Answer:
C=[tex]14\pi[/tex] or ≈43.96cm
Step-by-step explanation:
Start by figuring out the Area of the circle to get the radius (r)
Area (A)=153.86 cm
A=[tex]\pi r[/tex]²
153.86=[tex]\pi[/tex]r²
153.86÷[tex]\pi[/tex]=r²
49=r²
√49= r
r= 7cm
Next insert r=7cm into the Circumference equation of a circle
C=2[tex]\pi[/tex]r
C= 2×[tex]\pi[/tex]×7
C=14[tex]\pi[/tex] or C=43.96cm
A swimmming pool with cylindrical base has a diameter of 21 feet and a depth of 5 feet. Find the volume of the pool
Answer: V = 1731.8Ft³
Step-by-step explanation:
v = πr²h
Radius is half of the diameter ⇒ 21/2 = 10.5
V = π(10.5)²(5)
V=π(110.5)(5)
V = π(551.25)
V = 1731.8Ft³
The solution is : the volume of the pool is V = 1731.8Ft³.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Here, we have,
we know that,
the volume of the cylinder is:
v = πr²h
Radius is half of the diameter
⇒ 21/2
= 10.5
so, we get,
V = π(10.5)²(5)
V=π(110.5)(5)
V = π(551.25)
V = 1731.8Ft³
Hence, The solution is : the volume of the pool is V = 1731.8Ft³.
To learn more on volume click :
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#SPJ2
Find the deference between
simple etablerst and compoun
interest on 24000 at 10% for
2 years.
Answer:
$5520
Step-by-step explanation:
Given data
Principal= $24000
Rate=10%
time= 2 years
Firstly, the compound interest is given as
A=P(1+r)^t
A=24000(1+0.1)^2
A=24000(1.1)^2
A=24000*1.21
A=$29040
The simple interest is given as
A=P(1+rt)
A=24000(1+0.1*2)
A=24000(1.2)^2
A=24000*1.44
A=$34560
Hence the difference is
=34560-29040
=$5520
Which statement is true?
The opposite of 6 is - 5, and is located to the right of 0 on a number line.
The opposite of 6 is -, and is located to the left of 0 on a number line.
The opposite of 6 is -6, and -6 is located to the right of 0 on a number line.
The opposite of 6 is -6, and -6 is located to the left of 0 on a number line.
last week Patrice mad (15d + 400) dollars. this week she made (10d + 50) dollars. write an expression that represents how much money she made altogether over the last weeks.
(15d+400)+(10d+50)
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hope it helps
A submarine 58 feet below see level. An a airplane is 264 feet above sea level. How far above is the submarine in the plane?
Answer:
322
Step-by-step explanation:
58+264=322
Answer:
322 feet
Step-by-step explanation:
if the question was two positive heights, you would subtract, and you still do. we find how many inches my father is taller than me by subtracting my height from his, and the same applies to this, though the submarine, being below sea level is at a negative height. when you subtract a negative, it's the same as adding a positive.
264 - (-58)
264 + 58 = 322
In the evenings, Jake and his friends would cookout and make s'mores for dessert. the ratio of chocolate squares to Graham crackers that they used is shown in the graph below. (repost)
Answer:
(2,3) also love your profile pic :)
( 2,3 ) I hope this helped you!~ have a great day~
~Keiji❤
Treat yourself well, remember to eat. You are valid. Love you!~
Please PLEASE help me!!!
Find AC
Answer:
AC=AB+BC
x=1+9/3
x =4
Ac = 3(4)+1 + 9
Ac = 12+1+9
Ac= 22
A dog walked 25 miles in 12.5 hours. Find the speed of the dog.
Answer:
Step-by-step explanation:
Someone calculated his or her average speed to 18.36 Miles per hour (mph) Calculate your average speed This calculation will help you calculate your average speed when you have covered a certain distance over a certain time.
Answer:
2 mph
Step-by-step explanation:
if we divide our miles by our time with the equation d for distance and t for time we'll get this
d/t = s (s to represent the speed
now time to plug in our equation
25/12.5 = 2
we now have our answer of 2 miles per hour
I need the answer to this
Answer:
parallel as if we place the ond the coordinate grkd they will form lines paral.el to each other(;
Find the missing side. Round your answer to the nearest tenth.
Please help me!!!!
Answer:7.8
Step-by-step explanation:
Determine whether each given expression is equivalent to 6 x 4 1/2 or is not equivalent by checking the appeopriate box in the table below
А 6 x 4 + 2
B 6x5-1/2
C 6x4+6x1/2
D 6 x 5-6x1/2
Es el máximo común divisor de 48 y 36 es
Answer:
12
Step-by-step explanation:
48: 1, 48, 2, 24, 3, 16, 4, 12, 6, 8
36: 1, 36, 2, 18, 3, 12, 4, 9, 6
GCF, aka maximo comun divisor = 12
Answer:
12 (lo siento si está mal)
Step-by-step explanation:
Find the area of this figure
Area of triangle
a = 6 ft + 2 ft + 2ft = 10 ft
h = 12 ft
½ * 10 ft * 12 ft = 60 sq ft
Area of square :
a = 6 ft
6 ft * 6 ft = 36 sq ft
Area of this figure :
60 + 36 = 96 sq ft
Answer:
156 ft
Step-by-step explanation: (This does not seem to be in scale)
1. Split into one triangle and one square
2. Find triangle area
12 * 10 = 120 ft
3. Find square area
6 * 6 = 36 ft
4. Area = Atriangle + Asquare
120 + 36 = 156 ft
Find mZRPQ.
11
80°
B
S
[P
Q
R
150°
go to (-5, 1)
go to (-4, 2)
a) 115°
b) 350
c) 80°
d) 1500
e) 75°
go to (-2, 1)
go to (6,0)
go to (8,2)
Answer:
A
Step-by-step explanation:
Angle P is intercepted by two arcs.
SB and RQ.
We can use this theorem,
If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
So in other words,
[tex] \frac{80 + 150}{2} = rpq[/tex]
[tex]rpq = 115[/tex]
Using the Distance Formula
For problems 1 - 6, find the distance between each pair of points. Round to the nearest tenth when necessary
1. (0,0) and (-3,4)
2. (1,2) and (6,14)
3. (8,11) and (15, 35)
4. (3,8) and (-5,-7)
5. (-2,-3) and (-1,-4)
6. (-3,5) and (3,5)
Answer:
Step-by-step explanation:
since I did 1 already , i'll do 2 - 6 .. fast
using the formula for distance = sq rt [ (x2 - x1 ) ^2 + (y2 - y1 ) ^2 ]
2) sq rt [ (6-1)^2 + (14-2)^2
sq rt [ 25 + 144]
sq rt [ 169]
13
3) sq rt [ (15 - 8)^2 + (35-11)^2 ]
sq rt [ 49 + 576 ]
sq rt [625]
25
4) sq rt [ ( -5 -3 )^2 + (-7 - 8)^2 ]
sq rt [ 64 + 225]
sq rt [ 289]
17
5) sq rt [(-1-(-2))^2 + (-4-(-3))^2]
sq rt[ (-1+2)^2 + (-4+3)^2]
sq rt [ 1 + 1 ]
[tex]\sqrt{2}[/tex]
6) sq rt [ 3-(-3)^2 + (5-5)^2]
sq rt [ (3+3)^2 + 0]
sq rt [ 9 ]
3
:) phew.... :P
write the ratio as a fraction in simplest form with whole numbers in the numerator and denominator
45 : 5
Answer:
9/1
Step-by-step explanation:
45/5 = 9
a shoe store stocks 3 pairs if boots for every 5 pairs of athletic shoes
Answer:
whats the question
Step-by-step explanation:
At an ice cream shop, 4 of the last 10 cones sold had cookies and cream ice cream. Considering this data, how many of the next 15 cones sold would you expect to have cookies and cream ice cream?
Answer:
6 cones
Step-by-step explanation:
4/10=2/5
2/5x3x3=6/15
6 cones
please help. 5 points!
