Answer: 65π
Step-by-step explanation:
you can draw the cone to make it easier for you to understand.
to find the curved surface area of a cone, you multiply the base radius of the cone by pie. Then multiply your answer by the length of the side of the cone.
to do this you need the length of the side and the radius of the cone.
to find radius, divide the diameter by 2.
[tex]\frac{10}{2}[/tex] = 5
then use the right angle triangle in the cone to find the length of the side
use Pythagoras theorem which states that a² + b²= c²
a= 5, b= 12, c= x (length of side)
∴[tex]x^{2} 5^{2} + 12^2 =x^{2} \\25 + 144 = x^{2} \\169= x^{2} \\x=\sqrt{169} \\x= 13[/tex]
no that you have found the length
multiply the base radius by pie
which is:
5 ×π = 5π
then multiply this by the length of the side
5π × 13 = 65π
there you go!
hope it helps!
Thank you for all your help I need this too ASAP pls
Answer:
A
Step-by-step explanation:
Quadratic equation
i hate math bro please help me
Answer:
2 + an
Step-by-step explanation:
1 + 1 + na
2 + am
How can properties of linear pairs and vertical angles help determine the angle measures created by the intersecting lines?
Answer:
Linear pairs are adjacent angles that are supplementary. Their measures add to 180 deg. Vertical angles are congruent. Let's say two lines intersect, and you know the measure of one of the 4 angles that were formed.
Step-by-step explanation:
help please i’ll give u brianliest
Answer:
I guess the answer is c.... I guess it must be c
difference in the abscissa of points A (4,3) and B (-7,2)
Answer:
The difference is 11 units
Step-by-step explanation:
When we talk of the abscissa, we are referring to the x-axis.
So what this question is asking us is the difference between the values of the x-axis
At point A, the value is 4 while at point B, the value here is -7
So the difference between this two would be 4-(-7) = 4 + 7 = 11 units
Galileo improved the telescope and made important historic observations, including discovering four moons of _____. A. Mars B. Jupiter C. Saturn D. Neptune
Answer:
B: Jupiter
Step-by-step explanation:
hope this helps
Which is the solution to the inequality?
Answer:
C
Step-by-step explanation:
y is greater than or equal to 14.
Answer:
Option C
y _> 14
Step-by-step explanation:
here, y is greater than or equal to 14
Acellus
Find the value of x below. If
necessary, round to the nearest
tenth.
X
90°
450
8
Answer:
Step-by-step explanation:
What is the volume on a cone if the height is 12cm and the radius is 2cm
Answer:
[tex]50.27[/tex] [tex]cm[/tex]
Step-by-step explanation:
[tex]\pi r^2h \times 1/3[/tex]
[tex]\pi \times 2^2 \times 12 \times 1/3[/tex]
[tex]\pi \times 4 \times 12 \times 1/3[/tex]
[tex]16\pi[/tex]
[tex]\approx 50.265482[/tex]
Answer:
16π cm^3 or 50.27 cm^3 to the nearest hundredth.
Step-by-step explanation:
V = 1/3 π r^2 h
= 1/3 π 2^2 12
= 16π cm^3.
If p(x) = x + 3, then p(x) + p(–x) is equal to ??
Answer:
The answer is 6
Step-by-step explanation:
p(x) = x + 3
p(-x) = -x + 3
=> p(x) + p(-x) = x + 3 + (-x) + 3 = 6
Hope this helps!
:)
Enter a number in the box to complete the sentence. Give your answer to the nearest half-hour.
When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.
Until the candle has been burning for at least _____ hours, the height of Jennifer's candle will be more than 7 inches.
Please help me answer this I'm currently taking the end of the year assessment right now!!
Answer:
2.5 hours
Step-by-step explanation:
To solve this question we can use the exponencial function:
P = Po * (1 + r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the time.
