A bowl is in the shape of a hemisphere. The radius of the bowl is 10 centimeters. How many liters of water can the bowl hold?
(1,000 cm = 1 liter)
Answer:
The bowl can hold 2.094 L.
Step-by-step explanation:
We want to find the volume of the hemisphere to calculate how many liters the bowl can hold. To find the volume of a hemisphere, we use this equation:
V = (2/3)•(π)•(r)³
Let's plug in what we know.
V = (2/3)(π)(10)³
Evaluate the exponent.
V = (2/3)(π)(1000)
Multiply.
V = 666.667π
V = 2094.395 cm³
Remember that 1000 cm = 1 liter, and we want to know how many liters the bowl can hold.
= 2094.395/1000
= 2.094 L
The bowl can hold 2.094 L.
Hope this helps!
If a family has four children, determine the probability that exactly two of the
children are girls
Answer:
the porbality is 50%, since if we make a diagram a circle and we split it in two the possibility is 50% since the circle is 100%
Step-by-step explanation:
Which is equal to the cos ÐR?
PLEASE HELP ME
Answer: 4/5 = .8
cos adj/hyp of r is .8
HOWEVER...
I’m assuming it’s talking about angle R...
What is the answer to 4 x n
Answer:
4n
Step-by-step explanation:
you multiply 4 x n= 4n
:')
pls help me forgot how to do this
find the value of x
Answer:
Step-by-step explanation:
oto begin you should know that all triangles contain 180 degrees and that a flat line contains 180 degrees as well. This means that in order to find this answer you should begin by calculating the remianing angle in the traingle. This is done by 180-(95+51) and gives and angle of 34 degrees. Then take 180-(95+35) in order to get x. This gives an x of 51.
Hope this helps!
Answer:
146°
Step-by-step explanation:
1) 180-51-95 = 34 All the angles in a triangle add up to 180.
2) A straight line is 180, so x = 180 - the interior angle.
3) We figured out in step #1 that the interior angle is 34, so all we have to do now is substitute that into step #2
4) x = 180-34 = 146
PLEASE HELP!!! Needed asappp!
Step-by-step explanation:
Add the corresponding sides of the two equations
1.
2x=6
x=3
substitute for x
3+y=-1
y=-4
4.
5x=10
x=2
substitute for x
2(2)+2y=-2
2y=-6
y=-3
5.
12y=24
y=2
substitute for y
6x+5(2)=4
6x+10=4
x=-6
x=-1
Answer:
Q3. x = 3, y = -4
Q4. x = 2, y = -3
Q5. x = -1, y = 2
Step-by-step explanation:
Since the question is asking us to solve the system using elimination/adding, that's what I'll do.
To solve by adding, we add the like terms of both equations together.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1st question:
x + y = -1
x - y = 7
We add the first term together.
x + x = 2x
Then the second term.
y + -y = y - y = 0
Then the last term.
-1 + 7 = 6
Which becomes:
2x = 6
Then we solve the linear equation.
2x = 6
÷ 2 ÷ 2
x = 3
From the x value, we can then find y.
We can use either equation. In this example, I'll choose the first one.
x + y = -1
Substitute x = 3
3 + y = -1
-3 -3
y = -4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2nd question:
2x + 2y = -2
3x - 2y = 12
We add the first term together.
2x + 3x = 5x
Then the second term.
2y + - 2y = 2y - 2y = 0
Then the last term.
-2 + 12 = 10
Which becomes:
5x = 10
Then we solve the linear equation.
5x = 10
÷5 ÷5
x = 2
From the x value, we can then find y.
We can use either equation. In this example, I'll choose the first one.
2x + 2y = -2
Substitute x = 2
4 + 2y = -2
-4 -4
2y = -6
÷2 ÷2
y = -3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3rd question:
6x + 5y = 4
-6x + 7y = 20
We add the first term together.
6x + -6x = 6x - 6x = 0
Then the second term.
5y + 7y = 12y
Then the last term.
4 + 20 = 24
Which becomes:
12y = 24
Then we solve the linear equation.
12y = 24
÷12 ÷12
y = 2
From the x value, we can then find y.
We can use either equation. In this example, I'll choose the first one.
6x + 5y = 4
Substitute y = 2
6x + 10 = 4
-10 -10
6x = -6
÷6 ÷6
x = -1
An item sells for $40. The sales tax on
the item is 8%. What is the sales tax and
total cost?
Answer:
$43.20 total
$3.20 sales tax
Explication:
40*1.08=43.2
Answer:
sales tax = $3.20
total cost = $43.20
Step-by-step explanation:
To calculate the sales tax on an item, multiply the price of the item by the tax percent in decimal form. To convert a percent to decimal form, divide the percent by (100).
Sales tax percent: 8%
In decimal form: 0.08
Multiply the sales tax in decimal form by the price of the item to find out the sales tax amount,
(item_price) * (sales_tax)
= (40) * (0.08)
= 3.2
Sales tax amount: $3.20
To find the total cost of the product, add the sales tax amount to the item price,
(item_price) + (sales_tax_amount)
= 40 + 3.20
= 43.20
Help please, due soon!
Step-by-step explanation:
Volume of Cylinder =
[tex]\pi {r}^{2} h[/tex]
given r = 10 in
h = 30 in
Volume of Cylinder =
[tex]\pi( {10}^{2} )(30) \\ = \pi(100)(30) \\ = 3000\pi \: {in}^{3} \\ = 9424.8 {in}^{3} [/tex]
Please take note in this case choose the answer closest to the answer calculated.
Answer:
9,420 in^3
Step-by-step explanation:
V = π r^2 h
V = 3.14 · 10^2 · 30
V = 3.14 · 100 · 30
V = 3.14 · 3,000
V ≈ 9,420
Suppose a car uses one gallon of gasoline for
every 20 miles traveled.
1) If a gallon of gasoline costs $2.75, how much will the gasoline cost to
travel 300 miles in the car?
A) $22.00
B) $27.50
C) $32.75
D) $41.25
Answer:
the awnser is D) $41.25.
Pls help I'm sleep deprived rn and am almost done with this
Answer:
6π units
Step-by-step explanation:
Given::
Radius = 4
Angle measure of partial circle (θ) = 360° - right angle = 360° - 90° = 270°
Arc length = θ/360 × 2πr
Plug in the values
= 270/360 × 2 × π × 4
= 0.75 × 8 × π
= 6π units
please show an actual answer i need help
Answer:
1. wire is approx. 143.96 ft
2. pole is approx. 106.55 ft
Step-by-step explanation:
Mapping the information on the SOHCAHTOA picture below:
Φ = 46
wire = hypotenuse
adjacent side = 100
CAH is most suitable:
cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96
pole = opposite side + 3
TOA is most suitable:
tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55
pls help me on this !!!
Abcdefghijklmnopqrstuvwxyz
Answer:
50
Step-by-step explanation:
22 + 18 = 40
90 - 40 = 50
no way you can round it
I WILL GIVE BRAINLIEST!!! In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex]
[tex]\angle A = 10[/tex]
[tex]\angle B = 145[/tex]
Required
Similar [tex]\triangle[/tex] to [tex]\triangle ABC[/tex]
The question is incomplete as the other triangles to make comparison from, are not given.
However, general information that could help you are as follows.
The given parameters show that we have to consider AA criterion for selecting similar triangles.
So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.
Take for instance.
[tex]\triangle DE\ F[/tex]
Where
[tex]\angle D = 10[/tex]
[tex]\angle E = 145[/tex]
See that:
[tex]\angle D = 10[/tex] is similar to [tex]\angle A = 10[/tex]
[tex]\angle E = 145[/tex] is similar to [tex]\angle B = 145[/tex]
This means that:
[tex]\triangle DE\ F[/tex] is similar to [tex]\triangle ABC[/tex] by AA
Answer:
The answer is the 10 degrees on and 25 degreees
Step-by-step explanation:
AP EX
x^3=27 what is the value of x?
Answer:
x = 3
Step-by-step explanation:
3*3*3 = 9*3 = 27
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex]x^3 =27[/tex]
Step 1: Take cube root.
[tex]x = (27)^(1/3)[/tex]
[tex]x=3[/tex]
Explanation in words (Short Form)
- Move the variable to the left and the other values to the right to determine the value of x. To ascertain the outcome, simplify the values.
- In this equation (x^3=27), we can solve this equation by taking the cube root and then ascertaining the outcome. The answer will result as x = 3 at the end for the following equation: x^3=27 to finding the value for x.
Answer:
[tex]x=3[/tex]
Hope this helps.
PLEASE HELPPP! I'LL GIVE BRAINLEST
Answer:
hiiio......
Step-by-step explanation:
b)8 boxes...
PLEASE HELP ME WITH THOSE TWO QUESTIONS
1) How many radians are in a quarter of a circle?
2) How many degrees are in 11π over 6?
Answer:
1) about 1.57 radians
2) I'm not sure about this one sorry
n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The experimental group takes a vitamin C tablet daily, while the control group takes a placebo. At the end of the experiment, the researchers calculate the difference between the percentage of subjects in the two groups who were free of colds. This difference is statistically significant (P=0.03) in favor of the vitamin C group.
Answer:
Step-by-step explanation:
The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.
Null hypothesis: Vitamin C has no effect on preventing colds.
Alternative hypothesis: Vitamin C has a strong effect on preventing colds.
