Answer:
When a circle is inscribed in a square , the diameter of the circle is equal to the side length of the square.
You can find the perimeter and area of the square, when at least one measure of the circle or the square is given.
For a square with side length s , the following formulas are used.
Perimeter = 4s
Area = s2
Diagonal = s2√
Similarly, you can find the circumference and area of the circle , when at least one measure of the circle or the square is given.
For a circle with radius r , the following formulas are used.
Circumference = 2πr
Area = πr2
Example 1:
Find the perimeter of the square.
When a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square.
So, the side length of the square is 6 cm.
The perimeter P of a square with side length s is given by P=4s .
Substitute 6 for s in P=4s .
P=4(6) =24
The perimeter of the square is 24 cm.
Example 2:
What is the area of a circle that is inscribed in a square of area 64 square units?
When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units.
The area of a circle of radius r units is A=πr2 .
Substitute r=4 in the formula.
A=π(4)2 =16π ≈50.24
Therefore, the area of the inscribe circle is about 50.24 square units.
Step-by-step explanation:
Un paralelogramo con una base de 13cm y una altura de 8cm, su área es de
Answer:
Step-by-step explanation:
Find the slope of the line that passes through each pair of points (-3,4) and (2,-3)
Answer:
[tex]\boxed{\sf m=-\frac{7}{5}}[/tex]
Step-by-step explanation:
[tex]\boxed{\sf{Slope}=\frac{y_2-y_1}{x_2-x_1}}[/tex]
→ [tex]\sf \left(x_1,\:y_1\right):\left(-3,\:4\right)[/tex]
→ [tex]\sf \left(x_2,\:y_2\right):\left(2,\:-3\right)[/tex]
[tex]\sf m=\cfrac{-3-4}{2-\left(-3\right)}[/tex]
[tex]\sf m=-\cfrac{7}{5}[/tex]
_________________________
URGENT PLEASE HELP, respond to c, d, e, and f please !!
Answer:
Step-by-step explanation:
c. (18.5-17)/.9= 1.66666666667= 1.6667
d. .7107
e. .2185
f. 0.675=(x-17)/.9 x= 17.6075
Determine the value of the expression 2(x - 3) when x = 2.
Answer:
-2
Step-by-step explanation:
2(x-3), x=2
Since we know what x equals, plug it into the equation
2(2-3)
2(-1)
-2
Answer:
2(2-3)
4-3
1
Step-by-step explanation:
[tex]2(2 - 3) \\ 4 - 3 \\ 1[/tex]
What is the value of 5³ ?
Answer:
125
Step-by-step explanation:
5^3 = 5 x 5 x 5
5 x 5 x 5 = 25 x 5
25 x 5 = 125
answer:
125
step by step explaination:
5³
5×5×5 = 125
Please help me on this it’s due
================================================
Explanation:
Let's start off converting the mixed number 12 & 1/4 to an improper fraction.
[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\[/tex]
Do the same for the other mixed number 2 & 1/3.
[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\[/tex]
-----------------------
From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.
[tex]\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\[/tex]
The last step is to convert that result to a mixed number.
[tex]\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\[/tex]
Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.
-----------------------
Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.
A 2-column table with 6 rows. Column 1 is labeled Height (inches) with entries 30, 46, 49, 63, 67, 73. Column 2 is labeled Arm Span (inches) with entries 27, 45, 47, 63, 69, 71.
1. Label axes according to input/output.
is the x–axis label.
is the y–axis label.
2. Plot the ordered pairs of the independent/dependent variables.
The ordered pair
is found in the scatterplot.
Answer:
1. Hight (in.)
2.Arm span (in.)
3.(30,27)
Answer:
1. Hight (in.)
2.Arm span (in.)
3.(30,27)
Step-by-step explanation:
I'm late but hope this helps
guys pls help me!!!!!!!
Answer:
x = 131
Step-by-step explanation:
the angle adjacent to x on line l corresponds to 49° and are congruent, then
49 and x are adjacent and sum to 180° , that is
x + 49 = 180 ( subtract 49 from both sides )
x = 131
DUE IN 5 MINUTES PLEASE HELP
Answer:
they are perpendicular
Step-by-step explanation:
Fill in the [?]:
11,562 um = [?]m
Give your answer in standard form.
Enter
I beat the wither and the ender dragon what next
The picture is my question, tap on it to see it better please answer it.
Answer:
When x= 4, then f(x)= 13.
When x= g(x), then f(x)=g
When x= -3, then f(x)= -1
When x= -15(x), then f(x)= -15
if Ax and 60b 30c find its unknown sizes of angle
Step-by-step explanation:
3360832553 pass wZE2XQ
Can some please write my knowns and unknowns for this question
Answer:
Knowns:
initial velocity (v₀) = 0
final velocity (v₁) = 100 km/h
acceleration (a) = 9.00 m/s²
Unknowns: how long the acceleration took (Δt) = ?
Step-by-step explanation:
Use one of the kinematics equations to find what you're looking for.