In this case, we have Po = 8, P = 7 and r = -5% = -0.05. So, we can solve for t:
7 = 8 * (0.95)^t
0.95^t = 0.875
log(0.95^t) = log(0.875)
t * log(0.95) = -0.1335
t * (-0.0513) = -0.1335
t = -0.1335 / (-0.0513) = 2.6023 hours
Rounding to the nearest half-hour, we have t = 2.5 hours
Answer:
2.5
Step-by-step explanation:
I had this question and got it right
FAST ANSWER PLEASE THANKS
Answer: D
Step-by-step explanation:
(g*h)(x) is equal to g(x) times h(x). So, simply multiply them to get [tex]6x^2[/tex]
Which value of x makes 7+5(x-3)=22 a true statement?
Choose 1 answer:
A
x=4
B
x=5
C
x=6
D
x=7
Answer:
C
X=6
Step-by-step explanation:
7+5x-15=22
5x-8=22
5x=22+8
5x=30
X=30/5
X=6
a:b= 5:8 and b:c=6:25
Find, in its simplest form, the ratio a:b:c
Answer:
a:b:c = 15:24:100.
Step-by-step explanation:
We need to make the values of b the same in both ratios so we multiply b = 6 by 4/3 to make it 8 and also multiply 25 by 4/3.
6 25 = 8 : 33.33......
So a:b:c = 5:8:33.33...
To convert to whole numbers we multiply by 3:
a:b:c = 15:24:100.
Can i get help please??…………
Answer:
C is correct
Step-by-step explanation:
6x^7+12x^6+3x^5
Answer:
Answer:
C is correct
Step-by-step explanation:
6x^7+12x^6+3x^5
How do you put 0.02 in scientific notation
Answer:
2 x 10^-2
Step-by-step explanation:
0.02 equals to 2/100
therefore 0.02= 2/102 (remember this is negative)
= 2x10^-2 (therefore -2)
The solution to the number 0.02 in scientific notation is 2 * 10⁻²
How to express the number 0.02 in scientific notationFrom the question, we have the following parameters that can be used in our computation:
Number = 0.02
Multiply the number by 1
So, we have
Number = 0.02 * 1
Express 1 as 100/100
So, we have the following representation
Number = 0.02 * 100/100
Next, we have
Number = 2 * 1/100
Express 1/100 as 10⁻²
So, we have
Number = 2 * 10⁻²
Hence, the solution is 2 * 10⁻²
Read more about scientific notation at
brainly.com/question/1767229
#SPJ6
Can someone help me solved this problem plz need help ASAP! Show de steps plz! I really need help
Answer:
a) 3
b) -4
c) -1/3
d) -2
e) -4/3
Step-by-step explanation:
a) 6w=2 , w=6/2 , ie. w= 3
b) 6+w=2 ,w=2-6 , ie. w= -4
c) 6w+2= 0, 6w= 0-2 , 6w= -2 , w= -2/6, ie. w= -1/3
d) 6w+2= -10, 6w= -10-2, 6w= -12, w= -12/6 , ie. w= -2
e) 6w+2= 12w+10, 6w-12w = 10-2 ( here we interchanged the digits to get the variables or you can say the terms having variables in this case 'w' to the same side. hereby changing the sign from '+' to '-')
so
6w-12w = 10-2 ,-6w=8, w= -8/6, ie. w= -4/3
You can check your answers by substituting with the answers in place of the variable and check if the equation is solved.
Tell me if this was helpful
Given the explicit formula, calculate the first four (4) terms.
1. f(n) = 9+8n
2. f(n)=8(n+1)-13
3. f(n)=65-9n
plz help me out
Answer:
Step-by-step explanation:
Given the following explicit formula, we are to calculate the first four (4) terms of the sequence.
