Answer:
-4
Step-by-step explanation:
1-6+1=-4
Answer:
The answer is (2, -1, 3)
Step-by-step explanation:
Hope this helped.
A frustum is made by removing a small cone from a similar large cone. Work out the volume of the frustum, below. Give your answer in terms of pie
Answer:
Step-by-step explanation:
volume of cone=1/3 πr²h
volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h
=1/3π(R²H-r²h)
=1/3π(4.5²×9-3²×6)
=1/3π×9×3(4.5×1.5-2)
=9π(6.75-2)
=9π×4.75
=42.75π cm³
The volume of frustum of cone is [tex]42.75\pi[/tex]
What is frustum of cone?Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum. To get this part of the right circular cone we have to slice it horizontally or parallel to the base.
Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]
Where,
R = Radius of the bigger circular end
r = radius of the smaller circular end
H = height of frustum
According to the question
Original height of cone = 9 cm
Radius of the bigger circular end = 4.5 cm
Radius of the smaller circular end = 3 cm
Height of frustum = 3 cm
Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]
= [tex]\frac{\pi 3}{3} [ 4.5^{2} + 3^{2} + 4.5*3][/tex]
= [tex]\pi [ 20.25 + 9 + 13.5][/tex]
= [tex]42.75\pi[/tex]
Hence, The volume of frustum of cone is [tex]42.75\pi[/tex] .
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Triangle ABC has vertices A(4,5), B(8,9), and C(6,7). What are the vertices of triangle A′B′C′ if triangle ABC is translated according to the algebraic description (x, y) → (x + 3, y – 2)?
Answer:
A'(7,3), B'(11,7) and C'(9,5).
Step-by-step explanation:
The vertices of given triangle are A(4,5), B(8,9), and C(6,7).
Given rule of translation is
[tex](x,y)\rightarrow (x+3,y-2)[/tex]
We need to find the vertices of triangle A'B'C'.
Now,
[tex]A(4,5)\rightarrow A'(4+3,5-2)=A'(7,3)[/tex]
[tex]B(8,9)\rightarrow B'(8+3,9-2)=B'(11,7)[/tex]
[tex]C(6,7)\rightarrow C'(6+3,7-2)=C'(9,5)[/tex]
Therefore, the vertices of triangle A'B'C' are A'(7,3), B'(11,7) and C'(9,5).
What similarity property, if any, can be used to show that the following two triangles are similar
A. Not enough information given
B. AA
C. SAS
D. SSS
Please answer this
what is the equation of a line that passes through the points -2 -2 and has a slope of four
Answer:
y = 4x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (- 2, - 2) into the partial equation
- 2 = - 8 + c ⇒ c = - 2 + 8 = 6
y = 4x + 6 ← equation of line
what number is being factored in this factor tree?
Answer:
164
Step-by-step explanation:
82 multiplied by 2
Answer:
164
Step-by-step explanation:
2 *82=164
1. Which region has the highest population?
2. Which region has the lowest population?
3. Which range (in millions of people) on the chart contains
the greatest number of regions; 0-3, 3-6, 6-9, 9-12, 12-15 or 15-18?
4. Which regions contain more than 3 million males?
5. Does any region have significantly more females to males
in it?
6. What is the difference (to the nearest million) between the
biggest populated region and the next biggest populated
region?
all I know is for #2 greenland
which statements correctly describe the association between the variables A and B ? select each correct answer.
The deepest part of the Mariana trench (the deepest trench in the world’s oceans) is at an elevation of -11.033 kilometers. The elevation of the deepest part of the Atacama trench is -8.065 kilometers. What is the net change in elevation from the Atacama trench to the Mariana trench?
Answer:
The answer is -2.968
Step-by-step explanation:
I took the test and got it right unlike the other person who got it wrong for me.
Pls help me it’s emergency
HELP EASY PHYSICS QUESTION URGENT :))
A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally. What is the horizontal distance the ball travels before returning to the ground?
a.15.5 m
b.17.5 m
c.19.5 m
d.21.5 m
Answer:
The horizontal distance the ball travels before returning to the ground is 19.5 m
Step-by-step explanation:
Formula of range of horizontal distance =[tex]\frac{u^2 Sin 2 \theta}{g}[/tex]
Where u is the initial velocity
g is gravity
We are given that A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally.
So, u = 15 m/s
[tex]\theta = 30^{\circ}[/tex]
g = 10
So, the horizontal distance the ball travels before returning to the ground = [tex]\frac{15^2 Sin 2(30^{\circ})}{10}=19.48 \sim 19.5 m[/tex]
Hence The horizontal distance the ball travels before returning to the ground is 19.5 m
Which equation represents the graphed function?
HELP ASAP
Answer:
The answer is A.
Step-by-step explanation:
Since the graph is a downward slope, we want to make the 'x' variable a negative. If we pretend that the graph goes up, then it goes up once, being the denominator, and right three times, before being the numerator. This gives you 3/1, which simplifies to 3. The Y intercept where the graph crosses the Y axis is 0,3, which since 3 is the Y variable, that's what we're going with. Henceforth, A is your answer.
write a reply to this letter informing the immediate steps that would be taken to solve the problem.
complain against improper garbage collection.
I would like to bring into your attention a problem that is faced by the residence of this area .we have noticed that there is no propose schedule of collection of garbage for the past few months .the original schedule day to collect garbage is on every Friday but this seems to miss this day most of times.
because of that we have faced a lot of problems on rainy days there is a bad odour in an around the area and there is a risk of spreading of diseases .
so please be kind enough to look into this matter as soon as possible .
*will give the brainliest!!
CAN YOU PLEASE INBOX ME ??
using soh cah toa find length of WX and round to the nearest tenth of a foot?
Answer:
The length WX is about 14 feet.
Step-by-step explanation:
This problem involves finding the adjacent side to a known acute angle in a right-angle triangle, therefore, the trigonometric function that we use is that of the tangent of the angle:
[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(31^o)=\frac{8.4}{x}\\x=\frac{8.4}{tan(31^o)}\\x=13.9799\\x \approx 14[/tex]
Therefore, the length WX is about 14 feet.
Factor the greatest common factor.
-30k^6 + 9k^5 - 21k^4
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
k
2
and
b
=
1
.
9
(
−
36
k
6
+
k
5
−
k
−
2
)
What is an equation of a circle with center (2, -1) that passes through the point (3, 4)?
Answer:
(x - 2)^2 + (y + 1)^2 = 26
Step-by-step explanation:
A circle with center O(2, -1) that passes through the point A(3, 4).
=> The radius of this circle is OA which could be calculated by:
OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]
The equation of a circle with center O(a, b) and radius r could be written as:
(x - a)^2 + (y - b)^2 = r^2
=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:
(x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2
<=>(x - 2)^2 + (y + 1)^2 = 26
Hope this helps!
Answer:
(x-2)²+(y+1)²=26
Step-by-step explanation:
(x-2)²+(y+1)²=26
distance formula for radius
√(3-2)²+(4--1)² = √26
(x-h)²+(y-k)²=r²
Sara went on a diet and reduced her daily calories from 2,000 to 1,400. By what percent did she reduce her daily calories?
Answer: 30%
Step-by-step explanation:
Difference is (2000 - 1400) = 600
%age reduction 600/2000 x 100 = 30%
How do you convert a decimal into a mixed number 10.5
Answer:
10[tex]\frac{1}2}[/tex]
Step-by-step explanation:
10.5 represents a whole number of 10 and a leftover .5 value.
.5 represents one half
the fraction for one half is 1/2.
leaving you with 10[tex]\frac{1}{2\\}[/tex]
what is the standard equation of the circle in the graph
Answer:
option 1
Step-by-step explanation:
formula:(x-h)^(2)*(y-k)^(2)=r^2
well if you move the circle 3 units left h is (-3), plug it in, you get 3, so it is (x+3)^2*(y-k)^(2)=r^2
if you move the circle 2 units up, plug it in you get (-2), so it is
(x+3)^2*(y-2)^(2)=r^2
now, the radius is 3 (we can see from the graph) so radius ^2 is 9, thus
(x+3)^2*(y-2)^(2)=9
this is the answer, and the option that has it is answer is option 1
Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina’s cycling speed is 10 km/h, how much time longer will Masha need to complete the path?
Answer:
30 minutes
Step-by-step explanation:
Dina took 2 hours to finish the path, since she biked at 10 km/h.
This means Masha was biking at 8 km/h because in 2 hours she only biked 16 km.
To bike 4 more km, it will take her 30 minutes or 0.5 of an hour.
Which slope intercept form equation is equivalent to the standard form equation -x + 2y = -8?
A)y = (1/2)x - 4
B)y = (-1/2)x - 4
C)y = -x - 4
D)y = -2x - 8
E)y = 2x - 8
Answer:
ahhhh is it a
Step-by-step explanation:
Equation is equivalent to the standard form equation -x + 2y = -8 is option A.
What is a linear equation?A linear equation has one or two variables.
No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.explanation:
-x + 2y = -8
= 2y = -8 + x
y = -8/2 + 1/2x
y = -4 +1/2x
solving this we will get the valve of Y if x is given.
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Simplify the radical expression.
- V8n•2 12
The value of the radical expression is A = -3n√12
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = -√8n² ( 12 )
On simplifying , we get
A = -√108n²
Taking the value of n outside , we get
A = -n√108
On further simplification , we get
A = -n3√12
A = -3n√12
Hence , the value of the expression after simplification is A = -3n√12
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The graph below models the height of a remote-control helicopter over 20 seconds during flight.
Time (seconds)
Over which interval does the helicopter have the slowest average rate of change?
1) O to 5 seconds
3) 10 to 15 seconds
2) 5 to 10 seconds
4) 15 to 20 seconds
Answer:
2) 5 to 10
Step-by-step explanation:
The slowest average rate change will occur when, as time progresses, the height of the helicopter changes very little.
Analyzing the intervals:
In the interval from 0 to 5, the height of the helicopter, according to the graph, changes drastically.
In the interval from 5 to 10 the height hardly changes.
In the interval from 10 to 15 the height changes more than in the previous interval (downward).
And in the interval from 15 to 10 something similar the the previous interval happens, but upwards.
thus, the interval that has the smallest average rate of change is 5 to 10 since there is not much change in the height over this interval of time (compared to the other intervals).
PLEASE HELP! ITS DUE TODAY! PLEASEEEE
Answer:
if i'm not mistaken its variation
Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions? –5 –3 3 4
Answer:
-5
Step-by-step explanation:
For a quadratic equation to have two real number solutions, the discriminant must be positive. The discriminant of a quadratic equation is:
[tex]b^2-4ac[/tex]
This means that b^2 must be larger than 4ac. Since in this case 4ac is 4(1)(5)=20, b must be -5 out of the answer choices given. Hope this helps!
Answer:
A. -5
Step-by-step explanation:
Please answer this very simple attachment that will be below use the image below to help your answer!!!
(URGENT)use the vectors to determine two dot products
u = 9 i - 6 j
v = -3 i - 2j
w = 19 i + 15 j
u • v = (9 i - 6 j) • (-3 i - 2j)
Distribute the dot products:
u • v = 9*(-3) (i • i) + 9*(-2) (i • j) + (-6)*(-3) (j • i) + (-6)*(-2) (j • j)
i and j are orthogonal unit vectors, so their dot products are 0, while i • i = j • j = 1. So we have
u • v = 9*(-3) + (-6)*(-2) = -27 + 12 = -15
In other words, the dot product can be computed by simply multiplying corresponding components, and taking the total.
u • w = 9*19 + (-6)*15 = 81
Answer:
A I believe
Step-by-step explanation:
Edge2021
Simplify: (–2x+y)(-58 y)
O 10x10,
10xv2
10xy
10x10 ,
Answer:
Choice C
Step-by-step explanation:
[tex](-2x^2y)(-5x^5y^3)=\\\\(-2)(-5)\times (x^2)(x^5)\times (y)(y^3)=\\\\10x^7y^4[/tex]
Hope this helps!
Answer:
10x7 y 4
Step-by-step explanation:
i just answered it
Identify the vertex of the parabola plssss..!!!!!!
Answer:
the vertex is (4,-1)
whar does it mean that one object has more density than the other object.
pls i need this it is due in not long i put 31 pts for who answers pls.
Events A and B are overlapping.
P(A) = 4/11; P(B) = 3/11, P(A and B) =2/11 .
Find P(A or B).
Answer:
5/11
Step-by-step explanation:
Since the events are overlapping...
P(A or B) = P(A) + P(B) - P(A and B)
P(A) = 4/11
P(B) = 3/11
P(A and B) = 2/11
P(A or B) = 4/11 + 3/11 - 2/11
P(A or B) = 5/11
Answer:
5/11
Step-by-step explanation: