Answer:
[tex]h=8.48\ \text{inches}[/tex]
Step-by-step explanation:
Given that,
Radius of cone, r = 7 inches
Slant height of the cone, l = 11 inches
We need to find the height of the cone. Let the height be h. Using trigonometry to find it as follows :
[tex]h^2+r^2=l^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{11^2-7^2}\\\\h=8.48\ \text{inches}[/tex]
So, the height of the cone is equal to [tex]8.48\ \text{inches}[/tex].
Heya!
Answer:
√72
Step-by-step explanation:
Use Pythagorean:
h² + (14/2)² = 11²
h² + 49 = 121
h² = 121 - 49
h² = 72
h = √72 in
Hope this helps <33
the cost of tuition at a local college is $10,000 and increases 4% each year.what is the cost of tuition after 5 years?
will the contents of a cylindrical can of soup with a 1.5-inch radius and a 5-inch height fit into a pan with a 4-inch radius and 3-inch height?
Answer:
Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.
Step-by-step explanation:
a. V = s3
V = (7 km)3
V = 7 km × 7 km × 7 km
V = 343 km3
b. V = s3
V = (11 yd.)3
V = 11 yd. × 11 yd. × 11 yd.
V = 1,331 km cu. yd.
a. V = l × w × h
V = 6 m × 2 m × 3 m
V = 36 m3
b. V = l × w × h
V = 5 ft. × 10 ft. × 8 ft.
V = 400 cu. ft.
a. V = πr2h
V = 3.14 × (3 in.)2 × 3 in.
V = 3.14 × 9 sq. in. × 3 in.
V = 84.78 cu. in.
b. V = πr2h
V = 3.14 × (1 m)2 × 4 m
V = 3.14 × 1 m2 × 4 m
V = 12.56 m3
V = s3
V = (2 ft.)3
V = 2 ft. × 2 ft. × 2 ft.
V = 8 cu. ft.
Answer: The capacity of the ice chest is 8 cubic feet.
V = πr2h
V = 3.14 × (1 ft.)2 × 3 ft.
V = 3.14 × 1 sq. ft. × 3 ft.
V = 9.42 cu. ft.
Answer: The volume of the trash can is 9.42 cubic feet.
Closet #1
V = l × w × h
V = 4 ft. × 5 ft. × 8 ft.
V = 160 cu. ft.
Closet #2
V = l × w × h
V = 6 ft. × 3 ft. × 8 ft.
V = 144 cu. ft.
Compare the size of the closets
160 cu. ft. > 144 cu. ft.
Answer: The first closet is larger.
Both the can and the pan are cylindrical shapes. Compare the volumes of the two objects.
Volume of Can
V = πr2h
V = 3.14 × (1.5 in.)2 × 5 in.
V = 3.14 × 2.25 sq. in. × 5 in.
V = 35.325 cu. in.
Volume of Pan
V = πr2h
V = 3.14 × (4 in.)2 × 3 in.
V = 3.14 × 16 sq. in.× 3 in.
V = 150.72 cu. in.
35.325 cu. in. soup can < 150.72 cu. in pan
Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.
Answer:
1.
a. V = s3
V = (7 km)3
V = 7 km × 7 km × 7 km
V = 343 km3
b. V = s3
V = (11 yd.)3
V = 11 yd. × 11 yd. × 11 yd.
V = 1,331 km cu. yd.
2.
a. V = l × w × h
V = 6 m × 2 m × 3 m
V = 36 m3
b. V = l × w × h
V = 5 ft. × 10 ft. × 8 ft.
V = 400 cu. ft.
3.
a. V = πr2h
V = 3.14 × (3 in.)2 × 3 in.
V = 3.14 × 9 sq. in. × 3 in.
V = 84.78 cu. in.
b. V = πr2h
V = 3.14 × (1 m)2 × 4 m
V = 3.14 × 1 m2 × 4 m
V = 12.56 m3
5.
V = s3
V = (2 ft.)3
V = 2 ft. × 2 ft. × 2 ft.
V = 8 cu. ft.
Answer: The capacity of the ice chest is 8 cubic feet.
V = πr2h
V = 3.14 × (1 ft.)2 × 3 ft.
V = 3.14 × 1 sq. ft. × 3 ft.
V = 9.42 cu. ft.
Answer: The volume of the trash can is 9.42 cubic feet.
Closet #1
V = l × w × h
V = 4 ft. × 5 ft. × 8 ft.
V = 160 cu. ft.
Closet #2
V = l × w × h
V = 6 ft. × 3 ft. × 8 ft.
V = 144 cu. ft.
Compare the size of the closets
160 cu. ft. > 144 cu. ft.
Answer: The first closet is larger.
Both the can and the pan are cylindrical shapes. Compare the volumes of the two objects.
Volume of Can
6.
V = πr2h
V = 3.14 × (1.5 in.)2 × 5 in.
V = 3.14 × 2.25 sq. in. × 5 in.
V = 35.325 cu. in.
Volume of Pan
V = πr2h
V = 3.14 × (4 in.)2 × 3 in.
V = 3.14 × 16 sq. in.× 3 in.
V = 150.72 cu. in.
35.325 cu. in. soup can < 150.72 cu. in pan
Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.Step-by-step explanation:
Ben has 13 fewer beads than Jori. Ben has 27 beads.
How many beads does Jori have?
Answer: 40 beads
Step-by-step explanation: Its said that Ben have 13 fewer beads than Jori. That mean 27+13=40
Answer:
40
Step-by-step explanation:
27 + 13 = 40
write the equation of the center (2,5) and passes through the point (8,5)
Answer: varibles coffeeefishents exponets study then eat
Step-by-step explanation:
whaeat is 2+3,inweed to thiks for kingergarten plwse help
Answer:
2 + 3 = 5
Step-by-step explanation:
ones Place Value
2 + 3 = 5
Put the 5 in Ones place
carry
2
+ 3
= 5
-3 (w-3) - 9w - 9 = 4(w+2) - 12
HELPPPPP
Answer:
w = 1/4
Step-by-step explanation:
Distribute:
-3w + 9 - 9w -9 = 4w + 8 -12
Combine like terms:
-16w = -4
w = 1/4
Answer:
w=1/4
Step-by-step explanation:
-3w+9-9w-9=4w+8-12
-12w=4w+8-12
-12w=4w-4
-12w-4w=-4
-16w=-4
w=-4/-16
w=1/4
Help ASAP giving brainliest
Answer:
24÷8=3
Step-by-step explanation:
because 24÷8=3
6-
5-
1 -
3-
S
2
7 T
1
0
1
1
1
2
3
1
4.
T
S
T
6
7
8
9
(a) Describe fully the single transformation that maps triangle S onto triangle T.
Answer:
c=45 +679 =6y=8h
Step-by-step explanation:
HELP?!? WHAT IS 2 x 2?
Use this if u need points? 2 3 4 10
Answer:
4 bc it is simple math
Step-by-step explanation:
pls give brainliest
help I keep getting it wrong
Answer:
what?????????????????????????
Answer:
What do you need help with?
Step-by-step explanation:
FIND THE AREA (LEAVE EXPLANATION)
Answer:
40
Step-by-step explanation:
solve for two squares. Square 1: 32. Square 2: 8. answer: 32 + 8
Find the area of the shade region in the shown below.
Step-by-step explanation:
rectangle
= 15.3 × (8.2 - 5.7 )
= 15.3 × 2.5
= 38.25
triangle
= 1/2 × (15.3 - 5.1+6.7) × 5.7
= 1/2 × 3.5 × 5.7
= 1/2 × 19.95
= 9, 97
total = 38.25+9.97 = 48.22 ft
21. Which two ratios can be represented by a ratio of 7 to 12?
A the ratio of shells to rocks if there are 7 rocks and 12 shells
B the ratio of shoes to dresses if there are 7 dresses and 12 shoes
c the ratio of shots made to shots taken if 7 out of 12 shots taken are made
D the ratio of sick patients to total patients if there are 7 sick patients and 12 healthy patients
E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs
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Answer:
c the ratio of shots made to shots taken if 7 out of 12 shots taken are made
E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by a divided by b.
