Answer:
a² + 4ab + 4b²
Step-by-step explanation:
Given
(a + 2b)²
= (a + 2b)(a + 2b)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a + 2b) + 2b(a + 2b) ← distribute both parenthesis
= a² + 2ab + 2ab + 4b² ← collect like terms
= a² + 4ab + 4b²
The mean weight for team A with 15 members is 140 pounds, the mean weight for team B with 7 members is 135 pounds, and mean weight for team C with 20 members is 160 pounds. The overall mean weight for all three teams is
Answer:
86.74 pounds
Step-by-step explanation:
Team A
The mean weight for team A with 15 members is 140 pounds
Total weight for Team A = Mean × number is members
= 15 × 140 pounds
= 2100 pounds
Team B
The mean weight for team B with 7 members is 135 pounds
Total weight for Team B = Mean × number is members
= 7 × 135 pounds
= 945 pounds
Team C
Mean weight for team C with 20 members is 160 pounds.
Total weight for Team C = Mean × number is members
= 20 × 160 pounds
= 3200 pounds
The total number of members from the 3 teams =( 15 + 7 + 20) members
= 42 members
The total weight in pounds from the 3 teams = (2100 + 945 + 3200)
= 6245 pounds
The overall mean weight for all three teams is calculated as:
6245/42 members
= 86.736111111 pounds
Approximately = 86.74 pounds
Find the value of x.
540
x
1420
Answer:
x=88 degrees
Step-by-step explanation:
the angle opposite x and 54 is 38 degrees. if one angle is 54, one is 38, add those together, subtract from 180 and you get 88.
Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning.
Answer:
Yes he is right. He has to move one step behind to get an award.
Step-by-step explanation:
Here is the full question:
Lin’s uncle is opening a bakery. On the bakery’s grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake.
To answer the above question, we already know that Diego is standing in the 23rd position and it is said that every 12th customer will get a free slice of carrot cake. Therefore, those on position 12, 24, 36, 48, . . . will get this award. Simply put, those in positions that are multiples of 12.
Since Diego is thinking of moving farther backwards to get an award, then he is right. Also, he has to move just one step behind to be in a multiple of 12, that is move from 23 to 24, to get an award.
I'm not sure with this pls help....asap....I really need help fasttt please.....I'll mark brainliest!!!!!!
Answer:
Im pretty sure the first is -2 and -3. then -4 and-10
Step-by-step explanation:
thats all i know srry
1)
First box: -10
Second box: -2
Plug in the corresponding numbers to the corresponding boxes:
[(-10)/(-2)]/5 = 1
Simplify. First, solve the bracket. Note that when you divide two negative numbers, the answer will be positive.
(-10)/(-2) = 5
Next, divide the brackets:
[5]/5 = 1
1 = 1 (True)
2)
First box: -5
Second box: -3
Plug in the corresponding numbers to the corresponding boxes:
[5 - (-5)]/[(-3) + 8] = 2
Simplify. First, solve the brackets, then divide:
[5 - (-5)] = [5 + 5] = 10
[-3 + 8] = [8 - 3] = 5
Divide:
10/5 = 2
2 = 2 (True)
3) Use the last two numbers:
First box: -11
Second box: -4
Plug in the corresponding numbers to the corresponding boxes:
(-([-11]) x 2)/(6 + [-4]) = 11
-(-11 x 2)/(6 - 4) = 11
-(-22)/(2) = 11
22/2 = 11
11 = 11 (True).
~
2-3 Additional Pracitce
Parallel Lines and Triangle Angle Sums
Exercises 13-15
Answer:
13. The measure of a is 35°
14. The measure of b is 74°
15. The measure of c is 66°
Step-by-step explanation:
In the given figure
13.
∵ The sum of the measures of the interior angles of a triangle is 180°
∴ 33° + 112° + a = 180°
→ Add the like terms in the left side
∴ 145° + a = 180
→ Subtract 145° from both sides
∵ 145° - 145° + a = 180° - 145°
∴ a = 35°
14.
∵ a, 71° and b formed a straight line
∵ The sum of the measures of the linear angles is 180°
∴ a + 71° + b = 180°
→ Substitute the value of a
∴ 35° + 71° + b = 180°
→ Add the like terms in the left side
∴ 106° + b = 180°
→ Subtract 106° from both sides
∵ 106° - 106° + b = 180° - 106°
∴ b = 74°
15.
∵ The sum of the measures of the interior angles of a triangle is 180°
∴ 43° + 71° + c = 180°
→ Add the like terms in the left side
∴ 114° + c = 180°
→ Subtract 114° from both sides
∵ 114° - 114° + c = 180° - 114°
∴ c = 66°
In ΔKLM, the measure of ∠M=90°, LK = 89, ML = 80, and KM = 39. What ratio represents the tangent of ∠K?
Very Easy Question) Round 571,984 To The Nearest 100 ! )
Answer:
572,000 thats your answer
Answer:
572,000
Step-by-step explanation:
7 cm 4 cm 2 cm
the last one is a 2 cm
Answer:
56cmSq
Step-by-step explanation:
4*7*2
4*7 = 28
28*2 = 56
In ΔSTU, s = 730 cm, t = 270 cm and ∠U=125°. Find the length of u, to the nearest centimeter.
Answer:912
Step-by-step explanation:
deltamath
can u please answer the question
Answer: 6 pieces
=======================================================
Explanation:
3/4 = 6/8 after multiplying both parts by 2
We have a ribbon that is 6/8 of an inch long. We want to cut it into 1/8 inch pieces. We can see there will be exactly 6 pieces
Note how 6*(1/8) = 6/8
Or we can think of it as "we have a ribbon that is 6 units long and we want to cut it into pieces that are 1 unit each, so we'll have 6 pieces total". Replace "unit" with "1/8 inch" and you'll have the same idea.
Answer:
6 pieces
Step-by-step explanation:
1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 6/8 = 3/4
how are the graphs of y=2x+1 and y=-2x+1 similar? how are they different?
We want to compare the graphs of the two given linear equations, we will find that they have the same y-intercept but opposite slopes.
Linear equations:
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Here the two equations are:
y = 2*x + 1y = -2*x + 1So you can easily see that the two equations have the same y-intercept but opposite slopes.
So both of them pass through the point (0, 1) and both are lines, these are the similarities.
And the difference is that the slopes are just different.
If you want to learn more about linear equations you can read:
https://brainly.com/question/14323743
10. The perimeter of a rectangle is 96m. Its length is double its breadth. Find its length and breadth.
11. Observe the following and identify the type of angles in them.
Answer:
breadth=16cm and length=32cm
Let breadth be X
According to question,
lengtg=2X
Now,
Perimeter=2(l+b)
or,96=2(2X+X)
or,96=2(3X)
or,96=6X
or,96/6=X
or,X=16cm.
length =32 cm and breadth =16 cm
Answer:
length = 32 cm, breadth = 16 cm
Step-by-step explanation:
let breadth be b then length is 2b, then
2b + 2(2b) = 96
2b + 4b = 96
6b = 96 ( divide both sides by 6 )
b = 16
Thus
breadth = 16 cm and length = 2 × 16 = 32 cm
If any one knows French math I need help
Answer:
I dont speak french but if you translate it for me Im pretty sure I could most definitely solve this :)
Step-by-step explanation:
Which expression is equivalent to -8x^6/ 4x^-3
Answer:
Step-by-step explanation:
It’s 4x^3+(x2)(x-4)b.-4(x^3-2)+x...
x^2y-7xy^2 + 5x +y^6
The degree of the polynomial is
Answer:
6
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST!!
Answer:
yellow
Step-by-step explanation:
The points on the graphs represent relations. Classify these relations according to whether or not they are functions.
Answer:
1 and 2 is a function.But the third one isn't.
explanation:
When there is more than one point on a vertical line that is not a function.Like in the third picture points (2,1) and (2,-1) are on the same vertical line.
P.S: it is a function if there is more than one point on a horizontal line.
Why you may ask:
x are the domain, y are the codomain. X can have multiple Y but Y can't have more than one X. To embody: think Xs as mothers and Ys as childrens , a mother can have more than one children but every children can have only one biological mother.
ldentify the slope of the line y = 4.
pls help meh again ill give brainliest i gave it last time so yeh pcture in question
Answer:
4.6%
Step-by-step explanation:
Percentage = [tex]\frac{5.05-4.82}{5.05}*100[/tex]
[tex]= \frac{0.23}{5.05}*100\\\\= 4.55[/tex]
= 4.6 %
Answer:
4.55445545% or 4.6% rounded to nearest tenth
Step-by-step explanation:
((5.05 - 4.82) / 5.05) * 100
PLS HELP ASAP I DONT HAVE TIME IT ALSO DETECT IF ITS RIGHT OR WRONG!!
Answeefefeefefeefefe
lanation:
anwer it on ur, own nah im just kidding bruh i gatchu
i think it would be 24.3 because the shadow is being cast farther than the tree to you would want to divide the shadow of the mailbox by the actual height of the mailbox then times that by tree
Simplify the expression.
35(12)(5)
1. 5/36
2. 36
3. 12/5
4. 36/5
Answer: The answer is 36/5?
Step-by-step explanation:
Convert 7 months into days.
Answer:
212 days are in 7 months
Answer:210 days in 7 months
Step-by-step explanation:
EXERC
1. Calculate the volume of the shape below:
1 CM
3.5 cm
10 cm. how do u calculate the cylinder
Answer:551.3212cm³
Step-by-step explanation:
Find the image attached
The volume is made up of a cone, cylinder and a hemisphere
Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere
Get the volume of the cone;
Volume of a cone Vc = 1/3πr²h
r is the base radius = 3.5cm
Height = 10cm
Vc = 1/3π(3.5)²(6)
Vc = 1/3π(12.25)(6)
Vc = 12.25 * 2π
Vc = 24.5π cm³
Get the volume of the cylinder;
Vcy = πr²h
r = 3.5cm
h = 10cm
Vcy = π(3.5)²(10)
Vcy = π(12.25)(10)
Vcy = π(122.5)
Vcy = 122.5π cm³
Get rhe volume of the hemisphere;
Volume of hemisphere = 2/3 πr³
r = 3.5cm
Vh = 2/3 π(3.5)³
Vh = 2/3π(42.875)
Vh = 28.58π cm³
Volume of the shape = VC + Vcy + Vh
Volume of the shape = 24.5π+122.5π+28.58π
Volume of the shape = 175.58π
Volume of the shape = 551.3212cm³
Pls help me!asap and have a good day tysm......
Answer:
Simplified: C/2 -4
Step-by-step explanation:
the "/" means fraction
(1 pt
Find a formula for P = f(t), the size of the population that begins in year t=0 with 2140 members and decreases at a 3.8% annual rate. Assume
that time is measured in years
Answer:
The formula f(t) will be:
[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]
Step-by-step explanation:
We know that exponential decline in Maths can be termed as a consistent reduction of an amount by percentage over a certain period of time.
It can be expressed using the formula
[tex]f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]
here
f(t) represents the final amount
a represents the original amount
b represents the decay factor
t represents the amount that has passed
Now, map our problem using the same concept formula
as
2150 members are at the beginning, so
a = 2150
as the size of the population has been experiencing an annual decline of 3.8%. so
b = 3.8%= 0.038
so substituting b = 0.038 and a = 2150
[tex]P=f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]
[tex]\:f\left(t\right)=2150\left(1-0.038\right)^t[/tex]
[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]
Therefore, the formula f(t) will be:
[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]
help me with this please
Answer:
A baseball diamond is a square with sides of 90 feet. What is the distance to the nearest tenth of a foot between home and second base?
Step-by-step explanation:
127.3 feet This problem requires the use of pythagoras theorem. Ignore the face that it's a baseball diamond. All you're concerned with is that you have a square that's 90 feet per side and you want to know what the length of the diagonal. So you have a right triangle with 2 sides of 90 feet each and you want to know the length of the hypotenuse. The formula is C^2 = A^2 + B^2 Both A and B are 90, so plugging them into the formula gives C^2 = 90^2 + 90^2 = 8100 + 8100 = 16200 So C^2 = 16200 Take the square root of both sides C = 127.2792 Round to the nearest tenth, giving C = 127.3
What is the decimal expansion of the following fraction 1/5 A.0.2 B.1.5 C.0.2 D.0.15
A room is 12m 15m long and 8m 91 cm broad .The floor of the room is tobe paved with squared tiles find the lenght of the largest tile that can be used
Answer:
81 cm
Step-by-step explanation:
Length of a room = 12m 15cm
Width of a room = 8 m 91 cm
12 m 15 cm = 1200 cm + 15 cm = 1215 cm
8 m 91 cm = 800 cm + 91 cm = 891 cm
The floor of the room is tobe paved with squared tiles. We need to find the length of the largest tile that can be used.
To find it we can find the HCF of 1215 cm and 891 cm.
Prime factorization of 1215 = 3 x 3 x 3 x 3 x 3 x 5
Prime factorization of 891 = 3 x 3 x 3 x 3 x 11
HCF = 3 x 3 x 3 x 3
= 81
Hence, the length of the largest tile that can be used is 81 cm.
Please help i need an A
Answer:
(1) 820
(2) 1920
Step-by-step explanation:
(1) solving 20 x 41, using associative property.
20 * 41 = (2 x 10) x 41 = 2 x (10 x 41)
= 20 x 41 = 2 x 410
= 820 = 820
(2) distribute 32 as 30 + 2 and solve.
60 x 32
= 60 x (30 + 2) = 60(30) + 60(2)
= 1800 + 120
= 1920
Solve for x: x - 24 = 25 *
Answer:
x=49
Step-by-step explanation:
x - 24 = 25
If you add 24+25=49
You can check by subtracting 49-24=??
Hope that help.Add me.Also give me Brainiest Please