1) f(n) = 9+8n
When n = 1
f(1) = 9+8(1)
f(1) = 17
when n = 2
f(2) = 9+8(2)
= 9+16
= 25
When n = 3
f(3) = 9+8(3)
f(3) = 33
when n = 4
f(4) = 9+8(4)
= 41
= 25
The first four terms are 17, 25, 33 and 41
2) f(n) = 8(n+1)-13
When n = 1
f(1) = 8(2)-13
f(1) = 3
when n = 2
f(2) = 8(3)-13
= 24-13
= 11
When n = 3
f(3) = 8(4)-13
f(3) = 32-13
= 19
when n = 4
f(4) = 8(5)-13
= 40-13
= 27
The first four terms are 3, 11, 19 and 27
3) f(n) = 65-9n
When n = 1
f(1) = 65-9(1)
f(1) = 56
when n = 2
f(2) = 65-9(2)
= 65-18
= 47
When n = 3
f(3) = 65-9(3)
f(3) = 65-27
= 38
when n = 4
f(4) = 65-9(4)
= 65-36
= 29
The first four terms are 56, 47, 38 and 29
Please help with this question
Answer:
a) 50π cm^2
b) π/8
Step-by-step explanation:
a) The formula for the area of a semicircle is ...
A = (1/2)πr^2 = (1/2)π(d/2)^2 = (π/8)d^2
For a diameter of 20 cm, the area is ...
A = (π/8)(20 cm)^2 = 50π cm^2 . . . . . the area of the semicircle
__
The formula for the area of a quarter circle is ...
A = (1/4)πr^2
For a radius of 20 cm, the area is ...
A = (π/4)(20 cm)^2 = 100π cm^2 . . . . . the area of the quarter circle
__
The shaded area is the difference of the areas of the quarter circle and semicircle:
shaded area = (100π cm^2) -(50π cm^2)
shaded area = 50π cm^2
__
b) The ratio of the shaded area to the square area is ...
shaded area / square area = (50π cm^2)/(20 cm)^2 = π/8
make x the subject of m=n + x/p
Answer:
[tex] \boxed{x = p(m - n)} [/tex]
Step-by-step explanation:
[tex] = > m = n + \frac{x}{p} \\ \\ = > m = (n \times \frac{p}{p} ) + \frac{x}{p} \\ \\ = > m = \frac{pn}{p} + \frac{x}{p} \\ \\ = > m = \frac{pn + x}{p} \\ \\ = > mp = pn + x \\ \\ = > x + pn = pm \\ \\ = > x = pm - pn \\ \\ = > x = p(m - n)[/tex]
The lowest airport in the world is Atyrau Airport in Kazakhstan. Its
runway is 72 feet below sea level. A passenger in a small airplane on
the runway holds her phone exactly 4 feet above the runway. What
is the elevation of her phone? Use a negative sign where appropriate,
and don't include units when typing in the secret answer
Answer:
-72 + 4 = -68
If a figure has a length and width that are the measured in meters, what would be the units for the area of the figure
Answer:
metre squared (m²)
Step-by-step explanation:
metre×metre=metre squared (m²)
A function is defined by f (x) = 5 (2 minus x). What is f(–1)? –5 5 15
Answer: 15
Step-by-step explanation: 2 minus negative 1 is the same as 2+1. 2 plus 1 is 3 and 5 times 3 is 15. Therefore, 15 is your answer.
Answer:
15
Step-by-step explanation:
took the test on EDGE
There are three types of tickets to enter the amusement park of a particular city. The normal ticket costs R $ 52.00, the child ticket costs R $ 20.00 and the elderly ticket costs R $ 28.00. A group of friends went to the park and paid in total R $ 480.00. In this group, each adult (normal or senior) took two children. How many normal tickets purchased?
