HELP ME OUT PLS!!!!!
What is the volume of this cone? Use 3.14 for and round your answer to the nearest tenth. In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it. (Note: type out all of your work AND type out your explanation for FULL credit.)
Answers
We observe that the
height of the cone is 8 in.
radius of the cone is 2 in.
Volume of a cone = 1/3 π r² h
where R = radius and h = height
Using the formula we get :
Volume = 1/3 π 2 × 2 × 8
= 32 / 3 π cm³
= 33.5 cm³ ( rounded to 10)
Related Questions
The line L passes through the points (5, -5) and (1, 2).
Find the gradient of line L.
Answers
gradient of L = -7/4
Explanation:
[tex]\sf gradient = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Insert the following values.
[tex]\rightarrow \sf \dfrac{2-(-5)}{1-5}[/tex]
[tex]\rightarrow \sf \dfrac{7}{-4}[/tex]
[tex]\rightarrow \sf -\dfrac{7}{4}[/tex]
Use the slope formula:-
(the slope is the same as the gradient)
[tex]\sf{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\sf{\displaystyle\frac{2-(-5)}{1-5}}[/tex]
[tex]\sf{\displaystyle\frac{2+5}{-4} }=\frac{7}{-4} ={\boxed{-\frac{7}{4} }}\leftarrow\sf{slope~of~line~L}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
An observation tower is 65m high. A support wire is attached to the tower 30m from the top. If the support wire and the ground form an angle of 56 degrees, what is the length of the support wire, to the nearest tenth?
Answers
The support wire is the hypotenuse of the right triangle formed. Therefore, the length of the support wire is 42.2 meters.
The situation forms a right angle triangle.
Right angle triangleA right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore, the height of the tower where the wire was attached is the opposite side of the triangle formed.
The wire was attached 30 m from the top. Hence, 65m - 30m = 35 m.
Therefore,
sin 56° = opposite / hypotenuse
sin 56° = 35 / x
The hypotenuse is the length of the support wire.
Therefore,
x = 35 / 0.82903757255
x = 42.2195416164
x = 42.2 m
learn more on right angle here: https://brainly.com/question/9495022
Help. What is the aswer?
Answers
Answer:
12+6.25pi= 31.63495408 Ft squared
Step-by-step explanation:
Area of each individual triangle is 3 by 4 by 1/2
Area of each semicircle is 1/2 2.5 ^2 pi
Sal is making bracelets for a fundraiser. He uses 6 inches of yarn per bracelet. how many bracelets can Sal make?
Answers
Answer:
He should consider using an exuberant amount of yarn to raise money for charity. How much yarn is available?
Evaluate the expression r3 + 4r2 s for r = – 3 and s = 2.
Answers
Answer:
Sorry if I did wrong..I tried my best
Step-by-step explanation:
-3×3+4×-3×2
-9-12×2
-21×2
-42 ans
Between which two consecutive whole number is V67 located? NEED HELP PLEASE
Answers
Answer:
betweennnnnnn 8 and 9!!! :)
The hexagon shown is divided into 4 triangles and a rectangle.
What is the area of the hexagon in square centimeters?
Answers
Answer: My good friend this answer is 222.4 because if you take the 16 cm and the 13.9 cm and mulitply the you will get 222.4 and thank you for chosing me.
Step-by-step explanation:
NEED HELP ASAP
!!!!!!!
Answers
Answer:
P = 184 yards
C = 175.84 centimetres
P = 212 m
Step-by-step explanation:
P = 2(150 yards) + 2(92 yards)
P = 300 yards + 184 yards
P = 184 yards
C = 2(3.14) × (28 centimetres)
C = 6.28 × (28 centimetres)
C = 175.84 centimetres
P = 104 m + 32 m + 76 m
P = 212 m
Donte bought a computer that was 20% off the regular price $1,080. If an 8% sales tax was added to the cost of the computer, what was the total price donte paid for
Answers
Answer:
$933.12
Step-by-step explanation:
So 20% of $1,080 is 216.
