Answer:
8,138.88 mm³
Step-by-step explanation:
Volume of a cylinder = πr²h
Where,
π = 3.14
Radius, r = 9 mm
Height, h = 32 mm
Volume of a cylinder = πr²h
= 3.14 × (9 mm)² × 32 mm
= 3.14 × 81 mm² × 32 mm
= 8,138.88 mm³
Volume of a cylinder = 8,138.88 mm³
Quantity of pepper that will fit in the shaker = 8,138.88 mm³
I need help! would appreciate it
Answer:
stay safe healthy and happy....If ABCD is a square, and the area covered by the blue equilateral triangle is 49√3cm², what will be the area covered by the yellow region (in cm²)?
a. 139
b. 98
c.42
d. 154
no spam answers please!
49√3 = √3/4 a²
49×4 = a²
a = 7×2
a = 14 cm
Side of equilateral triangle = Side of square ABCD = 14cm
Area of square ABCD = a²
A = 14×14
A = 196 cm²
Now diameter of circle = side of square = 14cm
Radius = D/2 = 7 Cm
There are two half circle in the square = one whole circle
Area of circle = πr²
A = 3.14 ×7 ×7
A = 153.86
Area of yellow region = Area of square - Area of circle
Area of yellow region = 196 - 153.86 = 42.14 Cm²
The area covered by the yellow region (in cm²) in the given diagram is 42cm². The correct option is c.42
From the question, the area of the blue equilateral triangle in the given diagram is 49√3cm².
The area of an equilateral triangle can be calculated by finding half the product of the square of a side (all sides are equal in an equilateral triangle) and sin 60° (each interior angle of an equilateral triangle is 60°)
Hence, the area of the blue triangle is given by
[tex]A = \frac{1}{2}/AB/^{2}sin60\°[/tex]
Where A is the area
Therefore,
[tex]49\sqrt{3} = \frac{1}{2}/AB/^{2}sin60\°\\2 \times 49\sqrt{3} = /AB/^{2} \times \frac{\sqrt{3} }{2}[/tex]
[tex]2 \times2 \times 49\sqrt{3} = /AB/^{2} \times \sqrt{3}[/tex]
[tex]196 \sqrt{3} = /AB/^{2} \times \sqrt{3}[/tex]
∴ [tex]/AB/^{2} = \frac{196 \sqrt{3} }{\sqrt{3} }[/tex]
[tex]/AB/^{2} = 196[/tex]
∴ [tex]/AB/ = \sqrt{196}[/tex]
[tex]/AB/ = 14cm[/tex]
Hence, the length of a side of the square is 14 cm and the diameter of the circle is also 14 cm (since the length of a side of the square cuts the circle into equal halves, hence it is the diameter)
Area covered by the yellow region = Area of the square - ( sum of the areas of the two semicircles)
Sum of the areas of the two semicircles = Area of one circle
Area of a circle is given by the formula
[tex]A = \pi r^{2}[/tex]
But r = d/2
where r is radius and d is diameter
∴ r = 14/2 cm
r = 7cm
Hence
Area of the circle = [tex]\pi \times 7^{2}[/tex]
A = [tex]49\pi[/tex]
Taking π = 22/7
∴ A = [tex]49 \times \frac{22}{7}[/tex]
A = 154cm²
This is the sum of areas of the two semicircles
Now, for the area of the square
Area of the square = /AB/²
∴ Area of the square = 196 cm²
Now, as stated earlier,
Area covered by the yellow region = Area of the square - ( sum of the areas of the two semicircles)
∴ Area covered by the yellow region = 196 cm² - 154cm²
Area covered by the yellow region = 42cm²
Hence, the area covered by the yellow region (in cm²) in the given diagram is 42cm²
The correct option is c.42
Learn more on area of shapes here: https://brainly.com/question/24220654
What is the rate of Change in y=8x - 4
Answer:
The slope or rate of change is 8
Step-by-step explanation:
There isn't much to explain, sorry! I hope this helps!