Select all the expressions that represent the area of the large, outer rectangle.
5(2+4)
5⋅2+4
5⋅2+5⋅4
5⋅2⋅4
5+2+4
5⋅6
Answer:
Step-by-step explanation:
it would be 5*2*4
5*2+5*4.
im feeling generous. entertain me
Answer:
-,-
Step-by-step explanation:
what is the y-int of the curve
Answer:
The y-intercept is (0,3)
Step-by-step explanation:
will mark brainiest pls just lmk
Answer:
If asking for the distance, the answer would be C.
What is the unit rate for the Japanese bullet train?
558 x 3 = 1674 miles per hour
558 / 3 = 186 miles per hour
PLEEEEEEEEAAAAAAASSSSSEEEEEE HEEEEEEELP
Answer:
186 Miles per hour.
Step-by-step explanation:
558/3
WILL GIVE BRAINLIEST!! The data set {2,5,q,10,13,16} has mean x¯=9
Find the value of q
Answer:
#3. 8Step-by-step explanation:
Frequency of data
6Sum of data:
2 + 5 + q + 10 + 13 + 16 = 46 + qSum of data as per mean and frequencies:
9*6 = 54Compare the sums:
46 + q = 54q = 54 - 46q = 8Correct choice is #3. 8
What is the result of adding 3 to–3?
A)–6
B)–3
C) 0
D) 6
Answer:
c 0
Step-by-step explanation:
3+-3=0
Given: G is the centroid of isosceles triangle AEC, AB = 6 units, and A F = 5 units.
What is the perimeter?
Answer:
32
Step-by-step explanation:
Given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units
To understand how to derive the perimeter of [tex]\triangle AEC[/tex], recall the following related to centroid of a triangle in reference to the image in the attachment below:
Medians of a triangle (i.e. AE, CD, and FB) connects the vertices (i.e. A, B & C) of a triangle to the midpoints (i.e. F, D, & E) of the opposite sides of the triangle.Centroid (i.e. O) is a point of concurrency of the triangle.By implication, all sides the triangle (i.e. AC, AB, & BC) are divided into two equal segments (i.e. FA= CF, AD = BD, & CE = BE)
Also, note that:
Isosceles triangle have two equal sides (in triangle AEC given, EA = EC)We're going to apply the above stated facts to solve the problem given since we are told that G is the centroid of the isosceles [tex]\triangle AEC[/tex]:
Thus:
G = centroid (given)
AB = 6 units (given)
FA = 5 units (given)
EA = EC (equal sides of isosceles triangle)
Therefore:EF = FA = 5 units
EA = EF + FA
SubstituteEA = 5 + 5
EA = 10 units
EC = EA (equal sides of isosceles)
EC = 10 units
AB = CB = 6 units
AC = AB + CB
SubstituteAC = 6 + 6
AC = 12 units
Perimeter of triangle AEC = AC + EA + EC
SubstitutePerimeter of triangle AEC = 12 + 10 + 10 = 32 units
Therefore, given that G is the centroid of triangle AEC, the perimeter of triangle AEC is: A. 32 units
Learn more about centroid of a triangle here:
https://brainly.com/question/350143
log x=4 a.10^x=4 b. e^4=x c. 10^x=x d.e^x=4
Answer:
Answer: ∫ (x +1 + 1 x. )dx = 1. 2 x2 + x + ln|x| + C. 3. Evaluate the following integrals. (a) ∫. 2. 0 √4 − y2 dy.
simplify 32q2r2/4q3r
Answer: 16q5r2
Step-by-step explanation:
ASAP I NEED YOU HELP 10 POINTS MARK YOU BRANLIEST JUST HELP ME!!!!
Choose the Algebraic equation that matches the table
A) y = x - 3
B) y = x + 2
C) y = x - 2
D) y = -x - 2
Answer:
C) y = x-2
Step-by-step explanation:
0-2= -2
2-2= 0
3-2= 1
4-2= 2
And all of that checks out because the values I just got for y are the same as the table
hope this helps chu <3