[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r = 2\\ h = 9 \end{cases}\implies V=\cfrac{\pi (2)^2(9)}{3}\implies V=12\pi \implies V\approx 37.7[/tex]
a rectangle has dimensions of 2 inches by 6 inches. If the dimensions are tripled. what is the new perimeter?
Answer:
48.
Step-by-step explanation:
Perimeter is 2l+2w
current perimeter is 16
16x3=48
Which is the equation of the line with a slope 3 and y intercept 5
A( 3x-y= -5
B( 5x-y= -3
C( 3x-5y= 0
D( 5x-3y=0
Solution:
The slope intercept form of equation is given as:
y = mx + c ------ eqn 1
Where,
m is the slope of line
c is the y intercept
From given,
slope = m = 3
y intercept = c = 5
Substitute m = 3 and c = 5 in eqn 1
y = 3x + 5
3x - y = -5
Thus the equation of line is found
What model represents the equation below. Please give me a explanation.
Answer:
b
Step-by-step explanation:
when you have the l-10l it means the distance from 0 and the distance from 0 from -10 is 10
Find the LCD in this problem please!!!
Answer:
the answer is 36xy squared
Kendra has $70 Alonso has 1/10 as much money as Kendra Rico has 10 times as much money as Kendra how much money does Alonso have how much money does Mariko have
Answer: Alonso has $7 and Rico has $700
Step-by-step explanation:
Kendra= 70$
Alsonso= 70 * 0.1 = 7$
Rico= 70 *10 = 700$
please give brainliest!
Answer:Alonso has $7 and Rico has $700
Step-by-step explanation:
Kendra= 70$
Alsonso= 70 * 0.1 = 7$
Rico= 70 *10 = 700$
please give brainliest!
I need help really quick with 1 math problem.
The length of image of AB after the dilation is 18 cm
Solution:
Given data:
Length of AB = 9 cm
Scale factor (k) = 2
Length of image of AB = ?
By the definition of scale factor,
[tex]$k=\frac{\text { Length of Dilated image AB }}{\text { Length of original image } \mathrm{AB}}$[/tex]
[tex]$2=\frac{\text { Length of Dilated image AB }}{9}[/tex]
Do cross multiplication, we get
2 × 9 = Length of dilated image of AB
18 = Length of dilated image of AB
Hence the length of image of AB after the dilation is 18 cm.
Some please help me
There are two ways to solve this problem from the given situation. I'll type out both to help give you a better understanding of this problem.
Method 1: Straightforward, yet complicated
The shaded trapezoid has two base lengths of 25 mm and 50 mm, with a height of 35 mm.
The formula for the area of a trapezoid is the following:
[tex]A=\dfrac{a+b}{2}*h[/tex]
Where a and b are the base lengths and h is the height. Substitute the dimensions of the trapezoid and the formula changes to:
[tex]= \dfrac{25+50}{2}*35[/tex]
Simplifying the equation give us:
[tex]=\dfrac{2625}{2}[/tex]
[tex]=1312.5[/tex]
The trapezoid has an area of 1312.5 mm²
Method 2: Abstract, yet simple
The parallelogram is made up from 2 congruent trapezoids, and one of them is shaded. Thus, we just need to find the area of the parallelogram and divide it by 2 to get the area of a single trapezoid, which will give us the area of the shaded region.
The area formula of a parallelogram is simple, base times height.
The base is 25+50, or 75 mm. The height is 35 mm.
Multiplying these two values gives us 2625 mm². Dividing this by 2 gives us 1312.5 mm². That's the area of a single trapezoid (half the parallelogram), which should also be the area of the shaded region.
This is the same answer we got from method 1.
Conclusion:
The answer is 1312.5 mm²
Both methods give the same answer, which means they each make sure that the other is correct. Let me know if you need any clarifications, thanks!
~ Padoru
You have 10 marbles in a bag: 3 blue, 2 green, 4 yellow, and 1 purple. If you close your eyes and choose a marble at random, what is the simple probability that you will choose a blue marble?
Answer:
3/10
Step-by-step explanation:there are 10 marbles all together three blue ones
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
You have 3 possibilities to get a blue marble out of 10
How many times does six go into 420
Answer:
70
Step-by-step explanation:
Step 1: Divide
420 / 670
70
Answer: 70
What is the Premeter of 4' square
Answer:
16'.
Step-by-step explanation:
A square has 4 equal sides so it is 4 * 4' = 16'.
write the following sentence as an equation: x is directly proportional to y and is inversely proportional to the cube of z.
Step-by-step explanation:
x=y
y=1/z^3
Now,
for equation,
x=y=1/z^3
x is directly proportional to y and is inversely proportional to the cube of z.
Then, x = y = [tex]$\frac{1}{z}^{3[/tex].
What is directly proportional and inversely proportional?If y exists directly proportional to x then,
y/x = k
⟹ y = kx
If y exists inversely proportional to x then,
yx = k
⟹ y = k/x
Let, x is directly proportional to y.
It suggests that when all other phrases which affect x exist kept constant, x changes at a rate that exists a constant multiple of the rate at which y changes.
Let, x ∝ y
⟹ x = ky, x ∝ y
⟹ x = ky
Where k is constant.
when you exist told that x exists directly proportional to y.
x = y
y = [tex]$\frac{1}{z}^{3[/tex]
From the given information, we get
x = y = [tex]$\frac{1}{z}^{3[/tex]
Here, x is directly proportional to y and is inversely proportional to the cube of z.
Therefore, x = y = [tex]$\frac{1}{z}^{3[/tex].
To learn more about directly proportional and inversely proportional
https://brainly.com/question/1266676
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Will y’all help me with num 13
Answer:
19,200 square feet
Step-by-step explanation:
Any help on the top question?
A total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.
Step-by-step explanation:
Step 1:
Assume the number of non-commercial vehicles to be x and the number of commercial vehicles to be y.
It is given that for every 14 non-commercial vehicles there will be 5 commercial vehicles. So a ratio can be formed as follows;
[tex]\frac{x}{14}[/tex] = [tex]\frac{y}{5}[/tex], cross multiplying, we get [tex]5 x=14 y[/tex], take this as equation 1.
Step 2:
It is also given that there were 108 more non-commercial vehicles than commercial vehicles. So
[tex]x=y+108[/tex], take this as equation 2.
If we solve equations 1 and 2, we will get the values of x and y.
Step 3;
Substitute equation 2 in equation 1.
[tex]5(y+108)=14 y[/tex],
[tex]5y+540 = 14y[/tex],
[tex]y = \frac{540}{9} = 60[/tex].
Substitute [tex]y = 60[/tex] in equation 2.
[tex]x=60+108 = 168[/tex].
So x = 168 and y = 60.
So a total of 168 non-commercial vehicles and 60 commercial vehicles use the country's highways during September.
Use the difference of two squares to find the product of 22 and 18. Enter the correct number in each box. ( + )( − ) = ( )2 − ( )2 = 396
Answer:
(20+2) (20-2) = 20² - 2²
20² - 2² = 396
Step-by-step explanation:
from the rule of the difference of two square which states thate
(a + b)(a − b) = a² − b²
therefore, 22 can also be written as (20 + 2),
while 18 can be written as (20 -2)
therefore by the rule of the difference of two square the product of both expression will give
(20+2) (20-2) = 20² - 2² = 400 - 4 = 396
Step-by-step explanation:
= (20 + 2) × (20 - 2)
= 22 × 18
= a^2 - b^2 = 396
= (a + b) × (a - b) = 396
From the above, a = 20 and b = 2.
Therefore,
(20^2) - (2^2) = 396.
Fencing costs $13.55 per foot. Jenny buys 15.25 feet of fencing. How much did Jenny spend for fencing?
If x = 3 units, y = 6 units, and h = 4 units, find the area of the rhombus shown above using decomposition.
Whats the Area?
Answer:
= 12 square units
Step-by-step explanation:
Please look at the photo attached below, I think it is fit with your question
To find the area, substitute the values given in the question into the formula given below.
Area = base • height
= x • h
= 3 units • 4 units
= 12 square units
Answer:
the answer is 24
Step-by-step explanation:
because if you are in study island it says 24
A photographer rented a booth at an art fair for $952. The photographer sold each photograph for $12 and made a total of $1580 after paying for the booth. How many photographs did the photographer sell at the fair?
Answer:
211
Step-by-step explanation:
952 + 1520 then divide by 12
A person is supposed to drink half a gallon of water every day.abby drank 15 small cups today if the capacity of the cup is 3.5 oz how much more water does need to drink today
He needs to drink 3 cups MORE to meet his daily requirement.
Step-by-step explanation:
Here, as given in the question:
The total need for water = half a gallon = 0.5 gallon
1 gallon = 128 oz
So, 0.5 gallon = 128/2 = 64 oz
Now, the capacity of 1 cup = 3.5 oz
The number of cups already drank by the person = 15 cups
So, the total amount of water already taken by him
= 15 cups x Capacity of 1 cup
= 15 x (3.5 oz) = 52.5 oz
So, the amount of water left to be drink by him
= Total Need - Already covered
= 64 oz - 52 . 5 oz = 11.5 oz
Now, as 1 cup = 3.5 oz
So, 11.5 oz has [tex]( \frac{11.5}{3.5} )[/tex]cups = 3.28 cup≈ 3 cups
Hence, he needs to drink 3 cups MORE to meet his daily requirement.