1080 - 216 is 864
8% of 864 is 69.12
864 + 69.12 would be $933.12
José is painting a backdrop for the school
play. The rectangular backdrop is
60 inches by 45 inches. If his container of
paint can cover 25 square feet, does
he have enough to paint the backdrop?
Answers
Answer:
Definitely not
Step-by-step explanation:
60*45 = 2700 and 2700 square inches converted into feet is 225 square feet
A: x+90=180
B: 2x+90=180
C: x-90=180
D: Not enough info
Answers
Answer:
(B) 2x + 90 = 180 is an equation that could be used to find x.
Step-by-step explanation:
Observing at the triangle, we can see that..
- We are aware of two angel measurements, both of which are 45 degrees.
One triangle is exactly 180 degrees and if you add both 2 angel measurements from the triangles...
45 + 45 = 90 degrees
180 - 90 = 90 degrees
As a result, we know that x = 90. Now we find the equation. Lets look at equation B. ( 2x + 90 = 180 )
Step 1 : 90 should be subtracted from both sides.
2x + 90 − 90 = 180 − 90
2x = 90
Step 2 : Divide both sides by 2.
(When I use the symbol /, it signifies I'm dividing.)
2x/2 = 90/2
x = 45
Step 3: Examine your solution to see whether it is right.
2x + 90 = 180
2(45) + 90 = 180
90 + 90 = 180 ✓
This shows that 2x + 90 = 180 is an equation that could be used to find x.
Hope this helps! :D
Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ < 360°.)
= 6i + 2sqrt3j
Answers
[tex]6i~~ + ~~2\sqrt{3}j\implies < \stackrel{a}{6}~~,~~\stackrel{b}{2\sqrt{3}} > \\\\[-0.35em] ~\dotfill\\\\ \stackrel{magnitude}{\sqrt{a^2+b^2}}\implies \sqrt{6^2+(2\sqrt{3})^2}\implies \sqrt{36+(2^2\cdot 3)}\implies \sqrt{36+12}\implies \sqrt{48} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{direction}{tan^{-1}\left( \cfrac{b}{a}\right)}\implies tan^{-1}\left( \cfrac{2\sqrt{3}}{6} \right)\implies tan^{-1}\left( \cfrac{\sqrt{3}}{3} \right) \\\\\\ tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies 30^o[/tex]
6. Which is the BEST estimate of 2.4679+7.4939? A)O5.5
B)4 x 5
C)6x6
D)5x 6
Answers
Answer:
A
Step-by-step explanation:
It because I think it is the correct
II. A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in an upcoming election. A poll of 150 randomly selected voters is taken, and 78 of those selected plan to vote for the incumbent candidate. Construct a 90% confidence interval for the proportion of all voters who plan to vote for the incumbent candidate.
a
(0.02709, 0.09291)
b
(0.4529, 0.5871)
c
(0.02131, 0.09869)
d
(0.0309, 0.0691)
Answers
a number d is decreased by 5 and then doubled
Answers
doubled, then we can represent that event with an algebraic expression as:
2 x (d - 5)
The line MN is shown on the grid.
Find the equation of the perpendicular bisector of line MN.
Answers
Find midpoint coordinates:
[tex]\rightarrow \sf (\dfrac{-1+3}{2} ), \ (\dfrac{7+(-1)}{2} )[/tex]
[tex]\hookrightarrow \sf (1, \ 3)[/tex]
Find the gradient of MN:
[tex]\dashrightarrow \sf \dfrac{-1-7}{3-(-1)}[/tex]
[tex]\dashrightarrow \sf -2[/tex]
slope of perpendicular bisector:
[tex]\rightarrow \sf \dfrac{1}{2}[/tex]
Equation:
[tex]\sf \rightarrow y = \dfrac{1}{2}x+\dfrac{5}{2}[/tex]
Answer:
[tex]y=\dfrac12x+\dfrac52[/tex]
Step-by-step explanation:
M = (-1, 7)
N = (3, -1)
[tex]\sf slope\:of\:MN=\dfrac{y_n-y_m}{x_n-x_m}= \dfrac{-1-7}{3-(-1)}=-2[/tex]
If two lines are perpendicular to each other, the product of their slopes will be -1. Therefore, the slope (m) of the line perpendicular to MN is:
[tex]\sf \implies -2 \times m=-1[/tex]
[tex]\sf \implies m=\dfrac12[/tex]
If the line bisects the line MN, it will intersect it at the midpoint of MN:
[tex]\begin{aligned}\textsf{Midpoint of MN} & =\left(\dfrac{x_m+x_n}{2},\dfrac{y_m+y_n}{2}\right)\\ & =\left(\dfrac{-1+3}{2},\dfrac{7+(-1)}{2}\right)\\ & =(1,3)\end{aligned}[/tex]
Finally, use the point-slope form of the linear equation with the found slope and the midpoint of MN:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]\implies y-3=\dfrac12(x-1)[/tex]
[tex]\implies y=\dfrac12x+\dfrac52[/tex]
If you can buy 15 bags of potatoes for $20, then how many can you buy with $4?
