Given:
Length of the painting = 12 inches
Width of the painting = 10 inches
To find:
The area of the rectangular painting by using Distributive Property to decompose the factor 12.
Solution:
The area of a rectangle is
[tex]A=length\times width[/tex]
So, the area of the rectangular paining is
[tex]A=12\times 10[/tex]
Using Distributive Property to decompose the factor 12, we get
[tex]A=(10+2)\times 10[/tex]
[tex]A=(10\times 10)+(2\times 10)[/tex]
[tex]A=100+20[/tex]
[tex]A=120[/tex]
Therefore, the area of the rectangular painting is 120 square inches.
Find the slope of the linear function. Helpp
Tony and Edwin each built a rectangular garden. Tony's garden is 4 feet longer and 5 feet wider than Edwin's garden. If the perimeter of Edwin's garden is 36 feet, what is the perimeter of Tony's garden?
Answer:
54 feet
Step-by-step explanation:
Perimeter of a rectangle = 2 × (length + breadth)
The perimeter of Edwin's garden is 36 feet :
36 = 2 x (length + breadth)
divide both sides by 2 to determine the sum of the length and breadth of Edwin's garden
36/2 = (length + breadth)
18 = (length + breadth)
Tony's garden is 4 feet longer and 5 feet wider than Edwin's garden
The dimensions of Tony's garden is :
(4 + l) + (5 + w) = 9 + l + w
Where :
l = length
w = width
The sum of the length and breadth of Tony's garden would be 9 feet more than that of Edwin
Sum of Edwin's garden = 9 + 18 = 27
Perimeter of Edwin's garden = 27 feet x 2 = 54 feet
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Answer:
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Find the radius of a circle that has a circumference of 16
The formula for the circumference of a circle is C = 2.
where r is the radius and C is the circumference. The
TE
equation solved for r is r =
27
O r=4
O r= 8
O r= 12
O r= 16
Answer:
The circumference of a circle is equal to π , which is a number ≈3.14 , multiplied by the diameter of the circle. Therefore ... We also know that the diameter has twice the length of the radius. In equation form: 2r=d. 2r=16. r=8. Note that since 2r=d , the equation C=2πr holds and can be used in place of C=πd .
Step-by-step explanation: The circumference of a circle is equal to π , which is a number ≈3.14 , multiplied by the diameter of the circle. Therefore ... We also know that the diameter has twice the length of the radius. In equation form: 2r=d. 2r=16. r=8. Note that since 2r=d , the equation C=2πr holds and can be used in place of C=πd .
Hey, this is an ape3x question id really appreciate it if someone could help me on this..
Answer:
<4 and <8 are corresponding angle
Can someone help me with this question please? Many thanks in advance.
Jack, Alex and Amir jumped a total of 12.69 m in a long
jump competition.
Alex jumped exactly 200 cm further than Jack.
Amir jumped exactly 2,000 mm further than Alex.
What distance did they all jump?
Give your answers in metres.
Answer:
Step-by-step explanation:
The distances they jumped were
x,y,z
y=x+2
z=x+2+2=x+4
x+y+z=12.69
x+x+2+x+4=12.69
3x+6=12.69
3x=6.69
x=2.23
So Jack jumped 2.23m, Alex jumped 4.23m, and Amir jumped 6.23m.
What is the exact volume of the cone? A. 40n cm3 B. 80/3 n cm3 C. 160/3 n cm3 D. 160n cm3
Answer:
167.55
Step-by-step explanation:
Formula - V = [tex]\pi r^2\frac{h}{3}[/tex]
V = [tex]\pi (4)^2\frac{10}{3}[/tex]
V = 167.55
On weekends Mike earns $15 per hour, or 1.5 times his regular wages. Which of the equations below could be used to find Mike's regular hourly wage (w)?
A $15w = 1.5
B 1.5w = $15
C. 1.5 / w = $15
D. w/1.5 = $15
E. $15 - w =1.5
Answer:
THE ANSWER IS B
Step-by-step explanation:
he earns 15$ or as the question states
1.5xw=15 or 1.5w=15
Answer:
b
Step-by-step explanation:
1.5 multiplied by the w = 15 (his current wage)
Help me pls and thank you
just chose the last one 75% are stars
With instructions too please
Answer on pic above
Hope this helps
출
Enter the difference as a mixed number,
10
Pls help me
Answer:
4 4/5Step-by-step explanation:
6 5/10 - 1 7/10
= (6 - 1) + (5/10 - 7/10)
= 5 + 5 - 7/10
= 5 + -2/10
= 5 + -2 ÷ 2/10 ÷ 2
= 5 + -1/5
= 4 4/5
Extra:
Can i hav brainliest plz it would help alot :D
PLEASE HELP !!!!
The original price of a sofa is $500.
a. If the sofa price decreased by 20%, what is the new price?
b. The company can’t sell the sofa after 3 weeks so they reduce the price to $320. What is the percent decrease?
c. If the company reduces the price in week 4 to $290, what is the percent decrease?
Answer:
A. $400
b. %36
c. %42
Step-by-step explanation:
Answer:
A. $400
b. %36
c. %42
Step-by-step explanation:
After sales tax, an $81 cell phone costs $84.24. What is the sales tax percentage?
Answer:
4%
Step-by-step explanation:
On a map 3 cm represents 21 km. What is the
length of a road in cm if the actual length of the
road is 105 km?
Answer:
`5 centemeters.
