The diameter of the cone is 6 inches. It’s height is 4 inches. What is its slant height?
Answers
Answer:
5 inches
Step-by-step explanation:
As the height is perpendicular to the base, the radius and the height form a right angle, creating a right triangle where the slant height is the hypotenuse, thus:
[tex](height)^2+(radius)^2=(slant\:height)^2[/tex]
[tex]4^2+(6/2)^2=(slant\:height)^2[/tex]
[tex]16+9=(slant\:height)^2[/tex]
[tex]25=(slant\: height)^2[/tex]
[tex]5=slant\: height[/tex]
In conclusion, the slant height of the cone is 5 inches. See below for a visual.
Related Questions
A total of $8000 is invested: part at 6% and the remainder at 10 %. How much is invested at each rate if the annual interest is $750?
Answers
Answer: $400 was invested
Step-by-step explanation: Based on the scenario in the question, our calculation goes thus:0.11x + 0.06(8000 - x) = 5000.11x + 480 - 0.06x = 5000.11x - 0.06x = 500 - 4800.05x = 20x = 20/0.05x = 400
$400 was invested at 11% Also, 8000 - 400 = 7600 invested at 6%
BRAINLIEST would make my day :D
Use vertex form to write the equation of the parabola below.
1
35
A.
y=-(x - 1)2 +1
B. y = (x+1)2 + 2
B
y = (x-1)
Dy= (x+1)+1
Answers
Answer:
It's the first option (A)
Step-by-step explanation:
Since it's heading towards negative Ys so in ax²+bx+c, a is negative and only option that a is negative in it, is option A.
Additionally, the parabola is moved 1 unit towards positive Xs, so —(x—1)²
and it's one unit up so —(x—1)²+1
Write a quadratic function with zeroes -8 and -6.
Write your answer using the variable x and in standard form with a leading coefficient of 1.
f(x) =
Answers
Answer:
see below
Step-by-step explanation:
zeroes = -6 and -8
y = (x+8)(x+6) expand to
y = x^2 + 14x + 48
I need help
In y = 2^x + 1, what is the exponent?
Answers
Step-by-step explanation:
The natural log has a base of 'e'. That is the definition of the natural log. Therefore, using logarithm rules, 'e' to the power of the right side equals 'y':
[tex] {e}^{ {2}^{x} + 1 } = y[/tex]
Answer:
xStep-by-step explanation:
In this problem, x is the exponent as the term '2' is multiplied by itself x times. If you look a bit further, you will see there is also an invisible power on 1, but 1 raised to any exponent will be 1 itself so it isn't considered.
When designing a training plan, what do you need to think about?
A. Frequency, rest, progression
B. Moderation, progression and overtraining
C. Rest, goals, overload
D. Frequency, overtraining, time
Answers
Answer:
B
Step-by-step explanation
U need to keep up with your training and work hard
Write the decimals in expanded notation 0.685
Answers
[tex]0.685[/tex]
to find:the expanded notation form.
solution:[tex]0[/tex]
[tex] + 0.6[/tex]
[tex] + 0.08[/tex]
[tex] + 0.005[/tex]
it can be written as a sentence also,
0 + 0.6 + 0.08 + 0.005
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
Big bro I can barley read the image but here we go.
Angle B = 51
Angle E = 65?
So to solve if we know angle e is 65 and the angles are identical to eachother then we can say
4y - 3 = 65
4y = 62
y = 15.5
7
Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an
annual simple interest rate of 8%. After 8 years, the interest earned on the account was $5,760. How much money did Mike's
grandmother deposit in the account?
OA. $8,000
OB. $9,500
OC. $10,000
OD. $9,000
Answers
Answer:
we have to use the formula of simple interest, which is
I = P r t
Where I is the interest earned, P is the amount invested, r is the rate of interest and t is the time duration .
In the given question, I = $4840 , r =11% or 0.11, t=11, P is unknown .
Substituting the values in the formula, we will get
4840=0.11*11*P4840=0.11∗11∗P
4840=1.21 P4840=1.21P
P=4000
So she invested $4000
Answer:
Option: D P = 9000
Step-by-step explanation:
I = PRT
5760 = P * 0.08 * 8
5760 = 0.64P
9,000 = P
Answer asap and only if yk 100% its correct
Answers
the answer is 3 and thats cause if you were to multiply 12x75 you get 900, and if 1 gallon of paint covers 400 square feet then you will need 3 gallons to get to 900. so there for the answer is 3
PLS HELPP Find the value of x.
