Answer:
5m^2-2m
Step-by-step explanation:
2m^2-2m + 3m^2
5m^2-2m
Answer:
5m² - 2m
Step-by-step explanation:
Given
2m² - 2m + 3m² ← collect like terms
= (2m² + 3m²) - 2m
= 5m² - 2m
rationalise 3 square root 2 divided by square root 3
Answer:
root3
Step-by-step explanation:
multiply the numerator and denominator by the root of 3
3root2×root3/root3×root3
3root6/3
note root3×root3=3
the 3 up will divide the 3 down
and that lives u with the answer root2
sorry currently won't have a way of writing the roots thats y am using words
Expand and simply
(5x + 4)²
Answer:
25x^2 +40x+16
Step-by-step explanation:
(5x + 4)²
(5x+4)(5x+4)
FOIL
first 5x*5x = 25x^2
outer 5x*4 = 20x
inner 4*5x = 20x
last = 4*4 = 16
Add them together
25x^2 +20x+20x+16
Combine like terms
25x^2 +40x+16
Answer:
[tex] {(5x + 4)}^{2} \\ = {(5x)}^{2} + 2 \times 4 \times 5x + {4}^{2} \\ = 25 {x}^{2} + 40x + 16 \\ thank \: you[/tex]
Given that MTW = CAD, which segments are corresponding parts of the congruent triangles? MT CD MW CA TW. AD
Answer:
TW correspondant to AD
Step-by-step explanation:
That's the right answer
Segments TW and AD are corresponding parts of the congruent triangles.
What are congruent triangles?Two triangles are called congruent if their corresponding sides and angles are congruent.
Given that, Δ MTW ≅ Δ CAD
The congruent parts are;
MT = CA
TW = AD
MW = CD
∠ M = ∠ C
∠ T = ∠ A
∠ W = ∠ D
Hence, Segments TW and AD are corresponding parts of the congruent triangles.
For more references on congruent triangles, click;
https://brainly.com/question/12413243
#SPJ2
If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?
A=66
B=229.18
C=114.59
D=240
Answer:
229.18 degrees
Step-by-step explanation:
The circumference of a circle with radius r is 2×pi×r.
So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.
So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.
There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.
if 2 sides of a triangle are 6 and 16, what is the range of the possible lengths of the third side?
Answer:
between 10 and 22
Step-by-step explanation:
A side of a triangle must measure between the difference of the lengths of the other two sides and the sum of the lengths of the other two sides.
Difference: 16 - 6 = 10
Sum: 6 + 16 = 22
Answer: between 10 and 22
Which is the best estimate of -14 1/9 (-2 9/10)
Answer:
Step-by-step explanation:
-14 1/9 is close to - 14
-2 and 9/10 is close to - 3
The best estimate would be 42 (14 * 3)
Estimate means you put your calculator on the kitchen counter until you've done this question.
Let's see what the actual answer is. 40.92222 which is close to 41.
42 is a pretty good estimate.
joe measures the side of a square correct to 1 decimal place. he calculates the upper bound for the area of the square as 37.8225cm².
work out joe's measurement for the side of the square
The side of the square is 6.2 cm
A square is a quadrilateral with four equal sides.
Characteristics of a square includes:
• The diagonals bisect each other at 90°.
• Opposite sides parallel and of equal length
• The four angles of a square are equal.
Area of a square = length of a side²
37.8225cm² = length of a side²
To determine the length of a side, find the square root of 37.8225cm²
√ 37.8225cm² = 6.15cm
To round off to one decimal place, look at the second number after the decimal (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
The hundredth number is 5, so one would be added to one. the number then becomes 6.2cm
Learn more on how to determine the side length of a square here : https://brainly.com/question/10646504?referrer=searchResults
please help asap if possible!!
Answer:
Does the answer help you?
Which equation has the solution x = -4? 2(x - 4) = 16 3x + 6 - 2x = -2 (1/4)x + 4 = 3 (x + 6)3 = -6
Answer:
hello its (1/4)x+4=3
Step-by-step explanation:
Find the value of x for which the lines p and q are parallel.
Answer:
7 is the answer..........
Answer:
x = 7 (C)
Step-by-step explanation:
So first we need to be able to know the value of 14x + 18. Which is 116 degrees. This is because it is corresponding to the angle labelled 116 degrees and corresponding angles are equal so:
14x + 18 = 116
14x + 18 - 18 = 116 - 18 Here you collect like terms then the equation will look like this:
14x = 116 - 18 116 - 18 = 98
14x = 98 Divide both sides by 14
14x / 14 = 98 / 14
x = 7 So your answer is 7.
HOPE THIS HELPED
Hello, who can help me solve this problem?Please see the picture below and take a look
9514 1404 393
Answer:
C
Step-by-step explanation:
It's about making up a rule that gets from one figure to the next. Here's the rule I used:
The bottom left segment is rotated 1/8 turn CW from one figure to the next.
The top middle segment is rotated 1/4 turn CW from one figure to the next.
After steps, the top middle segment will be back in the same place. The lower left segment will be in the opposite corner. This corresponds to figure C.
pls help. do all three for brainliest!
Answer:
Rectangular pyramid volume: 8×9×9/3 = 216 cm³
Rectangular prism volume: 8×9×7 = 504 cm³
Total volume of composite figure: 216+504 = 720 cm³
Answer:
720 cm³
Step-by-step explanation:
Rectangular pyramid:
Volume = [tex]\frac{1}{3}BH[/tex]
H = 9 cm
B-> base area = area of rectangle
B = length * width = 8*9 = 72 square cm
[tex]Volume = \frac{1}{3}*72*9 = 216 \ cm^{3}[/tex]
Rectangular prism:
length = l = 8 cm
Width = w = 9 cm
Height = h = 7 cm
Volume of rectangular prism = l * w * h = 8 * 9 * 7 = 504 cm³
Volume of composite figure = volume of pyramid + volume of r. prism
= 216 + 504
= 720 cm³
What is the surface area of the cylinder with height 7 in and radius 3 in? Round your
answer to the nearest thousandth.
Answer:
188.495
Step-by-step explanation:
Given that,
h=7
r=3
Surface area of a cylinder = 2πr(h + r)
=2π×3(7+3)
=18.8495559215 (10)
=188.495
The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington, DC is 110 miles. On the map, how many centimeters are between the two cities? Plz someone answer
Answer:
3.667
Step-by-step explanation:
30 miles per cm means divide distance by 30 or
110/30 = 3.667
It is an equation
What is -
x+3x=25
2x+36x=2
Answer:
Answer 1 : 25/4
Answer 2 : 1/19
Step-by-step explanation:
Question 1:
x + 3x = 25
4x = 25
x = 25/4
Question 2:
2x+36x=2
38x = 2
x = 2/38
x = 1/19
What is an algebraic expression for the word phrase 6 times a number n?
Answer:
6n i guess?
Step-by-step explanation:
think of as this
n=1 (1n)
n×6=n6
Answer:
6n
Step-by-step explanation:
when we say 6times a number,it means 6 multiplying the number
Someone PLEASE help me.
Solve for the indicated variable in the parentheses.
y= 5x*6 (x)
Step-by-step explanation:
a is the answer if is wrong I'm sorry
Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589. You must show all of your work to receive credit.
PLSSS SHOW WORK <3
Answer:
x = 18
Step-by-step explanation:
First, let's find the ratios between the two triangles
We'll use AV and AC
372 ÷ 589 = 12/19
All of the sides of the smaller triangle are 12/19 of the bigger triangle
Now let's find x
We know that AU + UB = AB
So it's 20x + 108 + 273 = AB
12/19 of a bigger triangle side equals a small triangle side
(12/19)AB = AU
For this equation multiply both sides by 19/12 to isolate AB
(12/19)AB x 19/12 = AU x 19/12
AB = (19/12)AU
Now we have this
20x + 108 + 273 = (19/12)(20x + 108)
20x + 381 = (19/12)(20x + 108)
Distribute the 19/12
20x + 381 = 95/3x + 171
Move all like terms to one side
20x + 381 = 95/3x + 171
- 171 - 171
20x + 210 = 95/3x
- 20x - 20x
Don't forget about common denominators
210 = 95/3x - 60/3x
210 = 35/3x
Multiply both sides by 3
210 x 3 = 35/3x x 3
630 = 35x
Divide both sides by 35
630/35 = 35x/35
x = 18
Answer:
Step-by-step explanation:
[tex]\frac{20x+108}{20x+381}[/tex] = [tex]\frac{372}{589}[/tex]
589( 20x + 108 ) = 372( 20x + 381 )
11780x + 63612 = 7440x + 141732
4340x = 78120
x = 18
The ratio of the measures of the three angles of a triangle is 2:2:5 . Find the measure of each angle
Answer:
Angle 1:Angle2: angle3: total
40 40 100 180
Step-by-step explanation:
The sum of the angles of a triangle is 180
Angle 1:Angle2: angle3: total
2 :2 :5 : 2+2+5 = 9
Divide 180 by 9
180/9 = 20
Multiply each by 20
Angle 1:Angle2: angle3: total
2*20 :2*20 :5*20 : 9*20
40 40 100 180
PLEASE HURRY!!
3cx + cx =7
Help!!! Simplify each expression
Answer:
1)-2k
2)-8n-3
3)6b+2
4)-7x
5)5x+12
6)-2k+9
7)10x
8)3x
9)8x-1
10)4m+7
11)3m
12)4v+1
13)-3v
14)-2n+4
15)x-11
16)0
17)9k
18)-2x-6
19)-10x
20)2a
If you have any questions regarding my answer tell me in the comments, and I will come answer them. Have a good day.
How to solve 7( 2x + 2 ) -9 ( -1 + 6x )
please mark this answer as brainlist
Help Me!
In the quadrilateral ABCD shown below, the sides AB and CD are parallel. M is the Mid point of the side BC.
The lines DM and AB extended, meet at N.
