Answer:
D = 10.1m
Step-by-step explanation:
We know that the volume of a sphere of radius R is:
V = (4/3)*pi*R^3
where pi = 3.14
A hemisphere is half a sphere, then the volume of an hemisphere is half of the volume of a sphere, then the volume of a hemisphere of radius R is:
V' = (1/2)*(4/3)*pi*R^3
Now, we know that our hemisphere has a volume:
V' = 272m^3
Then we can solve the equation:
272m^3 = (1/2)*(4/3)*pi*R^3
For R.
(we want the diameter, but remember that the diameter is equal to two times the radius, so finding the radius is a good start)
272m^3 = (1/2)*(4/3)*pi*R^3
272m^3 = (4/6)*3.14*R^3
272m^3*(6/4*3.14) = R^3
∛( 272m^3*(6/4*3.14) ) = R = 5.06 m
And the diameter is two times that, so we get:
D = 2*5.06m = 10.12 m
Rounding this to the nearest tenth of a meter (first digit after the decimal dot), we get:
D = 10.1m
In a right angle triangle the side lengths are 4 and 2. Please find the hypotenuse. You can answer this in radical form OR give the answers in hundredth.
Answer:
4.47
Step-by-step explanation:
A squared + B squared = C squared
4*4=16 2*2=4 16+4=20
the square root of 20 is 4.472135955, rounded to the nearest hundreth is 4.47
Can someone help me? It's urgent and thank you!
Answer:
[tex]\frac{1}{3(x-2)}[/tex]
Step-by-step explanation:
Hi there!
We need to multiply the fractions:
[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{x^{2}+x-6}[/tex]
Before we multiply, we can cancel out and factor the polynomials to make multiplying easier
First, we can factor x²+x-6
1 (in front of +x) is the sum of two numbers and -6 is the product of those numbers
Those numbers are -2 and 3
so when we factor, we get:
(x-2)(x+3)
here are the fractions so far:
[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{(x+3)(x-2)}[/tex]
we can cancel out x+3 on both fractions
[tex]\frac{1}{12x}[/tex]×[tex]\frac{4x}{x-2}[/tex]
we can also cancel out 4x from both fractions
[tex]\frac{1}{3}[/tex]×[tex]\frac{1}{x-2}[/tex]
now multiply the fractions together
[tex]\frac{1}{3(x-2)}[/tex]
So the first option is your answer
Hope this helps! :)
Please help 7th grade math
Answer:
d = 67.5
e = 22.5
Step-by-step explanation:
d + e = 90
d = 3e
Therefore, we can simply divide 90 by 4, which gives us 22.5, and also tells us what e equals. Then, multiply that by 3 to get d.
Hope that this helps!
I’m confused.. please help me
Answer:
It's [tex]3x^4+22x^3+31x^2-6[/tex]
Step-by-step explanation:
Area is L times width
LW=H
and the length is [tex]3x^2+4x-1[/tex] times the width [tex]x^2+6x+3[/tex]
basically you multiply yhem togetheer and combine like terms and voila
The answer is 3x^4 + 24x^2 - 6
explanation:
A = l × w
= (3x^2+4x-2)(x^2+6x+3)
=(3x × x) + (4x×6x) + (-2×3)
= 3x^2 + 24x^2 - 6
Please help me Thanks
Please help I need help
Answer:
x=10
Step-by-step explanation:
To solve for x, you need to draw an imaginary line connecting the right end of side x to the left side with length 15. This forms a triangle with side lengths 6 and 8, and hypotenuse x. Using the Pythagorean Theorem to solve for x, we get 6^2 + 8^2 = x^2, 36 + 64 = 100, [tex]\sqrt{100}[/tex] = 10.
Answer:
It's 10
Step-by-step explanation:
C^2=A^2+B^2blank
C=√(A^2+B^2)
If c is x and a and b are the side lengths the we can use Pythagoras's theorem to calculate the length of the line. A=6 B=8 and in the end when you calculate all that doohickey stuff you get x=10
Divide: 5 + 2i by 3 + 4i.
Answer:
1-2i
Step-by-step explanation:
Divide: 5 + 2i by 3 + 4i.
Given data
5 + 2i by 3 + 4i.