Carlos and Clarita were asked to write y=2x2+4x-6 in factored form.
What do you think?
Answer:
2(x+3)(x-1)
Step-by-step explanation:
Because 2x^2+4x-6 can be divided by 2, you can divide them by two. This would make the equation 2(x^2+2x-3). To factor this, you have to find two equation that would make it true. The equation have to be _+_=2 and _x_=-3. The two blanks would be 3 and -1. 3+-1=2 and 3x-1=-3. This means that the equation is 2(x-1)(x+3).
If you need an explanation tell me but if this answer helped you, pls mark as brainliest
How do I solve this problem?
Step-by-step explanation:
Note 12 is the difference between the numbers..
hope it helps
15 points, Trigonometric ratios. Please write your answers as it says on the mandate, Thanks!
Step-by-step explanation:
sec X = WX/XY = 37/12 = 3 1/12
or 3.083
Veronica and Helga both have collections of trading cards.
Veronica has 752 trading cards.
Veronica has 16 times as many trading cards as Helga.
If Veronica and Helga put their cards together, how many cards would there be?
Gisella has 4 pints of chicken broth. She uses 5 cups of the broth to make soup.
How much chicken broth is left?
Answer:
3 cups would be left or 1.5 pints.
Step-by-step explanation:
1 pint is equal to 2 cups.
A PE class has 48 students. One group of 24 students chooses to play volleyball. The teacher then divides the
remaining students into as many groups of 5 as possible to shoot baskets. After that the remaining students (not
on a volleyball or basketball team) climb the rock wall.
How many students climb the rock wall?
students
Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of students who climbs the rock wall is 4.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The total number of students in the class is 48, out of these 48 students, 24 students choose to play volleyball. Therefore, the remaining students are 24 (48-24).
Students remaining after volleyball
= Total number of students - Number of students who play volleyball
= 48 - 24 = 24
Now, The teacher then divides the remaining students into as many groups of 5 as possible to shoot baskets. Therefore, the teacher divides the remaining 24 students into 4 groups of 5 people. After this, the number of students that are remaining is 4(24-20).
Students remaining after basketball
= Total number of students - Number of students who shoot basketball
= 24 - (4x5)
= 24 - 20 = 4
Further, the remaining students go for climbing the rock wall.
Hence, the number of students who climbs the rock wall is 4.
Learn more about Subtraction:
https://brainly.com/question/1927340
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If you buy a car for $349,985 and the car salesman gets 1/20 of the price of the car. How much will he get?
Answer:
$17499.25
Step-by-step explanation:
349,985*0.05=17499.25
1/5(6+3+1){2
answer the question
Answer:
The answer is 4 to the equation
You spin a spinner labeled 1-10 evenly. what are the chances you will get an odd number?
Answer:
1/2
Step-by-step explanation:
Please help me y’all!!
Answer:
d
Step-by-step explanation:
hope this helps
3800 divided by 4, I know it’s 950 but I need to know how to get 950
Given the following equation, solve for x.
y = mx+b
Answer:
c
.......................
Lori had $126.89 in her bank account. She deposited $21.49 into it and then wrote a check for her car repairs for $156.61.
What was the ending balance in her account?
O -$51.21
O $8.23
O $8.23
O $51.21
What is the answer?
Answer:
-8.23
Step-by-step explanation:
If Lori had $126.89 in her bank account and she deposited $21.49, she would be adding that to the amount of money in her bank account.
126.89+21.59= 148.48
Then subtract the amount of money the repairs costed.
148.48 - 156.61 = -8.23
Therefore Lori would have a balance of -$8.23.
Answer:
Lori had $126.89 in her bank account.
