Answer: There is a total of 36 slices of pizza.
A rectangle has a perimeter of 6 feet.
Choose all the possible dimensions of the rectangle.
A. 1 foot by 2 feet
B. 1 foot by 5 feet
C. 2 feet by 1 foot
D. 2 feet by 4 foot
E. 3 feet by 3 feet
F. 4 feet by 2 feet
G. 5 feet by 1 foot
Option (A) 1 foot by 2 feet and option (C) 2 feet by 1 foot satisfy the perimeter given. Thus options A and C are correct.
What is a rectangle?"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles".
For the above situation,
The length of the rectangle be 'l'
The breadth of the rectangle be 'b'
Perimeter of the rectangle, P = 2(l+b)
Option A : 1 foot by 2 feet
Here, l = 1 feet and b = 2 feet
⇒ [tex]P=2(l+b)[/tex]
⇒ [tex]P=2(1+2)\\[/tex]
⇒ [tex]P=6[/tex]
This perimeter is equal to the perimeter of the rectangle. Thus option A is correct.
Option B : 1 foot by 5 feet
Here, l = 1 and b = 5 feet
⇒ [tex]P=2(1+5)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option B is not correct.
Option C : 2 feet by 1 foot
Here, l = 2 and b = 1 feet
⇒ [tex]P=2(2+1)[/tex]
⇒ [tex]P=6[/tex]
This perimeter is equal to the perimeter of the rectangle. Thus option C is correct.
Option D : 2 feet by 4 foot
Here, l = 2 and b = 4 feet
⇒ [tex]P=2(2+4)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option D is not correct.
Option E : 3 feet by 3 feet
Here, l = 3 and b = 3 feet
⇒ [tex]P=2(3+3)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option E is not correct.
Option F : 4 feet by 2 feet
Here, l = 4 and b = 2 feet
⇒ [tex]P=2(4+2)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option F is not correct.
Option G : 5 feet by 1 foot
Here, l = 5 and b = 1 feet
⇒ [tex]P=2(5+1)[/tex]
⇒ [tex]P=12[/tex]
This perimeter is not equal to the perimeter of the rectangle. Thus option G is not correct.
Hence we can conclude that option (A) 1 foot by 2 feet and option (C) 2 feet by 1 foot satisfies the perimeter given. Thus options A and C are correct.
Learn more about the rectangle here
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Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4). What is the y-coordinate of the midpoint of line segment YZ?
Given:
Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).
To find:
The y-coordinate of the midpoint of line segment YZ.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:
[tex]Midpoint=\left(\dfrac{-3+7}{2},\dfrac{-6+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{4}{2},\dfrac{-2}{2}\right)[/tex]
[tex]Midpoint=\left(2,-1\right)[/tex]
Therefore, the y-coordinate of the midpoint of line segment YZ is -1.
A cow is tethered with a rope 20 m long. What is the maximum area the cow can graze? with a decimal
Please help asap first correct answer will get the brainly crown
25x-22.5=12x+22.5+2x
Rewrite in simplest terms: 7(-9a + 2a + 8) – 3a
Answer:
-63a+14a+56-3a
= -52a+56
Here we need to use algebraic properties to simplify an expression, we will get:
[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a = -52\cdot a + 56[/tex]
The mathematical property we need to use is the distributive property.
[tex]A\cdot (B + C) = A\cdot B + A \cdot C[/tex]
So we start with the expression:
[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a[/tex]
First, we use the distributive property in the first term so we get:
[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a \\\\= 7\cdot (-9)\cdot a + 7\cdot 2 \cdot a + 7 \cdot8 - 3\cdot a\\\\= -63 \cdot a + 14\cdot a + 56 - 3\cdot a[/tex]
Now we use the distributive property in the other way, we take "a" as a common factor:
[tex]-63 \cdot a + 14\cdot a + 56 - 3\cdot a\\\\= (-63 + 14 - 3)\cdot a + 56\\\\= -52\cdot a + 56[/tex]
Here we got the simplified expression.
If you want to learn more, you can read:
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I know the answer can someone just help me explain it???
Step-by-step explanation:
It is Graph B. We can do this by checking the points. The equation given is d = 5t^2, where d technically is the y-coordinate and t is the x-coordinate. On Graph B, two obvious points are (1, 5) and (2, 20). We can check these points to see if they fit the equation.
(1,5): d = 5t^2
5 = 5(1)^2
5 = 5*1
5 = 5, so this point is correct.
(2, 20): = d = 5t^2
20 = 5(2)^2
20 = 5*4
20 = 20, so this point is correct.
We know that Graph A is incorrect because it doesn't follow the equation. The line goes through (1, 5), which we already know is correct, (2, 10), (3, 15), and (4, 20). We already figured out that (2, 20) is correct so (2,10) can't be correct. (3, 15) and (4, 20) are also incorrect but in this case, we only need to find one incorrect coordinate to validate our answer. Thus, as Graph A is wrong, Graph B is right.
What angle is this? A: Adjacent. B: Vertical. C: Complementary. D: Supplementary.
I WILL GIVE BRAINLIST TO RIGHT ANSWER
Answer:
d supplementary angle is s answer to me
PLEASE HELP!!!!!!!!!!!
The queen of hearts, queen of diamonds, queen of spades, and queen of clubs are taken out of a deck of cards. They are to be put in 3 places on a table. In how many different ways can they be placed in the 3 spots?
24
8
96
12
Answer:
24
Step-by-step explanation:
two numbers are in the ratio 2:5. If 6 is subtracted from their sum, the result is 50. what is the larger number
Answer:
(2x+5x)-6=50
7x =56
x=8
5>2, so 5 is the bigger one
5*8=40
the answer is 40
I would really like some help with this. If anyone is able to help me.
Answer:
are not
Step-by-step explanation:
it is clear I can explain in the comment section ... because I don not want you to lose time
Karen's garden measures 4.8 feet wide and 19.32 feet long. What is the area of her garden in square feet?
Answer:
92.736
Step-by-step explanation:
A = L* W
A = 4.8 * 19.32
A = 92.736
What is the domain of the function on the graph?
1 is subtracted from the division of a number and 9. The result is -2.
Answer:
The number is - 9.
Step-by-step explanation:
(y ÷ 9) - 1 = - 2
(y ÷ 9) - 1 + 1 = - 2 + 1
y ÷ 9 = - 1
y ÷ 9 × 9 = - 1 × 9
y = - 9
Find the indicated measure. Assume that lines which appear to be diameters are diameters.
Answer:
The measure of the angle is 120 degrees
Step-by-step explanation:
Here, we want to find the measure of the angle
Mathematically, the sum of angles at a point ( the center of the circle in this case) is equal to 360 degrees
We have the measures 150 degrees and 90 degrees; by adding this two and subtracting from 360, we will have the measure of the the marked angle
Thus, we have this as;
360 - (150 + 90)
= 360-240
= 120
Help me with this please!!!!!!
Answer:
4√6
Step-by-step explanation:
cot60➜4√2/t
➜1/√3=4√2/t
➜t=4√2√3
➜t=4√6
Answer:
[tex]2\sqrt{2}[/tex] = t
Step-by-step explanation:
Sin(30) = t / [tex]4\sqrt{2}[/tex]
Sin(30) * [tex]4\sqrt{2}[/tex] = t
[tex]2\sqrt{2}[/tex] = t
Hope this helps!
Solve for x! Please try and show work. ANSWER ASAP SCAM ANSWERS WILL BE REPORTED. Also will award brainliest to CORRECT answer
Answer:
x = 12 degrees
Step-by-step explanation:
m < LNM = (70+136)/2
= 206 / 2
= 103 degrees
So 7x + 19 = 103
7x = 103 - 19 = 84
x = 84/7
x = 12.
How do you write 4.7x10^1 in standard form?
Answer:
Hello I am here to help!!
Step-by-step explanation:
The answer is 47
It's written as 47! <3
*yawn*...............
Answer:
yawwwwwwnnn......,....done
Solve for q.
3/5 = q/10
q=?
what is the length for the 3rd side? write in simplest radical form if needed
Answer:
10
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
Let the third side be x , then
x² + 6² = (2[tex]\sqrt{34}[/tex] )²
x² + 36 = 136 ( subtract 36 from both sides )
x² = 100 ( take the square root of both sides )
x = [tex]\sqrt{100}[/tex] = 10
Find the range of this data set:225, 342, 288,552, 263.
Answer:
327
Step-by-step explanation:
552-225
Solve for the missing side. Round to the nearest tenth.
HELP MEEE PLS ):
Answer:
b² = 13.2
Step-by-step explanation:
5.8²+b²=14.4²
33.64+b²=207.36
-33.64 -33.65
b²= √173.71
b² = 13.1799089526
b² = 13.2
A regular polygon has an interior angle of 171 degrees. Show your work. (3 points for work, 3 points
for correct answers)
a) How many sides does it have?
b) What is the sum of the interior angles?
c) What is the measure of one of its exterior angles?
Answer:
a) 40 sides
b) 6840
c) 9 gegrees
Step-by-step explanation:
interior angle= (n-2)180
n
[tex] (n - 2)180 \div n = 171 \\ 180n - 360 = 171n \\ 180n - 171n = 360 \\ 9n = 360 \\ n = 360 \div 9 = 40 \\ [/tex]
so total number of sides is 40
b) Sum of interior angles= (n-2)×180
(40-2)×180
38×180
6840
c) Exterior angle = 360 ÷ n
360÷40 =9 degree
Simplifique:
a) 0,027^1/3
b)16^1/25
c)4^0,5
d)27^0,333...
Answer:
a) 0.3.
b) 1.117287138 to 9 dec. places.
d)3.
Step-by-step explanation:
a and d: the powers 1/3 and 0.333... is the cube root.
c: 0.5 = the square root.
b is found using a calculator
Solve to get the value of h
What is the solution to the following system of equations
5x + 4y = 40 6x + 4y =44
Answer:
X=4, y=5
Step-by-step explanation:
5x + 4y =40 equation 1
6x + 4y =44 equation 2
-1(5x + 4y)=-1(40) multiply equation 1 by -1 so equation will eliminate y
-5x - 4y=-40 modif equation 1
6x + 4y= 44 equation 2
x=4. Add above 2 equations
solve for y:
5x + 4y =40
5(4)+4y=40
20+4y =40
4y=20
y=5
check solution ;
6x+4y=44
6(4) + 4(5)=44
24 + 20=44
44=44
find the length of side x in simplest radical form with a rational denominator
Answer:
7
Step-by-step explanation
i did this
Helppppp
a. 90
b. 85
c. 75
d. 115
Answer:
85is the correct answer
Need help fast djs and she usdhsbsurbdidbidbdidbdidbdixbd
Answer:
∠BCD=95°
Step-by-step explanation:
∠B+∠D=127+43=170
360-170=190
∠A=∠C
∠A+∠C=190
∠C+∠C=190
∠C=190/2=95°