First find the height of the cylinder:
15.2 -0.5 = 14.7
The formula for a circle is : V= [tex]\pi r^{2}[/tex] h
V= [tex]\pi (5.4)^{2} (14.7)[/tex] (substitute pi for 3.14)
V= (3.14) (5.4)² (14.7) simplfy
V= 1345.96728
∠CAT and ∠TAD is a linear pair. If m∠CAT = 14 and m∠TAD = x+10, find x.
(show work please)
Answer:
156
Step-by-step explanation:
Since, ∠CAT and ∠TAD is a linear pair.
Therefore,
∠CAT + ∠TAD = 180°
14° + (x + 10)° = 180°
(x + 24)° = 180°
x + 24 = 180
x = 180 - 24
x = 156
A rule of thumb for estimating the size of a crowd is that 2 people take up
5 square feet. If a club has a dance floor that is 30 x 20 feet, how many
people could crowd onto the floor?
Answer:
120 people
Step-by-step explanation:
Length of dance floor = 30 ft
Width of dance floor = 20 ft
Given that 2 people will occupy 5 ft² of space, the number of people that will crowd the floor of the dance floor is calculated as follows:
= Area of dance floor ÷ 5 ft²
= (30*20) ÷ 5
= 600 ÷ 5
= 120.
120 people will crowd the dance floor.
-does anyone understand Stand this also does anyone else need help
Answer:
I think its j
Step-by-step explanation:
Answer: Choice F) [tex]x \le -5[/tex]
====================================================
Explanation:
One long rectangle represents x. Four of them represent 4x
One tiny unshaded square represents a unit 1. Specifically this value is positive. We have 2 columns and 6 rows, so there are 2*6 = 12 tiny squares.
So the stuff in the first box (the four long rectangles and the 12 tiny unshaded squares) represent the expression 4x+12
The stuff in the second box is -8 since we have 8 shaded squares each shaded square being -1.
----------------
The inequality we need to solve is [tex]4x+12 \le -8[/tex]
We'll subtract 12 from both sides, then divide both sides by 4 to fully isolate x
This is what the steps would look like:
[tex]4x+12 \le -8\\\\\\4x+12-12 \le -8-12 \ \text{ subtract 12 from both sides}\\\\\\4x \le -20\\\\\\\frac{4x}{4} \le \frac{-20}{4} \ \text{ Divide both sides by 4}\\\\\\x \le -5\\\\\\[/tex]
The inequality sign does not flip since we did not divide both sides by a negative number.
Phyllis, Kelly, Erin, and Renee bought a gift for their dance instructor. The total cost of the gift, 1 including tax, was $55.80. Erin paid $14, Kelly paid of the cost, Renee paid 25% of the cost, and Phyllis paid the remaining cost. What amount did Phyllis pay? $41.80
Answer:27.85
divide 55.8 by 100 and you get 0.558 and then multiply that by 25 which is 13.95 and then add that with 14 dollars.That equals 27.95 dollors for kelly and renee and then lastly subtract the 27.95 dollars from the total amount of the price to get phyllis's price
11-3(a-2)=27 I NEED TO SHOW WORK HELP
Answer:
3.3 recurring
Step-by-step explanation:
1) expand bracket
11-3a+6=27
2)rearrange equation
11+6=27+3a
11+6-27=3a
17-27=3a
-10=3a
-10/3=a
a=3.3 recurring
Answer:
a= - [tex]\frac{10}{3}[/tex] or -3.33
Step-by-step explanation:
[tex]11-3(a-2)=27[/tex]
subtract 11 on both sides; 27-11=16
[tex]-3(a-2)=16[/tex]
divide both sides by -3
[tex](a-2)=-\frac{16}{3}[/tex]
add 2 on both sides
[tex]a=-\frac{16}{3} +2[/tex]
a=[tex]-\frac{10}{3}[/tex]
This table displays the height of water as a pool is being Use the table to interpret the rate of change.
filled.
What is the change for each consecutive input?
Time (min)
Height
(in.)
What is the change for each consecutive output?
10
3.75
What is the rate of change for the relationship?
11
4.1
VVU
ለለለ
12
4.45
13
4.8
Answer: the first one is 1 the second and third is 0.35
Step-by-step explanation:
I jus guessed and got it right someone else has to explain sorry
Answer: 1.) 1
2.) 0.35
3.) 0.35
Step-by-step explanation:
Amy invested in three companies: 1400 dollars for Apple, 1900 dollars for Google and 1700 dollars for Starbucks. Over the course of one year, she found that Apple went down 4 percent, Google went up 5 percent and Starbucks went up 3 percent. What is the average change in her portfolio?
