Answer:
area = (a + b)² = a² + 2ab + b²
Step-by-step explanation:
let side length = a + b
area of a square = side length × side length
⇒ area = (a + b)²
= (a + b)(a + b)
= a² + ab + ab + b²
= a² + 2ab + b²
The fully expanded expression for the area of a square with sides of length a + b is a² + 2ab + b².
The area of a square is given by the formula: Area = side × side.
In this case, the side of the square is a + b.
Therefore, the expression for the area of the square is:
Area = (a + b) × (a + b).
To fully expand this expression using the distributive property, we'll apply the FOIL method (First, Outer, Inner, Last):
Area = a(a + b) + b(a + b)
= a² + ab + ab + b²
= a² + 2ab + b².
So, the fully expanded expression for the area of a square with sides of length a + b is a² + 2ab + b².
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Please help
-
A company is making a steel reinforced concrete tunnel to prevent water from coming into the area. They are going to cover it with a protective coating.
They need to know the surface area of the tunnel to purchase the protective coating.
Calculate the surface area of the tunnel
The surface area of the cylinderical tunnel needed to purchase the protective coating is 452.16cm².
How to calculate the surface area?Your information is incomplete. Therefore, an overview of the surface area of a cylindrical tunnel will be given.
Let's assume that the radius is 4cm and the height is 7cm. The surface area of the tunnel will be:
= πr²h + 2πr²
= (3.14 × 4² × 7) + (2 × 3.14 × 4²)
= 351.68cm + 100.48cm
= 452.16cm²
In conclusion, the surface area is 452.16cm².
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The STEM Club is renting a pavilion at the amusement park. The number attending varies Inversely to the amount they must pay per person for the rental When 25 students attend, they must pay $17 per person. How many students need to attend if they want to pay under $12 per person? A) 34 B) 35 36 D) 37
The inverse variation of the STEM club implies that as the number of students increases, the amount reduces
The number of students is 35
How to determine the number of students?An inverse variation is represented as:
[tex]k = xy[/tex]
Where:
k represents the proportionality constant.
x represents the number of students, and y represents the amount
So, we have:
[tex]x_1 * y_1 = x_2 * y_2[/tex]
This gives
[tex]25 * 17 = x_2 * 12[/tex]
Evaluate the product
[tex]425 = x_2 * 12[/tex]
Divide both sides by 12
[tex]x_2 = 35[/tex]
Hence, the number of students is 35
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what’s the difference in the y-values of two point on a line called
20
7. Spiderman weighs 180 pounds. He can work out and gain
2 pounds a week. How many weeks, w, must he work out
until he weighs 226 pounds?
5?
Answer:
the answer is 23 take care now
Answer:
23 weeks
Step-by-step explanation:
226-180 to find out he needs to gain 46 pounds. then, we know he gains 2 pounds a week so, divide 46 by 2 to get 23.
Can someone help with this one
Answer:
C mate
Step-by-step explanation:
Answer:
i believe the answer is B
Step-by-step explanation:
PLS HELP ME ASAP WILL MARK THE BRAINLIEST
Answer:
Check images
Step-by-step explanation:
Gonna be completely honest, not confident in the third one but I tried my best.
Please help!!
Distance is the number of units between two integers.
Use number line to find the distance between each pair
of integers
Y=
X=
Z =
Answer: X=1 units
Y= 5 units
Z=3 units
Step-by-step explanation:
Answer:
X=1 units
Y= 5 units
Z=3 units
Step-by-step explanation:
Measure of each bisected angle of 60o is ___________
Answer:
30°
Step-by-step explanation:
The bisected angle of 60° will have a measure equal to half of it, which is 30°.
Using the quadratic formula to solve
Help me with this please and thanks
9514 1404 393
Answer:
89
Step-by-step explanation:
The arc intercepted by the inscribed 45° angle is twice that, 90°. The angle at x is half the sum of the intercepted arcs, so is ...
x = (90° +88°)/2
x = 89°
_____
Alternate solution
The inscribed angle intercepting the 88° arc will have half that measure, so is 44°. The triangle's exterior angle x will be equal to the sum of the remote interior angles:
x = 45° +44° = 89°
A city planner wanted to place the new town library at site A. The mayor thought that it would be better at site B. What transformations were applied to the building at site A to relocate the building to site B? Did the mayor change the size or orientation of the library?
The building at site A was translated _______ unit (s)right and _______ unit(s) down, then it was reflected across the x or y (select) - axis.
The size was or was not (select) changed.
The orientation was or was not (select) changed.
Answer:
2 right, 4 down, y-axis
Step-by-step explanation:
Reflection across the y-axis changes the left-right orientation. Reflection across the x-axis changes the up-down orientation. Translation before the reflection can put the figure in a place so that the reflection gives its final location. Translation does not affect the orientation.
__
We observe that the north-south wall is on the west side of the building at Site A, and on the right side at Site B. That means the orientation was changed left-to-right, so reflection was across the y-axis.
If the reflection occurred last, then the position before reflection must have the northeast corner moved from (-3, 5) to (-1, 1). That is, the x-coordinate is increased by 2, and the y-coordinate was decreased by 4.
The building at site A was translated 2 units right and 4 units down; then it was reflected across the y-axis .
Sumatra bought a loaf of bread 24 inches long. She cut it into two pieces. If one piece is
9 inches, how long was the other piece?
Answer:
15
Step-by-step explanation:
24-9
A student ran a distance of 3 1 over 2 miles each day for 5 days. Then the student ran a distance of 4 1 over 4 miles each day for the next 5 days.
What was the total distance in miles the student ran during these 10 days?
Answer:
The answer is 25 3/4 miles in total of the 10 days
Answer: 25 3/4
Step-by-step explanation:
good luck
Answer:
the student ran 38 3/4 in 10 days
Step-by-step explanation:
first i did 3 1/2 x 5=17 1/2
then i did 4 1/4 x 5=21 1/4
last i did 17 1/2 + 21 1/4=38 3/4
what is AxB and we know b=100 and a=? and than make a-78=679
Answer:
A × B = 60100
Step-by-step explanation:
B = 100
A = ?
A - 78 = 679
A = 679 - 78
A = 601
A×B=601×100
=60100
I need help finding the equation and graphing it.
Step-by-step explanation:
First find the slope with the equation y/x
80/50=8/5 (you want this in fraction form)
y-80=8/5(x-50)
y-80=8/5x-80
y=8/5x+0
the y-intercept is zero (so place a dot at the origin)
next, go up 8 values and then 5 to the right (5,8), continue to do this process until you have enough points to graph a line. (10,16), (15,24), (20,32)
Hope this helps!
PLEASE HELP again
-4(3-6)·(-3)²=______
Answer:
108
Step-by-step explanation:
[tex] - 4(3 - 6) \times ( - 3 {)}^{2} \\ = - 4( - 3) \times 9 \\ = 12 \times 9 \\ = 108[/tex]
find the qoutient of 144/5 you have 5 minutes be quick
Find the indicated measure.
Answer:
m pq = 103°
Solving steps:
Hey there!
According to the figure,
[tex]r = s \: \: \: \: \: \: \overline{pq} = 9[/tex]
So, [tex]m\overline{pq} = \frac{180 \times \overline{pq} }{x \times r} = \frac{180 \times 9}{x \times 5} [/tex]
[tex] = 103°[/tex]
[tex]Hence, m \: \overline{pq} = 103°[/tex]
1. Crestside Ambulance Service has a van with a 20 gallon fuel tank. To fill the tank required 8
5/10 gallons. How many gallons were in the tank before refueling?
The amount of gasoline that was in the tank before refilling it was 11.5 gallons. Due to the above, it lacked 8.5 gallons to refill it again.
How to calculate how many gallons were missing to fill the tank?To calculate how many gallons were left to refill the tank, you need to know how much gasoline was in the tank.
According to the statement, the tank required [tex]8 \frac{5}{10}[/tex] to fill up, then to know how much gasoline it had we must subtract this amount from the maximum capacity of gasoline that the tank requires as shown below:
[tex]8\frac{5}{10}[/tex] = 8.5 gallons
20 - 8.5 gallons
= 11.5 gallons
Based on the above, the number of gallons in the tank was 11.5 gallons of gasoline.
