A rectangle is formed by placing two identical squares side by side. The area of the rectangle is 162 cm2
Answer:
a) The area of each square is 81 square centimeters.
b) The side length of the square is 9 centimeters.
c) The perimeter of the rectangle is 54 centimeters.
Step-by-step explanation:
Statement is incomplete. After some web research we conclude that the complete statement is the following:
A rectangle is formed by placing two identical squares side by side. The area of the rectangle is 162 square centimeters. Find:
a) The area of each square.
b) The side length of each square.
c) The perimeter of the rectangle.
a) The area of the each square is half the area of the rectangle. Hence, the area of each square is 81 square centimeters.
b) The area formula for squares ([tex]A[/tex]), in square centimeters, is:
[tex]A = l^{2}[/tex] (1)
Where [tex]l[/tex] is the side length of the square, in centimeters.
If we know that [tex]A = 81\,cm^{2}[/tex], then the side length of the square is:
[tex]l = \sqrt{A}[/tex]
[tex]l = \sqrt{81\,cm^{2}}[/tex]
[tex]l = 9\,cm[/tex]
The side length of the square is 9 centimeters.
c) The perimeter formula of the rectangle ([tex]p[/tex]), in centimeters, is presented below:
[tex]p = 6\cdot l[/tex]
[tex]p = 6\cdot (9\,cm)[/tex]
[tex]p = 54\,cm[/tex]
The perimeter of the rectangle is 54 centimeters.
Lyle bought 6 bell pepers for $11.34. What was the cost of 1 bell pepper?
Answer:
$1.89
Step-by-step explanation:
11.34/6= $1.89 for one bell pepper
Can someone please help mweeeeeee
Answer:
D
Step-by-step explanation:
180 degrees in a triangle
102+(x+6)+(x+15)=180
remove parenthesis and combine like terms
123+2x=180
subtract 123 from both sides
2x=57
divide
x=28.5
substitute x for its actual value
28.5+6
angle A= 34.5
28.5+15
angle B= 43.5
If a right triangle has side lengths that measure 4 and 9, what is the length of the hypotenuse to the nearest hundredth (2 decimal places)?
Find the value of that makes ADEFAXYZ.
18
24
E
5
8
6
D
F
X
Z
6x + 6
30
Answer:
x = 2/3
DF = 10
scale factor of ΔDEF to ΔXYX is 1:3
Step-by-step explanation:
DF corresponds to XZ and DE corresponds to XY so we can set up a proportion:
6x+6/30 = 8/24
simplify 8/24 to be 1/3
6x+6/30 = 1/3
cross-multiply:
3(6x+6) = 30
18x + 18 = 30
18x = 12
x = 12/18 or 2/3
FIND RS
A-1
B-8
C-17
D-27
Answer:
C-17 I think my bad
Step-by-step explanation:
Answer:
we have:
10*(9x-1+10)=9(9+11)
10(9x+9)=9*20
9(x+1)=9*20/10
x+1=18/9
x+1=2
x=2-1
x=1
Now
RS:9×1-1=8
At the end of January, Garrett had $176 in his
savings account. By the end of February, he
had $217. To the nearest percent, what is the
percent change in the amount of money in
Garrett's savings account?
Answer:
bank account cant give me 5 bank name
Can I get a answer for all of it?
Answer:
R'=(-3,6)
Q'=(-3,-3)
S'=(7,6)
T'=(7,-3)
Answer:
see explanation
Step-by-step explanation:
A translation of 7 units right means adding 7 to the x- coordinate. The y- coordinate remains unchanged, then
Q (- 10, - 3 ) → Q' (- 10 + 7, - 3 ) → Q' (- 3, - 3 )
R (- 10, 6 ) → R' (- 10 + 7, 6 ) → R' (- 3, 6 )
S (0, 6 ) → S' (0 + 7, 6 ) → S' (7, 6 )
T (0, - 3 ) → T' (0 + 7, - 3 ) → T' (7, - 3 )
When a biological researcher arrived on Wombat Island, there were about 1000 wombats on the island. Their population grew quickly. Estimated Wombat Population Year 1 2 3 4 5 Wombats 1000 2000 4000 8000 16,000 The researcher decided that the population growth followed a geometric sequence. He wrote the explicit formula an = 1000(2)n – 1 to model the growth, and used this formula to predict the populations for years 6, 10, and 50.
