Answer:
Step-by-step explanation:
Radius r = 15
Circumference = 2πr = 30π cm
Circumference of cone = arc length of sector
= 30π × 216°/360°
= 18π cm
Radius of base of cone = 18π/(2π) = 9 cm
Slant height of cone = radius of circle = 15 cm
Height of cone = √(15² - 9²) = 12 cm
Describe fully the transformation that maps triangle a onto triangle B
Answer:
The transformation that maps Triangle A onto Triangle B is a reflection of Triangle A across the axis "y=-1".
Step-by-step explanation:
The transformation that maps triangle A to triangle B is a reflection over the line y = -1.
Given are two triangles A, we need to determine the transformation performed to get the image of triangle A, i.e., triangle B.
The coordinates of the triangle A are:
(1, -5), (1, -2) and (3, -2)
The coordinates of the triangle B are:
(1, 3), (1, 0) and (3, 0)
By comparing the corresponding vertices, we can observe that the x-coordinates remain the same while the y-coordinates change.
The transformation that maps triangle A to triangle B is a reflection over the line y = -1.
This reflection flips the triangle across the line, resulting in the change of sign for the y-coordinates while leaving the x-coordinates unchanged.
Hence the transformation performed to obtain triangle B from triangle A is a reflection over the line y = -1.
Learn more about Reflection click;
https://brainly.com/question/15487308
#SPJ4
if each square is 2cm long then the perimeter is
Answer:
for each square the perimeter would be length times width. so 2x2 =4
Now if there are multiple squares then the answer would be different. but 4 is the answer for the individual square.
Given y = f(u) and u=g(x), find =f(g(x))g'(x) for the following functions.
dx
y = cos u, u = 4x - 3
dy
dx = f'(g(x))g'(x) = 0
Answer:
-4sin(4x-3)
Step-by-step explanation:
Given y = cos u, u = 4x - 3
dy/dx = dy/du * du/dx
dy/du = -sinu
du/dx = 4
dy/dx = -4sinu
since u = 4x - 3
dy/dx = -4sin(4x-3)
What is the vertex of the quadratic function below?
y = x2 + 12x - 7
Answer:
(6,101)
Step-by-step explanation:
x value of vertex is given by b/2a in quadratic.
b=12 and a=1
that gives you a 6, then plug in x=6 in the quadratic equation and that gives you
y=101
**Does anybody knows how to do it***
instructions: state what additional information is required in order to know that the triangle are congruent for the given reason.
Given: ASA
With ASA, we need two angles and an included side. An included side is one that is between the two angles.
But, we need to make sure the sides match up. So, triangle KJI is congruent to triangle ZYX.
Therefore, we need to know that side JI is congruent to YX.
Hope this helps!
Find the rate of change for the function of change from x=-3 to x=1
Answer:
She's, "HOT"!
Step-by-step explanation:
Create an exponential function, and then create a second exponential function that shifts your original function down 7 units
Answer:
A general exponential function is written as:
f(x) = A*e^(k*x)
Where A and k are real numbers.
Because we want to "create" a exponential function, we must assign numbers to A and k, let's assign:
A = 1
k = 1
then our function is just:
f(x) = e^(x)
Now we want to shift down 7 units.
So let's describe a general vertical shift.
For a general function f(x), a vertical shift is written as:
g(x) = f(x) + N
if N is positive, the shift is upwards
if N is negative, the shift is downwards.
Here we want to have a shift down of 7 units, then we would write:
g(x) = f(x) - 7
Replacing by the actual function f(x) we get:
g(x) = e^x - 7
Below you can see the graphs of both functions:
Where the orange one is f(x) and the purple one is g(x).
Evaluate the expression (24−8)4 using order of operations
Answer:
(24-8)4
(24-8)*4
16 *4
64
Ben uses a compass and a straightedige to bisect angle PQR, as shown below.
B
Wie statement beste wy Ben uses the cate with to draw Som there?
Answer:
The answer is <AQS = BQS when AS=BQ and AQ=BQ
Step-by-step explanation:
Find d:
d=| 5 1 |
|-1 10 |
D= 51
[2 4 ]
[-3 9]
the determinant of the above matrix: 30
Answer:
D = 51, other = 30
Step-by-step explanation:
d = | 5 1 |
|-1 10|
D = (5 x 10) - ( 1 x -1) = 50 + 1 = 51
| 2 4|
|-3 9|
(2 x 9) - (4 x -3) = 18 + 12 = 30
A plane travels at a speed of 213 miles per hour.
Work out an estimate for the number of seconds the plane takes to travel 1 mile.
Answer:
0.28 seconds
Step-by-step explanation:
To solve, I usually set up an equation.
miles = 213 = 1
sec 60 x
Then use cross multiplication.
213x=60
Divide both sides by 213
x=0.281690141
If you are supposed to round, round.
Hope this helps!
Answer:Hope this helps.
Step-by-step explanation:
The slope of the lines that passes through the points (-10,0) and (-13,3)
Answer:
-1
Step-by-step explanation:
The formula to find the slope of a line is:
[tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
where (x1, y1) and (x2, y2) are points on the line. We can substitute the points (-10, 0) and (-13, 3) into the formula and simplify:
[tex]\frac{3-0}{-13-(-10)} =\frac{3}{-13+10} =\frac{3}{-3} =-1[/tex]
This means the slope of the line is -1.
Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept: (0,1)
Answer:
y = (1/4)x² - (5/4)x + 1
Step-by-step explanation:
The x-intercepts of the quadratic equation are simply it's roots.
Thus, we have;
(x + 1) = 0 and (x - 4) = 0
Now, formula for quadratic equation is;
y = ax² + bx + c
Where c is the y intercept.
At y-intercept: (0,1), we have;
At (-1,0), thus;
0 = a(1²) + b(1) + 1
a + b = -1 - - - (1)
At (4,0), thus;
0 = a(4²) + b(4) + 1
16a + 4b = -1
Divide both sides by 4 to get;
4a + b = -1/4 - - - (2)
From eq 1, b = -1 - a
Thus;
4a + (-1 - a) = -1/4
4a - 1 - a = -1/4
3a - 1 = -1/4
3a = 1 - 1/4
3a = 3/4
a = 1/4
b = -1 - 1/4
b = -5/4
Thus;
y = (1/4)x² - (5/4)x + 1
How much fudge will each person get if 7 people share one half of a pound of fudge equally? Ow much fudge will each person get if 7 people share one half of a pound of fudge equally? Use the number line to help you. (2 points) A number line showing zero to one divided into two equal parts. Each part is divided into seven equal parts. Select one: a. One ninth pound of fudge b. One fourteenth pound of fudge c. One fifth pound of fudge
Answer:
B
Step-by-step explanation:
one half lb divided by 7 people will equal one fourteenth
. You have a job as a salesman. You make $15.00 an hour (h) plus a
commission of 5.5% on all of your sales (s). Create an equation that
will show your pay (p) based upon your hours (h) worked and sales
(s).
Answer:
wait what
Step-by-step explanation:
Figure A is a scale image of Figure B. What is the value of x?
khan academy
Answer:
maybe 12 because
Step-by-step explanation:
30/25=1.2
10×1.2=12
Area of this figure
Mary ran 2 miles in about 23 minutes If she continued at the same pace how long will it take her to run 10 miles?
A red die is tossed and then a green die
is tossed. What is the probability that
the red die shows a six or the green die
shows a six?
Answer:
2/12
Step-by-step explanation:
The answer is 2/12 because there are two dice, each with 6 sides and the probability on each dice is one sixth
x + y = 15
5x - y = 9
Elimination method
(4, ? )
what number is the ?
According to Class 8 please solve
Answer:
a) Rs 22
b) 4 liter
hope it helps
Answer:
cost of 2 3/4 litre milk is 60 1/2
first we in number from fractions
Step-by-step explanation:
cost of 2 3/4 litre milk is 60 1/2
first we in number from fractions
11/2 litre = 5.5 litre
RS 121/2 = 60.5
5.5 litre milk = Rs 60.5
(i) 1 lire milk = 60.5/5.5 = 11
(i) 1 litre milk rate is Rs 11
(ii) 1 litre = Rs 11 , Rs 88 = 88/11 litre , 8 litre
(i) part answer = Rs 11
(ii) part Answer = 8 litre milk
what is the solution to 4 1/5 x (1 1/9 x 3)
Answer:
14
Step-by-step explanation:
[tex]4 \frac{1}{5} \times (1 \frac{1}{9} \times 3) \\\\= \frac{21}{5} \times ( \frac{10}{9} \times 3)\\\\=\frac{21}{5} \times( \frac{10}{3})\\\\= \frac{21 \times 10}{ 5 \times 3}\\\\=7 \times 2 \\\\= 14[/tex]
Can someone help me with this math homework please!
Answer:
{x| x = -7, -6, 2, 11, 3}
Step-by-step explanation:
domain of a relation is the set of values of that act as input
so answer:-
{x| x = -7, -6, 2, 11, 3}
domain is taken as x
A car repair will cost $100 for parts plus $50 per hour for labor. Enter the function y that represents the total cost in dollars of the car repair if it requires x hours of labor.
Answer: y = $50x + 100
$100 is the y-intercept$50 is the slopeWhich figure could be the result of dilating the trapezoid with a scale factor between 0 and 1?
Answer:
On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0). Step-by-step explanation: If a trapezoid is dilated with a scale factor between 0 and 1, the resulting trapezoid will look smaller than the original trapezoid.