She deposited $21.49 into it and then wrote a check for her car repairs for $156.61
126.89+ 21.49=148.38
148.38-156.61=−8.23
the answer is -8.23
Solve the system by eliminating one of the variables by addition or subtraction
2x-y=4
3x+y=6
Answer:
(2,0)
Step-by-step explanation:
2x-y=4 equation 1
3x+y=6 equation 2
5x=10 eliminate y by adding equations
x=2
solve for y
2x-y=4
2(2)-y=4
4-y=4
-y=0
y=0
check answer:
3x+y=6
3(2)+0=6
6=6
PLS HURRY
Jaime rode her bike 5 miles north to the park to meet a friend. Then they rode east to the library. If Jaime's house is 13 miles from the library, about how far is the library from the park?
The distance from library and the park is 12 miles.
What is trigonometric Ratios?"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".
For the given situation,
Jaime ride her bike in north = 5 miles
Jaime ride her bike in east = 13 miles
The distance from library and the park be x.
The below diagram shows about the Jaime's riding.
The distance from library and the park can be find by using Pythagoras theorem,
[tex]Hypotenuse^{2} = Perpendicular^{2} + base^{2}[/tex]
On substituting the above values,
⇒ [tex]13^{2} = 5^{2}+x^{2}[/tex]
⇒ [tex]x^{2} =169-25[/tex]
⇒ [tex]x^{2} = 144[/tex]
⇒ [tex]x=\sqrt{144}[/tex]
⇒ [tex]x=12[/tex]
Hence we can conclude that the distance from library and the park is 12 miles.
Learn more about trigonometric ratios here
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Gordon types 3,024 words in 42 minutes. Find the unit rate.
Answer:
72 words per minute
Step-by-step explanation:
[tex]\frac{1}{y}= \frac{42}{3024}[/tex]
42 × y = 1 × 3024
42y = 3024
42y ÷ 42 = 3024 ÷ 42
y = 72
Angela is buying a dress that is on sale for 20% off. If the original price of the dress is $40.00, how much money is Angela saving on the dress?
A. $0.80
B. $8.00
C. $3.20
D. $32.00
Ruby started off her savings account with $100, and $0 in her checking account. She made $95 washing dishes and deposited it into her checking account. She bought a soda for $2 and then transferred $50 into her savings account. How much money is in each account now?
(Note: when you make purchases, like buying a soda, it comes out of your checking account)
A. She has $100 in savings and $95 in checking
B. She has $143 in her savings account and $50 in checking
C. She has $150 in savings and $43 in checking
D. She has $193 in savings and $0 in checking
Answer:
150+93=241
Step-by-step explanation:
I'm not sure if this is correct but i guess because she got 95 and deposited it into her checking she has 95 and judging on if she spent 2 dollars from her savings or checking i assumed it was savings which leaves it with 148 from 100 after depositing 50 - 2 = 148 so basically
edit: nvm i saw the note now im sure but something i dont understand is that if she made 95 how come the answer choices dont say 93 in checking so im guessing you meant 150+43=193
193 is your answer sorry lol took me a while to work this out or Answer choice C
important question need help
Answer:
options 3 and 4
Step-by-step explanation:
The exponential function f with base a is defined by
f(x) = a^x
so the exponential functions are options 3 and 4
write -5.6 x 10^-3 in standard form?
Answer:
-0.0056
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/math/scientific-notation-converter.php
Find the area of the shaded sector. Round to the nearest hundredth
Answer:
54.98 sq. ft.
Step-by-step explanation:
The sector has an angle of 360 - 332 = 28
Area of the sector = 28π([tex]15^{2}[/tex])/360
= 19792.03372.../360
= 54.98 sq. ft.
3x-8y=24
y=x-8
Please show
work
Answer:
3x - 8y = 24 --------(1)
y = x - 8 ---------(2)
substitute y in (1)
3x - 8( x - 8) = 24
3x - 8x + 64 = 24
-5x = 24 - 64
-5x = -40
5x = 40
x= 8
substitute x in (2)
y = 2 - 8
y = - 6
Answer:
x = 8, and y = 0
Step-by-step explanation:
We can solve this by taking y as (x-8), as it states there.
Since y is equal to x-8, we can rearrange the system of equations into one single equation.
We can multiply y by 8, as it shows in the first equation, which is something like 8x-64.
Since it is a negative 8 being multiplied by y, it would be the inverse of 8x-64, which is -8x+64.
We can now organize our equation here.
3x - 8x + 64 = 24.
We can use subtraction property of equality by subtracing 64 from both sides to get rid of it.
We will get something like:
3x - 8x + 64 - 64 = 24 - 64.
Simplify by solving like terms like the x value and the integers.
-5x = -40
Divide both sides with division property of equality:
-5/5x = -40/5
x = 8
We can then plug the 8 back into x, lets use the second equation because I'm lazy and it looks the easiest to solve for.
y = (8) - 8
y = 0
Therefore, x = 8, and y = 0.
Here are two rectangular prisms:
K
L
6
5
4
5
5
5
1 Which figure do you think has the longer diagonal? Note that the figures are not drawn to scale
2. Calculate the lengths of both diagonals. Which one is actually longer?
Answer:
hey there buddy
Step-by-step explanation:
How many inches are equal to 12 cm ?
Answer:
12/2.54 ≈ 4.72 inches
Find positive and negative coterminal
angles for pi over 6
Answer:
11n611 and -n6-n6
Step-by-step explanation:
PLEASE HELP IM GIVING 70 POINTS Figure A is a scale image of Figure B, as shown Х 3 Figure A Figure B The scale that maps Figure A onto Figure B is 1:7- 4
Answer:
stretching trifling preheated prejudicial irresistible
Ava wants to draw a parallelogram on the coordinate plane. She
plots these 3 points.
Part A
Find and label the coordinates of the fourth vertex, K, of the
parallelogram. Draw the parallelogram.
Part B
What is the length of side JK? How do you know?
Answer:
[tex]k =(2,1)[/tex]
[tex]JK = 2[/tex]
Step-by-step explanation:
Given
[tex]J = (0,1)[/tex] ---- [tex](x_1,y_1)[/tex]
[tex]H = (1,-2)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]I = (3,-2)[/tex] --- [tex](x_3,y_3)[/tex]
See attachment for grid
Solving (a): The coordinates of K
The parallelogram has the following diagonals: IJ and HK
Diagonals bisect one another. So:
Midpoint of IJ = Midpoint of HK
This gives:
[tex]\frac{1}{2}(I + J) = \frac{1}{2}(H+K)[/tex]
[tex]\frac{1}{2}(x_3+x_1,y_3+y_1) = \frac{1}{2}(x_2+x,y_2+y)[/tex]
[tex]\frac{1}{2}(3+0,-2+1) = \frac{1}{2}(1+x,-2+y)[/tex]
[tex]\frac{1}{2}(3,-1) = \frac{1}{2}(1+x,-2+y)[/tex]
Multiply through by 2
[tex](3,-1) = (1+x,-2+y)[/tex]
By comparison:
[tex]1 + x = 3[/tex]
[tex]-2 + y = -1[/tex]
Solve for x and y
[tex]x = 3 - 1 =2[/tex]
[tex]y = -1 +2 = 1[/tex]
So, the coordinates of k is:
[tex]k =(2,1)[/tex]
The length of JK is calculated using distance (d) formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
[tex]J = (0,1)[/tex] ---- [tex](x_1,y_1)[/tex]
[tex]k =(2,1)[/tex] ---- [tex](x_2,y_2)[/tex]
So:
[tex]d = \sqrt{(0 - 2)^2 + (1 - 1)^2[/tex]
[tex]d = \sqrt{(- 2)^2 + (0)^2[/tex]
[tex]d = \sqrt{4 + 0[/tex]
[tex]d = \sqrt{4[/tex]
[tex]d = 2[/tex]
Hence:
[tex]JK = 2[/tex]