Step-by-step explanation:
Given that,
The height of the cone, h = 24 cm
The radius of the cone, r = 10 cm
The slant height of the cone is :
[tex]l=\sqrt{h^2+r^2} \\\\l=\sqrt{24^2+10^2} \\\\l=26\ cm[/tex]
The lateral area of the cone is given by :
[tex]A=\pi rl\\\\=3.14\times 10\times 26\\\\=816.4\ cm^2\approx 816\ cm^2[/tex]
The surface area of the cone is given by :
[tex]A=2\pi rh\\\\=2\times 3.14\times 10\times 24\\\\=1507.2 \approx 1507\ cm^2[/tex]
please help me with this question:(
plss help its due in 2 days :(
A toy shop is manufacturing hollow plastic spheres. The outside diameter of the sphere is 6 inches and the thickness of material is 1 inch. The spheres are packaged in boxes of 8, and the density of the material is 3.25 g/in3. What is the weight of the box to the nearest gram?
Answer:
2069 grams
Step-by-step explanation:
Assume that the box itself is massless so the weight is only due to the spheres only. Calculate the volume of a solid sphere of radius 3 in:
Vout = (4/3)pi(3^3) = 36pi in^3
Now calculate the volume of a solid sphere of radius 2 in:
Vin = (4/3)pi(2^3) = (32/3)pi in^3
To calculate the volume of the hollow sphere, subtract Vin from Vout:
Vnet = Vout - Vin = (76/3)pi
Since the density of the plastic is 3.25 g/in^3, the mass of each hollow sphere is
m = (density) × Vnet = (3.25 g/in^3)×(76/3)pi
= 258.7 g
Since there are 8 spheres in a box, the total weight of the box is
M = 8m = 2069 grams
Which one is correctly a or b
Answer:
Second graph shows x = - 2
a bag has 3 red marbles, 2 blue and 4 yellow. what is the probability of pulling a red
Answer:
its 33.333333% or 3 out of 9 or 3/9
Step-by-step explanation:
Write the coordinates of the vertices after a reflection across the line y = 4
A(-9,1) -> A’( )
B(-4,1) -> B’( )
C(0,4) -> C’( )
D(-5,4) -> D’ ( )
There are 20 students in the class. I counted 8 girls. What percent are boys?
Answer:
60%
Step-by-step explanation:
20-8=12
12÷20=0.6
0.6×100=60%
Determine the situation that best describes a normal distribution.
A.
heights of students in a class
B.
prices of shirts during a sale
C.
grades of students on an easy test
D.
cost of houses during inflation
:) please help me. Thank you
Answer:
it's the 3rd one
Step-by-step explanation:
i used m ath way
Next Activity
Desiree M&Clay
Consumer Mathematics A: Calorie Proportions - Assess It
Contents
1 Course Ove
> Course Res
> Shopping
Nutrition
All changes saved
3. If 10 hot wings have 700 calories and Ben ate 25 hot wings at dinner, how many
calories did he eat?
> Lesso
Riley bought 3.5 pounds of dried apples. They cost $2.56 per pound. How much did Riley pay for the dried apples? QUICK PLEASE !!!
Answer:
$8.96
Step-by-step explanation:
3.5 x 2.56 = 8.96
A truck rental company rents a moving truck One Day by charging $39 + 0.09 per mile write a linear equation that relates the cost c in dollars of renting the truck to the number x of miles driven and what is the cost of renting the truck if the truck is driven 160 MI
Answer:
[tex](a)\ c(x) = 39 + 0.09 x[/tex]
[tex](b)\ \$53.4[/tex]
Step-by-step explanation:
Given
[tex]Base\ Charge = \$39[/tex]
[tex]Rate = 0.09[/tex] per mile
Solving (a): Linear Equation
The total charges (c(x)) is: the base charge + the rate * number of miles (x).
So, we have:
[tex]c(x)= 39 + 0.09 * x[/tex]
[tex]c(x) = 39 + 0.09 x[/tex]
Solving (b): Cost of rent, if miles = 160
This implies that x = 160
So, we have:
[tex]c(x) = 39 + 0.09 x[/tex]
[tex]c(160) = 39 + 0.09 *160[/tex]
[tex]c(160) = 39 + 14.4[/tex]
[tex]c(160) = 53.4[/tex]
How can I find this??
Answer:
a
Step-by-step explanation:
Answer:
Bring both of the times to 60 minutes, multiplying the pints by the same number. From there you should get, Morning: 45 pints and Afternoon: 40 pints. I think you can do the rest ;)
Hope this Helps!
I want to thank everyone on here who has helped me!
I hope everyone has a great night or day!
:D
Please answer the question correctly with factual information for brainliest.
Answer:
There are two correct answers:
A. [tex]\sqrt{(-2-7)^{2} +(8-13)^{2} }[/tex]
E. [tex]\sqrt{(7+2)^{2} +(13-8)^{2} }[/tex]
Step-by-step explanation:
The formula for the distance between two points is:
[tex]d=\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
...in which [tex](x_{1} ,y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] are the two given coordinates.
i will give Brainiest if your right
Answer:
f
Step-by-step explanation:
sum of 15 and -6 is 11
-3 times -2 is 6 because the negatives cancel out
6 plus the 5 left in the parenthesis is 11
brainiest pls
you have 5 apples 2 are missing how much do you have left
What is the equation of the trend line in the scatter plot ?
Answer:
5
Step-by-step explanation:
Hopebthis helps it ahowed right for me
A line is parellel to y=3x+2 and intersects the point (2,9). What is the equation of this parellel line
Answer: y= -3x
Step-by-step explanation:
Use the slope-intercept form to find the slope.
m = −3
To find an equation that is parallel to y = −3x + 2, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.
(0,0)
m = −3
Using the point-slope form
y − y1 = m (x − x1), plug in
m = −3, x1 = 0, and y1 = 0.
y − (0) = (−3) (x−(0))
Solve for y
y = −3x
Answer:
y=3x+3
Step-by-step explanation:
(2,9)
x=2
y=9
-Slot these numbers into the equation y=mx+c
-Solve for c
y=3x+c
9=3(2)+c (We have substituted y for 9 and x for 2)
-Solve
9=6+c
(rearrange)
c+6=9
c=9-6
c=3
We have found our y-intercept (c)
Add this value into the original equation (replace the other y-intercept with your new value)
y=3x+3
Help pls will give brainlist make sure to show work if needed
Answer:
11
Step-by-step explanation:
Just make your dot plot so that the amount of dots corresponding to the number is the amount of times the number shows in the box. :)
Round to the nearest hundredth (2 decimal places) when necessary
Answer:
18.22 is the circumference
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
if it's area, then:
area = 26.41 ft²
Step-by-step explanation:
area = πr² = (3.14)(2.9²) = 26.41 ft²
Maria and Lamar are playing a game. Maria noticed that the digits of her
score could be reversed to form Lamar's score. Maria's score is 18 more
than Lamar's score. Maria's score is a multiple of 5. What is Maria's score?
Answer:
20
Step-by-step explanation:
because 20 reversed is 02 and plus 18 is 20 and 20 is a multiple of 5
Answer:
The answer is 20!
Step-by-step explanation:
Had to do this on a sheet of paper.
Hope I helped you even though this is really old. I just need to answer 5 questions for points
Find the distance between the points (7,-5) and(2,7)
Answer:
13
Step-by-step explanation:
[tex] \sqrt{ {(7 - 2)}^{2} + {( - 5 - 7)}^{2} } = 13[/tex]
If one card is randomly selected from a standard deck of 52 cards, find the probability of selecting:
(a) a red card, given that it is not a heart
(b) a red six, given that it is not a black card
On March 1, Anton purchased a new condominium. He pays a monthly maintenance fee of $975. His
monthly property taxes equal 14.7% of the monthly fee. How much will Anton pay in property taxes for
this calendar year?
Answer:
$143.33
Step-by-step explanation:
well 14.7% of 975 is 143.33 so I'm pretty sure thats the answer
If 3 balls are drawn at random from a bag containing 3 red and 4 blue balls,
what is the expected number of red balls in the sample?
Answer:
The expected number of red balls in the sample is 1.2857.
Step-by-step explanation:
The balls are chosen without replacement from the sample, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[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]
The expected value of the hypergeometric distribution is:
[tex]E(X) = \frac{nk}{N}[/tex]
3 red balls in the sample:
This means that [tex]k = 3[/tex]
3 balls are drawn:
This means that [tex]n = 3[/tex]
Total of 3 + 4 = 7 balls:
This means that [tex]N = 7[/tex]
What is the expected number of red balls in the sample?
[tex]E(X) = \frac{nk}{N} = \frac{3*3}{7} = 1.2857[/tex]
The expected number of red balls in the sample is 1.2857.
look at pic 10 pts will mark brainilest
Answer:
D
Step-by-step explanation:
When I divide 58.4 by 9.6, I get the digits 6 0 8 3Explain how you can use estimation to correctly place the decimal point. Be sure to include the answer with the decimal point in the correct place.
Answer:
See below
Step-by-step explanation:
58.4/9.6 can be rewritten as 58/10=5.8, so the decimal point will go between the first and second digits. Therefore, 58.4/9.6=6.083
A professor at a local community college noted that the grades of his students were normally distributed with a mean of 74 and a standard deviation of 10. Students who made 55 or lower on the exam failed the course. What percent of students failed the course?
Answer:
28.72% of students failed the course
Step-by-step explanation:
P(0<X<55) = normalcdf(0,55,74,10) = 0.287164928 = 28.72% of students failed the course
Find the the measure of angle 5.
Answer:
Angle 5 would be 119 degrees.
Step-by-step explanation:
This is because the angle that is 61 degrees and angle 5 are both supplementary angles. Supplementary angles would add up to 180 degrees and would lie on the same side of the line. So 180 minus 61 is 119.
PLSSS HELP
1.Find the surface area
2.Find the volume
Answer:
1.106 inches squared 2. 60 inches cubed
Step-by-step explanation:
The surface area is just calculated like this 7.5*2*2 (because there are 2 faces) = 30 then 2*4*2= 16 then 4*7.5*2= 60 then you add them to get 106
For the second all you do is multiply the three values which gets you 60
would be amazing if you picked this as brainliest :)
Answer:
Step-by-step explanation:
.Find the surface area
(7,5*4) *2 + (7,5*2) *2 + (4*2) * 2 =
60+ 30+ 16 => 106 inch²
2.Find the volume
7,5 * 2*4 =>60 inch³