Answers
Answer:
Step-by-step explanation:
15 bags for $20 can be represented with 15/20
so x bags for $4 can be represented with x/4
now if you proportion it out (ricochet), 4x15 is 60, 60 divided by 20 is 3, so you can buy 3 bags of potatoes with $4.
OR
you could do 15/20 is 0.75
0.75 times 4 is 3, so $4 can buy you 3 bags.
Answer:
Step-by-step explanation:
Remark
This is a proportion problem. It assumes that if you know 3 of the four parts of a 2 ratio proportion, you can solve for the 4th one.
Givens
number of bags = 15
Cost = 20
Different cost = 4
number of bags = ?
Formula
Number of bags / Cost = different number of bags/ New Cost
Solution
15/20 = x / 4 Multiply both sides by 4
15*4/20 = x / 4 * 4
60/20 = x
Answer x = 3
That is 4 dollars gets you 3 bags of potatoes
If you are traveling in your car at an average rate of r miles per hour for T hours, then the distance d in miles that you travel is described by the formula d=rt that is distance equals rate times time. A distance of 60 miles at an average rate of 40 miles per hour is covered in ___ hours?
Answers
Answer:
1.5 hr
Step-by-step explanation:
d = rt
re-arrange to
d/r = t
60 miles / 40 miles/hr = 1.5 hr
a plane traveled 1hr and 20 min why coming back it use 80 min why?
this is a challenge guys let's do it
Answers
Answer:
one hour have 60 minutes and the plane took one hour and 20 minutes so total it used 80 minutes
if p and q are two propositions,use truth table technique to show that a) (p=q) ^ (q=p)= p=q and b) [(p=q) ^ p]=q is a Tautology
Answers
Answer:
see attached
Step-by-step explanation:
The truth table technique shows the first proposition is True. However, the second proposition cannot be shown to be a tautology, because it isn't true.
__
a.The "equals" relation is commutative: (a=b) ≡ (b=a), hence the expression ...
(p=q)∧(q=p)
is equivalent to
(p=q)∧(p=q)
We know that the And of p with itself is just p, so that fact ensures the truth of ...
(p=q)∧(p=q) = (p=q)
Hence
(p=q)∧(q=p) = (p=q)
The top truth table in the attached shows the final comparison of the two expressions is true for all values of p and q.
__
b.The attached truth table shows that the given relation is not a tautology.
Help picture below problem 6
Answers
Answer:
i think that B..is a right answer
Answer:
An octagon is a polygon with eight sides.
Step-by-step explanation:
Octa or Octo means eight. Like an octopus. They call it an octopus because it has eight limbs.
A stop-sign is an examle of an octagon.
Hope that helps!
Please help me with this question im really confused on it (please show work)
Answers
Answer:
SA = 434 ft^2
Step-by-step explanation:
We are going to exclude the floor since we are assuming he won't paint the floor. The shed has 5 sides since we aren't going to consider the floor.
length - L
width - W
height - H
surface area - SA
H = 8 ft
L = 14 ft
W = 7 ft
To calculate the area of each side or surface of the shed,
since there are two sides/ surfaces with the same are except for the roof, we will multiply the areas by 2.