We have the expression as
(5 + 2i)/(3 + 4i)
Rationalize the denominator
(5 + 2i)/(3 + 4i)* (3 -4i)/(3 -4i)
=(5*3-20i+6i-8i^2)/9-12i-12i+16i^2
=15-14i+8/9-16
=7-14i/-7
=1-2i
SOMEONE HELP, I HAVENT BEEN PAYING ATTENTION TO CLASS
Answer:
A=4cm
ok to do this we do the formula
A=PiR^2
A=3.14*4^2
A=3.14*16
A=50.24
and the area of circle B is 4 times the area of a so
50.24*4=200.96
200.96=3.14*X^2
Since r is on the right side of the equation, switch the sides so it is on the left side of the equation. 3.14 ⋅ r 2 = 200.96 Divide each term by 3.14 and simplify.
r 2 = 64
r=8
CIRLCE A=50.24
CIRLCE B=8
Which cone has a volume of 24 x cm?
Answer:
cone a is the correct answer
the third choice is the cirrect answer.
the cone with a 4.5 cm height and a 8cm diameter
hope this helps :)
Un hombre compra un caballo por 50 dolares. Vende el caballo por 70 dolares. Despues vuelve a compar el caballo por 80 dolares. Y vuelve a venderlo de nuevo por 90 dolares. Al final, ¿cuanto obtuvo de ganancia?
Answer:
30 dólares es la ganancia neta.
Step-by-step explanation:
En la primera transacción, el hombre está perdiendo 50 dólares:
1. -50 dólares
En la segunda transacción, el hombre gana 70 dólares:
2. -50 + 70 = +20 dólares
En la tercera transacción pierde 80 dólares:
3. 20 - 80 dólares = -60 dólares
Y en la última transacción, la ganancia es de 90 dólares. Así, la ganancia neta es:
4. -60 dólares + 90 dólares =
30 dólares es la ganancia netaI’m very confused with questions and I need help
Both equations represent straight lines
The first line has slope of 2 and y-intercept at -3
The second line gas slope of 2 and y-interceot at +3
you may now try to plot these two lines on the paper
I could use some help on this
Answer: B: 1/8
Step-by-step explanation: the formula for volume of a cube is a^3, so I 1/2^3 = 1/8
your answer is B: 1/8
the diameter of a circle is 18 centimeters. What is the area? Give the exact answer in simplest form
Answer:
254.47
Step-by-step explanation:
Formula is pi r^2
the radius is 9 which is half of the diameter
pi 9^2
Factor completely. x2−6x+8 Enter your answer in the boxes. x2−6x+8= ( )( )
plzzzzzzzzzzzzzz helpppppppppppppppppppppppp
Answer:
(x - 4)(x - 2)
Step-by-step explanation:
x² - 6x + 8
x² - 2x - 4x + 8
x(x - 2) - 4(x - 2)
(x - 4)(x - 2)
Step-by-step explanation:
(x-4)(x-2)=0
x2-2x-4x+8=0
x2-6x+8=0
Check all that apply: Which similarity statements are true?
Answer:
B and C
Step-by-step explanation:
Which functions are even?
Answer:
Step-by-step explanation:
First function: even, because both exponents are even; graph is symmetric about the x-axis
Second function: mixture of even and odd exponents: not even
Third function: This is the square root of x - 2; not even
Fourth function: |x| is even; graph is symmetric about the x-axis
quinn and randy both opened savings accounts with $50. Quinn deposited $25 each week for 4 weeks . randy deposited more than $25 each week for 4 weeks
which graph could represent randy’s total savings during 4 weeks ?
A
B
C
D
A quantity with an initial value of 670 decays continuously at a rate of 25% per hour.
What is the value of the quantity after 7 hours, to the nearest hundredth?
Answer:
89.43
Step-by-step explanation:
a = 670 * (1 * .25)^7
a = 670 * (.75)^7
a = 89.43
Contruction workers are building a brick wall. The wall needs to be 3 feet tall, and the builders have enough bricks for the wall to have a volume of 279 cubic feet.What will the area of the base of the wall be?
Answer:
[tex]Base\ Area = 93ft^2[/tex]
Step-by-step explanation:
Given
[tex]Volume = 279ft^3[/tex]
[tex]Height =3ft[/tex]
Required
The base area
Volume is calculated as:
[tex]Volume = Base\ Area * Height[/tex]
This gives:
[tex]279= Base\ Area * 3[/tex]
Make Base Area the subject
[tex]Base\ Area = \frac{279}{3}[/tex]
[tex]Base\ Area = 93ft^2[/tex]
Paige ran four miles a day last week. This week, she ran five miles a day. How did adding a mile most likely affect her workout?