[tex]\large\sf\color{Aqua}\underline{Questions}[/tex]
i) Are the areas of ∠DCM and ∠BMN equal?why?
ii) What is the relation between the areas of the quadrilateral and the triangle ADN?
Answer:
Given:
DC ║ ABCM = MB as M is midpoint of BCi) Since DN and BC are transversals, we have:
∠DCM ≅ ∠NBM and∠CDM ≅ ∠BNM as alternate interior anglesAs two angles and one side is congruent, the triangles are also congruent:
ΔDCM ≅ ΔNBM (according to AAC postulate)So their areas are same.
ii)
The quadrilateral has area of:
A(ADCB) = A(ADMB) + A(DCM)And the triangle has area of:
A(ADN) = A(ADMB) + A(NBM)Since the areas of triangles DCM and NBM are same, the quadrilateral ADCB has same area as triangle ADN.
Answer:
I think I have proved it before you asked this question before also.
Step-by-step explanation:
SEE the image for solution.
HOPE it helps
Have a great day
sinx =căn 2/3
sinx=5/4
sinx =1
sin3x=can3/2
sin(x-60)=-1/2
sin3x=1/2
Answer:
Correct option is
B
0
D
−1
sinx+sin2x+sin3x
=sin(2x−x)+sin2x+sin(2x+x)
=2sin2xcosx+sin2x [ by using sin(A+B)=sinAcosB+sinBcosA and sin(A−B)=sinAcosB−sinBcosA ]
=sin2x(2cosx+1)........(i)
cosx+cos2x+cos3x
=cos(2x−x)+cos2x+cos(2x+x)
=2cos2xcosx+cos2x [By using cos(a−b)=cosa⋅cosb+sina⋅sinb and cos(a+b)=cosa⋅cosb−sina⋅sinb]
=cos2x(2cosx+1).....(ii)
∴(sinx+sin2x+sin3x)
2
+(cosx+cos2x+cos3x)
2
=1
sin
2
2x(2cosx+1)
2
+cos
2
2x(2cosx+1)
2
=1.......[From(i)(ii)]
⇒(2cosx+1)
2
=1
⇒2cosx+1=±1
∴cosx=0or−1
ZABC and ZDEF are complementary angles.
What is the measure of x?
А,
С X = [?]°
549
D
B
Х
>F
Answer:
x = 36
Step-by-step explanation:
Complementary angles add to 90 degrees
54+x = 90
x = 90-54
x = 36
Answer:
IF ABC and DEF are complementary then ABC + DEF = 90°
Therefore, DEF = 90° -ABC
Since DEF = 54° and DEF = x then
x = 90° -54°
x = 36°
Step-by-step explanation:
You are setting out snacks for some friends to come over. You have 18 crackers and 12 slices of cheese. If you want each plate to be identical, with no food left over, what is the greatest number of plates you can prepare? How many crackers will be on each plate? How many slices of cheese will be on each plate?
The concept of greatest common factor is used to solve this question. Then, we use it to find the number of crackers and slices of cheese, and the answer is:
The greatest number of plates you can prepare is 6.Each plate will have 3 crackers.Each plate will have 2 slices of cheese.--------------------------------
To find the greatest number of plates, you need to find the greatest common factor between 12 and 18.
Thus, factoring them, always by the same number:
12 - 18|2
6 - 9|3
2 - 3
The greatest common factor is 2x3 = 6, which means that the greatest number of plates you can prepare is 6.
--------------------------------
18 crackers, so each plate has 18/6 = 3 crackers.
12 slices of cheese, so each plate has 12/6 = 2 slices of cheese.
A similar question is given at https://brainly.com/question/18454593
6.17 greater or less 61 87/100
Answer:
Less
Step-by-step explanation:
[tex]6.17 < 6.187 [/tex]
Helppppp me plss, I’ll mark u as brainlest
[tex] \large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]
We know that, in ∆ABC,
∠A+∠B+∠C = 180°
But the triangle is right angled at C
ie., ∠C = 90°
Therefore, ∠A+∠B+ 90° = 180°
⇒ ∠A + ∠B = 90°
Therefore, cos(A + B) = cos 90º = 0
x3+ 8
a3+125
27a3+125b3
porfa lo nesecito para hoy
Answer:
x³+8 = x³+2³ = (x+2)(x²-2x+4)
a³+125 = a³+5³ = (a+5)(a-5a+25)
27a³+125b³
= (3a)³+(5b)³
= (3a+5b)(9a²-15ab+25b²)
PLEASE HELP! I'M TIMED
Which phrase represents this expression?
(62−42)×3
3 times the difference of 62 and 42
3 times the difference of 42 and 62
the difference of 62 and the product of 3 times 42
the difference of the product of 3 times 42 and 62
Solving expression
[tex]\\ \rm\Rrightarrow (62-42)3[/tex]
[tex]\\ \rm\Rrightarrow 3(20)[/tex]
[tex]\\ \rm\Rrightarrow 60[/tex]
Answer:
3 times the difference of 62 and 42
Step-by-step explanation:
(62−42)×3
The difference of 62 and 42 times 3