7
10
6
3
Answers
Answer:
10
Step-by-step explanation:
A piece of wire 19 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle.
How much wire should be used for the square in order to minimize the total area?
Answers
Answer: 8.26 m
Step-by-step explanation:
[tex]$$Let s be the length of the wire used for the square. \\Let $t$ be the length of the wire used for the triangle. \\Let $A_{S}$ be the area of the square. \\Let ${A}_{T}}$ be the area of the triangle. \\One side of the square is $\frac{s}{4}$ \\Therefore,we know that,$$A_{S}=\left(\frac{s}{4}\right)^{2}=\frac{s^{2}}{16}$$[/tex]
[tex]$$The formula for the area of an equilateral triangle is, $A=\frac{\sqrt{3}}{4} a^{2}$ where $a$ is the length of one side,And one side of our triangle is $\frac{t}{3}$So,We know that,$$A_{T}=\frac{\sqrt{3}}{4}\left(\frac{t}{3}\right)^{2}$$We have to find the value of "s" such that,$\mathrm{s}+\mathrm{t}=19$ hence, $\mathrm{t}=19-\mathrm{s}$And$$A_{S}+A_{T}=A_{S+T}$$[/tex]
[tex]$$Therefore,$$\begin{aligned}&A_{T}=\frac{\sqrt{3}}{4}\left(\frac{(19-s)}{3}\right)^{2}=\frac{\sqrt{3}(19-s)^{2}}{36} \\&A_{T+S}=\frac{s^{2}}{16}+\frac{\sqrt{3}(19-s)^{2}}{36}\end{aligned}[/tex]
[tex]$$Differentiating the above equation with respect to s we get,$$A^{\prime}{ }_{T+S}=\frac{s}{8}-\frac{\sqrt{3}(19-s)}{18}$$Now we solve $A_{S+T}^{\prime}=0$$$\begin{aligned}&\Rightarrow \frac{s}{8}-\frac{\sqrt{3}(19-s)}{18}=0 \\&\Rightarrow \frac{s}{8}=\frac{\sqrt{3}(19-s)}{18}\end{aligned}$$Cross multiply,$$\begin{aligned}&18 s=8 \sqrt{3}(19-s) \\&18 s=152 \sqrt{3}-8 \sqrt{3} s \\&(18+8 \sqrt{3}) s=152 \sqrt{3} \\&s=\frac{152 \sqrt{3}}{(18+8 \sqrt{3})} \approx 8.26\end{aligned}$$[/tex]
[tex]$$The domain of $s$ is $[0,19]$.So the endpoints are 0 and 19$$\begin{aligned}&A_{T+S}(0)=\frac{0^{2}}{16}+\frac{\sqrt{3}(19-0)^{2}}{36} \approx 17.36 \\&A_{T+S}(8.26)=\frac{8.26^{2}}{16}+\frac{\sqrt{3}(19-8.26)^{2}}{36} \approx 9.81 \\&A_{T+S}(19)=\frac{19^{2}}{16}+\frac{\sqrt{3}(19-19)^{2}}{36}=22.56\end{aligned}$$[/tex]
[tex]$$Therefore, for the minimum area, $8.26 \mathrm{~m}$ should be used for the square[/tex]
6. A gas tank holds 450 gal. when it is filled to the height of 12 ft. How many
gallons will it hold when it is filled to 5 ft.?
Answers
Answer:
[tex]\huge\boxed{\sf 187.5\ gal.}[/tex]
Step-by-step explanation:
Given that:
For,
12 ft. height, gas tank can hold 450 gal.
Using unitary method:
12 ft = 450 gal.
Divide 12 to both sides
1 ft = 450/12 gal.
1 ft = 37.5 gal.
Multiply 5 to both sides
5 ft. = 37.5 × 5 gal.
5 ft. = 187.5 gal.
So, the height of 5 ft. holds 187.5 gal.
[tex]\rule[225]{225}{2}[/tex]
Answer:
187.5 gal
Step-by-step explanation:
A=lw
450=12(w)
450/12=37.5ft
A=lw
A=37.5(5)
A=187.5 gal
Hope that helps
Help Me On This!!