A the ratio of shells to rocks if there are 7 rocks and 12 shells
12 shells and 7 rocks, so this ratio is 12 to 7.
B the ratio of shoes to dresses if there are 7 dresses and 12 shoes
12 shoes and 7 dresses, so this ratio is 12 to 7.
c the ratio of shots made to shots taken if 7 out of 12 shots taken are made
7 shots made out of 12 taken, so this ratio is 7 to 12, and c is one of the correct options.
D the ratio of sick patients to total patients if there are 7 sick patients and 12 healthy patients
7 sick patients
7 + 12 = 19 total patients
So this ratio is 7 to 19
E the ratio of small dogs to big dogs if there are 7 small dogs and 12 big dogs
7 small dogs and 12 big dogs, so this ratio is 7 to 12, and e is the other correct option.
Find Tan N=
2/5
5/2
3/4
4/3
Will mark brainliest
An airport limousine can accommodate up to four passengers on any one trip. The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation. From previous records, 35% of all those making reservations do not appear for the trip.A) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?B) If six reservations are made, what is the expected number of available places when the limousine departs?C) Suppose the probability distribution of the number of reservations made is given in the accompanying table.Number of reservations 3 4 5 6Probability 0.09 0.25 0.32 0.34Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
Answer:
a) 0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.
b) The expected number of available places when the limousine departs is 0.1.
c) [tex]P(X = 3) = 0.09[/tex]
[tex]P(X = 4) = 0.25[/tex]
[tex]P(X = 5) = 0.32[/tex]
[tex]P(X = 6) = 0.34[/tex]
Step-by-step explanation:
For each reservation, there are only two possible outcomes. Either the person appears for the trip, or the person does not. The probability of a person appearing for the trip is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is given by:
[tex]E(X) = np[/tex]
The company will accept a maximum of six reservations for a trip, and a passenger must have a reservation.
This means that [tex]n = 6[/tex]
35% of all those making reservations do not appear for the trip.
This means that 100 - 35 = 65% appear, so [tex]p = 0.65[/tex]
A) If six reservations are made, what is the probability that at least one individual with a reservation cannot be accommodated on the trip?
This will happen if more than four appear, as the limousine can accommodate up to four passengers on any one trip. So
[tex]P(X > 4) = P(X = 5) + P(X = 6)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{6,5}.(0.65)^{5}.(0.35)^{1} = 0.2437[/tex]
[tex]P(X = 6) = C_{6,6}.(0.65)^{6}.(0.35)^{0} = 0.0754[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) = 0.2437 + 0.0754 = 0.3191[/tex]
0.3191 = 31.91% probability that at least one individual with a reservation cannot be accommodated on the trip.
B) If six reservations are made, what is the expected number of available places when the limousine departs?
The expected number of arrivals is given by:
[tex]E(X) = np = 6*0.65 = 3.9[/tex]
Since the are four places:
4 - 3.9 = 0.1
The expected number of available places when the limousine departs is 0.1.
C) Suppose the probability distribution of the number of reservations made is given in the accompanying table.Number of reservations 3 4 5 6Probability 0.09 0.25 0.32 0.34Let X denote the number of passengers on a randomly selected trip. Obtain the probability mass function of X.
This is the probability of each outcome. So
[tex]P(X = 3) = 0.09[/tex]
[tex]P(X = 4) = 0.25[/tex]
[tex]P(X = 5) = 0.32[/tex]
[tex]P(X = 6) = 0.34[/tex]
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450. What is the interest rate percentage? Round the answer to the nearest hundredth.
Rate of interest by which amount $181.25 becomes $1450 in 7 years by continuous compounding will be 29.71%.
Rule for the continuous compounding: Expression for the final amount comounded continuously is given by,
Final amount = [tex]Pe^{rt}[/tex]
Here, P = Principal amount
r = Rate of interest
t = Duration of investment
Given in the question,
P = $181.25
t = 7 years
Final amount = $1450
Substitute these values in the expression,
[tex]1450=181.25e^{7r}[/tex]
[tex]e^{7r}=8[/tex]
[tex]\text{ln}(e)^{7r}=\text{ln}(8)[/tex]
[tex]7r=2.07944[/tex]
[tex]r=0.2971[/tex]
[tex]r=29.71\%[/tex]
Therefore, rate of intereset for the investment is 29.71%.