Final answer:
Abby has already consumed 52.5 oz of water by drinking 15 small cups at 3.5 oz each. Since the recommended daily intake is 64 oz, she needs to drink an additional 11.5 oz to meet the daily hydration recommendation.
Explanation:
The question pertains to calculating the amount of water a person needs to drink to meet the recommended daily hydration level. In this case, the student needs to find out how much more water Abby should drink after having consumed 15 cups of 3.5 oz each.
First, we calculate the total amount of water Abby has already consumed -
Multiply the number of cups by the capacity of each cup: 15 cups x 3.5 oz/cup = 52.5 oz.Now, let's convert half a gallon to ounces since that's the recommended amount to drink per day. There are 128 ounces in a gallon, so half a gallon is 64 ounces.To find out how much more water Abby needs to drink, subtract the amount she has already consumed from the recommended total: 64 oz - 52.5 oz = 11.5 oz.Therefore, Abby needs to drink an additional 11.5 ounces of water to meet the daily recommendation of half a gallon.
Sam packed some cookies in a right circular cylindrical can which has a radius of 5 inches and its height is 9 inches. What is the surface area of this can in terms of pi?
A. 90 pi squared
B. 140 pi squared
C. 175 pi squared
D. 196 pi squared
Answer: It's B
Step-by-step explanation: Got 100% on the quiz
What is the lowest common denominator of x+9/2x and 14/x-5?
Step-by-step explanation:
Denominators of both the fractions are 2x and (x - 5)
Therefore,
Lowest common denominator
[tex]= 2x \times (x - 5) \\
= 2 {x}^{2} - 10x[/tex]
Find x and y with only 13.1
Answer:
x= 45
y= 18.5 (3 s.f.)
Step-by-step explanation:
Since the quadrilateral has 4 equal sides, it is a square and hence the 4 angles are right angles.
I have drawn the 2 triangles of the square separately for better understanding.
Please see the attached pictures for full solution.
Vanessa was making baggies of cookies with Six cookies in each bag. If she had twenty-five chocolate cookies and twenty-nine oatmeal cookies, how many baggies could she make?
Which of the following are geometric sequences?
Check all that apply.
The options A, B and C are geometric sequences whereas option D is not.
Step-by-step explanation:
Step 1:
For a series to be a geometric sequence, the numbers in the series must be of a common multiplying ratio. So multiplying a constant value with any number will give the value of the next number.
The multiplying constant can be determined by;
[tex]\frac{2^{nd} term}{1^{st} term} = \frac{3^{rd} term}{2^{nd} term} = \frac{4^{th} term}{3^{rd} term} =[/tex] The common multiplying ratio.
Step 2:
For option A, we determine the multiplying ratio,
[tex]\frac{2^{nd} term}{1^{st} term} = \frac{10}{5} =2,[/tex] [tex]\frac{3^{rd} term}{2^{nd} term} = \frac{20}{10} =2, and[/tex] [tex]\frac{4^{th} term}{3^{rd} term} = \frac{40}{20} =2.[/tex]
Since there is a common multiplying ratio of 2, option A is a geometric series.
Step 3:
For option B, we determine the multiplying ratio,
[tex]\frac{2^{nd} term}{1^{st} term} = \frac{5}{10} =0.5,[/tex] [tex]\frac{3^{rd} term}{2^{nd} term} = \frac{2.5}{5} =0.5, and[/tex] [tex]\frac{4^{th} term}{3^{rd} term} = \frac{2.5}{1.25} =0.5.[/tex]
Since there is a common multiplying ratio of 0.5, option B is also a geometric series.
Step 4:
For option C, we determine the multiplying ratio,
[tex]\frac{2^{nd} term}{1^{st} term} = \frac{3}{1} =3,[/tex] [tex]\frac{3^{rd} term}{2^{nd} term} = \frac{9}{3} =3, and[/tex] [tex]\frac{4^{th} term}{3^{rd} term} = \frac{27}{9} =3.[/tex]
Since there is a common multiplying ratio of 3, option C is a geometric series.
Step 5:
For option D, we determine the multiplying ratio,
[tex]\frac{2^{nd} term}{1^{st} term} = \frac{6}{3} =2,[/tex] [tex]\frac{3^{rd} term}{2^{nd} term} = \frac{9}{6} =1.5, and[/tex] [tex]\frac{4^{th} term}{3^{rd} term} = \frac{12}{9} =1.33.[/tex]
Since there is no common multiplying ratio, option D is not a geometric series.
Answer: C & D
Step-by-step explanation:
2/3 of a 16 ounce bag how much is needed
Answer:
10 2/3
Step-by-step explanation:
Multiply 16 by 2/3
2/3 *16
32/3
Change the improper faction to a mixed number
10 2/3 of an ounce
Answer:
10.666 Ounces
Step-by-step explanation:
16 Ounces ÷ 3 = 5.333 Ounces
5.333 Ounces × 2 = 10.666 Ounces
What is the value of x in the equation 13 x minus 2 (8 + 5 x) = 12 minus 11 x?
Answer:
x = 2
Step-by-step explanation:
Step 1: Convert words into an expression
What is the value of x in the equation 13 x minus 2 (8 + 5 x) = 12 minus 11 x?
13x - 2(8 + 5x) = 12 - 11x
Step 2: Distribute
13x - 2(8 + 5x) = 12 - 11x
13x - 16 - 10x = 12 - 11x
Step 3: Solve for x
13x - 16 - 10x + 11x + 16 = 12 - 11x + 11x + 16
14x / 14 = 28 / 14
x = 2
Answer: x = 2
Answer:
x=2
Step-by-step explanation:
Just took the test
Brownies are $1.58 for a 6-pack
brownies are $3.99 for a 12-pack
which is the better buy per a brownie?
Answer: Brownies that are $1.58 for a 6-pack
Step-by-step explanation:
Well, since 6 times 2 is 12, why don’t you just add $1.58 again, right? So if you do you get $3.16. So Brownies that are $1.58 for a 6-pack are better.
Answer:
6-packStep-by-step explanation:
First you divide 1.58 and 6 to find how much one brownie is.
So that would be roughly $0.26.
Now you divide 3.99 and 12 which is roughly $0.33.
So you now have to see which one has a smaller cost. Which is $0.26. SO it would be the 6-pack.
Another way to figure is out to multiply 0.26 and 12, and 0.33 and 6.
0.33 x 6=1.98
0.26 x 12=3.12
So that makes it more clear that the 6 pack is a better buy!
What is the simplest form of 6 radical 8 plus 8 radical 2
Answer:
20[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplify
[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]
Thus
6[tex]\sqrt{8}[/tex] + 8[tex]\sqrt{2}[/tex]
= 6(2[tex]\sqrt{2}[/tex] ) + 8[tex]\sqrt{2}[/tex]
= 12[tex]\sqrt{2}[/tex] + 8[tex]\sqrt{2}[/tex]
= 20[tex]\sqrt{2}[/tex]
HELPPPPP :Expressions: Multiple choice: picture provided. With questions and answer choices. USA test prep question
Option B:
[tex]$x=\pm 2\frac{1}{2}[/tex]
Solution:
Given expression:
[tex]$3 x^{2}=18 \frac{3}{4}[/tex]
To find the value of x:
[tex]$3 x^{2}=18 \frac{3}{4}[/tex]
Convert mixed fraction into improper fraction.
[tex]$3 x^{2}= \frac{18\times 4+3}{4}[/tex]
[tex]$3 x^{2}= \frac{75}{4}[/tex]
Divide by 3 on both sides of the equation, we get
[tex]$x^{2}= \frac{25}{4}[/tex]
[tex]$ x^{2}= \frac{5^2}{2^2}[/tex]
Taking square root on both side of the equation.
[tex]$\sqrt{ x^{2}}= \sqrt{\frac{5^2}{2^2}}[/tex]
[tex]$ x=\pm \frac{5}{2}[/tex]
Convert improper fraction into mixed fraction.
[tex]$x=\pm 2\frac{1}{2}[/tex]
Hence option B is the correct answer.
If h(x) = -2x+3 and g(x)= n2 -1, what if h(g(4)) ?
A contractor charges $1,200 for 100 square of roofing installed. At this rate,
how much does it cost to have 1,100 square feet installed?
Answer:
$13,200
Step-by-step explanation:
1,100/100 is 11
1200*11=13,200
Answer:
The contractor charges $13,200
For 1,100 square feets
Step-by-step explanation:
To solve the problem we need to understand how to charges
Step one
Given
For each 100 square feet of roofing he charges $1,200
Hence for 1,100 square feet we can see that the charges is 11times
This is because 1100/100= 11
Step two :
Hence he charges 11 times more
Therefore his fee for 1,100 square feet is
1200*11=$13,200