Answer:
A. It increased both her intensity and her workout time.
Step-by-step explanation:
A. It increased both her intensity and her workout time.
B. It decreased her intensity but increased her workout time.
C. It increased her intensity but decreased her workout time.
D. It decreased both her intensity and work out time
Last week = 4 miles per day
This week = 5 miles per day
Intensity refers to how hard one exercises.
Workout time refers to how long one exercises the body.
By adding a mile, she has increased how hard she exercises her body (intensity))
And also increased how long she exercises the body (workout time) because the time she spent on 5 miles per day is more than time spent on 4 miles per day
You got paid
$45 to babysit your
nephew for 5 hours.
How much did you
get paid per hour?
Answer:
You get paid $9 per hour
Step-by-step explanation:
pretty easy i just need to know if i put these in the right order please help !
Answer:
the cone is not a prism, as it is not a cylinder. the star prism(lookimg like thing) is. alsp it is circular so it cannot be a prism(like the cylinder)
NO LINKS!!! PLEASE HELP ILL GIVE BRAINLIEST
Answer:
for number one it is 6
for number two it is 48
Step-by-step explanation:
please mark brainliest
Answer:
Step-by-step explanation:
1. 3 · 2 (First power) = 3 · 2 = 6
2. 3 · 2 (Fourth power) = 3 · 16 = 48
Help me plzzz
Stefan bought 3 hamburgers and 4 fries for a total cost of $26.50.
Answer:
6.50
Step-by-step explanation:
Answer:
6.50
Step-by-step explanation:
the 7 one is too high to make sense and the rest are to low to make sense its a multiple choice question so it probably one mark for correct answer
Please please help me !!!
Answer:
D - x=y/12
Step-by-step explanation:
So lets just take one set of data from the table.
This is all we need.
So I am just going to set our values to:
x = 21
y = 252
Now lets plug this into each equation, ands ee if it is accurate or not:
21=12+252
=
21=264
Thats not right! Lets try the next one:
21 = 252/12
=
21 = 21
Thats correct! Lets just try the other ones anyway:
21 = 252 - 12
=
21=240
Thats not right! Lets try the last one:
21 = 12*252
=
21 = 52,424
That is most definatly not right!
So the answer is B, x=y/12
Hope this helps!
The ratio of dogs to cats at the animal shelter is 2:5. If there are 35 cats, how many dogs are there?
Answer:
Step-by-step explanation:
there are 18 dogs
Answer:
14
Step-by-step explanation:
So the ratio of dogs (2) to cats (5) is 2:5
How did we go from 5 to 35?
Multiply by 7
So multiply 2 with 7 which is 14
So there are 14 dogs
Hope this helps!
Find x such that x, 56, 65 is a Pythagorean triple.
Help ASAP
Answer: 59
Step-by-step explanation:
Answer:
x = 33
Step-by-step explanation:
b^2 = c^2− a^2 = 652 − 562 = 4225 − 3136 = 1089 =33^2
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Answer: is
59
Step-by-step explanation:
pls give brainly
Solve the following equations:
a)
4b = 20
Answer:
b = 5
Step-by-step explanation:
You want to get b on one side alone so you divide by 4.
20 divided by 4 is 5.
Answer:
b = 5
Step-by-step explanation:
4b = 20
Whatever we do to one side of the equation, we have to do to the other.
To "isolate the variable", or get "b" by itself, we have to divide both sides by 4
4b divided by 4 is b, since "4b = 4 times b"
20 divided by 4 is 5
4b = 20
b = 5
Which graph represents the function f(x) = 5x + 3?
6
5
A++
4
34
2
1
o
-6 -5 -4 -3 -2 -14
1
2
3
4
5
х
2
3
Answer:6
Step-by-step explanation:
Which graph represents the function f(x) = 5x + 3?
6
5
A++
4
34
2
1
o
-6 -5 -4 -3 -2 -14
1
2
3
4
5
х
2
3
The graph of the linear equation can be seen below.
Which graph represents the given function?
Here we have the linear function:
y = 5x + 3
To graph this, we need to find two points on the equation and then connect them with a line.
By evaluating in 0 we get:
y = 5*0 + 3 = 3
So the point (0, 3) is on the line.
By evaluating on 1 we get:
y = 5*1 + 3 = 8
So we have the point (1, 8).
Now we just plot them and connect them with a line, the graph is the one below.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ5