Loss in apple [tex]=1400\times \dfrac{4}{100}= 56[/tex]
Present value = 1400 - 56 = $1344 .
Loss in google [tex]= 1900\times \dfrac{5}{100}=95[/tex]
Present value = 1900 + 95 = $1995 .
Loss in Starbucks [tex]=1700\times \dfrac{3}{100}=51[/tex]
Present value = 1700 + 51 = $1751 .
Total investment , T = 1400 + 1900 + 1700 = $5000 .
Gain , G = 56 + 95 + 51 = $202 .
% increase [tex]=\dfrac{202}{5000}\times 100 = 4.04 \%[/tex]
Hence , this is the required solution .
what is the capital of poland?
Answer:
Warsaw is capital of poland
Answer:
Warszawa
Step-by-step explanation:
what is the area of this triangle? and can you give me the equation on how to solve it? thank you!
if x=3 and y= 2 cm what is the perimeter of the plygon
Answer:
where is the image then i will comment the ansewr thanks
Step-by-step explanation:
Answer:
99
Hope this helps you guys!
plz help me with these two questions ( show work plz)
Step-by-step explanation:
3. 7 = -2y + 4
2y = 4 - 7
2y = -3
y = -1.5
5. -3x - 2 = -17
17 - 2 = 3x
15 = 3x
3x = 15
x = 15/3
x = 5
Lana uses 0.2 pounds of peaches in each mini pie she makes. How many mini pies can she make with 2.50 pound of peaches?
Answer:
12.5 mini pies
Step-by-step explanation:
0.2 pounds can make 1 mini pie
therefore 2.5 pounds can make 2.5/0.2 = 12.5 pies
Answer:
12.5 mini pies
Step-by-step explanation:
You divide 2.50 by 0.2
[tex]2.50/0.2=12.5[/tex]
simply: -2 1/3 - (-10 1/6)
Answer: 7.83
Step-by-step explanation:
Answer:
−8/3≈−2.666666667
Step-by-step explanation:
-2 1/3 - (-10 1/6)
Multiply −2 times 2/1=0.5.
−1−10×( 1/6 )≈−2.666666667
Multiply 10 and 1/6≈0.166666667 to get 10/6≈1.666666667
−1− 10/6 ≈−2.666666667
Reduce the fraction 10/6 ≈1.666666667 to lowest terms by extracting and canceling out 2.
−1−5/3 ≈−2.666666667
Convert −1 to fraction −3/3 =−1.
− 3/3−5/3≈−2.666666667
Since −3/3 =−1 and 5/3 ≈1.666666667 have the same denominator, subtract them by subtracting their numerators.
−3−5/3 ≈−2.666666667
Subtract 5 from −3 to get −8.
-8/3=−2.666666667
12(p - 5) - 12 = 0
Please help quick!!!!! This is due at 8:00 AM!!!!!
(3 + 2i) - (5 -7i) Write answer in standard form a +bi
(3 + 2i) - (5 - 7i)
Distribute the - sign
3 + 2i - 5 + 7i
Combine like terms
-2 + 9i
Does someone have this kind of problem?
Answer:
Yes :<
Step-by-step explanation:
Hmm.. maybe f-1 (x) has a y-intercept of (0,-36).
Drag equations to each row to show why the equation of a straight line is y = 3x, where 3 is the slope.
Answer:
y=9
Step-by-step explanation:
no matter what y is there is no +b so it would be a constant straight line. y=3(3) and there is no y intercept. hope this answers your question
it takes 3/5 of a gallon of paint to cover 2/3 of a wall. how many gallons is this per wall
Answer:
9/10
Step-by-step explanation:
3/5 gallon paint = 2/3 of wall
if you divide 3/2 each side then...
9/10 gallon of paint = 1 wall
Answer:
1/5 of a wall
Step-by-step explanation:
if you take 3/5 and divide it by 2/3 then you get 1/5
-19a = -174.8
Solve equation
Answer: a = 9.2
Step-by-step explanation: -174.8/-19 = 9.2
Answer:
21
Step-by-step explanation:
21
Find the distance between a point (6, 9) and a horizontal line at y = 5. A) 4 B) 11 C) 15 D) 14
Answer: A.) 4
Step-by-step explanation:
Given the following:
Horizontal line y = 5
Point (6, 9)
Distance between point (6, 9) and horizontal line y = 5
For point (6,9) ; x1 = 6, y1 = 9
Horizontal line : y = 5
Hence, distance between the two points will be the difference between the the y values :
y1 - y = 9 - 5 = 4
Hence, the distance between a point (6, 9) and a horizontal line at y = 5 is 4
Solve the equation for y in terms of x
12x + 3y = 12
Answer:
y = 4 - 4x
Step-by-step explanation:
Step 1: Write equation
12x + 3y = 12
Step 2: Subtract 12x on both sides
3y = 12 - 12x
Step 3: Divide both sides by 3
y = 4 - 4x
Answer:
12x + 3y = 12
3y=12-12x
y=(12-12x)/3=3(4-4x)/3=4-4x
What is the vertex of the graph of y = 1/4 (x - 2)^2+ 6?
(0,7)
(4,7)
(2,6)
(-2,-6)
Answer:
focus | (2, 7)
vertex | (2, 6)
semi-axis length | 1
focal parameter | 2
eccentricity | 1
directrix | y = 5
Step-by-step explanation:
All sale items are marked an additional 10% off the sale price. If a coat that originally costs $110 is on sale for 25% off, what is the new sale price? Is this a reduction of 35% off the original price
Answer:
The new sales price is $74.25
Step-by-step explanation:
110 x 0.25 = 27.5
110 - 27.5 = 82.5
82.5 x 0.10 = 8.25
82.5 - 8.25 = 74.25
Simply discounting 35% off the original price does not work in this specific problem.
8. Aaron was riding his bicycle to school at a rate of 18 miles an hour down the street. As he got
closer to school, he gradually slowed his bike until he stopped at the bike rack.
Which of the graphs below best represents the change in Aaron's position over time?
Answer:
A.
Step-by-step explanation:
Aaron was riding forward, so the position graph should always be sloping upward, with his position always increasing away from home. Lastly, he slowed gradually as he got closer to the school, until he stopped at the bike rack, so the slope of X does not fit. Graph Z best fits this situation.
Answer: its Y
Step-by-step explanation: I did the study island
2. Construct the perpendicular bisector of CD. Label the intersection of CD and the perpendicular
bisector point M. (5 points)
From c to d line
I need help fast
Answer:
Step-by-step explanation:
A bisector is a line that divides an angle or a line into equal halves. In the case of a given line, the bisector will always be perpendicular to it.
To bisect CD, draw CD to the required length.
Open the compass to a radius greater than the the middle of CD.
With C as the center and the radius, describe an arc above and below CD. Repeat the same using D as the center.
Join the point of intersection of the two arcs by a line.
Label the point where the bisector passes through CD as M.
The construction would be as what is attached to this answer.
9. Apply The number of people in the United States who are at least 100
years old grew about 66% from 1980 to 2010. Write that information as a
conditional statement.
Answer: If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.
Step-by-step explanation:
A really simple conditional statement can be written as:
If P, then Q
Where P is the hypothesis, and Q is the conclusion.
In this case, we know that:
"The number of people with age equal or larger than 100 years old, grew about 66% from 1980 to 2010"
This means that if in 1980 we had N people in that age range, in 2010 we have N*(166%/100%) = N*1.66
Then we can write a conditional statement:
If in 1980 we had N people who were at least 100 years old, then in 2010 we had N*1.66 people who were at least 100 years old.
3x 40° to Sum of angle measures: 180°
Answer:
yes
Step-by-step explanation:
Hamburgers come in packs of 20, while buns come in packs of 12 what is the least number of packs you should buy in order to have the same numbers of hamburgers and buns?
0.2, 0.19, 3/5
Greatest to least
Answer:
3/5 , .2, .19
Step-by-step explanation:
.2= 20/100
.19 = .19/100
3/5 = .6= 60/100
Heidi Muir, a sporting goods wholesaler, purchased goods from a supplier for $3,400. The
supplier offers a 3% discount if the invoice is paid within 10 days; if not paid within 10 days, the
full amount must be paid within 30 days of the invoice date. Use the formula to find the annual
rate Heidi, in effect, is paying the supplier if she fails to pay the invoice at the end of the discount
period
Answer:
56.44%
Step-by-step explanation:
From the question, we have the following values
% Discount = 3%
Full allowed payment days = 30 days
Discount days = 10 days
1 year = 365 days
The formula for Effective Annual rate or Annual rate in effect =
Discount %/(1-Discount %) x (365 days/(Full allowed payment days - Discount days))
= 3%/(1 - 3%) × (365 days/30 days - 10 days)
= 0.03/(1 - 0.03) × (365/20)
= 0.03/0.97 × (365/20)
= 0.5644329897
Converting to percentage
0.5644329897 × 100
= 56.44329897%
Approximately = 56.44%
Therefore, the annual rate Heidi, in effect, is paying the supplier if she fails to pay the invoice at the end of the discount period is 56.44%