Answer:
[tex]\frac{75}{4\pi }[/tex] inches or approximately 5.97 inches
Step-by-step explanation:
Use the cone volume formula: V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
The diameter is 8 inches, so the radius will be 4 inches.
Plug in the radius and volume, and solve for h
V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
100 = [tex]\pi[/tex](4²)([tex]\frac{h}{3}[/tex])
100 = 16[tex]\pi[/tex][tex]\frac{h}{3}[/tex]
Divide each side by 16[tex]\pi[/tex]
[tex]\frac{25}{4\pi }[/tex] = [tex]\frac{h}{3}[/tex]
Cross multiply and solve for h:
4[tex]\pi[/tex]h = 75
h = [tex]\frac{75}{4\pi }[/tex]
So, the cone's height is [tex]\frac{75}{4\pi }[/tex] or approximately 5.97 inches
Mr. Smith's class took a test! The scores of one group are listed below.
70, 60, 80, 85, 90
What is the mean absolute deviation of the data set?
Answer:
B
Step-by-step explanation:
Answer:
77
Step-by-step explanation:
add them all together and then divide by 5
Can someone plz help me with these United rates and explain step by step ?
Which describes the graph of the inequality g(x)>2√3x+2?
A. Shading above a solid line
B. Shading above a dotted line
C. Shading below a dotted line
D. Shading below a solid line
Answer:
A. Shading above a solid line.
Step-by-step explanation:
Let [tex]f(x) = 2\sqrt{3}\cdot x + 2[/tex], whose domain is all real numbers, since it is a first order polynomial (linear function) and meaning that for all element of [tex]x[/tex] exists one and only one value for [tex]f(x)[/tex], meaning a solid line. If [tex]g(x) > f(x)[/tex], then the range of all possible results is a shade area above the solid line.
Hence, the correct answer is A.
hi please help i’ll give brainliest
Answer:
between Jupiter and mars
Answer:
Choice A
Step-by-step explanation:
The Asteroid Belt in our Solar System is in-between the planets Jupiter and Mars.
The asteroid belt is a torus-shaped region in the Solar System, located roughly between the orbits of the planets Jupiter and Mars, that is occupied by a great many solid, irregularly shaped bodies, of many sizes but much smaller than planets, called asteroids or minor planets.
PLSS HELP MEE AND NO BOTS I WILL REPORT Find the equation of the line below. If necessary, use a slash (/) to indicate a
division bar.
(6,1)
Question is in picture
Answer:
The answer is 32 inches
65 - 33 = 32
How many students are enrolled in a course either in calculus, discrete mathematics, data structures, 7. or programming languages at a school if there are 507, 292, 312, and 344 students in these courses, respectively; 14 in both calculus and data structures; 213 in both calculus and programming languages; 211 in both discrete mathematics 558 and data structures; 43 in both discrete mathematics and programming languages; and no student may take calculus and discrete mathematics, or data structures and programming languages, concurrently
Answer:
974
Step-by-step explanation:
Let assume that:
The set of student that took part in Calculus be = C
Those that took part in discrete mathematics be = D
Let those that took part in data structures be = DS; &
Those that took part in Programming language be = P
Thus;
{C} = 507
{D} = 292
{DS} = 312
{P} = 344
For intersections:
{C ∩ DS} = 14
{C ∩ P} = 213
{D ∩ DS} = 211
{D ∩ P} =43
{C ∩ D} = 0
{DS ∩ P} = 0
{C ∩ D ∩ DS ∩ P} = 0
According to principle of inclusion-exclusion;
{C ∪ D ∪ DS ∪ P} = {C} + {D} + {DS} + {P} - {C ∩ D} - {C ∩ DS} - {C ∩ P} - {D ∩ DS} - {D ∩ P} - {DS ∩ P}
{C ∪ D ∪ DS ∪ P} = 507 + 292 + 312 + 344 - 14 - 213 - 211 - 43 - 0
{C ∪ D ∪ DS ∪ P} = 974
Hence, the no of students that took part in either course = 974
What is the measure of the other acute angle? Pls explain how you got your answer
Answer:
30 degrees
all triangles equal 180 degrees
90+60=150
180-150=30
Step-by-step explanation:
Can someone plz help me
Answer:
IT's d!!!!!
Step-by-step explanation:
a restaurant used 6.5 ounces of cheese to make 5 slices of pizza. if each slice had the same amount of cheese, how much was on each slice?
Answer:
1.3 ounces, 1.3*5 =6.5
A cone has a base diameter of 20 centimeters. Its height is 30 centimeters. Calculate the volume in cubic centimeters to the nearest tenth
Answer:
The volume of the cone is 3140cm³
Step-by-step explanation:
Volume of come = 1/3 × πr²h
r = diameter/2 = 20/2 = 10cm
h = 30cm
π = 22/7
Volume = 1/3 × 22/7 × 10² × 30
Volume = 1/3 × 22/7 × 100 × 30
Volume = 3142.86cm³
Volume = 3140cm³
Help ASAP! Find The Area Of A Circle With R =20.5
Answer:
Step-by-step explanation:
Pi*r^2 = Area
20.5^2 * Pi = 1320.25
Can someone help me out please.