Answer:
Yes
Step-by-step explanation: The explicit formula used: An = 1000(2)n - 1 is the correct formula. This is modeled as exponential growth with a common ratio of 2; which is correct based on the data given in the table.
The predicted population for year 50 is approximately [tex]1.1259[/tex] x [tex]10^18[/tex] wombats.
To predict the populations for years 6, 10, and 50 using the given explicit formula an = [tex]1000(2)^n[/tex] – 1, we can substitute the respective values of n and calculate the population.
For year 6 (n = 6):
a6 = [tex]1000(2)^6[/tex] – 1
a6 = 1000(64) – 1
a6 = 64,000 – 1
a6 ≈ 63,999
The predicted population for year 6 is approximately 63,999 wombats.
For year 10 (n = 10):
a10 = [tex]1000(2)^ 10[/tex]
a10 = 1000(1,024) – 1
a10 = 1,024,000 – 1
a10 = 1,023,999
The predicted population for year 10 is 1,023,999 wombats.
For year 50 (n = 50):
a50 = [tex]1000(2)^50[/tex] – 1
a50 = 1000(1.1259 x 10¹⁵ ) – 1
a50 = 1.1259 x 10¹⁸ – 1
a50 ≈ 1.1259 x 10¹⁸
The predicted population for year 50 is approximately 1.1259 x 10^18 wombats.
To know more about geometric sequence. here
https://brainly.com/question/29632351
#SPJ2
What is the best description of the relationship in the scatterplot below?
Chose 1 answer
A- positive linear association
B- negative linear association
C-Nonlinear association
D- no association
Answer:
a becuase it is just a so if you get that wroung dont blem me lol
Step-by-step explanation:
Answer:
A - Positive linear association
Step-by-step explanation:
You can see that the overall direction of the graph is going up, therefore, this graph has a postivie association.
find the value of x pls help
if u subtract 12 from a number and multiply the result by 12 you get 18. what is the number
Answer:
27/2 is the value of the number.
Let the number be x.
According to the question,
12(x-12)=18
x-12=18/12
x-12=3/2
x=3/2+12
x=3/2+24/2
x=27/2
HOPE IT HELP :)
Answer:
13.5 27/2 13 (1/2) all the same
Step-by-step explanation:
(x-12)x12 = 18
12x-144 = 18
12x = 162
x = 162/12 = 27/2 = 13(1/2) = 13.5
What is the value of the expression 1/3x - 3/4 when x = 1/4
Answer:
-2/3
Step-by-step explanation:
Find the missing measure angle
Answer:
Step-by-step explanation:
x+90+90+78=360(sum of 4 angles is always 360 degree)
x+258=360
x=360-258
x=102
Answer:
[tex] {x}^{o} = {102}^{o} [/tex]
Step-by-step explanation:
Hint:
sum of angles = 360°
Simplify:
[tex] {x}^{o} + {78}^{o} + {90}^{o} + {90}^{o} = {360}^{o} \\ {x }^{o} + 258^{o} = {360}^{o} \\ {x}^{o} = {360}^{o} - {258}^{o} \\ {x}^{o} = {102}^{o} [/tex]
Hope it is helpful....For the first four days of a five day vacation, the mean temperature was 80 degrees. What must the temperature be on the fifth day in order for the mean temperature to be 82 degrees?
Answer:
The 5th day must be 90
Step-by-step explanation:
The first 4 days averaged out to 80
You can find their total just by multiplying by 4. That won't tell you the exact values, but it will tell you their total when you add the 4 of them together.
80*4 = 320
Now you need to add another day into the mix. Call it x
320 + x
Now there are 5 days, not 4, and the new total is 82.
(320 + x) / 5 = 82 Multiply both sides by 5
5*(320 + x) / 5 = 82 *5
320 + x = 410 Subtract 320
-320 -320
x = 90
A rectangle has a length of
381
and a width of 33 inches. Find the area of the rectangle. (2 points)
HELP DUE IN 10 MINS!
Which equation has the following: Center (-7, 12) and radius 3.
A. (x−7)2 +(y − 12)2 = 9
B. (x+7)2 + (y - 12)2 = 3
C. (x+7)2 +(y + 12)2 = 3
D. (x+7)2 +(y − 12)2 = 9
Answer:
D
Step-by-step explanation:
(x+7)²+(y-12)²=9
____________
Answer:
[tex]\text{D. }(x+7)^2+(y-12)^2=9[/tex]
Step-by-step explanation:
The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
I MEEED HELPPP PLEASEEEEEE HELPPPPP PLEASE SOMEONE IM BEGGING UUUUU
Answer:
x= 10°
Step-by-step explanation:
BWN = BRN (W=R)
56+ (5x-16) +90 =180 {triangle BNW} [angles in a triangle add up to 180] ( properties of a kite)
5x = 180 - (56 + 90 - 16)
5x = 180 - 130
5x = 50
x =50/5
x = 10°
If you don’t help me your a criminal
Answer:
take angle U as reference angle
using sine rule
sin U=opposite/hypotenuse
sinU=42/42
sin U=1
sin 90=1
therefore the value of U is 90 degree
Step-by-step explanation:
DEFG is an isosceles trapezoid with bases FE and
GD. DE = 5x -2, and FG = 4x + 2. Find FG.
Answer:
FG is 18 units
Step-by-step explanation:
if the trapezoid is isosceles then DE = GF so we can create this equation:
4x + 2 = 5x - 2
4x = 5x - 4
-x = -4
x = 4
FG = 4(4)+2 which is 18
Round the answer as two decimal places
volume=?
Answer:
84.823=84.82 in. cubed
Step-by-step explanation:
Choose the best description of an irregular polygon
1. a polygon with equal sides.
2. a polygon with unequal sides and angles
3.a polygon with unequal sides
4.a polygon with unequal angles
Answer: A polygon that does not have all sides equal and all angles equal.
Step-by-step explanation:A polygon that does not have all sides equal and all angles equal. (A polygon is "regular" only when all angles are equal and all sides are equal, otherwise it is irregular.)
The list below shows the number of train tickets sold each
week during an eight-week period.
2945, 4572, 3560, 3359, 4089, 2841, 3283,
4266
What is the range of the data?
Answer: The range is 1731
Step-by-step explanation: lowest number 4572- 2841 highest
. Shelly buys a dining room table that costs $950. The store has discounted the table 30%. She has a 25% off coupon to use after the store discount. How much does Shelly pay for the table?
Answer:
$498.75
Step-by-step explanation:
You multiply 950(.3) because you need to change the percent into a decimal by moving the decimal to the left two places. you should get 285. this is how much gets taken off
then subtract 950-285 because you need to find your remaining price. you should get 665
now, multiply 665(.25) because that is the percent that is being taken off. you should get 166.25
subtract 665-166.25 and you get 498.75
Three peopel are eitting on a bus . Eve is sested 15 feet directly behind kirk and 8feet directly left of amy .how far kirk is from amy
Answer:
17
Step-by-step explanation:
This seating creates a triangle, in which means we should use pythagoras theorem to solve it. Because 15 and 8 are both legs we need to square 15 and 8 and add them. After that we need to take the square root of it.
Steps:
15^2 + 8^2 = 289
sqrt289 = 17
Please help if you can
Answer:
9x-6=84(being vertically opposite angle )
9x=84+6
x=90/9
x=10
Step-by-step explanation:
note: vertically opposite angles are always equal.
5) A qué % anual se prestó un capital de 1700 soles que en 1 año y 3 meses ha producido 255 soles de interés?
Answer:
12%
Step-by-step explanation:
Interés simple = Principal × Tasa × Tiempo
Tasa = Interés simple / Principal × Tiempo
Principal = 1700 soles
Tiempo = 1 año y 3 meses
12 meses = 1 año
3 meses = 3/12 = 1/4 = 0.25
Tiempo = 1.25 años
Tasa = 255 /1700 × 1.25
= 0.12
= 0.12 × 100
= 12%
What is the measure of ZP
609
x 80°
F
40°
H
100
80
90°
40°
Answer:
100 degrees
Step-by-step explanation:
angle x is next to 80. the sum of angles that form a straight line = 180 degrees. So, 180-80 =100 degrees
two identical number cubes are shown in the picture. the edge length of the number cubes is 3 centimeters.
Which of the following rational functions is graphed below?