Step-by-step explanation:
Just divide the KM by 7 since 21 divided by 3 is 7. So dividing 105 by 7 gives you 15. HOPE THIS HELPS! :)
(5y+1)²-4(y-1)² how to solve it
Answer:
[tex](5y + 1)^{2} - (2(y - 1))^{2} [/tex]
Step-by-step explanation:
1) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y - 1 ).
[tex](5y + 1) ^{2} - (2(y - 1)) ^{2} [/tex]
2) Use multiplication Distributive Property: (xy)^a = x^a y^a.
[tex](5y + 1)^{2} - {2}^{2} (y - 1 {)}^{2} [/tex]
3) Simplify 2² to 4.
[tex](5y + 1 {)}^{2} - 4(y - 1 {)}^{2} [/tex]
4) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y-1).
[tex](5y + 1 {)}^{2} - (2(y - 1))^{2} [/tex]
Therefor, the answer is ( 5y + 1 )² - (2( y - 1 ))².
2/5+3/8= i will give brainliest
I’m so confused & I don’t get this at all. Can someone please help me. I’ll give brainliest!
Answer:
So, basically AB goes through (bisects) CAD, which CAD is the kite-like shape you see. So line AB goes through line CAD. Now what they what you to do is prove if lines AB and lines AC are equal.
The first of two numbers added to two times the second equals 9. The first number decreased by the second equals 3. Find the numbers.
Answer:
18 and 6
Step-by-step explanation:
i know this because all you have to do is multiply the tow numbers by 2
find the value of x please :)
Answer:
48
Step-by-step explanation:
180-(90+42)
Work out the value of angle x.
Х
62°
Answer:
62 grados x
Step-by-step explanation:
Answer:
because the first side equal for the second side this means that this triangle is isosceles
so 62+62=124
sum of the angles of any triangle =180
180°-124=56degree
(-2x^-4)^-4 * (2^2)^0 solve the integer equation
Answer:
= 1/16x^16
Step-by-step explanation:
W/20=-2.5? What it the w?
Answer:
w=-50
(negative fifty)
Step-by-step explanation:
Twice one number added to another umber is 18. If the second number is equal o 12 less than 4 times the first number, find the two numbers.
If a large factory sells its new gadgets for $5 each, it can sell 1050 per month, and if
it sells the same gadgets for $9, it will sell 900 per month. To the nearest whole
number, how many gadgets could be sold per month, if the price was $12?
Ecuacion de la recta que pasa por el punto donde se cortan las rectas X+4Y=0 y X-3Y-7=0 y que tiene como pendiente -6
Answer:
La ecuación de la recta es [tex]y = -6\cdot x +23[/tex].
Step-by-step explanation:
Para construir la ecuación de la recta podemos utilizar un punto contenido en la recta y su pendiente. En primer punto, hallamos el punto con la resolución del siguiente sistema de ecuaciones lineales:
[tex]x+4\cdot y = 0[/tex] (1)
[tex]x-3\cdot y = 7[/tex] (2)
La solución del sistema de ecuaciones es [tex](x,y) = (4,-1)[/tex].
Por Geometría Analítica, sabemos que la Ecuación de la Recta en su forma explícita es:
[tex]y = m\cdot x + b[/tex] (3)
Donde:
[tex]x[/tex] - Variable independiente.
[tex]y[/tex] - Variable dependiente.
[tex]m[/tex] - Pendiente.
[tex]b[/tex] - Intercepto.
Si sabemos que [tex](x,y) = (4,-1)[/tex] y [tex]m = -6[/tex], entonces el intercepto de la recta es:
[tex]b = y-m\cdot x[/tex]
[tex]b = 23[/tex]
Ahora, la ecuación de la recta es [tex]y = -6\cdot x +23[/tex].
what is the m<2 = ?
Answer:
m∠2=9
Step-by-step explanation:
Hello There!
The problem states that the angles are complementary angles
Complementary angles are angles that have measures that add up to equal 90
So given one of the angles we can find the missing angle by subtracting the known angle from 90
90 - 81 = 9
so we can conclude that the measure of angle 2 is 9
Can you guys pls pls help me
Answer:
21: 37
They are the opposite side exterior angles
22: 40
23: 126
They are the opposite side exterior angles
24: 1
25: 12
90 - 48 = 42
42 = 3x + 6
36 = 3x
12 = x
26: 41
180 - 139 = x
41 = x
27: 140
180 - 40 = 140
28: 68
90 - 22 = 68
29: False
Complementary angles add up to 90 degrees
Hope this helps!
Factor 9-4y^2
pls help... again
Answer:
9-16y
Step-by-step explanation:
Answer:
(3 + 2y)(3 - 2y)Step-by-step explanation:
Use formula:
a² - b² = (a + b)(a - b)Factor:
9 - 4y² = 3² - (2y)² = (3 + 2y)(3 - 2y)8. If the figure has rotational symmetry, find the
angle of rotation about the center that results in
an image that matches the original figure.
A. 90°
B. 120°
C. 210°
D. no rotational
symmetry
Answer:
120
Step-by-step explanation:
PLEASE HELP ASAP PLEASE WILL GIVE BEST RATE AND BRAINLEST PLEASE
Answer:
I think it's 145.225 sq in.
Step-by-step explanation:
2.5 x 2 x 3.14 = 15.7
15.7 x 9.25 = 145.225
Answer:
its the second one
Step-by-step explanation:
2.5 x 2 x 3.14 = 15.7 because 3.14 is pi
and then do
15.7 x 9.25 = 145.225 so there you go