Answer: C
Step-by-step explanation:
To find the surface area of a cone, you use the formula [tex]A=\pi r(r+\sqrt{h^2+r^2} )[/tex]. Since we are already given the height and radius, all we have to do is plug in the values and solve.
[tex]A=9\pi (9+\sqrt{41^2+9^2} )[/tex] [solve inside of square root]
[tex]A=9\pi (9+\sqrt{1762} )[/tex] [parenthesis]
[tex]A=9\pi (50.976 )[/tex] [multiply]
[tex]A=458[/tex]
Therefore, the closest answer is C.
Round 832.078107648 to the nearest whole number
Answer:
8.32*10^2 or
832.08
Step-by-step explanation:
Which rule is a recursive rule for the sequence 1, -6, 36, -216,...?
( I'll put the answers a screenshot )
PLZZ Help I've been stuck for so long
Answer:
The last answer
Step-by-step explanation:
We can check
For example,
a5=-6×a4
a5=-6×(-216)
a5=1296
What would be the denominator after rationalizing 7/(5√3 - 5√2)?
Answer:
The denominator will be [tex]5\sqrt{3} +5\sqrt{2}[/tex]
Step-by-step explanation:
ASAPPPPPP PLEASE HELP MEEEEEEEEEEEEEEEEEEEE
Answer:
4 weeks per level
Step-by-step explanation:
notice the pint (1,4)
the next is (2, 8)
meaning that in 4 weeks she completes 1 level and in 8 weeks she completes 2 levels.
Evan tosses a ball from the roof of a building. The path of the ball can be modelled
by the following equations where h represents the height of the ball in meters and
t represents the time in seconds. Each equation below represents the EXACT same
path. Using the information you can obtain from these equations, answer the
following questions.
nu = -4(t + 1)(t-5)
h2 = -4/t - 2)2 + 36
hz = -4t? + 16 + 20
Draw a detailed SKETCH representing the path of the ball. Be sure to include titles
for your axes, appropriate scales, and critical points such as initial value, vertex and
roots of the parabola.
Answer:
Please find attached sketch of the path of the ball, having plot area and plot points, created with MS Excel
Step-by-step explanation:
Question;
The equation representing the path of the ball obtained from a similar question posted online are;
h₁ = -4·(t + 1)·(t - 5), h₂ = -4·(t - 2)² + 36, h₃ = -4··t² + 16·t + 20
The above equations represent the same path
The equation, h₁ = -4·(t + 1)·(t - 5), gives the roots of the height function, h(t), used in determining the height of the ball after time t
At (t + 1) = 0 (t = -1) or at (t - 5) = 0 (t = 5), the ball is at ground level
The ball reaches the ground, is at ground level at t = 1, and at t = 5 seconds after being tossed, where h(t) = 0
The equation of the path of the ball in vertex form, y = a·(x - 2)² + k, is h₂ = -4·(t - 2)² + 36, where, by comparison, we have;
The vertex of the ball = The maximum height reached by the ball = (h, k) = (2, 36)
The coefficient of the quadratic term, t², is negative, therefore, the shape of the parabola is upside down, ∩, shape
The sketch of the path of the ball created with MS Excel, used in plotting the vertex, the initial value and the root points of the parabola, through which the ball passes and joining of the points with a 'smooth' curve is attached
Simplify the expression.
40 -2.32
A. 4
B. 342
C.
22
D. 28
Answer:
37.68
Step-by-step explanation:
40 -2.32
= 37.68
Answer: is C. 22
Step-by-step explanation:
which set of ordered pairs represent a function
Answer:
A relation is just a set of ordered pairs (x,y) . In formal mathematical language, a function is a relation for which: if (x1,y) and (x2,y) are both in the relation, then x1=x2 . This just says that in a function, you can't have two ordered pairs with the same x -value but different y -values.
Step-by-step explanation:
Find the distance between (-5,5) and (2,-2)
Answer:
The distance is 7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{The formula for \underline{distance between} is: }\mathsf{\sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}}[/tex]
[tex]\large\textsf{Whereas }\mathsf{x_2}\large\textsf{ is }\mathsf{2}\large\textsf{ and }\mathsf{x_1}\large\textsf{ is }\mathsf{ -5}\\\\\large\textsf{And also }\mathsf{y_2}\large\textsf{ is }\mathsf{ -2}\large\textsf{ and }\mathsf{ y_1}\large\textsf{ is }\mathsf{5}[/tex]
[tex]\mathsf{\sqrt{(2 - -5)^2+ (-2 + 5)^2}}\\\mathsf{2 - -5}\\\mathsf{= 2 + 5}\\\mathsf{= \bf 7}\\\\\mathsf{-2 + 5}\\\mathsf{= \bf -7}\\\\\mathsf{= \sqrt{(7)^2+ (-7)^2}}\\\\\mathsf{7^2}\\\mathsf{= 7\times7}\\\mathsf{= \bf 49}\\\\\mathsf{(-7)^2}\\\mathsf{= -7\times-7}\\\mathsf{= \bf 49}\\\\\mathsf{= \sqrt{49 +49}}\\\\\mathsf{49+49}\\\mathsf{=\bf 98}[/tex]
[tex]\mathsf{= \sqrt{98}}\\\mathsf{= 7\sqrt{2}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf 7\sqrt{2}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
if the price of an article is without tax is ₹ 800, and the price with tax is ₹ 860 the sales tax rate is_____________
9514 1404 393
Answer:
7.5%
Step-by-step explanation:
The tax as a proportion of the selling price is ...
₹(860 -800)/₹800 = 60/800 = 0.075 = 7.5%
зх:
90
Х
2х:
What is the value of x?
Answer:
60
Step-by-step explanation:
To get the value of x;
3x:90
(90/3) = 30
x = 30
To get the value of 2x;
(2×X);
2 × 30
=60
Brainly to whomever solves these proportion questions! I will give brainly to whomever has the most detailed answer, but I WILL report unrelated and unhelpful questions ( the more reports you get, the quicker you get kicked of brainly - SO DON'T TRY ME)
Answer:
a.) terry didn't line up the triangle correctly. 4/y = 20/18
b.) (20+16)/18
Step-by-step explanation:
for part a, you have to make sure the angles line up correctly (the angle with one tick mark lining up with the angle with one tick mark, the angle with two tick marks lining up with the angle with two tick marks, etc.)
for part b.) you just put the proportional lengths of the bigger triangle in for the lengths of the smaller triangle.
Pls help me this is my homework
Answer
34 match sticks (C)
please mark me as brainliest and pls someone answer my question also
Answer:
Step-by-step explanation:
for first question your pattern is 3x+4 then 3(10)+4=34.. I mean your answer is part c
in second picture if your mean is 7 question, the answer is part 1. w=p/2_125 can not be the answer.
if your mean is 8 question, it's answer is point S. because x=5 &y=-25 then 5-(-25)=+30 it means point S.
but if your mean is the 6 question,it's answer is part 1..it means 3e+5c+2(1)
art I) 69% 2
Amelia is 1.5 m tall. She is standing in front of a tree. Her friend places a
mirror on the ground and moves it until Amelia can see the top of the tree.
The mirror is 4 m from Amelia and 12 m from the tree. How tall is the tree?
a
Answer:
Step-by-step explanation:
this is a question about two similar triangles , one is from Amelia , the other is the tree.
1.5/4 = x/12
solve for x
4.5 = x
the tree is 4.5 meters tall
Can you answer this math homework? Please!
Answers:
airspeed = 42 mphwind speed = 12 mph============================================================
Explanation:
Let's solve the first equation for y
[tex]18 = (x+y)\frac{1}{3}\\\\18*3 = x+y\\\\54 = x+y\\\\x+y = 54\\\\y = 54-x\\\\[/tex]
Then we'll plug this into the second equation and solve for x
[tex]18 = (x-y)*\frac{3}{5}\\\\18 = (x-(y))*\frac{3}{5}\\\\18 = (x-(54-x))*\frac{3}{5}\\\\18 = (x-54+x)*\frac{3}{5}\\\\18 = (2x-54)*\frac{3}{5}\\\\18*5 = 3(2x-54)\\\\90 = 6x-162\\\\6x-162 = 90\\\\6x = 90+162\\\\6x = 252\\\\x = 252/6\\\\x = 42\\\\[/tex]
This is the average airspeed of the plane, in miles per hour (mph). It's the speed without accounting for the wind. If there's no wind at all, then this would be the ground speed of the plane.
Use this value of x to find y
y = 54-x
y = 54-42
y = 12
The average speed of the wind is 12 mph.
The perimeter of a rectangle is 25 2/5 ft. The length is
width. Find the length and width of the rectangle.