Assuming, significance level = 0.05
Since the p-value for the difference is 0.03 which is less than 0.05.
Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).
As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.
The vertex of a parabola is at the origin, and its focus is at . Which function does the graph with these attributes represent?
A.
B.
C.
D.
Answer:
ANSWER
step explanation:
The vertex of the parabola below is at the point (2,4), and the point (3,6) is on the parabola. What is the equation of the parabola? 10 (3,6) (2,4) TO 10 10 A. y= 2(x - 2)2 + 4 B. x = 4(y - 3)2 + 1 C. y= 6(x - 2)2 + 4 D. y = 3(x - 4)2 + 2
Write the equation in standard form. Y - 10= 2(x-8)
Answer:
2x-y=6
Step-by-step explanation:
y-10=2(x-8)
y-10=2x-16
-10+16=2x-y
6=2x-y or
standard form 2x-y=6
I have 48 candys for 50cents each, how much total will I have after I sell all 48 candies?
Answer:
the answer is 2400 cents
Step-by-step explanation:
if you have 48 candies and each cost 50 cents so u meltiply 48 with 50. so if u mutiply them u get 2400cents, but if u want them in dollar then 1 dollar is 100 cent so if 1 dollar = 100 cent
? = 2400 cent
you criss -cross them so when u do 2400 multiplyed by 1 is 2400 and 100 multiplyed by ? is 100?
so your going to get this
2400 = 100?
so u divide both sides by 100 because u want "?" alone. so when u do 100 will vanish because you divided both sides with 100
so it will look something like this
2400/100 = ?
when u divide 2400 with 100 u get 24.
what does that mean? it mean 2400 cents are 24 dollars
do you get it?
write the sum 3+3+3+3+3+3 using sigma notation
Answer:
18
Step-by-step explanation:
The sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .
What is sigma notation?A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.
According to the question
The sum 3+3+3+3+3+3
Represent the sum as sigma notation
[tex]\sum_{i=1}^{6}3[/tex] start at 1 and goes up to 6
= 3+3+3+3+3+3
Hence, the sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .
To know more about sigma notation here:
https://brainly.com/question/16701078
#SPJ3
Please only answer if you're 100% sure it's correct. Thank you. (It's pretty easy.)
Work out the answer when,
'the largest prime number that is a factor of 35'
is multiplied by
'the smallest prime number that is a factor of 12'.
[2]
Answer:14
Step-by-step explanation:
The largest Prime factor of 35 is 7 (factors of 35 are 1,5,7,35)
the smallest prime factor of 12 is 2 (factors of 12 are 1,2,3,4,6,12)- and 1 is not Prime
7*2=14
Giving brainliest!!!!!!
Answer:
Answer should be 6, I think
A swimming pool is to be drained. The pool is shaped like a rectangular prism with length 30 ft, width 18 ft, and depth 4 ft. Suppose water is pumped out of the
pool at a rate of 216 ft per hour. If the pool starts completely full, how many hours does it take to empty the pool?
hours ( NO LINKS , LINK WILL GET YOU BANNED )
Answer:
10 hours (I am not positive)
Step-by-step explanation:
We first want to find the volume of pool which is 30 x 18 x 4 = 2160.
Then you are going to divide by 216 to find how many hours it takes to drain the whole pool. (I'm not that big of an expert)
Find the radius of a circle with an area of 1,124 sq feet.
3) Lynn helped you prepare 35 sets of injections of dopamine for the clinic this week. Each injection is 50mL. How many liters of dopamine did the clinic use this week?
Answer:
1.75 liters
Step-by-step explanation:
Multiply 50ml per set by 35 sets to get 1750ml. If 1000 ml is 1 liter, then 1750 ml is 1.75 liters. :)
Brainliest for correct answer asap
Answer:
its the first one. Times the bigger numbers and add the indices. so it 16^7
Answer: A 16(7)
Step-by-step explanation:
First you multiply your base numbers,[4x4] to get 16 then you add your exponents [2+5] to get 7 and remember you can only add exponents not multiply them.
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year, how much will it be worth in 2020?
A) $10,562.50
B) $1718.33
C) $6732.90
D) $5385.10
Answer:
D) $5385.10
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the decay of an amount after t years is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year
This means that [tex]A(0) = 12500, r = 0.155[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 12500(1-0.155)^t[/tex]
[tex]A(t) = 12500(0.845)^t[/tex]
How much will it be worth in 2020?
2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So
[tex]A(5) = 12500(0.845)^5 = 5385.10[/tex]
The correct answer is given by option D.
Find the common ratio of the geometric sequence 6 , 24 , 96 , . . .
Answer:
4
Step-by-step explanation:
6 * 4 = 24
24 * 4 = 96