[tex] \: \: \: \: [/tex]
Answers
The above diagram shows a rectangular prism
Formula's:Volume: Length x Width x Height
Surface area: 2(Length x Width + Height x Width + Height x Length)
Solve for Volume:
5 x 10 x 4
200 m³
Solve for surface area:
2(10x 5 + 4 x 5 + 4 x 10)
2(50 + 20 + 40)
2(110)
220 m²
what is the surface area of this cylinder ?
Answers
Answer:
87.92 mm²
Step-by-step explanation:
Given:
Radius of circular base: 2 millimetersHeight of cylinder: 5 millimetersIt should be noted:
Surface area of cylinder: 2πrh + 2πr² (R = Radius; H = Height)When the measures are substituted, we get the following expression:
⇒ 2π(2)(5) + 2π(2)²Multiply the constants and substitute π as 3.14.
⇒ 20π + 2π(4)⇒ 20π + 8π⇒ 20(3.14) + 8(3.14)Finally, simplify the expression to determine the surface area.
⇒ 20(3.14) + 8(3.14)⇒ 62.8 + 25.12⇒ 87.92 mm²Answer:
88.0 mm² (nearest tenth)
Step-by-step explanation:
Surface area of a cylinder = [tex]2\pi r^2+2\pi rh[/tex]
where:
r = radiush = heightGiven:
r = 2 mmh = 5 mmSubstitute given values into the formula:
[tex]\begin{aligned}\sf \implies SA & =2\pi (2)^2+2\pi (2)(5)\\ & = 8 \pi+20 \pi\\ & = 28 \pi\\ & = 88.0\:\sf mm^2\:(nearest\:tenth)\end{aligned}[/tex]
The diameter of a circle is 222 units.
What is the radius of the circle?
units
Answers
Answer:
111
Step-by-step explanation:
divide by 2 to find the radius
How to solve 36 yards=inches
Answers
1 yard = 36 inches
in order to change yard into inches you multiply how many yards you need to solve for by 36.
36 yards = 1,296 inches
Answer:
1,296 inches
In each yard is 3 feet, and there are 12 inches in 1 foot.
Multiply the amount of yards by itself to solve.
[tex]36 * 36 = 1,296~in.[/tex]
__________________________________________________________
Questions?Ask in comments box.
All of the following are examples of attempts to offset carbon emissions EXCEPT...
A. Kyoto Protocol
B. Freedom in Industry
C. Nuclear energy
D. Sun, Wind, and Tidal energy
Answers
Answer:
B. Freedom in Industry
Step-by-step explanation:
The Kyoto Protocol is a commitment between countries to limit the amount of greenhouse gases produced. Nuclear, Sun, Wind, and Tidal energy are all renewable energy sources.
A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before
falling down to the ground.
1. Which of these graphs represent this situation? Explain how you know in 2-3 sentences
|A
B
C
2. What would be appropriate labels for your x-axis?
3. What would be appropriate labels for your y axis?
4. According to your graph, roughly when does the ball hit the ground?
Answers
Answer:
1. answer is B because it is the only graph that represents the time stuck in the tree at a certain time then the continuous fall of the ball after falling out of the tree. 2. X-axis would be time or seconds 3. Y-axis would be height in air 4. 14 seconds after it was rhrown
Answer:
its B
Step-by-step explanation:
Have you smiled today? its very important:)
Weekly wages at a certain factory are
normally distributed with a mean of
of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makesbetween
$400 and $450.
[? ]%
Answers
Answer:
The probability that a worker makes between $400 and $450 is .3413 using the calculator and .34 using the empirical rule.
Step-by-step explanation:
There are two ways to approach this problem.
The first way is to find the z-score corresponding to $400 and $450 weekly wage and find the p-value in between these values.
[tex]\displaystyle \frac{400-400}{50} < z < \frac{450-400}{50}[/tex][tex]\displaystyle 0 < z < 1[/tex]
If you use the normalcdf function on your calculator and put 0 and 1 as the lower and upper bounds, respectively, you will get an area of .3413.
Another way of looking at this problem is to recognize that the weekly wages given are the mean and one standard deviation above the mean.
We can use the Empirical Rule, 68-95-99.7, in order to see that going one standard deviation above the mean would be an area of 68/2 = .34.
I've attached an image that shows you what the normal curve looks like.
BRAINLIEST+ STARS!!!
What is the volume of this cone? Use 3.14 for pi 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.
Answers
Answer:
I had two other people with the same question, so I'm gonna assume that the radius is 2 and the height is 8. Here is the answer: 39.5 in^3
Step-by-step explanation:
The formula for a cone is (pi)(r^2)(h/3)
Since we have to use 3.14 for pi, we plug 3.14 in for pi:
(3.14)(r^2)(h/3)
The radius is 2 and the height is 8, so we plug in those numbers:
(3.14)(2^2)(8/3)
Simplify:
(3.14)(4)(2.666...)
Multiply:
(12.56)(2.666...) -> 39.49333...
Finally, we round 39.49333... to the tenths place:
39.5
Hope this helps :)
A pronghorn running up a steep cliff to escape its predator covered 45 miles in 1 hour and 45 minutes.
Answers
Answer:
25 . 71 mph
Step-by-step explanation:
45 miles in 1.75 hr
45 miles / 1.75 hr = 25.71 mph
Find all values of k for which the equation 3x2−4x+k=0 has no solutions.
This should be an inequality.
Answers
Answer:
k>4/3
Step-by-step explanation:
The given quadratic equation is:
3x^2 - 4x + k = 0
To find, the value of k = ?
you use
Discriminant, D = - 4ac
= - 4(3)(k)
= 16 - 12k
The condition of no solutions.
D < 0
16 - 12k < 0
16<12k
4/3<k
⇒ k>4/3
A canoe travels 5 miles downstream at rate r, and then 5 miles back upstream at
70% of its downstream rate. Write and simplify a rational expression for the total
time of the trip.
Answers
Answer:
See below
Step-by-step explanation:
distance / rate = time
d/r + d/(.7r) = total time
5 /r + 5 /(.7r) = time
35/7r + 50/7r = time
85/7r = time
10. How do personality differences relate to your community?
O A. Community activities are mainly for extroverts.
O B. Community activities are mainly for introverts.
C. Communities have needs that appeal to many different personality types.
O D. Communities only need one personality type.
Answers
PLATO!!!
Answer:how can you easily improve your family relationships by understanding personality types
Step-by-step explanation:
(1/4)^3z-1=16^z+2x 64^z-2
Answers
Answer:
Step-by-step explanation:
Find the area of the shaded shape. Write the area in square unit
Answers
Answer:
432 square feet
Step-by-step explanation:
Hello there.
Do you see those half shaded squares on the top? Those count as half a square.
Do 6 times 3 to get 24. Multiply 24 with 16 to get 384.
There are 6 half shaded squares which equals to 3 full squares. Multiply 3 and 16 to get 48. Lastly, add 384 with 48 to get your answer.
Hope this helped, Angelo
15. Roger, Luisa, Chin, and Wenona were playing a game. For each correct answer, a game plece could be moved ahead. The game pieces had been moved 2 dm, 15 cm, 75 mm, and 0.12 m. Roger's piece had moved 15 cm. Luisa's piece had moved farther than 75 mm. Chin's piece hadn't moved to 0.12 m. Wenona's piece had moved 2 dm. Order the students from first place to fourth place. To solve, convert all the measures to the same unit. HELP
Answers
Answer:
1. Wenonas piece: moved 20 cm
2. Rogers piece: 15cm
3. Luisas piece: <7.5cm
4. Chins piece: >12cm
this is the order, HOPE THIS HELPS!
The value of x in this system of equations is 1.
3x + y = 9
y = -4x + 10
Substitute the value of y in the first equation:
Combine like terms:
Apply the subtraction property of equality:
Apply the division property of equality:
3x + (-4x + 10) = 9
-X + 10 = 9
X
What is the value of y?
Answers
Answer:
y = 6
Step-by-step explanation:
y = -4(1) + 10 = -4 + 10 = 6
During a period of inflation, the graph of the consumer price index (CPI) will
fall.
A. True
B. False
SUBMIT
Answers
Answer:
B. Fakse
explanation:
In
inflation
, the CPI will rise. In deflation, the CPI will fall
What is the equation of the line that passes through the point (4,−2) and has an undefined slope?
Answers
When a line has an undefined slope, it means that it is a vertical line. Vertical lines are written in the following form:
[tex]x=d[/tex], where d is the x-interceptThe x-intercept of a vertical line is the value of x when y=0Solving the QuestionFor any vertical line, the x-coordinate is constant. This means that for any point that falls on the line, the x-coordinate will always be the same.
If we're given that the line passes through the point (4,-2), this means that the x-coordinate for every piont this line passes through is 4.
In other words, the x-intercept of this line is 4.
[tex]x=4[/tex]
Answer[tex]x=4[/tex]