A. = 9.375 ft and w = 3.125 ft
B. = 9.525 ft and w = 3.175 ft
C. = 19.05 ft and w = 6.35 ft
D. = 7.85 ft and w = 4.85 ft
Answer:
Width = 4.85 feet
Length = 7.85 feet
Step-by-step explanation:
Given:
Perimeter of a rectangle = 25 2/5 ft = 25.4 feet
Length = 3 + Width
Computation:
Assume;
Width = a
So,
Length = 3 + a
Perimeter of a rectangle = 2(l + b)
25.4 = 2[(3 + a) + a]
25.4 = 2[3 + 2a]
25.4 = 6 + 4a
4a = 19.4
a = 4.85
Width = 4.85 feet
Length = 3 + 4.85
Length = 7.85 feet
Choose ALL of the ordered pairs that are solutions to the equation.
5y = 2x - 7
a) (6, 0)
b) ( 7, 21)
c) (8, 18)
d) ( -3, 4)
b) ( 7, 21)
Step-by-step explanation:
5(7)=2(21)-7
35=42-7
35=35
Answer:
None of them
Step-by-step explanation:
a: 5*0=2*6-7 False
b: 5*21=2*7-7 False
c: 5*18=2*8-7 False
d: 5*4=2*-3-7 False
find two consecutive odd number such that six times the smaller plus four times the greater comes to 138 hint let the number be x and x + 2
Step-by-step explanation:
here's the answer to your question
Explain how you can find the constant of proportionality from a graph representing a proportional relationship when it shows a point with an x - value of 1 and if it doesn't show an x - value of 1 .
tienees que fijartelos extrreemos
help help help pls pls
Answer:
abcd is a quadrilateral so ,
a is ( 0,-5 )
b is ( 2,-5 )
c is ( 1,-7 )
and d is ( 0,-7 )
Which function of x has the least value for they intercept?
pls help and pls provide workings
(x-h)²+(y-k)²=r²
(3-h)²+(3-0)²=5²
h²-6h+9+9=25
h²-6h-7=0 —> (h-7)(h+1)=0
h=7 , h=-1
h=7 —> (x-h)²+y²=r² —> (x-7)²+y²=25 —>
x²-14x+49+y²=25 —> x²+y²-14x+24=0
h=–1 —> (x-h)²+y²=r² —> (x+1)²+y²=25 —>
x²+2x+1+y²=25 —> x²+y²+2x–24=0
I hope it helped you ^_^
Rationalise the denominator of
2√3 + 3√2/4√3 +√2
Answer:
[tex]\frac{9+ 5\sqrt{6} }{23}[/tex]
Step-by-step explanation:
2√3 + 3√2 * 4√3 -√2
4√3 +√2 4√3 -√2
multiply by conjugate
2√3 + 3√2 * 4√3 -√2 = 18 +10√6 = 9 +5√6
4√3 +√2 4√3 -√2 46 23
Answer:
Step-by-step explanation:
To rationalize the denominator, multiply the numerator and denominator by the conjugate of the denominator.
Conjugate of 4√3 + √2 is 4√3 - √2
(2√3 +3 √2)(4√3 - √2) = (2√3 * 4√3) - (2√3*√2) + (3√2*4√3) -(3√2*√2) {Use FOIL method}
= 8*3 - 2*√6+12√6 -3*2
= 24 -2√6 +12√6 - 6
= 24 - 6 + (-2+12)√6)
= 18 + 10√6
[tex]\frac{2\sqrt{3}+3\sqrt{2} }{(4\sqrt{3}+\sqrt{2} }\\\\=\frac{(2\sqrt{3}+3\sqrt{2})(4\sqrt{3}-\sqrt{2}) }{(4\sqrt{3}+\sqrt{2} )(4\sqrt{3}-\sqrt{2} )}\\\\=\frac{18+10\sqrt{6} }{(4\sqrt{3})^{2}-(\sqrt{2})^{2} }\\\\=\frac{18+10\sqrt{6} }{48-2}\\\\=\frac{18+10\sqrt{6} }{46}\\\\\\=\frac{2(9+5\sqrt{6} )}{46}\\\\=\frac{9+5\sqrt{6} }{23}[/tex]
Please help me asap! I don’t understand
Answer:
18
Step-by-step explanation:
4*3 = 12
1/2 * 3 * 4 = 6
Maxine is taking 5 gallons of drinking water on a camping trip. How many quarts of drinking water is Maxine taking on the camping trip?
Answer:
20 quarts
Step-by-step explanation:
There are 4 quarts in a gallon
5 gallons * 4 quarts / 1 gallon = 20 quarts
Answer:
20 US quarts
Step-by-step explanation:
there are 4 quarts in a gallon so you have to multiply 5 x 4 to get the total amount of quarts in a gallon.
Hope it helps c:
Solve the system of equations.
6x – Зу = 3
-2x + y = 14
1.What number would you multiply the second equation
by in order to eliminate the x-terms when adding to the
first equation?
2.What number would you multiply the first equation by in
order to eliminate the y-terms when adding to the
second equation?
Answer:
1. Multiply by 3
2. Multiply by 1/3
Step-by-step explanation:
6x - 3y = 3
-2x + y = -14
1. In order to eliminate the x-terms, they would both have to equal the same number with opposite signs (positive and negative). Since we are only touching the second equation, how can we get from 2 to 6? We can multiply 2 by 3 to get to 6 (negative 6 in the end.) This would result as follows:
6x - 3y = 3
-6x + 3y = 42
2. In order to eliminate the y-terns through multiplying with the first equation, we have to figure out how to make 3y into 1y. We can do this by adding its reciprocal, 1/3. 1/3 × 3 = 1. This would result as follows:
2x - y = 1
Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = x -4
h(x) = 3/4 x
h(x) = 1/4 x
Step-by-step explanation:
h(x) = 1/4 x
tha is the answer
Please help me find this angle
Answer:
x = 78
Step-by-step explanation:
We can find angle y
D + B + y = 180 since the sum of the angles of a triangle are 180
31+47+ y =180
78+y = 180
y = 180 - 78
y = 102
x+y = 180 since they form a straight line
x + 102 = 180
x = 180-102
x = 78
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
we have to find the value of the x°=<GHC
In the triangle BDH,
<D=31°<B=47°we know that,
Sum of three angle of a triangle is 180°
According to the question,
<D+<B+<BHD=180°31°+47°+<BHD=180°78°+<BHD=180°<BHD=180°-78°<BHD=102°But,
<GHC and <BHD forms a straight line
so,
<GHC+<BHD=180°102°+x=180°x=180°-102°x=78°Therefore,
The value of x is 78°
Mark invests $8,008 in a retirement account with a fixed annual interest rate of 2% compounded 6 times per year. What will the account balance be after 16 years?
Please help i need the answer by tomorrow!
Given:
Principal value = $8,008
Rate of interest = 2% compounded 6 times per year.
Time = 16 years
To find:
The account balance after 16 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest, n is the number of times interest compounded in an year and t is the number of years.
Putting [tex]P=8,008, r=0.02,n=6,t=16[/tex] in the above formula, we get
[tex]A=8008\left(1+\dfrac{0.02}{6}\right)^{6(16)}[/tex]
[tex]A=8008\left(\dfrac{6.02}{6}\right)^{96}[/tex]
[tex]A=11022.1721148[/tex]
[tex]A\approx 11022.17[/tex]
Therefore, the account balance after 16 years is $11022.17.
HELPPPPPPPPPPP PLSSSSSSSSSSSSS
Answer:
6a+17
Step-by-step explanation:
This is an algebra 'expression' where you have to rearrange the question to the correct 'expression'
4a+2a= 6a
8+9= 17
Answer:
= 4a+2a+8+9
=6a+17
SOMEONE PLEASE HELP ME ASAP !!!
Mrs. Pregnals's biology classes are going on a field trip. She has them break into groups of three or four students in order to do labs. She has a total of 120 students and 32 total groups are formed.
If t represents the number of three person groups and frepresents the number of four person groups, then write a system of equations that models this situation.
How many four person groups are there? Only an algebraic solution will receive full credit.
PLEASE HELP !!!!
x + y = 32 (1)
3x + 4y = 120 (2)
x = 8; y = 24
Step-by-step explanation:
Total students = 120
Number of groups = 32
If the number of three person groups = x
Number of four person groups = y
write a system of equations that models this situation
x + y = 32 (1)
3x + 4y = 120 (2)
From (1)
x = 32 - y
Substitute x = 32 - y into (2)
3(32 - y) + 4y = 120
96 - 3y + 4y = 120
- 3y + 4y = 120 - 96
y = 24
Substitute y = 24 into (1)
x + y = 32
x + 24 = 32
x = 32 - 24
x = 8
x = 8; y = 24