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Three times the complement of an angle is 68° more than the supplement of the angle. Find the angle. Solve for y
[tex]3 \times 22 > 180 - y[/tex]
[tex]66 > 180 - y[/tex]
Plus sides y
[tex]66 + y > 180 - y + y[/tex]
[tex]y + 66 > 180[/tex]
Subtract sides -66
[tex]y + 66 - 66 > 180 - 66[/tex]
[tex]y > 112[/tex]
Also :
[tex]y < 180[/tex]
Thus ;
[tex]112 < y < 180[/tex]
How would you do this problem
Hence : According to the given explaination in the image our answer would be 50°.
3/13 Drawing a card below a 5 (not including an Ace)
O True
O False
Answer:
True
Step-by-step explanation:
Maths
Answer:
False
ksfndkvnf
dnkvn[d
snvkndf
Fasle
Step-by-step explanation:
(2x – 18) °
thats the equation
What is X?
Factor 2x−18
2x−18
=2(x−9)
Answer:
2(x−9)
Given: ∠A and ∠B are supplementary angles.
m∠A=4x−16; m∠B=2x+4
Prove: m∠B=68°
Drag and drop reasons into the boxes to correctly complete the proof.Given: ∠A and ∠B are supplementary angles.
m∠A=4x−16; m∠B=2x+4
Prove: m∠B=68°
Drag and drop reasons into the boxes to correctly complete the proof.
Answer:
Step-by-step explanation:
Statements Reasons
∠A and ∠B are supplementary Given
m∠A = (4x - 16), m∠B = (2x + 4) Given
m∠A + m∠B = 180° Definition of supplementary angles
4x - 16 + 2x + 4 = 180° Substitution property of equality
6x - 16 + 4 = 180 Simplify
6x - 12 = 180 Simplify
6x = 192 Addition property of equality
x = 32 Division property of equality
m∠B = 2(32) + 4 Substitution property of equality
m∠B = 64 + 4 Simplify
m∠B = 68° Simplify
Divide.
−3/8÷−6/7
A.−7/16
B.−9/28
C.9/28
D.7/16
Answer:
-7/16
Step-by-step explanation:
Write an equation of the line with a slope of 4/5 and y-intercept of 0
Answer:
y = [tex]\frac{4}{5}[/tex] x
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{4}{5}[/tex] and c = 0 , thus
y = [tex]\frac{4}{5}[/tex] x ← equation of line
A die is thrown twice. What is the probability of scoring a 3 followed by a 4
Answer:
1÷36=(1/36)
Step-by-step explanation:
ez
Can someone help me with this question??? WIll Mark brainiest!!!!!!!!!!!!!!!
Answer:
99y[tex]d^{2}[/tex]
Step-by-step explanation:
Answer:
90yd²
Step-by-step explanation:
Area pf trapezium = 1/2 * (sum of parallel sides) * perdendicular distance b/w them.
Here,
Sum of II sides = 11 + 9yd = 20yd
Perpendicular distance = 18 yd
So, area of trapezium is
1/2 * 20yd * 18yd = 180yd²
As the triangle inscribed is right - angled triangle, area of ∆ = 1/2 * 10yd * 18yd = 90yd²
Shaded area = total area - area of ∆
= 180yd² - 90yd²
= 90yd²
A bicycle company needs to ship 328 bicycles across country. If they can fit 50 bicycles per truck, about how many trucks do they need?
A) 3
B) 5
C) 7
D) 10
Answer:
c) 7
Step-by-step explanation:
328/50 + 6.6
you have to round up to fit all the bicycles
A photo is reduced with a scale factor of 1 to 3. If the photo is now 4 inches wide, how wide was the original photo? Show the math.
Answer:
12 inches wide.
Step-by-step explanation:
It is reduced to a 1:3 factor. where 1 is the new length and 3 is the old length. We can write a proportion [tex]1:3=4:x[/tex]. Now, if four numbers are in a proportion we can cross-multiply and we get [tex]1x=3\cdot 4 \rightarrow x = 12[/tex].