4. (03.06 MC)
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 5 inches. The height of the cone is 15 inches.
Use n = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them
Step-by-step explanation:
Volume of a cylinder is:
V = πr²h
V = (3.14) (4 in)² (5 in)
V = 251.2 in³
Volume of a cone is:
V = ⅓ πr²h
V = ⅓ (3.14) (4 in)² (15 in)
V = 251.2 in³
The volumes are equal.
Which ordered pairs do not belong to a linear function in the form below?
y = kx + b
A. (-1, -1); (0, -1)
B. (-1, -1); (-1, 1)
C. (1, 1); (0, -1)
D. (1, 1); (-1, -1)
Answer:
its D
Step-by-step explanation:
D!!!
Answer:
D
Step-by-step explanation:
7) Select the best method to solve the system.
3x+y=7
2x=3y-4
*elimination
*substitution
Answer:
substitution
Step-by-step explanation:
I would choose substitution because the first equation can easily be set in terms of y, then substituted into the second equation, while to eliminate you would have to multiply on of the equations by a number and make it negative in order to eliminate.
The scale drawing of a rectangular city park measures 10.0 cm(width) by 5.0 cm(length). The scale of the drawing is 1.0 cm = 4.5 meters. What is the actual length of the park?
Answer:
given us,
width= 10.0
length= 5.0
here,
w×d= 10.0× 5.0
= 50
now
cm/ m
=1.0/ 4.5
= 2.22
w×d x cm.m× 100
50/ 2.22× 100
2252.25
Step-by-step explanation:
we have to solve and multiply
4)
- 10x – 5x = 45
Solve the equation
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{-10x-5x=45}[/tex]
[tex]\textsf{Combine your like terms: \mathsf{(-10x -5x)}}[/tex]
[tex]\mathsf{(-10x - 5x) = -15x}[/tex]
[tex]\mathsf{New\ equation: -15x=45}[/tex]
[tex]\mathsf{\bf{DIVIDE}\ \mathsf{\ both\ sides\ by\ -15}}[/tex]
[tex]\mathsf{\dfrac{-15x}{-15}=\dfrac{45}{15}}[/tex]
[tex]\mathsf{\bf{Cancel\ out:}}\mathsf{\ \dfrac{-15}{-15}\ because\ that\ gives\ you\ }[/tex]
[tex]\mathsf{\bf{Keep:}\mathsf{\dfrac{45}{-15}\ because\ that\ solves\ for\ x}}[/tex]
[tex]\mathsf{New\ equation: x = \dfrac{45}{-15}}\\\\\mathsf{x = 45\div-15\rightarrow \underline{\bf{-3}}}[/tex]
[tex]\huge\text{Thus, x = -3}\checkmark[/tex]
[tex]\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\boxed{\text{\huge{\bf{x = -3}}}}}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
I am having problem in these:-
1)There are two cylinders - cylinder A and cylinder B. Both the cylinders have equal volume,
Cylinder A has a nadius of 3 m and height 7 m. Cylinder B has a height of 21 m. Calculate the radius of Cylinder B, in
om (Take =22/7)
2)A rectangular tank has dimension 12 cm by 18 cm by 20cm. There is a solid cylindrical tube in the tank that has a
volume of 320 cm"3. How much water can the tank hold?
Answer:
1) The cone's volume is 1/3 the volume of the cylinder with the same base.
Step-by-step explanation:
i dont know number 2 even though this is 5th grade math lol
what is this plug's brand?
Answer:
ce smart home
Step-by-step explanation:
it says it righ tthere
Answer:
the brand?? it says it right there if I'm not wrong lol "ce smart home"
Write an equation in slope-intercept form of the line that passes through the points ( 0, 1 ), ( 4, 2 )
Slope-Intercept Form - Y = Mx + b
Y = 1/4x + 1
Solve for x. It’s in the picture
Answer:
c,x=12
Step-by-step explanation:
5/6x+4=x+2
2=1/6x
x=12
Aneil wants to plant tomato plants and lettuce plants in a 60-square-foot garden. The tomato plants take up 2 square feet, and the lettuce plants take up 3 square feet. The equation 2x + 3y = 60 describes the number of tomato plants, x, and lettuce plants, y, that Aneil can plant in the garden. Graph this function and find the intercepts. What does each intercept represent?
Step-by-step explanation:
The more regular way of presenting such a graph is y = -2/3 x + 20
(Put the x on the right and made sure that the y has a coefficient of 1.)
Coefficient means the number in front of the letter (in this case).
x intercept = 30
(30,0)
y intercept = 20
(0,20)
The intercepts mean
The y intercept means the whole garden contains nothing but lettuce. (20)
The x intercept means the whole garden contains nothing but tomatoes.(30)
Evaluate and simplify the following complex fraction.
Answer:
-10/7
Step-by-step explanation:
(-5/7)/(2/4) = (-5/7)/(1/2) = (-5/7)*(2/1) = -10/7
In Triangle ABC, ∠A + ∠B = 65° and ∠B + ∠C = 140°.Find the value of ∠B and ∠C.
Can anybody pls give the answer fast...
A + B = 65...Equation 1
B + C = 140...Equation 2
Solve Equation B for C.
C = 140 - B
The sum of the angles in a triangle is 180 degrees.
We know that A + B = 65.
65 + C = 180
We know that C = 140 - B.
65 + 140 - B = 180
205 - B = 180
-B = 180 - 205
-B = -25
B = -25/-1
B = 25
Plug B = 25 into B + C = 140 to find angle C.
25 + C = 140
C = 140 - 25
C = 115
Angle B = 25°.
Angle C = 115°.
Understand?
50 - 4 > 12 OR 12x +5< -4
Answer:
Step-by-step explanation:
5x - 4 > 12
5x > 12 + 4
5x > 16
x > 16/5
12x + 5 < -4
12x < - 4 - 5
12x < - 9
x < - 9/12
x < - 3/4
Option A is the correct answer
A compound inequality is graphed, and its graph consists of all real numbers. Which open sentence could have resulted in this solution set?
Group of answer choices
r > 3 or r > –2
r > 3 or r –2
r < 3 or r < –2
Answer:
r>3 or r >-2
Step-by-step explanation:
The volume of a cylinder = ar2h. Use 3.14 for A. What is the volume of this cylinder? You may use the calculator tool in the menu.
Answer:
{Height and radius not given}
help me I don’t wanna fail mann
Answer:
x=6
∠TSU=12x=12(6)=72
Step-by-step explanation:
∠TUS+∠STU+∠TSU=180
∠TUS+12x+81=180
∠TUS=99-12x
∠TUS+∠TUV=180
99-12x+24x+9=180
108+12x=180
12x=72
x=6
∠TSU=12x=12(6)=72
There you go. Try and use these solutions to solve others for yourself. You got it.
Answer:
x = 6°∠TSU = 72°Step-by-step explanation:
Angle TUV is exterior angle to triangle TUS. Exterior angle measure is equal to sum of non-adjacent interior angles:
∠TUV = ∠STU + ∠TSU24x + 9 = 81 + 12xSolving for x
24x - 12x = 81 - 912x = 72x = 72/12x = 6°Finding angle measure of ∠TSU
∠TSU = 12*6° = 72°The zeros of a quadratic function are 1 and 7. To which factored quadratic expression is this function related?
The factored quadratic expression is this function related is to be considered as the (x - 1) and (x-7).
Calculation of the factored quadratic expression:Since The zeros of a quadratic function are 1 and 7.
So,
if we do
(x - 1) = 0
x = 1
And,
(x- 7) = 0
x = 7
Based on this, we can say that The factored quadratic expression is this function related is to be considered as the (x - 1) and (x-7).
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What property would you use to solve m+6=−4?
Answer:
m = -10
General Formulas and Concepts:
Order of Operations: BPEMDAS
Properties
Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define equation
m + 6 = -4
Step 2: Solve for m
Subtract 6 on both sides: m = -10Step 3: Check
Plug in m to verify it's a solution.
Substitute: -10 + 6 = -4Add: -4 = -4need rn! worth 30
What is the value of T(−4) when T(x)=−x−2?
Answer:
Step-by-step explanation:
A lines slope is 6 and it's y-intercept is 5 what is the equation in slope-intercept form
Answer:
y=6x+5
Step-by-step explanation:
Follow these steps to construct a triangle to represent the given information:
Draw a ray in the direction S 20° E from point P. Create a circle with radius 43.5. (Note that you'll be scaling down all the distances in miles by a factor of 10: 435 ÷ 10 = 43.5.) Label the point where the circle intersects the ray as C (Cali).
Draw a ray in the direction S 81° E from P. Mark an arbitrary point on this ray, and label it S.
Create a line through point S that is parallel to the north-south line through P.
Using the line passing through point S, draw a ray that is S 53° W.
Move point S along line PS until the ray S 53° W from S passes through point C. This position of S locates San Cristobal.
Paste a screenshot of your construction in the space below.
Answer:
i have to write something here so reading this is a waste of time.
A triangle can be constructed by different means such as:
A, B, C - angles or vertices.a, b, c - sides opposite to A,B,C, respectively, or their lengths.ha, hb, hc - altitudes (or sometimes heights) to the sides a,b,c.What is a Triangle?This refers to the plane figure that has three sides and angles.
Hence, we can see that in order to construct a triangle, they can be done by different means and the construction cannot be done for you, but the other means can include:
ma, mb, mc - medians to the sides a,b,c.la, lb, lc - bisectors of the angles A, B, C.Read more about triangles here:
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factorise 12d²-19d+5
Answer:
4d99982726629161619172928227
Step-by-step explanation:
di ko alam Ang sagot
can yall help me lol I have to finish this
Answer:
21/10 mph
Step-by-step explanation:
When you divide a fraction with another fraction, the number after the division sign gets flipped (meaning that the numerator and denominator switch so 1/2 would be 2/1)
So using that we can solve this:
7/5 / 2/3
7/5 * 3/2
21/10 miles per hour
Please help me solve this?
Answer:
12[tex]x^{4}[/tex]y[tex]z^{7}[/tex]√3x
Step-by-step explanation:
2√108[tex]x^{9}[/tex]y²[tex]z^{14}[/tex]
so you will need two of something to take one out from under the squareroot
we can rewrite [tex]z^{14} = z^{7} *z^{7}[/tex] so we can take a [tex]z^{7}[/tex] out
we can rewrite y² as y*y so we can take a y out
we can rewrite [tex]x^{9}[/tex] as [tex]x^{4} *x^{4} *x[/tex] so we can take a [tex]x^{4}[/tex]out
for 108 think what is the smallest prime number that divides 108 and is 2
108= 2*54
same algorithm, smallest prime number that divides 54 is 2 so
108=2*2*27
same algorithm, smallest prime number that divides 27 is 3 so
108=2*2*3*9
we know 9 is 3*3 so
108=2*2*3*3*3 we can take out one 2 and one 3
put them all toghether now
2*2*3*[tex]x^{4}[/tex]*y*[tex]z^{7}[/tex]√3x = 12[tex]x^{4}[/tex]y[tex]z^{7}[/tex]√3x
Write an equation of the line with a slope of 3/4 and a y-intercept of -2.
Answer:
y = 3/4x - 2
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 3/4
y-intercept b = -2
Step 2: Write linear equation
y = 3/4x - 2
A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?
f(1) = 4; f(n) = 4 ⋅ d(n − 1), n > 0
f(1) = 4; f(n) = 4 ⋅ d(n + 1), n > 0
f(1) = 4; f(n) = 4 + d(n + 1), n > 0
f(1) = 4; f(n) = 4 + d(n − 1), n > 0
Answer:
f(1) = 4; f(n) = 4 + d(n - 1), n > 0.
Step-by-step explanation:
This arithmetic sequence has a common difference of d with first term = 4.
f(1) = 4; f(n) = 4 + d(n - 1), n > 0.
Answer:
D)
Step-by-step explanation:
I took the test.
Max is a professional table organizer. For today’s event, he brought square tables. A single square table can seat 4 people, one at each side, as in the first picture below. If Max joins 2 tables along a side, as in the picture, he can seat 6 people. How many people can Max seat with even more tables?
Answer:
The function would be 2(t)+2 where t is the number of tables. So, the answer in a form of a table would look like this:
Tables People
1 4
2 6
3 8
4 10
5 12
Step-by-step explanation:
Khan Academy
ASAP 20 points -0.45x + 0.33 = -0.66 whats x
Answer:
x=2.2
Step-by-step explanation:
calc
Sasha has $55 to spend on clothes. She wants to buy a pair of jeans for $27 and spend the rest on t-shirts. Each t-shirt costs $7. Which inequality represents the number of t-shirts she can purchase? (1 point)
Answer:
well let's start by taking 27 away from 55 to get 28 so we now have $28 to spend on shirts next divided 28 from 7 and you will get your answer
Step-by-step explanation:
step one- 55-27
step two 28÷7
evaluate the expression 2b3 + 5 when b = 3.
Answer:
Its 3
Step-by-step explanation:
Its Really easy ngl. if b = 3 and there is a 2 and u are supposed to replace the b its 3
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of 2b³ + 5 at b = 3 is 59.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
2b³ + 5 _____(1)
We will find the value of the expression 2b³ + 5 at b = 3.
Substitute b =3 in (1).
= 2b³ + 5
= 2 x 3³ + 5
= 2 x 3 x 3 x 3 + 5
= 2 x 27 + 5
= 54 + 5
= 59
Thus,
The value of 2b³ + 5 at b = 3 is 59.
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