Answer:
V≈18.63m³
Step-by-step explanation:
V=ABh
3=6.5·8.6
3≈18.63333m³
A circle has a center at (-2, 5) and a radius of bold 3 square root of bold 2units. What is the equation of the circle in standard form?
Given:
The center of the circle = (-2,5)
The radius of the circle = [tex]3\sqrt{2}[/tex] units.
To find:
The equation of the circle is standard form.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] ...(i)
Where, (h,k) is the center of the circle and r is the radius of the circle.
It is given that the center of the circle is (-2,5). So, [tex]h=-2,\ k=5[/tex].
The radius of the circle is [tex]3\sqrt{2}[/tex] units. So, [tex]r=3\sqrt{2}[/tex].
Putting [tex]h=-2,\ k=5[/tex] and [tex]r=3\sqrt{2}[/tex] in (i), we get
[tex](x-(-2))^2+(y-(5))^2=(3\sqrt{2})^2[/tex]
[tex](x+2)^2+(y-5)^2=18[/tex]
Therefore, the equation of the circle is [tex](x+2)^2+(y-5)^2=18[/tex].
% of $4 = $1
What is
Answer:
25 percent is the answer to your question.
4# is a two digit number ,where # represents the digit at ones place . 7999 ÷ 4# lies between ---------
Answer:
[tex]7999 \div 4\#[/tex] lies between 163.245 and 199.975
Step-by-step explanation:
Given
2 digit = 4#
Required
The range of [tex]7999 \div 4\#[/tex]
Let
[tex]\# = 0[/tex] --- the smallest possible value of #
So:
[tex]7999 \div 40 = 199.975[/tex]
Let
[tex]\# = 9[/tex] --- the largest possible value of #
So:
[tex]7999 \div 49 = 163.245[/tex]
Hence, [tex]7999 \div 4\#[/tex] lies between 163.245 and 199.975
Mixing 4 ml of red paint and 15 ml of yellow paint makes orange paint. How much red would be needed if you use 1500 ml of yellow paint?
Answer:
Amount of red paint needed for 1500 ml yellow paint = 400 ml
Step-by-step explanation:
Given:
ration of red paint to yellow paint = 4 ml to 15 ml
Find:
Amount of red paint needed for 1500 ml yellow paint
Computation:
Amount of red paint needed for 1500 ml yellow paint = [ration of red paint to yellow paint]1500
Amount of red paint needed for 1500 ml yellow paint = [4/15]1500
Amount of red paint needed for 1500 ml yellow paint = [4]100
Amount of red paint needed for 1500 ml yellow paint = 400 ml
A horizontal line passes through the point (5, –1). Which point is also on this line?
(0, 0)
(–1, 5)
(5, –4)
(–2, –1)
Answer:
Step-by-step explanation:
A horizontal line is a "y = " line. So the horizontal line that goes through the point given has the equation y = -1 (-1 being the y coordinate of the point). That means that another point on this line, y = -1, will also have to have a y coordinate of -1. The only one is the last one, (-2, -1).
Answer:
D
Step-by-step explanation:
I just took the test
WILL GIVE BRANLIEST!!! pls help tysm!!!
i’m horrible at math, can anyone help?
Answer: no I'm actually horrible at math too sorry
Can you complete the table and graph the parabola of y= x squared +4x + 4
Answer:
no
Step-by-step explanation:
describe the transformation of f(x) to g(x)
PLEASE HELP!!
A. f(x) is shifted down units to g(x).
B. f(x) is shifted up 2 units to g(x).
C. f(x) is shifted up units to g(x).
D. f(x) is shifted up 1 unit to g(x).
Answer:
D. f(x) is shifted up 1 unit to g(x).
Step-by-step explanation:
Just let's look at the y-intercept of each function.
f(0) = 0
g(0) = 1
Also remember that a vertical shift of N units is written as:
g(x) = f(x) + N
where if N is positive, the shift is upwards, and if N is negative, the shift is downwards.
then we can write, for the particular value x = 0
g(0) = f(0) + N
replacing the values
1 = 0 + N
1 = N
Then N is positive, so we have a shift up of one unit.
The correct option is:
D. f(x) is shifted up 1 unit to g(x).
what is a statement that is assumed to be true without proof
A television was originally priced at $522, but Sam waited to buy it until the television was on sale for 50% off. If
he paid 8% sales tax on the sale price, how much did he pay in total?
Answer:
281.88
Step-by-step explanation:
522X.5(50%)=261 discount
522-261=261=sales price
261X.08=20.88 sales tax
261+20.88=281.88 sales price including sales tax
12) Compare. Use <, >, or =. 665.5 - 281.7_1
373.8
Answer:
383.8 = 383.8
Step-by-step explanation:
665.5-281.7 ? 373.8
383.8 = 383.8
A motorcycle cost $12,000 when it was purchased. The value of a motorcycle decreases by 6% each
year. Find the rate of decay each month and select the correct answer below.
-0.005143%
-0.5143%
-0.005%
-0.5%
Answer:
the correct answer is -0.5%
A group of 31 friends gets together to play a sport. First, people must be divided into teams. Each team has to have exactly 3 players, and no one can be on more than one team. How many teams can they make?
Answer:
10, 1 remaining
Step-by-step explanation:
Each team can have 10 people but there will be a remaining person that will not be able to participate.
31 ÷ 3= 10.33333333
Hope this helped :)
Can I please get some help? I would really appreciate it.
If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K' (2,5)
K'(-2,-5)
K'(-5, 2)
K'(2,-5)
Write the point-slope form of an equation of the line through the points (6, -1) and (5, -7).
Answer:
y + 1 = 6(x - 6)
Step-by-step explanation:
y2 - y1 / x2 - x1
-7 - (-1) / 5 - 6
-6/-1
= 6
y + 1 = 6(x - 6)
Como se saca el volumen de una piscina rectangular mide 10 m de largo y 4 m de ancho y se necesita lennar con 100000 litros e agua
Complete Question
En una piscina con forma rectangular mide 10 metros de largo y 4 metros de
ancho y se sabe que para llenar la piscina se necesitan 100 000 litros de agua.
a) ¿Cuál es el volumen de la piscina?
b) ¿Cuál es la profundidad de la piscina?
Answer:
a) ¿Cuál es el volumen de la piscina?
= 100 m³
b) ¿Cuál es la profundidad de la piscina?
= 2.5m
Step-by-step explanation:
a) Se nos da la cantidad de litros de agua necesarios para llenar la piscina = 100000 litros
Conversión a cm³
1 litro = 0.001 m³
100000 litros = x
x = 100000 × 0.001 m³
x = 100 m³
b) La profundidad de la piscina se calcula como:
Volumen de la piscina ÷ (Largo × Alto)
Longitud = 10 m
Altura = 4 m
Por eso,
100 m³ ÷ (10 m × 4 m)
100 m³ ÷ 40 m²
= 2.5 m
Respuesta:
a) 1000m³
b) 25m
Explicación paso a paso:
Pregunta completa;
Piscina de forma rectangular, mide 10 metros de largo por 4 metros de alto.
de ancho y se sabe que se necesitan 100.000 litros de agua para llenar la piscina.
a) ¿Cuál es el volumen de la piscina?
b) ¿Cuál es la profundidad de la piscina?
Dado que 1m³ = 1000litros
x = 100.000 litros
Cruz multiplicar
100.000 * 1 = 1000x
100.000 = 100x
x = 100.000 / 100
x = 1000
Por lo tanto, el volumen de la piscina es de 1000 m³.
Voume = largo * ancho * profundidad
1000 = 10 * 4 * d
1000 = 40 días
d = 1000/40
d = 25
Por lo tanto, el tanque tiene 25 m de profundidad.
which pairs of angles in the figure below are vertical angles select all that apply
Answer:the left one
Step-by-step explanation:
What is the y intercept of the line described by the equation down below y=3x-6
Answer:
y-int = (0, -6)
Step-by-step explanation:
The y-intercept is the b-value of the equation of the line y = mx+b
To find the y-intercept plug in 0 for the x-value:
y=3(0) - 6
y= -6
-> x = 0, y = -6
For the arithmetic sequence beginning with the terms {-2, 0, 2, 4, 6, 8...}, what is the sum of the first 18 terms?
Answer:
The sum of the first 18 terms is 270.
Step-by-step explanation:
First the 18th term is calculated which is gotten using the following steps below:
an = a1 + d ( n - 1 )
Where, an =18th term
a1= first term (-2)
d = difference
n = 18
Therefore, 18th term
an= -2 + 2 (18 - 1)
= -2 + 2 (17)
= -2 + 34
18th term = 32
To calculate the sum of the first 18th terms the following steps are used,
Sn = n(a1 + an)/2
Where,
Sn = sum of 18th term
n = 18
a1 = -2
an = 18 term
Therefore,
Sn = 18 (- 2+ 32)/2
= 18 (30)/2
= 18 ×30 /2
= 540/2
= 270
The coordinates of the turning point of the parabola whose equation is y = x2 — 6x + 8 are A. (3, 35) C. (-3, 35) B. (-3, —1) D. (3. —1)
Answer:
D. (3. —1)
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Turning point of a quadratic function:
The turning point of a quadratic function is the vertex.
y = x2 — 6x + 8
This means that [tex]a = 1, b = -6, c = 8[/tex]
Now, we find the vertex.
[tex]x_{v} = -\frac{b}{2a} = -\frac{-6}{2(1)} = 3[/tex]
[tex]\Delta = b^2-4ac = (-6)^2-4(1)(8) = 36 - 32 = 4[/tex]
[tex]y_{v} = -\frac{4}{4(-1)} = -1[/tex]
(x,y) = (3,-1), and the correct answer is given by option D.
Triangle A'B'C' is the result of dilating ABC about point P by a scale factor of 2.
Answer:
Step-by-step explanation:
use formula
(x,y)=(kx,ky) (k means scale factor)
A(1,1)=A'(1*2,1*2+
A'=(2,2)
B(3,1)=B'(3*2,1*2)
B'=(6,2)
C(3,-3)=C'(3*2,-3*2)
C'=(6,-6)
The given statements are,
1. BC and B'C' are the same line, is true.
And, 2. AB and A'B' are both parallel to x - axis, is true.
Here,
Triangle A'B'C' is the result of dilating ABC about point P by a scale factor of 2.
What is dilation?
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
Now,
For finding the points of A', B', C' we used formula,
(x, y) = (kx, ky)
Where k is scalar factor.
Here, A = ( 1, 1 ) ⇒A' = ( 2X1, 2X1) = ( 2, 2 )
And, B = ( 3, 1 ) ⇒ B' = ( 2X3, 2X1 ) = ( 6, 2 )
And, C = ( 3, -3 ) ⇒C' = ( 2X3, 2X-3 ) = ( 6 , -6 )
Hence, clearly by all points,
BC and B'C' are on the same line.
And, AB and A'B' are both parallel to x - axis.
Both are true.
Learn more about the dilation visit:
https://brainly.in/question/3154626
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A teacher is buying supplies for two art classes. For class 1, the teacher buys 24 tubes of paint, 12 brushes, and 17 canvasses. For class 2, the teacher buys 20 tubes of paint, 14 brushes, and 15 canvasses. Each tube of paint costs $3.35, each brush costs $1.75, and each canvas costs $4.50. Compute the following matrix multiplication to determine how much the teacher spent on each class.
Find the value of x in each triangle. Please help me <33
Answer:
x = 11
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
5x + 4 + 6x - 3 + 4x + 14 = 180 ← collect like terms on left side
15x + 15 = 180 ( subtract 15 from both sides )
15x = 165 ( divide both sides by 15 )
x = 11
A line has a slope of -1/4 and passes through point
(-5/4, 1)
What is the equation of the line?
Answer:
y = -1/4 x+11/16
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -1/4x+b
Substitute the point in for x and y
1 = -1/4(-5/4) +b
1 = 5/16 +b
16/16 = 5/16 +b
Subtract 5/16 from each side
11/16 = b
y = -1/4 x+11/16
Answer:
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]
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 = - [tex]\frac{1}{4}[/tex] , then
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute ( - [tex]\frac{5}{4}[/tex], 1 ) into the partial equation
1 = [tex]\frac{5}{16}[/tex] + c ⇒ c = 1 - [tex]\frac{5}{16}[/tex] = [tex]\frac{11}{16}[/tex]
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]
Honestly, I know these answers I just wanna see if the answers I got are correct.
Answer:
4. 78,020,008 4. Seventy-eight million, twenty thousand, eight
5. 20,011,012 5. 20,000,000 + 11,000 + 12
6. 50,000 7. 900 8. 70,000,000 9. 30,000,000
y = 3x - 1
3x - y = 9
X=
A) x = 123, y = 4 4
B) x=3, y = 0
C) No solution
D) Infinitely many solutions
Answer:
no solution.
Step-by-step explanation:
given that, y = 3x-1
so,
in equation, 3x-y = 9
putting the value of y here,
3x-(3x-1) = 9
3x-3x+1 = 9
3x and 3x is cancelled.
hence, no solution
Can someone help me please
Answer:
to find the perimeter of this we use the theorem
a^2+b^2=c^2
so if we count we know
A=4
B=5 so
16+25=41
so we find the square root of 41 which is 6.4
so we add 4+5+6.4=15.4
so the answer is D
Hope This Helps!!!
Gary buys a skateboard for
$145. What's the total cost
including 6% sales tax?
Answer:
$8.6
Step-by-step explanation:
The total tax is 8 dollars and 60 cents
Answer:
$153.70
Step-by-step explanation:
Sales tax is applied to things that are sold by a retailer. So if it says 6% tax is levied on the item, that means the total cost will be the initial cost of skateboard ($145) + sales tax (6% of 145) = 145 + 8.7 = $153.70
