!!!
Step-by-step explanation:
A man sold two computers for Rs 24000 each on one ne
gained 20% and on the other he lost 20%. find his gain oras
percentage of his whole transaction
Find the value of x in the given
right triangle.
12
x = [?]°
х
5
Enter your answer as a decimal rounded to the
nearest tenth.
Answer:
65°
Step-by-step explanation:
to find angles, use the inverse trig function (in this case, tan^-1)
tan^-1(5/12)
Answer:
65.4
Step-by-step explanation:
What is the distance between (0, 0) and (0, - 9) on the vertical line
Answer:
Step-by-step explanation:
what
Answer: 22
Step-by-step explanation:
Jason begins at the start of a path and rides his bike 11 12 miles on the path. The path is 12 14 miles long. Enter the distance, in miles, Jason must ride to reach the end of the path. Show your work.
Answer:
Number of miles remaining for Jason to reach end of the path = 3/4 miles
Step-by-step explanation:
Total distance of the path = 12 1/4 miles
Distance reached by Jason's bike on the path = 11 1/2 miles
Enter the distance, in miles, Jason must ride to reach the end of the path.
Number of miles remaining for Jason to reach end of the path = Total distance of the path - Distance reached by Jason's bike on the path
= 12 1/4 miles - 11 1/2 miles
= 49/4 - 23/2
= (49-46) / 4
= 3/4 miles
Number of miles remaining for Jason to reach end of the path = 3/4 miles
Find the Surface Area of the figure. *
1 point
Step-by-step explanation:
A=2πrh+2πr^2
=2×22/7×3×6+2×22/7×3^2
=113.14+56.57
=169.71 m^2
Step-by-step explanation:
r = 3 cm
h = 6 cm
S. Area = 2πr² + h(2πr)= 2 × 3.14 × 3² + 6 (2 × 3.14 × 3)
= 56.52 + 113.04
= 169.56 cm²
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