Answer:
area = (10 x 19) - (0.5 x 19 x 5) = 142.5 in²
Step-by-step explanation:
Answer:
142.5 in^2
Step-by-step explanation:
Area of trapezoid= a + b / 2 · h (a and b are bases of the trapezoid)
A= 5 + 10 / 2 · 19
A= 15 / 2 · 19
A= 7.5 · 19
A= 142.5 in^2
This is just one way to do it. There are many more ways.
use multiples to determine the LCM of 45and 60
Answer:
LCM of 45 and 60: 180
Step-by-step explanation:
Please answer <33 I would lava it :)
Answer:
5 gallons
Step-by-step explanation:
3/4 + 6/8 + 20/8 + 1
6/8 + 6/8 + 20/8 + 8/8
40/8 = 5 gallons
Two parallel lines, I and m, are cut by a transversal, t, as shown below.
1
(17x + 14)
((48-2°
m
What is the value of z?
Answer:
x = 8
Step-by-step explanation:
alternate-interior angles equal 180°
17x + 14 + 4x - 2 = 180
21x + 12 = 180
21x = 168
x = 8
help me bros, this question is a big part of my grade!!
Answer:
6.
m1 : 61
m2 : 61
m3 : 29
7.
m1 : 87
m2 : 45
m3 : 45
m4 : 52
Answer this question to get marked as barinliest!!!!
which of the following expressions are equivalent to -2/3? select all that apply
A. -1/9 x 6
B. -15 ÷ 10
C. 12 ÷ -18
D. -3/4 ÷ 1/2
E. -8/9 x 3/4
Answer:
A.
C.
E.
Step-by-step explanation:
A
-1/9×6=
-1/9×6/1= -6/9 = -2/3
B
-15 ÷ 10
-15/1 ÷ 10/1
-15/1 × 1/10 = -15/10 = -3/2
C
12 ÷ -18 =
12/1 ÷ -18/1 =
12/1 × -1/18 = -12/18 = -2/3
D
-3/4 ÷ 1/2 =
-3/4 × 2/1 = -6/4 = -3/2
E
-8/9 × 3/4 = -24/36 = -2/3
12 pumpkins cost 24.60 how much will it cost for 8 pumpkins also
I can run 5 laps in 1 1/4 hours how many laps could I run in a day
Answer:
the second one is 20 i think
Step-by-step explanation:
A drinking glass is shaped like a cylinder, as shown below.
study the figure below...
8 centimeters... 16 centimeters...
Which measurement is closest to the volume of the drinking glass in cubic centimeters?
A. 6434 cm3
A. 6,434 centimeters cubed,
B. 804 cm3
B. , 804 centimeters cubed, ,
C. 1608 cm3
C. , 1,608 centimeters cubed, ,
D. 3217 cm3
Answer:
804 cm3
Step-by-step explanation:
multiply the lenght and the width then multiply by 3.14 which is pi.
Can someone help me with this. Will Mark brainliest . Need answer and work/explanation. Thank you.
Answer:
Hope it helps...
Step-by-step explanation:
PLSS HELP IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link!
Answer:
They have air-filled pockets in their leaves
Step-by-step explanation:
What is the surface area of the rectangular prism below
7 7 14
A.496 B.490 C.980 D.248
Answer:
B
Step-by-step explanation:
Formula
SA = 2*L*W + 2*L*H + 2*H*W
Givens
L = 14
W = 7
H = 7
Solution
SA = 2*14*7 + 2*14*7 + 2*7*7
SA = 196 + 196 + 98
SA = 490
$12 with a 85% markup
12+85% is $22.20
80%x12=9.6
5%x12=0.6
9.6+0.6=10.2
12+10.2=22.20
Answer: $22.20
You spin the spinner twice what is the probability of landing on a three and then landing on a number greater than three
Answer:
2/4
Step-by-step explanation:
Which numbers are integers?Check all that apply.
15
-9
Two-thirds
6 and StartFraction 1 Over 9 EndFraction
0
-3,128
4.76
Answer:
the intergers include all negative whole numbers,zero,positive whole numbers
Answer:
the answer is 15. -9. 0. -3,128
Step-by-step explanation:
Graph y=−2x+5 and y=−12x−3 . Are the lines parallel, perpendicular, or neither?
Free write plssss write something use your imagination and be creative with it!!!!! Worth a lot of points
Answer:
Write abt a poem you like or something
Step-by-step explanation:
3 feet
5 feet
4 feet
Answer:
Post the question along with this