Answer:
3 normal tickets were sold, 3 tickets were sold for the elderly, and 12 tickets were sold for children
Step-by-step explanation:
Let x = normal ticket number
Let y = child ticket number
Let z = elderly ticket number
The total amount spent is 480, so we can create this equation:
52 * x + 20 * y + 28 * z = 480
They also tell us that each adult took two children, so:
y = 2 * (x + z)
We have two equations and three unknowns, therefore we must simplify and do trial and error. First, let's substitute "y" in terms of "x" and "z" in the first equation, then simplify:
52 * x + 20 * y + 28 * z = 480
52 * x + 20 * 2 * (x + z) + 28 * z = 480
52 * x + 40 * (x + z) + 28 * z = 480
52 * x + 40 * x + 40 * z + 28 * z = 480
92 * x + 68 * z = 480
23 * x + 17 * z = 120
Let's solve for x in terms of e:
23 * x = 120-17 * z
x = (120-17 * z) / 23
We know that (120 - 17 * z) has to be a multiple of 23 for "x" to be an integer. So let's look at testing some values of "z" to make valid values for "x":
120-17 (0) = 120 (not multiple of 23)
120-17 (1) = 103 (not multiple of 23)
120-17 (2) = 86 (not multiple of 23)
120-17 (3) = 69 (multiple of 23)
120-17 (4) = 52 (not multiple of 23)
120-17 (5) = 35 (not multiple of 23)
120-17 (6) = 18 (not multiple of 23)
120-17 (7) = 1 (not multiple of 23)
After that, we get negative values for "x", so here there is only one possible value for "x", so we know that z = 3:
Now we can solve for "x" and "y":
x = (120-17 * 3) / 23
x = (120-51) / 23
x = 69/23
x = 3
Now for and:
y = 2 * (x + y)
y = 2 (3 + 3)
y = 12
Therefore, 3 normal tickets were sold, 3 tickets were sold for the elderly, and 12 tickets were sold for children.
how many ways can 7 different runners finish in first, second, and third places in a race?
Answer:
210
Step-by-step explanation:
There are 7 * 6 * 5 ways to finish. This is because we have 3 slots:
For 1st place, there are 7 people that could take that place, so we have 7
For 2nd place, there are 6 people, because one person already took 1st, so they cant be second as well.
For 3rd place, there are 5 people, because 2 people already took first and second place, and neither of them can be third then.
So we have:
7*6*5 = 210
Answer:
210 ways
Step-by-step explanation:
For 1 st place there are 7 different runners
Now there are only 6 options
For 2nd place there are 6 different runners
Now there are only 5 options
For 3rd place there are 5 different runners
7*6*5
Can someone explain this to me
Answer:
35°
Step-by-step explanation:
ABC is a equilateral triangle and that means all of its
interior angles have the same measure and = 60°
since angle ACB is 60° the complementary of it would be 120° this is alsıo the measure of angle ACD
The measure of angle CAD is given as 25°
The measure of sum of interior angles in a triangle is equal to 180°
So the missing angle ADC is 35°
Calculate the final cost of a television if the price is $1700.00 and the tax is 3%.
[tex]answer = 1751\\ selling \: price = 1700 \\ tax \: percent = 3 \: percent \\ tax \: amount = tax \: percent \: of \: \: sp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \: percent \: of \: 1700 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 51 \\ \\ \: final \: cost = 1700 + 51 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1751 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer:
$1751Step-by-step explanation:
Selling price
[tex]1700[/tex]
Tax percent
[tex]3\%[/tex]
Tax amount
[tex]1700 \times \frac{3}{100} \\ = 51 [/tex]
Final cost
[tex]1700 + 51 \\ = 1751[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
simplify 12a^7b^5/16a^2b^2
Answer:
[tex]\frac{12a^7b^5}{16a^2b^2}=\frac{3}{4} a^5b^3[/tex]
20 PTS What is the sixth term of the sequence shown in the table? Term Value 1 –46,656 2 7,776 3 –1,296 4 216 5 6 {SEE IMAGE}
Answer:
a₆ = 6
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r = [tex]\frac{216}{-1296}[/tex] = [tex]\frac{-1296}{7776}[/tex] = [tex]\frac{7776}{-46656}[/tex] = - [tex]\frac{1}{6}[/tex]
This indicates the sequence is geometric.
To obtain any term in the sequence, multiply the previous term by r, thus
a₅ = 216 × - [tex]\frac{1}{6}[/tex] = - 36
a₆ = - 36 × - [tex]\frac{1}{6}[/tex] = 6
Answer:
It's 6
Step-by-step explanation:
Got it right!
1 –46,656
2 7,776
3 –1,296
4 216
5 36
6 6
divided by 6 every time
work out the surface area of a sphere please help if u get it correct i’ll give h brainlest
Answer:
Surface area of sphere = 4πr²
r = radius
and radius = diameter/2
radius = 13/2
= 6.5cm
Surface area = 4 × π × 6.5
= 26 × π
= 81.68
= 81.7cm²
Hope this helps.