Outlined sector:
2 πr x 225/360 +2r
=2x3.14x10 x 225/360 +20
=59.25 cm
Hope this helped!
Algebra
factorize
a4 - 3a2b2 + b4
Answer:
The term a⁴-3a²b²+b⁴ can't be factorised
Is 2(5m-4)-3(m-5)^2 equivalent to -3m^2+40m-83? Show your work.
[tex]\\ \sf\longmapsto 2(5m-4)-3(m-5)^2[/tex]
[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+5^2)[/tex]
[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+25)[/tex]
[tex]\\ \sf\longmapsto 10m-8-3m^2+30m-75[/tex]
[tex]\\ \sf\longmapsto -3m^2+30m+10m-75-8[/tex]
[tex]\\ \sf\longmapsto -3m^2+40m-83[/tex]
help again geometry similarity transformations
1. 2
2. The X axis
3. 3 right and 1 up (3, 1)
Answer:
2 or A
x-axis or y = 0
I'm not sure the answer choices for the third one so I'm heading out.
Step-by-step explanation:
If your device is capable of taking screenshots from your laptop/desktop, then take a screenshot, like on Windows OS, it's Windows Key + Shift + S, and on Mac OS, it's Command + Control + Shift + 4, I think.
Taking a picture from a phone takes longer to upload and has bad quality since it's from a further distance and the individual pixels are more spread out.
In the picture below, which lines are lines of symmetry for the figure?
A. 1 and 3
B. 2 and 4
C. 1, 2, and 3
D. none
Answer:
None
Step-by-step explanation:
No lines can be folded over to match up with the opposite side
Sum of zeroes of polynomial 2x²-x-3 is ? Full solved answers ✔ No spam ❌
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 , then the sum of the roots is
α + β = - [tex]\frac{b}{a}[/tex]
Here 2x² - x - 3 = 0 is in standard form
with a = 2 and b = - 1 , then
sum of roots = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
If an = 2n - 8, then which one is not a term of the sequence? ( an means nth term)
a) 13
b) 16
c) 204
d) 198
Answer:
13 is answer
Step-by-step explanation:
hope it helps
A hollow metal sphere has an external diameter of 12 cm and a thickness of 2 cm. (i) Given that the mass of 1 cm of the metal is 5.4 g, find the mass of the hollow sphere in kg. (ii) The hollow sphere is melted and recast to form a solid sphere. Find the radius of the solid sphere.
Answer:
(i) 3.438159 kg
(ii) 5.336803297 cm
Step-by-step explanation:
the external diameter = 12 cm, => the radius = 6 cm.
the internal diameter = 12 - 2×2 = 8 cm, radius = 4 cm.
I assume the mass of 1 cm³ (not cm) is 5.4 g (very, very light metal).
the material is in the volume of external sphere minus internal (empty) sphere.
the volume of a sphere is
4/3 × pi×r³
V-e = 4/3 × pi×6³ = 4/3 × pi×216 = 4×pi×72 = 904.7786842 cm³
V-i = 4/3 × pi×4³ = 4/3 × pi×64 = 268.0825731 cm³
V-e - V-i = 4/3 × pi×(216-64) = 4/3 × pi×152 = 636.6961111 cm³
1cm³ = 5.4g
636.6961111 cm³ = 5.4×636.6961111 = 3438.159g = 3.438159 kg
for (ii) we need to work with the volume of the material and calculate backwards to find the radius of the sphere with the full volume of that size.
636.6961111 = 4/3 × pi×r³ = 4/3 × pi×152
152 = r³
r = 5.336803297
find the value of x in the diagram below
Answer:
70
Step-by-step explanation:
In a trapezoid lines are parallel, so corresponding angle sum = 180
X+X+40 = 180
2x + 40 = 180
2x = 180-40
2x = 140
X = 140/2
X = 70
Answered by Gauthmath
NEEDED ASAP will MARK THE CORRECT ONE
Answer:
→ m∠ABE + m∠EBC =180°
→ m∠ABF + m∠FED + ∠DBC =180°
→ ∠ABF ≅ ∠EBC
→ ∠ABE ≅ FBC
~OAmalOHopeO
plssssss help me answer this quickly
Answer:
Step-by-step explanation:
Find the slope of the line that contains (-1, 9) and (9, 9).
Step-by-step explanation:
using the slope formula, we can see that the slope is 0
the area of a trapezoid is 21 inches, one of its bases is 8 inches and its height is 3 inches. What is the length of the last base?
Answer:
6 inches
Step-by-step explanation:
A=b1+b2/2*h
Fill in the equation with what we know
21=8+x/2*3
Isolate x
Quick steps: 21/3=7*2=14-8=6
x=6
Help!!! please!!! Confused!
how many solutions does the equation below have? 3x-8=-2x+9/3
Answer:
1
Step-by-step explanation:
[tex]\\ \sf\longmapsto 3x-8=-2x+\dfrac{9}{3}[/tex]
[tex]\\ \sf\longmapsto 3x-8=-2x+3[/tex]
[tex]\\ \sf\longmapsto 3x+2x=3+8[/tex]
[tex]\\ \sf\longmapsto 5x=11[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{11}{5}[/tex]
use the ratio of a 45-45-90 triangle to solve for the variables
Answer:
1:1:√ 2
Step-by-step explanation:
Answer:
u = 14
v = 14
Step-by-step explanation:
since both angles around the 90 degree angle are the same, also the sides need to be of equal length. v = u
so, we can use Pythagoras
(14×sqrt(2))² = u² + u² = 2u²
196×2 = 2u²
196 = u²
u = 14 = v
Calculate the mode of: 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3.
Answer:
the Mode Is 3
Step-by-step explanation:
You Have To Put the numbers from ascending order to descending order..The Numbers that appears the most is the mode
PLEASE HELP PLEASE!!!! AB←→||CD←→ . Find the measure of ∠BFG.
Answer:
BFG = 135
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel
3x+15 = 5x-5
Subtract 3x from each side
3x+15-3x = 5x-5-3x
15 = 2x-5
Add 5 to each side
15+5 = 2x-5+5
20 = 2x
Divide by 2
20/2 = 2x/2
10 =x
We know that AFG + BFG = 180 since it forms a straight line
AFG + BFG = 180
3x+15 + BFG = 180
3(10) + 15 + BFG = 180
30+15 + BFG = 180
45 + BFG = 180
BFG = 180-45
BFG = 135
Answer:
<BFG = 135
Step-by-step explanation:
They are the same angle, so they will be equal to eachother.
3x + 15 = 5x - 5
-3x -3x
----------------------
15 = 2x - 5
+5 +5
-----------------------
20 = 2x
----- ----
2 2
10 = x
3(10) + 15
30 + 15
45
180-45 = 135
The answer is 135.
what’s the answer?? please help
Answer:
W
Step-by-step explanation:
I done it before
please help me out, please and thank you
Answer:
x=1°.
see the IMAGE FOR SOLUTION
if U= π(r+h), find r when U =16/1/2 and h = 2/3/4
π = 3/1/7
Answer:
r = 2.5
Step-by-step explanation:
U= π(r+h)
Where,
U = 16 1/2
h = 2 3/4
π = 3 1/7
U= π(r+h)
16 1/2 = 3 1/7(r + 2 3/4)
33/2 = 22/7(r + 11/4)
33/2 = 22/7r + (22/7 * 11/4)
33/2 = 22/7r + 242/28
33/2 - 242/28 = 22/7r
(462-242) / 28 = 22/7r
220/28 = 22/7r
r = 220/28 ÷ 22/7
= 220/28 × 7/22
= (220 * 7) / (28 * 22)
= 1540/616
= 2.5
r = 2.5
Please help me ASAP!! Please explain your answer
Answer:
113.1 cm²
Step-by-step explanation:
V = [tex]\frac{1}{3}[/tex] [tex]\pi[/tex] r² h
h = 12 cm , r = 3 cm , [tex]\pi[/tex] = [tex]\frac{22}{7}[/tex]
V ≈ 113.1 cm²
Look at the graph shown.
Which equation best represents the line? (4 points)
y = 1 over 3.x − 1
y = 3x − 1
y = −x + 1 over 3.
y = 3x + 1
Answer:
y=3x - 1
Step-by-step explanation:
we are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.
we know that b must be -1 because the line hits the y-axis when y is -1
this now leaves us with either the first or second choice
we then choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.
so then we know the answer is y=3x-1
hope this helps
AYUDAAAAA
Un litro de leche de búfala equivale a 1.7 litros de leche de vaca. ¿si tengo
27 litros de leche de búfalo, a cuantos litros de leche de vaca equivaldría?
Answer:
27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.
Step-by-step explanation:
Sabiendo que un litro de leche de búfala equivale a 1.7 litros de leche de vaca, podemos calcular el equivalente de capacidad de la vaca para 27 litros de leche de búfala mediante Regla de Tres Simple:
[tex]x = 27\,L\times \frac{1.7\,L}{1\,L}[/tex]
[tex]x = 45.9\,L[/tex]
27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.
For the parabola y = (x+14)^2 -4, The value of the y coordinate of the vertex is?
Answer:
-4
Step-by-step explanation:
y = (x+14)^2 -4
The equation is in vertex form
y = a(x-h)^2 + k where (h,k) is the vertex
The y coordinate of the vertex is k = -4
Answer:
y - coordinate = - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = (x + 14)² - 4 ← is in vertex form
with vertex = (- 14, - 4 )
The y- coordinate of the vertex = - 4
Fill in the missing statements and reasons in the proof
Answer:
1. Given
2. Vertical angle theorem
3. AB≅DB, EB≅CB, m<ABC≅m<DBE
4. △ABC ≅ △DBE
Hope this helps :D
what is the equation of the line that passes through the points (-8,8) and (4,-1)
Answer:
y = (-3/4)x + 2
Step-by-step explanation:
Find the slope of this line. Note how the first x-coordinate (-8) becomes 4, a jump of 12, and how the first y-coordinate (8) becomes -1, a decrease of 9. Then the slope is
m = (change in y) / (change in x) = -9/12 = m = -3/4
Find the y-intercept from this data using the slope-intercept form:
y = mx + b becomes 8 = (-3/4)(-8) + b when x = -8, y = 8 and m = -3/4.
Solving this equation for b, we get:
8 = 6 + b, so that b must be 2.
The desired equation is y = (-3/4)x + 2.
Which whole number property is represented?
(8 × 2) × 6 = 8 × (2 × 6)
Answer:
(8 × 2) × 6 = 8 × (2 × 6) represents associative property of whole number.
How long would it take the car to travel a distance of 2 meters at this average speed?
Answer:
1 hour
Step-by-step explanation:
2 ÷2=1 speed divide by distance
Can someone plz help with this problem
Answer:
I think the answer is 2
Step-by-step explanation:
Between 30 and 60 is double b so just divide 4 by 2.
Write the exponential function that passes through (-1, 27), (0, 9), (1, 3).
Step-by-step explanation:
we see, for x=-1 we get 3³
x=0 we get 3²
x=1 we get 3¹
so the function is definitely a 3 to the power of x version.
but we need to adapt the exponent a bit and correct x, so that at least for these 3 values of x the result is "running backwards".
the easiest way : 2-x as exponent.
it fits.
for x=-1 we get 2 - -1 = 3 as exponent.
for x=0 we get 2-0 = 2 as exponent.
for x=1 we get 2-1 = 1 as exponent.
so, the exponential function passing through these 3 points is
[tex]f(x) = {3}^{2 - x} [/tex]