This equation with a little algebra should help
v₁ = v₀ + aΔt
Sarah has 86% in science, 72% in English, 93% in World Studies,87% in french,93% in music, 100% in health and 80% in math. What is her average? How does her English grade affect this average? What should she do to bring her average higher?
Average: about 87%
Her english grade affects her average because it is the lowest out of all of the grades which brought her average grade down.
not sure about this: To bring her average higher, she should probably try more in english or study. (not sure about this one)
Step by Step:
Add up all of her scores:
86 + 72 + 93 + 87 + 93 + 100 + 80
it equals 611
Since we added up 7 scores, we divide 611 by 7
611 divided by 7 is 87.285...
So her average is about 87%
What is the equation of the line in the slope-intercept form?
Answer:
y = [5/2]x + [5]
Step-by-step explanation:
y= mx+b
m=rise/run
m=5/2
b=y intercept
b=5
y = 5/2x + 5
please show the work but thanks !!!
Helppp ppleasee ??!!
Answer:
[tex](m^{4} + 5) - n^{3}[/tex] = 85
Step-by-step explanation:
[tex](m^{4} + 5) - n^{3}[/tex] given m = - 2, and n = -4
Substitute the given values into the polynomial expression:
[tex](m^{4} + 5) - n^{3}[/tex]
[tex][(-2)^{4} + 5] - (-4)^{3}[/tex]
= (16 + 5) - (-64)
= 21 + 64
= 85
Therefore, the correct answer is 85.
Answer: 85
Step-by-step explanation:
(m^4+5)-n^3
(-2^4+5)-(-4)^3
(16 + 5)-(-64)
21 + 64 = 85
HELP!
Find f(-1) for f(x) = -3x + 2x”.
Answer:
f(-1) = 1
Step-by-step explanation:
f(-1) just means you plug -1 into the equation:
-3x + 2x
-3(-1) + 2(-1)
3 - 2
1
Hopefully this helps!
Brainliest please?
i do not understand question 6
9514 1404 393
Answer:
28
Step-by-step explanation:
The diagonals of the parallelogram are AC and BD. The way the diagram is drawn, BD is the long diagonal, said to be 24 inches. AC is the short diagonal, said to be 12 inches.
Since AC bisects BD at point E, point E is the midpoint of BD. That means BE = (24 inches)/2 = 12 inches.
Since BD bisects AC at point E, point E is the midpoint of AC. That means EC = (12 inches)/2 = 6 inches.
__
Now, we know the lengths of the sides of ΔBEC, so we can find its perimeter. The perimeter of any geometry is the sum of the lengths of its sides.
perimeter ΔBEC = CB +BE +EC
perimeter ΔBEC = 10 in + 12 in + 6 in = 28 in
The perimeter of triangle BEC is 28 inches.
Karen wants to buy a $22.50 jacket that is marked 20% off.
Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression Choose.
Answer:
discount = price times % off
discount = 22.50 x 0.20
discount = $4.50
Step-by-step explanation:
the quotient of 8 and y
Answer:
"The quotient of 8 and y" is written as the following algebraic expression:
8÷y
Help pls and show your work!
help with this question
Answer:
B
Step-by-step explanation:
the roots are the x-values where the graph intersects the x-axis. to find the roots replace y with 0 and solve for x
PLEASEEEEEE HELPPPPPPPPP
[tex]5x + 3 = - 9 \\ = > 5x = - 9 - 3 \\ = > 5x = - 12 \\ = > x = \frac{ - 12}{5} \\ = > x = - 2 \frac{2}{5} [/tex]
Answer:Option A .
[tex] - 2 \frac{2}{5} [/tex]
helpppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
a) = 4.198
b) = 4.146
Step-by-step explanation:
a) 15.444/6+0.232*7
do pemdas
=15.444/6+(0.232*7)
=(15.444/6)+1.624
=2.574+1.624
a) = 4.198
b) (1.709+0.364)*6/3
pemdas again
=(2.073) *6 / 3
=12.438 / 3
b) =4.146
Hope this helps :)
Answer:
A 4.198 and b is 2.073
Step-by-step explanation:
i hope this is right
If y varies directly as x and inversely as z, and y=22 when x=4 and z=6, find y when x =10 and z = 25.
I give Brainliest! Please no links
What is the rotation of point A (-2, 3). 90 degrees?
A. (2,3)
B. (-2,-3)
C. (3,-2)
D. (3,-2)
Step-by-step explanation:
Let's pretend our point is actually a complex number. That would make the point -2–3i. Why would we do this? Well, rotation of complex numbers is simply a matter of multiplication, in this case by 1∠−90° , or -i.
So to start, you shift the point of rotation to 0+0i, rotate it by multiplying, then shift it back to the axis of rotation.
z=−i[(−2−x0)+(−3−y0)i]+(x0+iy0)
=−3−y0+x0+(2+x0+y0)i
x=Rz
y=Iz
Thus the new point is at (−3+x0−y0,2+x0+y0)
hence (-3,2)
or
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
c 35 84
length is 84
c 35 is hypotenuse
equals 120 neareast tenth
How do you factor x^2 + 4x - 4?
Answer:
you cant factor it.
Step-by-step explanation: