Answer:
1. diameter=5.54m
2. radius=9.55cm
3. area=11.46feet²
Step-by-step explanation:
1. The formula of the area of a circle is: A=[tex]\pi r^{2}[/tex]
A: area of the circle=25m²
[tex]\pi[/tex] : Pi≈3.14
r: radius of the circle= unknown
Solve the equation to find r:
25=(3.14)r²
r²=[tex]\frac{25}{3.14}[/tex] =7.69m²
r= √7.69= 2.77m
diameter d= 2 x r =2 x 2.77 =5.54m
2. The formula of the perimeter of a circle is: P=2[tex]\pi r[/tex]
P: perimeter of the circle= 30cm
[tex]\pi[/tex] : Pi≈3.14
r: radius of the circle= unknown
Solve the equation to find r:
30=(3.14)r
r= [tex]\frac{30}{3.14}[/tex] = 9.55cm
radius r = 9.55cm
3. First we have to find r (radius) from the equation of perimeter:
P=2[tex]\pi r[/tex]
r= [tex]\frac{P}{2\pi }[/tex] = [tex]\frac{12}{2(3.14)}[/tex] = [tex]\frac{12}{6.28}[/tex] =1.91 feet
Substitute r in the equation of area to get the area:
A= [tex]\pi r^{2}[/tex] = 3.14 (1.91)² = 3.14(3.65) = 11.46 feet²
Helppp plssssss!!!!!!
1) Not Congruent
2) Congruent
3) Congruent
4)Congruent
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]
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
What are the period and amplitude
of the function?
period T; amplitude : 1.5
•
period T; amplitude
3
•
period : z; amplitude : 1.5
O period
~; amplitude : 3
Answer:
period is pie/2 and amplitude is 3
the meaning of amplitude is on the photo
A) tan
B) tan^2
C) 1
D) -1
Answer:
A) [tex]\tan \theta[/tex]
Step-by-step explanation:
[tex] \frac{\sin \theta}{ \sqrt{1 - { \sin}^{2} \theta } } \\ \\ = \frac{\sin \theta}{ \sqrt{ { \cos}^{2} \theta } } \\ \\= \frac{\sin \theta}{{ { \cos} \theta } } \\ \\ = \tan \theta[/tex]
Ex. 3 A printing press prints 120 sheets in 3 min . ( 1) Express the printing as a rate. ( 2) How many sheets are printed in 1 h? (3) How long will it take to print 1000 sheets?
Answer:
a 40 sheets/min
b 2400 sheets
c25mins
Step-by-step explanation:
a
120/3=40 sheets /min
b
40*60=2400
c
1000/40=25
Answer:
1) 40 sheets/minute 2) 2400 3) 25 minutes
Step-by-step explanation:
What is the domain of the function graphed below?
Answer:
The second option
Step-by-step explanation:
Hello!
The domain of a graph is the interval in which the graph is on the x values.
This graph has all the x values that are greater than or equal to -3, as the graph is to the right of it.
The answer would be the second option: [tex]D : x/x \geq -3[/tex]
The range is the y-values of the graph. The y value of this graph is above 0, so it would be y ≥ 0
Simplify
chapter name:rationalization of surds
[tex] \frac{ \sqrt{6} }{ \sqrt{2} \times \sqrt{2} } [/tex]
[tex] \frac{ \sqrt{6} }{2 \sqrt{2}} [/tex]
[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex] ~←(>▽<)ﾉ
Answer:
Step-by-step explanation:
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
A box of Cheerios is 2 inches wide, 8 inches long, and 12 inches high. The box is half empty. What is the
volume of Cheerios left in the box?
HELPPP
Answer: 96
Step-by-step explanation: formula for volume is lwh. 2 times 8 times 12 equals 192. divide that by 2 because there is only half left.
Dan earns £286 over the course of a five-day week. How much is that per day?
Answer:
Answer:56.8
Step-by-step explanation:
First you get how much he earned
Then you get how much days he worked
Then you divide
£284/5
Answer: £57.20
Hope this helps you guys!
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]
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)
9 1/10 - 4 3/4
Help please
Answer:
[tex]4\frac{7}{20}[/tex]
Hope This Helps! :)
Answer:
[tex]4\frac{7}{20}[/tex]
Step-by-step explanation:
[tex]9\frac{1}{10}-4\frac{3}{4}[/tex]
Convert in improper fractions:
[tex]\frac{10*9+1 }{10} -\frac{4*4+3}{4}\\\\\frac{90+1}{10}-\frac{16+3}{4}\\\\\frac{91}{10}-\frac{19}{4} < ==find\ the\ LCM\ or\ the\ common\ denominator\ for\ 10\ and\ 4\ (20)\\\\\frac{182}{20} -\frac{95}{20}\\\\ \frac{87}{20} < ==convert\ to\ a\ mixed\ fraction\\\\ 4\frac{7}{20}[/tex]
Multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Multiples of 10:
10, 20, 30, 40
LCM of 4 and 10 is 20.
Hope this helps!
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 %
please help like i really need it
Answer:
145 degrees.
Step-by-step explanation:
It is 180 minus 35 because they always have to equal 180 so I subtracted 180 by 35
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.
it math questions: true or false!
Answer:
1 true 2true 3false 4true 5 true
Answer:
1: True 2: False 3: True 4: True 5: False
Please help me it’s due today
Answer:
Northside
Median: 36
Range: 32
IQR: 17
Southside:
Median: 39
Range: 38
IQR: 22
Step-by-step explanation:
Northside first
Order the ages from least to greatest
24, 28, 32, 32, 32, 36, 41, 44, 49, 49, 56
Median is 36 since it's in the middle
Subtract the greatest number from the smallest number to find the range (56-24) = 32
To find the IQR you need the ages least to greatest
24, 28, 32, 32, 32, 36, 41, 44, 49, 49, 56
Find the lower quarter = 32
Find the upper quarter = 49
Subtract 49 and 32 (49-32) = 17
Southside
The Median is the line at the middle of the box, in this case its between 38 and 40 which is 39.
The range is 61 - 23 = 38 (Greatest - least)
The IQR is 52 - 30 = 22
Hope this helps!
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
A study of a population of 1,200 tigers revealed that 6 out of every 150 tigers in the
population are albino. Based on the results of this study, how many tigers in the population
are NOT albino?
========================================================
Explanation:
6/150 = 0.04 = 4% of the population are albino.
That leaves 100% - 4% = 96% that aren't albino.
96% of 1200 = 0.96*1200 = 1152
------------
Another way to look at it:
4% of the population are albino, so there are 0.04*1200 = 48 albino tigers.
This means there are 1200-48 = 1152 non-albino tigers.
Find the H.C.F and L.C.M. of the following.
（a）336,22,4
Answer:
hcf=2 lcm=3696
Step-by-step explanation:
What is the product of 6 square root 3 and 3 square root 6 in simplest radical form
Answer:
54√2
Step-by-step explanation:
6√3 × 3√6 =
( 6 × 3 ) × [tex]\sqrt{3*6}[/tex] =
18√18 = 18√(2×9) =
18 ( √2 × √9 ) =
(18 × 3)√2 = 54√2
The product of 6 square root 3 and 3 square root 6 in the simplest radical form will be 54 square root 2.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that the two terms are 6√3 and 3√6.
We have to find the product of the given terms,
Radical notation is the term for an expression that employs a root, such as the square or cube root.
=6√3 × 3√6
=( 6 × 3 )√( 6 × 3 )
=18√18
= 18√(2×9)
=18 ( √2 × √9 )
=(18 × 3)√2
= 54√2
54√2 is the term shown in the radical form.
Thus, the product of 6 square root 3 and 3 square root 6 in the simplest radical form will be square root 54.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP *67 points*
If it didn't have that piece cut out on the bottom, it would be a rectangle that's 9cm wide and 5cm high. Its area would be 9x5= 45 cm².
But that piece is cut out of the bottom. The cut-out piece is 3cm wide and 3cm high, so its area is 3x3= 9 cm².
9 cm² have been cut out of the 45 cm² of the complete big rectangle. So the remaining area of the figure is 45 - 9 = 36 cm² .
Solve 3x2 = -12x - 15.
Ox= -4 + 2i
Ox=-4+1
Ox=-2 + 2i
Ox= -2
Answer:
x = -2 - i, -2 + i.
Step-by-step explanation:
3x2 = -12x - 15
3x^2 + 12x + 15 = 0
Divide through by 3:
x^2 + 4x + 5 = 0
x^2 + 4x = -5
Completing the square:
x^2 + 4x + 4 = -5 + 4
(x + 2)^2 = -1
x + 2 = √-1 = i
x = -2 - i, -2 + i.
A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price charged per customer. The more the company charges for a tour, the fewer people decide to take the tour.
The function c(x)=50+5x represents price charged per customer where x is the number of $5 increases they charge over a rate of $50 per person.
The function p(x)=100−2x represents the number of customers expected for the day, where x is the number of $5 increases they charge over a rate of $50 per person.
What does (p⋅c)(2) mean about the horse-drawn carriage tour company?
The horse-drawn carriage tour company can expect to take in $3760 when the charge per customer is $40.
The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $40.
The horse-drawn carriage tour company can expect to take in $3760 when the charge per customer is $60.
Answer:
B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
Step-by-step explanation:
We have,
The function representing the price charged by the customers is .
The function representing the number of customers is .
Then, the product of the functions is given by,
Substituting x = 2 in the above product gives,
Also, the charge per customer when x = 2 is,
Hence, the product (p-c)(2) represents,
B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
Answer:
The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.
Step-by-step explanation:
Of the 200 cows in the herd, five-eighths grazed in the field. The rest slept near the barn. How many grazed in the field and how many were sleeping near the barn?
Answer:
125 barn 75 sleeping
Step-by-step explanation:
5/8 of 200 cows
of means multiply
5/8 x 200 = 1000/8 = 125
125 cows grazing
200-125 = rest of cows
75 = rest of cows sleeping
what is the expanded form of 812004?
8,00,000 + 10,000 + 2,000 + 4
Eight Lack Twelve Thousand And Four
INTERNATIONAL SYSTEM800,000 + 10,000 + 2,000 + 4
Eight Hundred And Twelve Thousand And Four
hope this is the expected answer!!,if it is correct/satisfying then PLS mark Brainlist(: !!HAVE A NICE TIME!! :)(: !!STAY SAFE!! :)Which of the following are solutions to the inequality below? Select all that apply.
4 ≥
r
Answer:
r=1
Step-by-step explanation:
1 is lower than for. The sign also suggests that its could be 4 as well
i do not know this answer
Answer: awnser is m= 1/6
Step-by-step explanation: m = add the terms which is -1 -5m-4+6 m= 1-5m
step 2 then rerange the terms to m= 1-5m to m = 5m + 1
step 3 add 5m to both sides m= -5m+1 to m + 5m= -5m + 1 + 5m
step 4 simplify and combine like terms 6m= 1
step 5 divide both sides by the same factor 6m= 1 6m/6 = 1/6
step 6 simplify Cancel terms that are in both the numerator and denominator so it is m= 1/6 is the correct awnser mark me brainliest please