Surface area:
SA = 2 × (W×H + L×H) + L×W
SA = 2 × (7×8 + 14×8) + 14×7
SA = 434 ft^2
An amusement park charges an admission fee of 30 dollars for each person. Let c be the cost (in dollars) of admission for p people. Write an equation relating c to p. Then use this equation to find the cost of admission for 15 people.
Answers
c=30p
$450
Step-by-step explanation:Setting up an equation lets us solve this question quickly. It also lets us create a relationship that can be used to find the cost of admission for any number of people.
Writing the Equation
As stated in the question, c will represent the total cost and p will represent the number of people admitted. Additionally, 30 will be the coefficient because it represents the cost per person. The variable p will take on the coefficient because it is the independent variable. Remember that the independent variable is the one that you can control. On the other hand, c is the dependent variable because it depends on the p variable.
This creates the equation C=30pSolving the Equation
To solve the equation for 15 people, plug 15 in for p.
C=30(15)Then, multiply out to solve
C=$450Which answer is the explicit rule for the sequence 11, 8.5, 6, 3.5, 1
Answers
I think it's an= 13.5 - 2.5n
[tex]a_n=13.5-2.5n[/tex]
Step-by-step explanation:[tex]11,\ 8.5,\ 6,\ 3.5,\ 1...[/tex]
[tex]So\ d=8.5-11=b-8.5=3.5-6=1-3.5[/tex]
[tex]=-2.5[/tex]
[tex]And\ a_1=\parallel \left\{Anithmetic\ \left.\ sequence\right\}\right.[/tex]
[tex]so\ a_n=a_1+d(n-1)[/tex]
[tex]=11-2.5(n-1)[/tex]
[tex]=13.5-2.5n[/tex]
[tex]The\ answer:a_n=13.5-2.5n[/tex]
I hope this helps you
:)
The set of numbers 1, 5, 13, and 24 contains values for m. What values of m makes the equation below true?
6m+12=42
Answers
Answer:
5
Step-by-step explanation:
Solve the equation first for "m"
6m + 12 = 42
6m = 30 (subtract 12)
m = 5 (Divide by 6)
5 is your answer
Hope this help! Please mark me brainliest, it helps!
given sin0= 2/3 and angle 0 is in quadrant 2, what is the exact value of cos0 in simplest form? simplify all radicals if needed
Answers
Answer: ( -[tex]\sqrt{5}[/tex] / 3)
Step-by-step explanation:
sin(angle) = opposite/hypotenuse
opposite =2
hypotenuse = 3
solve for adjacent side with pythagorean theorum
opposite^2 + adjacent^2 = hypotenuse^2
2^2 + adjacent^2 = 3^2
4 + adjacent^2 = 9
adjacent^2 = 9 - 4
adjacent^2 = 5
adjacent = [tex]\sqrt{5}[/tex]
-[tex]\sqrt{5}[/tex] since it is in the second quadrant
cosx = (adjacent/hypotenuse)
cosx = (-[tex]\sqrt{5}[/tex]/3)
(-[tex]\sqrt{5}[/tex]/3)
please help me Find M
Answers
Select the correct answer.
A parabola passes through the points (0,5), (1,4), and (2,5). What function does the graph represent?
f(x) = -x2 + 2x + 5
f(x) = -x2 + x +5
O
f(x)=x²+x-2
Of(x) = x2 – 2x+5
Submit
Answers
Answer:
X^2-2x+5 is the answer
Step-by-step explanation:
2. When plotting a point on a coordinate grid using an ordered pair, the
first number tells you to go up.
O True
False
Answers
Explanation:
Any point is of the form (x,y)
The first coordinate is x which tells us to go either left or right depending on whether x is negative or positive.
Example: (-2,3) means we go left 2 units
Another example: (5,7) means we go to the right 5 units.
The starting point is the origin where the x and y axis meet up.
Answer:
False
Step-by-step explanation:
A student wants to interview students about their favorite sport. The students asks 50 people who play a sport for the school. Is this an example of a random sample or a biased sample?
A
Random sample
B
Biased sample
Answers
Answer:
Random
Step-by-step explanation:
