Answer:
31.6m
Step-by-step explanation:
First, find area of the vessel [ (πr2h)/3 ]
Radius = 5.2/2= 2.6
Using Pythagorean theorem, find the height of the cone:
[tex]\sqrt{6.8^{2} -5.2^{2} }[/tex] = 4.38
Area of vessel = [tex]\frac{ (PI * 2.6 * 2 * 4.38)}{3}[/tex] = 56.88 [tex]cm^{3}[/tex]
Do cross multiplication using ratios:
1.8 = 1
56.88 = [tex]x[/tex]
[tex]\frac{56.88}{1.8}[/tex]= 31.6
What is the value of x?
What is the value of y?
Answer:
Step-by-step explanation:
Use Pythagorean's theorem. The two shorter sides (6+x) and 20 are apart of a right triangles of a hypotenuse of (18+6). Therefore:
[tex](6+x)^2+20^2} =(18+6)^2[/tex]
[tex](6+x)^2+400 =576[/tex]
[tex](6+x)^2=176[/tex]
Take the square root of both sides:
[tex]6+x=\sqrt{176}[/tex]
[tex]x=\sqrt{176} -6[/tex]
Moving on to the smaller triangle, we can find the value of 'y' to be:
[tex]6^2+y^2=18^2[/tex]
[tex]y^2+36=324[/tex]
[tex]y^2=288[/tex]
[tex]y=\sqrt{288}[/tex]
a circular clock face has a diameter of 7 inches how many inches does the tip of the minute hand travel in a day
Answer:
14π inches
Step-by-step explanation:
Diameter of the clock = 7 × π = 7π
one day = 24 hours which means
2 clockwise turns around the clock
sooo 7π × 2 = 14π
Answer:
527.52 in
Step-by-step explanation:
To answer this question you have to find the circumference of the circle.
You have to use the formula below to find the circumference.
C = π d
Here,
d ⇒ diameter ⇒ 7 in
Let us solve it now.
C = π × d
C = 3.14 × 7
C = 21.98 in
So, the tip of the minute hand is traveling 21.98 in an hour.But they're asked for the distance traveled by the tip of the minute in a day.So, to find that we have to multiply the answer by 24 hours.Let us find it now.
Distance traveled in a day = 21.98 × 24
= 527.52 in
anyone know the answer?
100 POINTS! PLEASE ANSWER!!! WILL MARK BRAILIEST!! THANKS! (show work if you can)
Answer:
5.7594087
Step-by-step explanation:
0.03x8888^14
Factor x +3.0 - 10. Is this a special product? Justify your answer. If it is, which one is it?
.
Answer:(x+5)(x-2) I Dont know what a special product is sry
Step-by-step explanation:
help me please i rate you highest
Step-by-step explanation:
circumference = 2 pi r
2 × 3.14 × r = 527.52 yd
r = 527.52 × 1/2 × 1/3.14
r = 84 yd
Surface area = 4 pi r²
= 4 × 3.14 × 84²
= 88,623.36 yd²
The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 20 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.
Answer: 6
Step-by-step explanation:
The length of all sides of the square ceiling is 15 ft
Perimeter of the ceiling = 4 * length of each side = 15 * 4 = 60 ft
Distance from one corner to another corner i.e. BD and AC (in the figure below) forms the diagonals of the square ceiling
We know that,
Diagonal of a square = √(2) * a , where a is the length of the side of the square.
Therefore,
BD = AC = 15 √(2)
Thus,
Total crepe paper required = Perimeter of the ceiling + BD + AC = 60 + 15 √(2) + 12 √(2) = 102.43 ft
Crepe paper in each roll = 20 ft
Therefore,
Number of rolls required = 102.43 / 20 = 5.1215
Therefore, the minimum number of rolls she should buy is 6
PSSA pleas
neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed yall help im black
A car normally sells for $20,000 is on sale for $16,000. The sales tax is 7.5%.
What percent of the original price of the car is the final price?
Answer:
86% of original (with tax included)
Step-by-step explanation:
(16 000 x 1.075) / 20 000 x 100% = 86 %
567.3
What is the value of the digit 5 in this number?
Answer:
hundredth place
Step-by-step explanation:
because ummmm yeah
3. Solve the inequality and graph the solutions.
-5x < 15
Answer:
[tex]\boxed{{x} > -3}[/tex]
Step-by-step explanation:
Given inequality:
[tex]-5x < 15[/tex]To solve this inequality, we need to isolate the variable on one side and the constant on the other. To do this, we can divide both sides by -5.
[tex]\rightarrowtail -5x < 15[/tex]
[tex]\rightarrowtail \dfrac{-5x}{-5} < \dfrac{15}{-5}[/tex]
[tex]\rightarrowtail x < \dfrac{15}{-5}[/tex]
Note: If we are dividing both sides by a negative integer, the sign changes.
[tex]\rightarrowtail {x} > \dfrac{15}{-5}[/tex]
To simplify 15/-5, we can multiply -1 to the numerators and the denominators. As a result, the negative sign should transfer to the numerator, as when two negative integers multiply each other, the result is a positive integer.
[tex]\rightarrowtail {x} > \dfrac{15}{-5} \times \dfrac{-1}{-1}[/tex]
[tex]\rightarrowtail {x} > \dfrac{-15}{5}[/tex]
[tex]\rightarrowtail \boxed{{x} > -3}[/tex]
Graph:[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-5x < 15}\\\\\large\text{DIVIDE -5 to BOTH SIDES}\\\\\mathsf{\dfrac{-5x}{-5} < \dfrac{15}{-5}}\\\\\large\text{SIMPLIFY IT!}\\\\\mathsf{x > -3}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x > -3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The table below shows a student's quiz scores on six quizzes.
median is 16 ducky quack
Answer:
16
Step-by-step explanation:
Median, also known as the "middle" value in a data set. To be able to find the median, your data needs to be in numerical order.
Quiz scores:
9, 13, 20, 15, 18, 17
Arrange in numerical order:
9, 13, 15, 17, 18, 20
Find the "middle" value:
9, 13, 15, 17, 18, 20
When there are two middle values, you add them up and divide it by 2.
15 + 17 = 32
32/2 = 16
Therefore, the median, "middle" value of this student's quizzes is 16.
Hope this helps!
Please help will give brainliest
Which of the following are tangent to circle A? Select all that apply
see picture
Answer:
RS RT ST
Step-by-step explanation:
This is due to the facts that tangency means having contact at a single point or along a line without crossing. so the first 3 options are correct
Calculate the down payment percent using the following information:
Purchase price: $281,700.00
Closing costs: 2.4% of purchase price
Total move-in costs: $57,466.80
18.0%
20.4%
21.0%
23.5%
18.0% which is the same as 18%
==========================================================
Work Shown:
p = purchase price = $281,700
c = closing costs
c = 2.4% of purchase price
c = 0.024p
c = 0.024*(281,700)
c = 6,760.80
d = unknown down payment amount
m = total move in costs = $57,466.80
m = d + c
d = m - c
d = 57,466.80 - 6,760.80
d = 50,706
down payment percent = d/p = (50,706)/(281,700) = 0.18 = 18%
18% of the purchase price is the down payment.
Fistan is comparing two number pattern
the information below.
• Both patterns start with the number 1.
• Pattern A follows the rule “add 3”.
• Pattern B follows the rule “add 4".
ow do each of the first 5 terms in Pattern A
mpare to the first 5 terms in Pattern B? As
et of your answer, list the first 5 terms of each
tern.
Answer:
See below.
Step-by-step explanation:
Each term increases by 3 for A and 4 for B. Either do this calculation manually on a table, or use a spreadsheet to calculate all terms quickly.
The ten first terms for A and B are shown.
A B Difference
1 1 1 0
2 4 5 1
3 7 9 2
4 10 13 3
5 13 17 4
6 16 21 5
7 19 25 6
8 22 29 7
9 25 33 8
10 28 37 9
We can see that the difference between the two patterns is that B increases more rapidly until there is a difference of 9 by the 10th term.
Match the correct angle measurement with its letter from the diagram.
42
48
90 are the options
Answer:
<C=48 because 90-42=42 as in the other side of the triangle.
<B=42 because vertical angles are always congruent.
<B+<D=90 because <D is 48 because it is vertical to <C
Coach Fraser will select a captain and a co-captain from the students in her physical education class. If there are 22 students from which to
select, how many different outcomes are possible?
a. 484
b. 462
c. 44
d. 22
10. A cylindrical can has a base with a diameter of 6 cm. Its height measures 5 cm. What is the total surface area of the can?
plss help me
Answer:
Total surface area of cylinderal can is 150.8 cm²Step-by-step explanation:
Given that a cylinderal can has base with a diameter of 6 cm and its height measures 5 cm.
So,
Radius = Diameter/2 = 6/2 = 3 cm
We know that,
TSA of cylinder = 2πr(h + r)Substituting required values:
➝ TSA = 2 × 22/7 × 3(5 + 3)
➝ TSA = 44/ 7 × 3 × 8
➝ TSA = 1056/7
➝ TSA = 150.8 cm²
Hence,
Total surface area of cylinderal can is 150.8 cm²Answer:
Total surface area of cylindrical can :- 150.72 cm²
Step-by-step explanation:
Given:-
Base of cylindrical can with diameter :- 6 cm , so radius :- 3 cmheight of cylinder :- 5 cmTo find :-
Total surface area of cylindrical canSolution :-
Formula for Total surface area of cylinder :-
2πr(r + h)
putting the known values ,
= 2 × 3.14 × 3 ( 3+5) cm²
= 18.84 × 8 cm²
= 150.72 cm²
-4. A car traveled 36 miles in 45 minutes. The car traveled at a constant speed. If the car
continues to travel at this rate, which equation can be used to determine y, the total
number of miles the car will travel, in x hours?
(2017)
A. y=48x
B. y=x+48
C. 48y = x
D. 48+y=x
Answer:
A. Is the answer
I'm correct right?
Elizabeth’s credit card computes her finance charges using the previous balance method and a 30-day billing cycle. the table below shows elizabeth’s credit card transactions in july. date amount ($) transaction 7/1 969.26 beginning balance 7/3 45.00 payment 7/10 67.48 purchase 7/12 20.00 payment 7/28 85.00 payment if elizabeth has an apr of 14.61%, how much will her july finance charge be? a. $9.97 b. $12.62 c. $11.80 d. $10.80
Answer:
11.80
Step-by-step explanation:
The $11.80 will be her July finance charge option (c) is correct.
It is given that Elizabeth’s credit card computes her finance charges using the previous balance method and a 30-day billing cycle.
It is required to find the July finance charge.
What is APR?It is defined as the annual percentage rate that represents the yearly interest rate on the borrowing.
We have a principal amount = $969.26
APR = 14.61 %
Per month percent rate = [tex]\frac{14.61}{12}[/tex] ⇒ 1.2175 %
We can calculate the finance charge from the given formula:
Finance charge = Principal value×rate×Time
= 969.29×1.2175%×1
[tex]= 969.29\times\frac{1.2175}{100}\times1[/tex]
= $11.80
Thus, the $11.80 will be her July finance charge.
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helpppppppppppppppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
.... thank you <3
Answer:
39.9
Step-by-step explanation:
Pls give brainlest if correct.
*Answer*:39.9
Reasoning:Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274: Rounding to the nearest hundred is 800 Rounding to the nearest ten is 840 Rounding to the nearest one is 838 Rounding to the nearest tenth is 838.3 Rounding to the nearest hundredth is 838.27
**Helping to solve**:When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same: Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be. Look to the next smallest place value, the digit to the right of the place value you're rounding to.
Therefore, the answer is C. 39.9
This has been..~NatLikesAnime
#LearningWithBrainly
Please give brainliest, a thanks, and a 5 start rating if helpful :)
A store sells t-shirts and pants combinations for $50. If the pants cost $10 more
than the t-shirts, find the cost of each.
( help me please)
Answer:
the shirt should be $20 and the pants $30
** PLS HELP GIVING BRAINLIEST* Problem 3.1
Alma makes 5 cups of her favorite shade of purple
paint by mixing 3 cups of blue paint, 1 1/2 cups of red
paint, and 1/2
cup of white paint.
Alma has 2 cups of white paint.
Assuming she has enough red paint and blue paint,
how much purple paint can Alma make?
Answer:
pretty sure the answer is 8 1/2 cups
Step-by-step explanation:
find the area of a triangle two sides of which are 8cm and 11 cm and the perimeter is 32
the area of the triangle.
solution:area of triangle= 1/2 × h × b
= 1/2 × 8 × 11
= 44cm^2
Answer:
44
Step-by-step explanation:
8+11=1932-19=13area of a triangle=½×base×height
13~hypotenuese½×8×11=44cmhope that hepls
incase u have any question coment belowAn angle measures 62.4° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
If an angle measures x degrees, the measure of its supplement is (180-x) degrees.
This means that x-62.4 = 180-x, meaning that x=121.2.
So, the angles are 121.2 and 58.8 degrees.
Please answer number 7 thank you.
Answer:
3 is most likely
Step-by-step explanation:
Use the Pythagorean Theorem to determine if a triangle with side lengths √2 ft., √3 ft., √5ft. is a right triangle.
A:) Yes it is a right triangle
B:) No it is not a right triangle
Answer:
A:) Yes it is a right triangle
Step-by-step explanation:
[tex]~~~~\left(\sqrt{5} \right)^2= \left(\sqrt{2} \right)^2+\left(\sqrt{3} \right)^2\\\\\implies 5=2+3\\\\\implies 5=5[/tex]
Answer:
A
Step-by-step explanation:
using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = [tex]\sqrt{5}[/tex] , and ([tex]\sqrt{5}[/tex] )² = 5
([tex]\sqrt{2}[/tex] )² + ([tex]\sqrt{3}[/tex] )² = 2 + 3 = 5
Thus the 3 sides form a triangle
A proportional relationship is shown in the table below:
X - 0 0.3 0.6 0.9 1.2
Y- 0 1 2 3 4
What is the slope of the line that represents this relationship?
Graph the line that represents this relationship.
Answer:
slope intercept for is y=MX+b and to find the slope it's y1-y2/x1-x2
The slope would be 10/3.
And the line should intersect at the origin (0,0) and the second dot should be at the point (3,10)
45% of the children in a school have a dog, 30% have a cat, and 18% have a dog and a cat. What percent of those who have a dog also have a cat
The percentage of the children that have dog or cat is = 57%
Calculation of percentage of childrenThe percentage of children that have a dog = 45%
The percentage of children that have a cat = 30%
The percentage of children that have dog and cat= 18%
Therefore the percentage of children that have dog or cat = (45 + 30) - 18
= 75 - 18
= 57%
Therefore, the percentage of the children that have dog or cat is = 57%
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Demarcus has to wrap a gift for his friend's birthday party. the gift is in a rectangular box with the dimensions shown below. he's trying to figure out how much gift wrap he needs to cover the entire box. should he calculate the total surface area or the lateral surface area? pick the right measurement and then calculate it for him.
Amount of gift wrap to cover the entire box = total surface area of rectangular box = 1,048 in.².
What is the Total Surface Area of a Rectangular Box?The total surface area of a rectangular box is the area of all the faces of the box = 2(wl + hl + hw).
Therefore, to find the material that will cover the whole rectangular box, Demarcus should find its total surface area, given the following dimensions:
l = 20 in.w = 8 in.h = 13 in.Plug in the values into TSA = 2(wl + hl + hw):
Total surface area of rectangular box = 2(8×20 + 13×20 + 13×8) = 1,048 in.²
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