Step-by-step explanation:
what's the answer for 36x² - 84xy + 49y²
Answer:
(6x-7y)(6x-7y).
Step-by-step explanation:
.
Answer:
36x² - 84xy + 49y² =
6²x² - 2 (6x) (7y) + 7²y² =
(6x - 7y) ²
Answer.
(6x - 7y) ²
I have no idea how to do this, it is due in two days. Hopefully someone sees this before then.
Hello,
[tex]m\ \widehat{ABC}=x\\m\ \widehat{BAC}=2*x\\\\So:\\ x+2x=90^o\\x=30^o\\[/tex]
[tex]cos(30^o)=\dfrac{\sqrt{3} }{2} \\[/tex]
In the triangle ABC,
[tex]cos(30^o)=\frac{BC}{BA} \\\\BA=\dfrac{cos(30^o)}{BC} \\\\BA=\frac{\dfrac{\sqrt{3} }{2} }{24} =16*\sqrt{3} \\\\[/tex]
[tex]sin(30^o)=\dfrac{1 }{2} =\dfrac{AC}{AB} \\\\AC=\dfrac{1}{2} *16\sqrt{3} =8\sqrt{3}[/tex]
In the triangle ACB,
[tex]cos(30^o)=\dfrac{AC}{AL} \\\\AL=\dfrac{8\sqrt{3} *2}{\sqrt{3} } =16\\[/tex]
The graph of f(x) = −x2 − 2x + 8 is shown. Which of the following describes all solutions for f(x)?
a parabola passing through negative 4 comma zero, negative 1 comma 9, zero comma 8, and 2 comma zero
A. (x, −x2 − 2x + 8) for all real numbers
B. (−4, 0), (−1, 9), (0, 8), (2, 0)
C. (−4, 0), (2, 0)
D. (x, y) for all real numbers
Answer: C. (−4, 0), (2, 0)
Step-by-step explanation:
By solution, I believe it means the roots of the equation(aka zeros), meaning the points where the graph intersects the x-axis(aka x-intercepts). It intersects at two points: (−4, 0) and (2, 0)
Answer:
A) (x, −x2 − 2x + 8) for all real numbersStep-by-step explanation:
I got it right on my 8.06 exam! ✨ Keep believing, superstar!
and go see Sing 2 for me..its an awesome movie and it'll make u smile!
Which of the following is a solution to 2sin^(2)x+sinx-1=0
45\deg
200\deg
240\deg
270\deg
330\deg
Hello,
[tex]2*sin^2(x)+sin(x)-1=0\\\Delta=1+4*2*1=9=3^2\\sin^2(x)=\frac{-1-3}{4} =-1\ (impossible)\\or\\sin^2(x)=\frac{-1+3}{4} =\dfrac{1}{2}\\sin(x)=\dfrac{\sqrt{2} }{2} \Longrightarrow (x=45^o\ or\ x=135^o)\\or\\sin(x)=-\dfrac{\sqrt{2} }{2} \Longrightarrow (x=315^o\ or\ x=225^o)\\[/tex]
Answer A : 45°
A(-1,-5), B(5,-2) and C(1, 1).
ABCD is a trapezium.
AB is parallel to DC and angle BAD is 90°.
Find the coordinates of D.
Answer:
D(-3, -1)
Step-by-step explanation:
The given coordinates are;
A(-1, -5), B(5, -2) and (1, 1)
The coordinates and the coordinates of the point D form a trapezium
The parallel sides of the trapezium ABCD = AB and DC
The angle ∠BAD = 90°
The coordinates of the point D = Required
Let (x, y) represent the x and y-coordinates of the point D, by the given information, we get;
The slope of the line DC = The slope of the line AB
The slope of AB = (-2 - (-5))/(5 - (-1)) = 3/6 = 1/2
∴ The slope of CD, m = 1/2
From the point C(1, 1),the equation of the line CD is therefore;
y - 1 = (1/2)·(x - 1)
∴ y = x/2 - (1/2) + 1 = x/2 + 1/2
y = x/2 + 1/2
Given that ∠BAD is 90°, therefore, AD is perpendicular to DC and we have;
The slope of AD = -1/m
∴ The slope of AD = -1/(1/2) = -2
From the point A(-1, -5), the equation of the line AD is therefore;
y - (-5) = -2·(x - (-1))
y = -2·x - 2 - 5 = -2·x - 7
y = -2·x - 7
Equating both (simultaneous) values of y to find the value of x gives;
y = y, therefore;
x/2 + 1/2 = -2·x - 7
x/2 + 2·x = 5·x/2 = -7 - (1/2) = -15/2
∴ 5·x/2 = -15/2
x = (-15/2) × (2/5) = -3
x = -3
From y = -2·x - 7, and x = -3, we get;
y = -2 × (-3) - 7 = 6 - 7 = -1
The coordinates of the point D(x, y) = (-3, -1).
