Answer:
[tex]\sqrt{12}=2\sqrt{3}[/tex]
[tex]\sqrt{18} = 3\sqrt{2}[/tex]
[tex]\sqrt{24}=2\sqrt{6}[/tex]
[tex]\sqrt{72}=6\sqrt{2}[/tex]
Step-by-step explanation:
Hi there!
[tex]\sqrt{12}[/tex]
To simplify a square root, check if the radicand has any perfect square factors. For example, 12 can be rewritten as 4*3:
[tex]=\sqrt{4*3}\\=\sqrt{4}*\sqrt{3}[/tex]
4 is a perfect square. Its square root is 2:
[tex]=2*\sqrt{3}\\=2\sqrt{3}[/tex]
[tex]\sqrt{18} \\= \sqrt{9*2} \\= 3\sqrt{2}[/tex]
[tex]\sqrt{24} \\=\sqrt{4*6}\\=2\sqrt{6}[/tex]
[tex]\sqrt{72} \\=\sqrt{36*2} \\=6\sqrt{2}[/tex]
I hope this helps!
A rectangle has width 65 mm and length 72 mm What is the area of the rectangle in cm2 ?
Answer:
Step-by-step explanation:
Area of rectangle: l×b
Length = 72mm
= 7.2cm
Breadth = 65mm
= 6.5cm
(We know that 10mm = 1cm)
Area = 7.2×6.5
= 46.8cm²
The area of the rectangle is 46.8cm²
Must click thanks and mark brainliest
Answer:
area of a rectangle is (l×w)
Step-by-step explanation:
1cm=10mm
hb65mm
1cm×65mm
allover10mm
=6.5cm
do the same to 72mm to get 7.2cm
you then say 6.5cm×7.2cm
=46.8cm2
hope this helps
Is this a function or no?
Function
It is a function
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.
What is the simplest form of 20 over 315?
Answer:
4/63
Step-by-step explanation:
20/315 = (20÷5)/(315÷5)
What is the area? Please help!!!
Answer: 96 ft²
Step-by-step explanation:
This figure can be divided into two rectangles:
The first rectangle has dimensions 6 ft by 14 ft.The second rectangle had dimensions 4 ft by 3 ft.Find the area of both rectangles:
The first rectangle: 6 × 14 = 84 ft²The second rectangle: 4 × 3 = 12 ft²Add them together to find the total area of the figure:
84 + 12 = 96 ft²
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
PLEASE HELP
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Complete the inverse function for the function given below.
Answer:
[tex]f^{-1}[/tex](x) = 0.5x + 2
Step-by-step explanation:
let y = f(x) and rearrange making x the subject , that is
y = 2x - 4 ( add 4 to both sides )
y + 4 = 2x ( divide both sides by 2 )
[tex]\frac{y+4}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x)
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+4}{2}[/tex] = 0.5x + 2
Answer: F -1(x) = 0.5 x + 2
Step-by-step explanation:
Just took the test on edmentum and got a 100
can some one help me on this one its confusing ill give brainly when right!!!
Calculate : y
y = 20
y = 10
y = 15
y = 144
choose the only correct answer
Classify the polynomial and determine its degree.
The polynomial –2x2 – x + 2 is a
with a degree of
.
Answer:
Trinomial, 2
Step-by-step explanation:
Answer:
Trinomial, 2
Step-by-step explanation:
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
Parallel to the line y=-4x-1 and through the origin.
Answer:
y=-4x
Step-by-step explanation:
Parallel to the line, slope is - 4. The equation of line is y=-4x
2.2.4.4.4=
plzz help
Answer:
what is this question ??
This answer will also same 2.2.4.4.4=2.2.4.4.4
An airplane travels 3690 kilometers against the wind in 5 hours and 4490 kilometer with the wind in the Sam amount of time what is the rate of the plane
still air and what is the rate of the wind?
Step-by-step explanation:
Against the wind, the wind works against the speed. With the wind, the wind aids the speed.
4(p - w) = 2416
4(p + w) = 2896
p - w = 604
p + w = 724
2p = 1328
p = 664 mph
664 + w = 724
w = 60 mph
find the matrices of
[tex]\huge{\sf \left[{x-2y\atop 6x-2z}\:\:\:{4y-3\atop 2y-z}\right]=\left[{-3\atop 4}\:\:\:{5\atop 3}\right]}[/tex]
Creating equations
[tex]\\ \sf\longmapsto x-2y=-3\dots(1)[/tex]
[tex]\\ \sf\longmapsto 4y-3=5\dots(2)[/tex]
[tex]\\ \sf\longmapsto 6x-2z=4\dots(3)[/tex]
[tex]\\ \sf\longmapsto 2y-z=3\dots(3)[/tex]
From eq(2)[tex]\\ \sf\longmapsto 4y-3=5[/tex]
[tex]\\ \sf\longmapsto 4y=5+3[/tex]
[tex]\\ \sf\longmapsto 4y=8[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{8}{4}[/tex]
[tex]\\ \bf\longmapsto y=2[/tex]
Put the value in eq(1)[tex]\\ \sf\longmapsto x-2y=-3[/tex]
[tex]\\ \sf\longmapsto x=-3+2y[/tex]
[tex]\\ \sf\longmapsto x=-3+2(2)[/tex]
[tex]\\ \sf\longmapsto x=-3+4[/tex]
[tex]\\ \bf\longmapsto x=1[/tex]
Put the value in eq(4)[tex]\\ \sf\longmapsto 2y-z=3[/tex]
[tex]\\ \sf\longmapsto z=2y-3[/tex]
[tex]\\ \sf\longmapsto z=2(2)-3[/tex]
[tex]\\ \sf\longmapsto z=4-3[/tex]
[tex]\\ \bf\longmapsto z=1[/tex]
I need help ASAP!!Please explain how to do the problem
Answer:
86⁰
Step-by-step explanation:
Reason:
180⁰-94⁰=86⁰
[Opposite sides of a cyclic quad are supplementary (add up to 180⁰)]
What is the constant of proportionality in the equation y=2.5x
Answer:
2.5
Step-by-step explanation:
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
The volume of this cube is 64 cubic feet. What is the value of a?
Find the measure of each angle supplementary angles with measures 2X +3 and 3X +2
supplementary angles = the sum of those angles will equal to 180 degrees
so,
2x + 3 + 3x + 2 = 180
5x + 5 = 180
5x = 175
x = 35
angle 1 -> 2x + 3 = 70 + 3 = 73
angle 2 -> 3x + 2 = 105 + 2 = 107
if you want to check, 107 + 73 = 180
hope it helps :)
please help you can answer it by saying something like option 3 or option 2 that would be ok
Answer:
maby option 5
Step-by-step explanation:
Which is the graph of y = log4(x+3)?
Answer:
Step-by-step explanation:
Answer:
Option c points at (-2,0) (-1, 0.5) and (1,1)
Step-by-step explanation:
Find the arc length of the partial circle.
Answer:
arc length = 4π units
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{90}{360}[/tex]
= 2π × 8 × [tex]\frac{1}{4}[/tex]
= 2π × 2
= 4π units ← exact answer
Can anyone help? It’s due in the morning
21) Angle 4
Angle 5
Angle GVH
Angle GVI
Angle HVI
22) Area of parallelogram = [tex]bh[/tex]
A = 9 × 4 = [tex]36mi^2[/tex]
23) Area of a triangle = [tex]\frac{1}{2} bh[/tex]
A = [tex]\frac{1}{2} (12)(7.3)[/tex]
A = [tex]43.8m^2[/tex]
24) Distance between each pair of point:
Distance between two points = [tex]\sqrt{(x_{B}-x_{A} )^2+(y_{B}-y_{A} )}[/tex]
Add the values in the formula & solve:
[tex]=\sqrt{(-2-0)^2+(2--4)^2}[/tex]
[tex]=\sqrt{(-2)^2+6^2}[/tex]
[tex]=\sqrt{4+36}[/tex]
[tex]=\sqrt{40}=6.3246[/tex]
25) Midpoint [tex](x_{M},y_{M} )=(\frac{x_{A} -x_{B} } {2} ,\frac{y_{A}+y_{B} }{2} )[/tex]
[tex]=(\frac{10+0}{2},\frac{6+7}{2} )[/tex]
[tex]=(\frac{10}{2} ,\frac{13}{2} )[/tex]
Midpoint of a line segment [tex](x_{M},y_{M} )=(5,6.5)[/tex]
I hope this helps....
Two lines, C and D. are represented by the equations given below.
Line C: y = x + 10
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(5, 17), because one of the lines passes through this point
(5. 17), because the point lies between the two axes
(4, 14), because the point does not lie
on any axis
(4, 14), because both lines pass through this point
29 A student has N425. He bought seven ex-
ercise books and he was given N5 as
change. What is the average cost of one
exercise book?
A N60.71 B N50 C N60
DN50.71 E
N75
244 Children are on a school trip, there
are 19 seats on a coach. How many
coaches are needed?
Answer:
Totally number of coaches needed is 12
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Solve.
d+e= 2
d-e = 4
Use the substitution method.
O There are an infinite number of solutions.
O There is no solution.
О
The solution is
(3. – 1).
(5, 1)
O The solution is
Step-by-step explanation:
let d+e=2 be equation 1
let d-e=4 be equation 2
lets make d the subject in equa 1
d = 2-e equation 3
put equation 3 in 2
2-e=4
e=2-4
e=-2
put e=-2 in equa 1
d-2=2
d=4
e is -2 and d is 4
Trigonometry help needed
help would be appreciated
Answer:
Step-by-step explanation:
Question 5
Part A
if Sin(x) = - 3/5 and tan(x) < 0
you are told 3 things
cos(x) must be plus because there are 4 quads. Everybody is plus in quad 1. Sin and tan are <0 so you must be in quad 4 where cos(x) => 0From sin^2(x) + cos^2(x) = 1, we get that cos(x) = 4/5Tan(x) = sin(x) / cos(x)tan(x) = Sin(x)/cos(x)
tan(x) = -3/5 // 4/5
Tan(x) = -3/4
Part B
cos(2x) = cos^2(x) - sin^2(x)
cos(2x) = (4/5)^2 - (-3/5)^2
cos(2x) = 16/25 - 9/25
cos(2x) = 7/25
Part B
x + y = 90
sin(x +y) = 1
Sin(x - y) =
Sorry can't do this part. I don't know what this is equal to.
Which expression is equivalent to 2x2x2x2x2
Answer:
2^5
Step-by-step explanation:
2x2x2x2x2
Count the number of 2's, that is the power
The base is 2
2^5
Answer:
2 to the power of 5
Step-by-step explanation:
there are 5 2's being multiplied by each other and that can be shortened to the power of 5.
