Answer:
Section A
Volume of the cylindrical tool = 1413.72cm³
Section B
1) Curved Surface Area of the right circular cone = 251.33cm²
2) Volume of the right circular cone = 402.12cm³
Step-by-step explanation:
Section A
We are asked to find the volume of the cylindrical moulding tool.
Volume of a cylinder = πr²h
From the question, the cylindrical tool had a diameter of 10cm. This means the radius of the tool = Diameter ÷ 2 = 10cm ÷ 2 = 5cm
The height of the cylindrical tool = 18cm
Volume of the cylindrical tool = π × (5cm)² × 18cm
1413.7166941cm³
Approximately = 1413.72cm³
Section B
The height of a right circular cone is 6cm and its radius is 8cm.
1) Calculate its curved surface area.
The formula for the curved surface area of a right circular cone =
πrl
r = radius = 8cm
h = height = 6cm
l = √(r² +h²) = √(8² + 6²) = √100
l = 10cm
The curved surface area = πrl
= π × 8cm × 10cm
= 251.33cm²
2) Calculate the volume of the cone.
The formula for the volume of a cone=
1/3πr²h
radius (r) = 8cm
height (h) = 6cm
1/3πr²h
1/3 × π × 8² × 6
= 402.12cm³
4. Nine fruit juice bottles contain 4 1/2 litres of fruit juice between them.
How much juice do five bottles hold?
[tex]4 \frac{1}{2} litres[/tex]
Answer:
2[tex]\frac{1}{2}[/tex] litres or 2.5 litres
Step-by-step explanation:
From the question, 9 fruit juice bottles contain 4[tex]\frac{1}{2}[/tex] litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4[tex]\frac{1}{2}[/tex] litres and you divide the product by 9.
i.e. Let the quantity of the fruit juice for 5 bottles be x.
9 juice bottles ===> 4[tex]\frac{1}{2}[/tex] litres
5 juice bottles ===> x
∴x = [tex]\frac{5 * 4\frac{1}{2} }{9} litres[/tex]
x = [tex]\frac{5 * 4.5}{9} litres[/tex]
x = [tex]\frac{22.5}{9} litres[/tex]
x = 2.5 litres or 2[tex]\frac{1}{2}[/tex] litres
Hope this helps!!!
Can someone help me this question?
Answer:
The answer is B.
Step-by-step explanation:
Answer:
Answer is B because it makes the most sense and AL ot of other people said it's B
What is the slope of the line whose equation is
y = - 3x + 6?
A. -1/2
B. 2
C. -3
D. 6
Answer:
-3
Step-by-step explanation:
Because it is multiplied by x
Answer:
C. -3
Step-by-step explanation:
The equation of the line is in point slope form.
y=mx+b
where m is the slope and b is the y-intercept.
The number that is multiplied by x is the slope. The number that is added or subtracted from x is the y-intercept.
We have the equation:
y=-3x+6
-3 is being multiplied by x (-3*x=-3x). 6 is being added on to -3x.
Therefore, the slope is -3 and the y-intercept is 6.
Since -3 is the slope, C is the correct answers.
Point AAA is at {(-3, 4)}(−3,4)left parenthesis, minus, 3, comma, 4, right parenthesis and point CCC is at {(2,-6)}(2,−6)left parenthesis, 2, comma, minus, 6, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC started overline, A, C, end overline such that the ratio of ABABA, B to ACACA, C is 4:54:54, colon, 5.
Answer:
The coordinates of point B = (1, -4)
Step-by-step explanation:
Complete Question
Point A is at (−3,4) and point C is at (2,−6). Find the coordinates of point B on line AC such that the ratio of AB to AC is 4:5.
Solution
Point B divides line AC into two parts
A = (-3, 4)
C = (2, -6)
AB:AC = 4:5
If (AB/AC) = (4/5)
5AB = 4AC
But AC = AB + BC
5AB = 4(AB + BC)
5AB = 4AB + 4BC
5AB - 4AB = 4BC
AB = 4BC
(AB/BC) = (4/1)
AB:BC = 4:1
Hence, point B divides line AC internally into two parts with ratio 4:1
Mathematically, if a point P(x, y) divides the coordinates (x₁, y₁) and (x₂, y₂) internally in the ratio m:n then point P(x, y) is given as
x = [(mx₂ + mx₁)/(m + n)]
y = [(my₂ + my₁)/(m + n)]
For this question,
x₂ = 2
x₁ = -3
y₂ = -6
y₁ = 4
m = 4
n = 1
Point B is then described with coordinates
x = [(4×2 + 1×-3)/(4+1)] = (5/5) = 1
y = [(4×-6 + 1×4)/(4+1)] = (-20/5) = -4
Hence, the coordinates of point B is given as
(x, y) = (1, -4)
Hope this Helps!!!
Answer:
(-3,-3)
Step-by-step explanation:
above.
*I WILL MARK YOU BRAINLIEST!!!!!*
-3
Explanation:
Rate of change in the interval
X=0 to X=3 is given by,
[tex]r = \frac{f(3) - f(0)}{3 - 0} \\ here \\ f(3) = 1 \\ f(0) = 10 \\ r = \frac{1 - 10}{3} \\ \: \: \: = \frac{ - 9}{ 3} \\ \: \: \: \: = - 3 \\ hope \: it \: helps.....[/tex]
The slope-intercept form of the equation of a line that passes through point (–3, 8) is y=-2/3 x+6.What is the point-slope form of the equation for this line?
Answer:
Step-by-step explanation:
y - 8 = -2/3(x + 3)
y - 8 = -2/3x - 2
y = -2/3x + 6
Are theses exaponents correct!??? 20 points
Answer:
YES
Step-by-step explanation:
YESSSSSSSSSSSSSSSSS IS THE ANSWER i think :))
Answer:yes they are all correct
Step-by-step explanation:
Put in a calculator 2^0=1
And 2^1=2
Remember the exponents tell you how many times you multiply the base number to itself
Hope that helps
What additional piece of information must be known in order to calculate the volume of the cylinder below?
A cylinder with radius of 7 inches.
the diameter of a base
the height of the cylinder
the area of a base
the radius of a base
Answer:
height of the cylinder
Step-by-step explanation:
PLEASE HELP!! In Moose, Wyoming, the snow level is modeled by the function y = 2x + 14. Here, y is the amount of snow in inches, and x is the number of hours after midnight (x = 0). 8. What is the meaning of the y-intercept in terms of the problem? 9. What is the meaning of the slope in terms of the problem? 10. What was the snow level at 8 a.m., when x = 8?
Answer:
8. The y-intercept represents the 14 inches of snow 0 hours after midnight.
9. The slope indicates that the snow level increases 2 inches for every hour that passes after midnight.
10. 30 inches
Step-by-step explanation:
8. given in the text
9. given in the text
10.
[tex]y=2x+14[/tex]
[tex]y=2(8)+14[/tex]
[tex]y=30[/tex]
what is the slope of the line shown below (4,8) (2,2)
Answer:
slope = 3
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
= (8-2)(4-2)
= 6/2
= 3
Answer:
If those are 2 points on the line, then the slope is 3.
Step-by-step explanation:
slope is rise over run. (8-2)/(4-2) = 6/2 = 3
Use the identity (x^2+y^2)^2=(x^2−y^2)^2+(2xy)^2 to determine the sum of the squares of two numbers if the difference of the squares of the numbers is 5 and the product of the numbers is 6.
Answer:
Step-by-step explanation:
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2
Adding and substracting 2x^2y^2
We get
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2
And we know a^2-2ab+b^2=(a-b)^2
So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2
Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2
And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2
What’s the answer to this?
Answer:
256
Step-by-step explanation:
First..
8*2=16
Now
16 (squared)=256
Answer:
The answer is 32
Step-by-step explanation:
8 x 2 is 16
16 is 2 is 32
pls give me brainliest, I show work
I need help ASAP I shall give brainlyist (idk how to spell) figure out how much A cand hold and how much B can hold
Answer:
A) 84.78
B) 42.39
Step-by-step explanation:
A)
[tex]\pi r^2 h= \\\\3.14 \cdot 3^2 \cdot 3= \\\\84.78[/tex]
B)
[tex]\pi r^2 h= \\\\3.14 \cdot 1.5^2 \cdot 6=\\\\42.39[/tex]
Hope this helps!
After first entering the ocean, a scuba diver descends to a depth 18 feet below the surface of the water. The diver then ascends 7 feet before descending 18 feet again. What is the final depth of the diver below the surface of the water?
Answer:
The diver is 29 ft below the water surface
Step-by-step explanation:
Here, we are interested in calculating the diver’s final depth before the surface of the water.
Firstly he descends 18 feet before ascending 7 feet. His depth would thus be;
18ft -7ft = 11 ft initially
It is at this point he descended a further 18 feet which makes his total feet of descent = 11 ft + 18 ft = 29 ft
This means he is 29 ft below the surface of the water
Answer:
-29
Step-by-step explanation:
The diver is 29 ft below the water surface
Factor the trinomial by grouping.
- 13x + 6 + 6x^2
Answer:
(2x-3)(3x-2)
Step-by-step explanation:
[tex]-13x+6+6x^2= \\\\6x^2-13x+6= \\\\6x^2-4x-9x+6= \\\\2x(3x-2)-3(3x-2)= \\\\(2x-3)(3x-2)[/tex]
Hope this helps!
Work out the value of 5² - 19 x 24
Answer:
5² - 19 * 24
= 25 - 456
= -431
Answer:
-431
Step-by-step explanation:
25-19x24
25-456
-431
what is her answer ?
Answer:
4
lolz sorry for a late answer bud
Step-by-step explanation:
Topic: Probability
Only complete question 13.
Answer:
see below
Step-by-step explanation:
Assuming the comma means and
a) P(A , E) = P(A) * P(E) = .1 * .5 = .05
b) P( A, L, E) = P(A) * P(L) *P(E) = .1 *.4* .5 = .002
C This means that it snows in Abbostford, Lehtbridge and Estevan today is .002 or .2%
if f(x)=6x^2-4 and g(x)=2x+2 find (f-g)(x)
Answer: [tex](f-g)(x)=6x^2-2x-6[/tex]
Step-by-step explanation:
[tex]f(x)=6x^2-4\\g(x)=2x+2\\(f-g)(x)=[/tex]
Take each function and subtract them.
[tex](f-g)(x)=(6x^2-4)-(2x+2)[/tex]
The trick here is that the negative sign changes all of the signs inside the parentheses.
[tex](f-g)(x)=6x^2-4-2x-2[/tex]
Combine like terms;
[tex](f-g)(x)=6x^2-2x-6[/tex]
What is the length of HG? What is the length of HI?
Answer:
HI = 3 and HG = 3
Step-by-step explanation:
As you see from the bottom line, the length of the HIJ line = 9. 9 - 6 (6 is the length of the IJ line) = 3, so 3 is the length of the HI line. On the second picture, 11-8=3, so HJ = 3.
Edit: Whoops, i didn't see the second picture.
What two whole, positive numbers that have a one-digit answer when multiplied and a two-digit answer when added?
Answer:
1 & 9
Step-by-step explanation:
I believe that the numbers 1 and 9 fit the statement- as they would be 1 x 9= 9 and 1 + 9=10.
Hope this helped!! Please mark as Brainliest and/or give a rating !! Thank You :)
What is the average rate of change from x = 0 to x = −2?
How I got that answer:
The graph shows the two points (0,-4) and (-2,2) are on the parabola. The x coordinates of both points are from x = 0 and x = -2 as given in the instructions. Compute the slope of the line through those points. The slope of this line is the exact same as the average rate of change from x = -2 to x = 0.
m = (y2 - y1)/(x2 - x1)
m = (2 - (-4))/(-2-0)
m = (2 + 4)/(-2-0)
m = 6/(-2)
m = -3
A negative slope means the line slopes downhill as you move from left to right. This is a negative average rate of change.
Juliet baked 30 brownies for a party.she gave 6 brownies to a friend. What percent of the brownies did juliet give het friend
Answer:
20%
Step-by-step explanation:
6/30 = blank/100
cross multiply
6 x 100
600/30 =20
Solve for x.
8(x + 1) - 31x + 4) = 7(2 - x)
Answer: -8.5625
Step-by-step explanation:
Use the distributive property.... ex: 8(x+1)= 8x+1 (by multiplying both by 8)
8x+1-31x-124=14-7x
Combine like variables
-23x-123=14-7x
Bring like variables to the same side of the equation by changing the sign(+,-)
-16x=137
Divide -16 by both sides
x=-8.5625
Mr. Johnson has a garden in the shape of a kite with a length of 5 feet and a width of 4 feet. A bag of topsoil covers 10 square feet.
The area of each triangle is 5 ft²
The area of the garden is 10 ft²
The number of bags of topsoil needed is 1 bag
Hope this helps
-Carrie
Please mark brainliest
Stay safe
The area of each triangle is 5² ft
The area of the garden is 10 ft2.
The number of bags of topsoil needed is 1 .
Using the following image, solve for UW
answer:15x
Step-by-step explanation:
because 2x +3 is 5x 5x+10 is 15x
How many points does a plane have that is on the same line
Need Answer ASAP will give branliest to the first right answer
The two-way table shows the number of students in a school who have rabbits and/or dogs as pets.
Have Rabbits
Do Not Have Rabbits
Total
Have Dogs
22
18
40
Do Not Have Dogs
23
27
50
Total
45
45
90
How many more students have rabbits than dogs?
1
4
5
10
Translate this sentence into an equation.
The product of Victor's age 7 and is 84 .
Use the variable v to represent Victor's age.
Answer:
The product of Victor's age and 7 is 84 in equation form is 7v=84
Step-by-step explanation:
Let v be the Victor's age.
We are supposed to Translate this sentence into an equation
The product of Victor's age and 7 is 84
Victor's age = v
Product of victor's age and 7 =[tex]7 \times v[/tex]
We are given that their product is 84
So,[tex]7 \times v =84[/tex]
Hence The product of Victor's age and 7 is 84 in equation form is 7v=84
What is the least common multiple of 4 and 12?
4
12
24
48
Answer: 12
Step-by-step explanation: To find the least common multiple or lcm of 4 and 12, begin by listing the first few multiples of each number.
Multiples of 6
1 × 6 = 6
2 × 6 = 12
3 × 6 = 18
Notice that we skipped 0 × 6 in our list of multiples.
That's because 0 × 6 is 0 and our least common multiple can't be 0.
When listing the multiples of 12, it's a good idea to keep an eye on the list of multiples for 4 so that we will notice when we find a least common multiple.
Multiples of 12
1 × 12 = 12
Notice that 12 is also a multiple of 6 so our least common multiple is 12.
We can stop here because all other multiples
that we find will be greater than 12.
So the least common multiple or LCM of 4 and 12 is 12.
Answer:
The LCM is 12
3 times 4 = 12 :)