Learn more about continuous compounding here,
https://brainly.com/question/13079114?referrer=searchResults
Pls answer quick and small explanation quick for brainlessiest answer
Answer:
Your answer is C.
exponential is to the power of a value and hence c meets the requirements
Dylan bought 3 identical shirts online for a total cost of $71.83 including a flat rate of $7.99 for shipping, Drag numbers to complete an equation to find
the cost of each shirt, s. Each number may be used only once.
3
7.99
71.83
Answer:
3s+7.99= 71.83 .
Step-by-step explanation:
since there are 3 shirts you would multiply s by 3 so 3s. To me it looks like 7.99 is the constant and 71.83 is the total including this constant. so putting all of these together in y=mx+b format you get the equation 71.83= 3s+7.99
hope this helps
the slope of (-2, -19) and (-12, 11)
m∠1=119∘ and m∠2=61∘.
What is m∠3?
Answer:
m∠3 = 119°
Step-by-step explanation:
All the angles must equal 360° when added together. You have two known angles that are right next to each other. If you add m∠1 and m∠2, 119 + 61, it is equal to 180°. This means that m∠3 and m∠4 must be equal to 180° as well and since there are only two lines, it is safe to assume that opposing angles are the same so m∠1 = m∠3 and m∠2 = m∠4.
Answer:
K12 answer
Step-by-step explanation:
Simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 x2 + 1 x2 − 1 x − 4 x + 4
First off, remember that finding the x-intercepts means setting y equal to zero and solving for the x-values, so this question is really asking you to "Solve 4x2 – 2x – 5 = 0".
Now, let's start the completing-the-square process. To begin, we have the original equation (or, if we had to solve first for "= 0", the "equals zero" form of the equation). In this case, we were asked for the x-intercepts of a quadratic function, which meant that we set the function equal to zero
Answer:
D . x + 4Step-by-step explanation:
(x² + 6x + 8) / (x + 2) =(x² + 2x + 4x + 8) / (x + 2) = (x + 2)(x + 4) / (x + 2) = x + 4Correct choice is D
For the equation, y = 12x, what is the slope of the line?
x is greater than 15 A)x>15 B)x<15 C)x≥15 D)x≤15
Find a number so that 93.4% of it is 107.
Answer:
~114.56
Step-by-step explanation:
Because you're asked to find the number so that x% is y, we will have to find that number. The equation in that case would be NUM * 0.934 = 107. Divide both sides by .934 to get an answer of approximately 114.56.
Consider the graphs of f(x) and g(x).
ent
f(x)
g(x)
If g(x) = f(x) + k, find the value of k.
Answer:
K=7
Step-by-step explanation:
hope it helps you
have a wonderful day!!!
help me if you real big brain. if not pass by
Answer:
The area of this shape can not be solved using the information given
Step-by-step explanation:
There is no given side length of any of the shapes.
If one side is given then the whole shape could be solved.
Mr benson wrote y=-x+15 as the equation of a line he asked three of his students to write an equation of a non coincident line that is parallel to the line y=-x+15
1/4x + ½ = 2/4x + ¾
what are the steps
Answer:
x=-1
Step-by-step explanation:
1/4x+1/2=2/4x+3/4
1/4x+2/4=2/4x+3/4
2/4=(2/4x-1/4x)+3/4
2/4=1/4x+3/4
2/4-3/4=1/4x
-1/4=1/4x
-1=x
x=-1
tamelas school day is 6 3/4 hours. She has seven classes that are 3/4 hour long. How many hours is Tamela not in class while she is at school
A: 1 1/2
B: 5 1/4
C: 6
D: 18 3/4
Answer:
A because 6.75 - 5.25 is 1.5
NO LINKS PLEASE and make sure it's correct
Answer:
regroup
Step-by-step explanation: