Answer:
Area of A: 9pi
5.4 Times greater
Step-by-step explanation:
Circle A Radius: 3
B Radius: 3+A (6 total)
C Radius: 3+B (9 total)
D Radius: C-2 (7 total)
Area of each Circle using formul pi*radius²
A: 9pi
B: 36pi
C: 81pi
D: 49pi
49/9 = 5.4 Circle D is 5.4 times greater then A
A 1.4 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 91.4 m from the ground the angle of elevation of the balloon from the eyes of the girl at that instant is 60 degree after sometime the angle of elevation reduces to 30 degree find the distance travelled by the balloon during that interval.
take √3 = 1.732
Step-by-step explanation:
Answer Attached!! Hope it helps you!!Answer:
105.53 m
Step-by-step explanation:
Distance covered until 60°
tan60° = 91.4/d₁√3d₁ =91.4d₁ = 91.4/1.732d₁ = 52.77 mDistance covered until 30°
tan30° = 91.4/d₂d₂/√3 = 91.4d₂ = 91.4 x 1.732d₂ = 158.3 mDistance in interval (d)
d₂ - d₁158.3 - 52.77105.53 mIf A = -4 B = -8 Y = -2
What is the answer to 4a^2 - y + 2b^3
(^ is exponents)
Sand is deposited into a pile with a circular base. The volume V of the pile is given by V - r^3/3. Where r is the radius of the base, in feet. The circumference of the base is increasing at a constant rate of 5. Fect per hour. When the circumference of the base is 8x feet, what is the rate of change of the volume of the pile, in cubic feet per hour?
The rate of the change of the volume of the pile, in cubic feet per hour, when the circumference of the base is 8x feet, for this case, is 40x²/π³ cubic ft/ hour.
How to calculate the instantaneous rate of change of a function?Suppose that a function is defined as;
[tex]y = f(x)[/tex]
Then, suppose that we want to know the instantaneous rate of the change of the function with respect to the change in x, then its instantaneous rate is given as:
[tex]\dfrac{dy}{dx} = \dfrac{d(f(x))}{dx}[/tex]
What is chain rule of differentiation?If a variable z depends on the variable y, which itself depends on the variable x, then we have:
[tex]\dfrac{dz}{dx} = \dfrac{dz}{dy} \times \dfrac{dy}{dx}[/tex]
(assuming all these derivatives exist).
For this case, we're given that:
[tex]V = \dfrac{r^3}{3}[/tex] (in cubic ft)
Assuming the cross section being circular, expressing radius 'r' in terms of circumference, we get:
[tex]C = 2\pi r\\\\r = \dfrac{C}{2\pi}\\\\V = r^3/3\\\\V = \dfrac{C^3}{24\pi^2} \: \rm ft^3[/tex]
It is given that rate of change of circumference with respect to time is 5.
Thus, symbolically, we get:
[tex]\dfrac{dC}{dt} = 5[/tex]
Finding rate of change of volume with respect to time:
[tex]\dfrac{dV}{dt} = \dfrac{d\left (\dfrac{C^3}{24\pi^2}\right) }{dC} \times \dfrac{dC}{dt} = \dfrac{3C^2}{24\pi^3} \dfrac{dC}{dt} = \dfrac{5C^2}{8\pi ^3} \: \rm ft^3/hour[/tex]
(using chain rule of differenciation).
At C = 8x ft, we get:
[tex]\dfrac{dV}{dt} = \dfrac{5C^2}{8\pi ^3} \: \text{ft}^3\text{/hour}\\\\\dfrac{dV}{dt} |_{C = 8x} = \dfrac{5(8x)^2}{8 \pi^3} = \dfrac{40x^2}{\pi^3} \: \rm ft^3/hour[/tex]
Thus, the rate of the change of the volume of the pile, in cubic feet per hour, when the circumference of the base is 8x feet, for this case, is 40x²/π³ cubic ft/ hour.
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I need help with this problem
PLEASE HELP I NEED THIS DONE TODAy
what expressions are equivalent to 3x^2 +30x-72
1. 3(x^2+10x-24)
2. 3(x-6)(x-4)
3. 3x(x+10)-72
Answer:
1. 3(x^2+10x-24)
Step-by-step explanation:
3x^2 +30x-72
so you want to see what each element has in common with the whole equation. In this case, everything is divisible by 3 so we take out the 3.
3(x^2+10x-24)
pls help me i need an a
Answer:
C
Step-by-step explanation:
The diagram goes up in increments of 2/8 5 times, which C represents.
The volume of a rectangular box is 5760 units^3
the surface area is 2002 units^2
The sum of the edges of the box sum up to 216 units
If the edges of the box are increased by 1 unit , work out the new volume of the box
The new volume after the edges of the box are increased by 1 unit = 266,491 units^3
Calculation of volume of rectangular boxThe volume of a rectangle= l×w×h
The surface area of the box = (side)^2
The sum of the edges of the box = 216 units
If area of the box x^² = 2002
X = √2002
X = 44.7units
But the sum of the edges = 216 units
44.7 + 44.7 + y = 216
make y the subject of formula,
y = 216 - 89.4
y= 126.6 units
Therefore the length, width and height of the rectangular box = 44.7, 44.7 and 126.6 units respectively.
When additional 1 unit is added to each edge it becomes,
44.7 +1 =45.7,
44.7 + 1 = 45.7and
126.6 + 1 = 127.6 units.
Therefore the new volume = 45.7×45.7 × 127.6 = 266,491 units^3.
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Sarah wants to buy her friend balloons for her birthday. foil balloons cost $3 each and plain balloons cost $1.50 each. She has $30 to spend. if she buys a total of 15 balloons, how man plain balloons can she buy?
Answer:
10 if the other it is 20
Step-by-step explanation:
she can get 10 foil balloons that cost $3 becasue 30 / 3 = 10 out of 30 if she usees all the money on foil balloons
she can get 20 plain balloons cost that cost $1.50 because 30 / 1.50 = 20 if she usees all the money on plain balloons
Find the surface area of each figure. Round to the nearest hundredth when necessary.
Answer:download cameramath it helped me a lot!
Step-by-step explanation:when I have hard questions i just go to
Cameramath!
What trigonometric ratio is 6/10?
Answer:
tanC
Step-by-step explanation:
tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{6}{10}[/tex]
[tex]\color {white}\boxed{\colorbox{black} { QUESTION♡}} [/tex]
A hemispherical bowl of internal diameter 30 cm contains liquid liquid is to be filled into a cylindrical shape bottles each of diameter 5 cm and height 6 cm find the number of bottles necessary to empty. the bowl ??
✦no spam
✦proper solving
✦diagram if necessary
plss help !!
60 bottles required.
calculate the volume of both shapesFor hemispherical bowl:
[tex]\sf volume: \dfrac{2}{3} \pi r^3[/tex] [diameter: 30 cm, radius: 15 cm]
[tex]\rightarrow \sf volume: \dfrac{2}{3} \pi (15)^3[/tex]
[tex]\rightarrow \sf volume: 2250\pi \ cm^3[/tex]
For each cylindrical bottles:
[tex]\sf volume: \pi r^2h[/tex] ["r" is 2.5 cm, "h" is 6 cm]
[tex]\rightarrow \sf volume: \pi (2.5)^2(6)[/tex]
[tex]\rightarrow \sf volume: 37.5 \pi \ cm^3[/tex]
So number of required bottles:
volume of hemisphere/volume of each cylindrical bottle2250π/37.5π60 bottlesWhich equation represents exponential growth?
Answer:
D
Step-by-step explanation:
exponential function is: f(x)=b^x
the function represents exponential growth when b>1
A)b=0.84 < 1 this function decay
B) not exponential function
C) not exponential function
D) b=1.06 >1 growth
please help with maths question thank youu
3d.79480km thats the answer i think
Can someone please help me? :(
Answer:
____________________________________
[tex] \large{ \tt{ \star \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]
[tex] \large{ \boxed{ \tt{♡ \: VOLUME \: = l \: \times b \: \times h}}}[/tex]
[tex] \longrightarrow \: 4 \frac{1}{3} \times 3 \frac{1}{3} \times 4[/tex]
[tex] \longrightarrow \: \frac{13}{3} \times \frac{10}{3} \times 4[/tex]
[tex] \longrightarrow \: \frac{540}{9} [/tex]
[tex] \longrightarrow \tt \: 57 \frac{7}{9} \: ft ^{3} [/tex]
Our final answer is 57 7 / 9 ft^3 .- HappY LearninG ^_________^
Answer: 57 7/9 is the answer
Step-by-step explanation: 4 times 4 1/3 times 3 1/3 is 57 7/9
Convert 4 gallons to pints. Choose the words and numbers to complete the statements.
A gallon is a
Choose...
unit than a pint, so
Choose...
the number of gallons by
Choose...
to find the number of pints. Therefore, 4 gallons is equal to
Choose...
pint(s). Please help and please check your answer
Answer:
A gallon is a
greater
unit than a pint, so
we multiply
the number of gallons by 8
to find the number of pints. Therefore, 4 gallons is equal to 32
pint(s).
The value of 4 gallons will be equal to 32 pints.
What is an expression?Expressions can also include functions, trigonometric functions, logarithmic functions, and other mathematical operations. They are used to represent mathematical ideas and formulas and can be manipulated and simplified using algebraic techniques.
Expressions can be evaluated, meaning that they can be simplified to a single value. The value of an expression depends on the values of any variables or numbers within the expression.
We need to divide the number of gallons by 0.125 (since there are 8 pints in a gallon)
To find the number of pints. Therefore, 4 gallons is equal to,
32 pints.
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A family-sized box of cereal with dimensions 3x9x12 inches costs $6, while the regular size with
dimensions 2 x 8 x 9 inches costs $4.50. What is the difference in price per cubic inch?
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The coordinates of the endpoints of CD are C(2, 5) and D(4, 9). Which measurement is the closest to the length of CD in units? A. 2 units B. 3.5 units C. 4 units D. 4.5 units
The measurement is the closest to the length of endpoints of CD in units is 4.5 units. Option D is the correct option.
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2}[/tex]
The coordinates of the endpoints of CD are C(2, 5) and D(4, 9). Put the values of coordinate point in the above formula as,
[tex]D = \sqrt{(4-2)^2 + (9-5)^2}\\D = \sqrt{2^2 + 4^2}\\D = \sqrt{4 + 16}\\D=4.47\\D\approx4.5\rm\; units[/tex]
Thus, the measurement is the closest to the length of endpoints of CD in units is 4.5 units. Option D is the correct option.
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There are 8 dogs. There are 5 Bones. How many dogs do not get a Bone
Answer:
3 dogs dont get a bone
Step-by-step explanation:
there are 8 dogs and 5 bones if you give one bone to each dog then 3 dogs will remain without one making the answer 3
hope this helped
3.Amari is charging her phone. It currently has a charge of 35%. After 30 minutes, it will have a charge of 55%. What is the rate of change
Answer: 0.67%/min or 40%/hr
Step-by-step explanation:
In 30minutes It charges 20%, in 1 minute, it will charge 20/30 = 0.6666
In 1hr it will charge 40%, twice the amount it charged in 30minutes (From 35 to 55)
Five students, adriana, ben, chandra, diana, and ernesto, would each like one of the four spots at the regional science fair. Their names are placed in a hat, and four names are chosen at random to decide who attends the fair. What is the theoretical probability that chandra will be chosen as one of the science fair participants?.
The theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.
What is theoretical probability?Theoretical probability of an event is the ratio of number of favourable outcome to the total expected number of outcome of that event.
Five students, Adriana, Ben, Chandra, Diana, and Ernesto, would each like one of the four spots at the regional science fair.
Their names are placed in a hat, and four names are chosen at random to decide who attends the fair.
The total number of names are 5.The total number of names chosen are 4.The total number of ways 4 names can be taken out from 5 names is,
[tex]^5C_4[/tex].
Here one spot needs to be fixed for Chandra. Now the total number of outcome remain 4 and favourable outcome remain 3.
Thus, the number of ways 4 names can be taken out such that it contains the name Chandra is
[tex]^4C_3[/tex].
The theoretical probability that Chandra will be chosen as one of the science fair participants is,
[tex]P=\dfrac{^4C3}{^5C4}\\P=\dfrac{4}{5}\\P=0.8\\P=80\%[/tex]
Thus, the theoretical probability that Chandra will be chosen as one of the science fair participants is 0.8 or 80%.
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Do you think Maths in UK high schools is harder compared to USA?
Answer:
There’s nothing really different between the UK and the US when it comes down to Tests and Schools. The UK have harder tests but a laughable school grading scale, while the US has slightly easier tests but a harsher grading scale.
Answer: It all depends on the category you are comparing the UK has grading Scales of 1-9 but in the US you have A,B,C,D,F which are is way harder to understand in my opinion.
Juana weighed a sample of 12 jumbo eggs. Here are their weights (in grams): \begin{aligned} &67, 67, 68, 69, 69, 70, \\ &71, 71, 71, 72, 72, 73 \end{aligned} 67,67,68,69,69,70, 71,71,71,72,72,73 The mean is \bar x =70 x ˉ =70x, with, \bar, on top, equals, 70 grams. Which of these formulas gives the standard deviation?
Step-by-step explanation:
khan academy
The formulas that give the standard deviation will be given below.
[tex]\sigma = \sqrt{\dfrac{(67 - 70) ^2 + (67 - 70) ^2 + ( 68 - 70) ^2 + ....+ (73 - 70) ^2}{12}}[/tex]
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.
The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
[tex]\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}[/tex]
Juana weighed a sample of 12 jumbo eggs. Here are their weights (in grams): 67, 67, 68, 69, 69, 70, 71, 71, 71, 72, 72, 73
The mean is μ =70 grams.
Then the standard deviation is given as,
[tex]\sigma = \sqrt{\dfrac{(67 - 70) ^2 + (67 - 70) ^2 + ( 68 - 70) ^2 + ....+ (73 - 70) ^2}{12}}[/tex]
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The height of a trapezoid is 6 in. and its area is 72 inches squared. One base of the trapezoid is 6 inches longer than the other base. What are the LENGTHS of the bases?
Answer:
9 and 15 inches
Step-by-step explanation:
The unknown lengths can be found by making use of the formula for the area of a trapezoid.
__
Let x represent the shorter base. Then the longer one is (x+6), and the area is ...
A = 1/2(b1 +b2)h . . . . area of a trapezoid with bases b1, b2, and height h
72 = 1/2(x +(x+6))(6)
24 = 2x +6 . . . . . . . . . simplify, divide by 3
18 = 2x . . . . . . . . . subtract 6
9 = x . . . . . . divide by 2
15 = x+6 . . . . . . the length of the longer base
The bases are 9 inches and 15 inches in length.
A student solves the following equation and determines that the solution is −2. is the student correct? explain. 3 a 2 − 6a a2 − 4 = 1 a − 2
Answer:
Step-by-step explanation:
Solving the equation, it is found that it has no solutions, thus, the student is not correct.
find the measure if angle R, goven that the largest triangle is a right triangle
Answer:
27°Step-by-step explanation:
Since the largest triangle is right triangle, the vertical segment is the perpendicular bisector of right angle with vertex at the center of circle.
Then we have
m∠R + 18° = 90°/2m∠R + 18° = 45°m∠R = 45° - 18°m∠R = 27°Answer:27
Step-by-step explanation: I think :)
please help w ccorrect answer !! I'll mark brainliest
Answer:
x = 146°
Step-by-step explanation:
The 34° angle and the angle marked x are same side interior angles. They are supplementary which means the angles should add up to 180°
34 + x = 180
Subtract 34.
x = 146
a cylindrical tank has a volume of 100 gallons. a similar tank next to it has dimensions that are 2 times as large. what is the volume of the larger tank?
The volume of the cylindrical tank is the amount of space in it
The volume of the larger tank is 800 gallons
How to determine the volume of the larger tank?The volume of the small tank is given as:
v = 100
The volume of a cylinder is:
v = πr²h
For the bigger tank, we have:
V = πR²H
The dimensions are twice the smaller tank. This gives
V = π(2r)² * (2h)
Expand
V = 8πr²h
Substitute v = πr²h in V = 8πr²h
V = 8v
Substitute v = 100 in V = 8v
V = 8 * 100
V = 800
Hence, the volume of the larger tank is 800 gallons
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PLEASE HELP WILL GIVE BRAINLIEST FOR CORRECT AWNSER
Answer:
49 un^2
Step-by-step explanation:
We can split the bird feeder into two parts, a rectangle and a triange.
The rectangle would have a base of 7 un and a height of 5 un
So, the area would be 35 un^2
The trianges base would be 7 un, the same as the rectangle, and the height would be 4 un.
So, the area would be 14 un^2
Therefore, the total area of the bird feeder would be 49 un^2
Swimming pool A contains 30 gallons of water and is filling at a rate of 3 gallons per minute.
Swimming pool B contains 18 gallons of water and is filling at a rate of 5 gallones per minute.
Enter the number of minutes it will take for both swimming pools to contain the same amount of water
Answer:
6 Mins
Step-by-step explanation:
I like to solve these questions with a equation.
I form the equations with Orginal Amount + FlowingRateX.
Since we have 2, and we want them to be the same they will be equal to eachother.
30+3x=18+5x
12=2x
x=6