Answer:
4.19 inches
Step-by-step explanation:
Your goal is to find the circumference of the donut and then divide that by 3 to get 1/3 of the outer edge of the donut.
Circumference is 2[tex]\pi[/tex]r
The diameter (double the radius) is 4, so radius (r) is 2
2 * pi * 2 = 4 pi = 12.57 (round to hundredth)
12.57/3 = 4.19
keep in mind that dividing by 3 is the same as multiplying by 1/3
What is the value of x?
0 12
O 10
06
08
Answer:
8
total degree inside pentagon is (n - 2) x 180 = 540
180-62 = 118
180-66 = 114
180-77 = 103
180-59 = 121
118+114+103+121 = 456
540 - 456 = 84
84 + 12x = 180
12x = 180-84
x = 96/12
x = 8
The value of x in the given pentagon is 8.
Option D is the correct answer.
What is a Pentagon?A pentagon is a polygon that has five sides and five angles.
The sides and angles of a pentagon are not all equal unless it is a regular pentagon.
A regular pentagon has five equal sides and five equal angles.
We have,
For a pentagon, n = 5, so we have:
total degree = (5 - 2) × 180 degrees
total degree = 3 × 180 degrees
total degree = 540 degrees
Now,
Each angle makes a straight angle.
So,
77 + a = 180
a = 180 - 77 = 103
59 + b = 180
b = 180 - 59 = 121
c + 66 = 180
c = 180 - 66 = 114
d + 62 = 180
d = 180 - 62 = 118
Now,
a + b + c + d + e = 540
103 + 121 + 114 + 118 + e = 540
e = 540 - 456
e = 84
Now,
12x + 84 = 180
So,
12x = 180 - 84
12x = 96
x = 8
Thus,
The value of x is 8.
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The length of a rectangle is 1 foot more than twice the width. The area is 55 square feet. Find the length of the dimension of the rectangle.
Answer:
11 ft
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is
A = L * W.
Represent the length, L, by 2W + 1 ("1 more than twice the width"). Then the area formula (above) becomes:
A = 55 ft^2 = (2W + 1)(W), which, when simplified, results in:
2W^2 + W - 55 = 0, whose coefficients are {2, 1, -55}. Let's use the quadratic formula to solve this for W:
The discriminant, b^2 - 4ac, is 1^2 - 4(2)(-55), or 441. The square root of 441 is 21. Thus, the quadratic formula gives us:
-1 ± 21
W = ------------- = (1/4)(-1 + 21), or W = 5 and W = -22/4 = -11/2
2(2)
A measure of length can't be negative, so we reject W = -11/2 in favor of W = 5.
Then, according to the formula for L that we found earlier, L = 2W + 1, or
L = 2(5) + 1, or L = 11.
Check: Does L * W result in an area of 55 ft²? Yes
The length dimension of the rectangle is 11 ft
simplify 3a x 2b x 2
Answer:
[tex]12ab[/tex]
Step-by-step explanation:
3a × 2b = 6ab
6ab × 2 = 12ab
Therefor, the answer is 12ab.
3a × 2b × 2 = 12ab
The expression expects us to find the product . Therefore,
3a × 2b × 2Let's do it step by step
3a × 2b = 6ab
Then,
6ab × 2 = 12ab
Therefore,
3a × 2b × 2 = 12ab
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5) Today's temperature is 10 degrees. Yesterday's temperature was -3. What is
the range of the two temperatures? *
Answer:
13
Step-by-step explanation:
10--3=
So is 13
But not sure
M. A rectangular swimming pool is 5.4 m long and
3.5 m wide. It has a
path 0.5 m wide
Path
around it. What is
the area of the path?
Swimming pool
NEED HELPPPPP
Answer:
i need help please with my maths
Step-by-step explanation:
5) A savings account earns 4.5% annual simple interest. The principle is
$1300. What is the balance after 3 years? *
Answer:
$1483.52
Step-by-step explanation:
P=principle
Fn=total at the end of a given year(=n) (subscript)
I= interest in decimal
F=P(1+I)
at end of first year F1=P(1+I)
at end of second year F=F1(1+I)= P(1+I)(1+I)= P(1+I)^2
or in general Fn=P(1+I)^n
slope that falls between (0,20) and (20,85)
Answer:
13/4
Step-by-step explanation:
To find the slope we use the equation
m= (y2-y1)/(x2-x1)
= (85-20)/(20-0)
= 65/20
= 13/4
Mark and his three friends ate out at Applebee’s. (Hint* 4 total people)
Their bill totaled $52.35.
If they left the server a 20% tip, how much would each person pay splitting the bill evenly?
(Round to the nearest dollar and cent)
Answer:
16 each
Step-by-step explanation:
15.71
Answer:
each person $15.67=$15.7
Step-by-step explanation:
20/100*52.35=10.47
52.35+10.47=$62.68 total
62.68/4=15.67
each person $15.67 =15.7
Which equation has a graph parallel to the graph of
y = -2/3x + 2
Answer:
B
Step-by-step explanation:
The answer is b because the number is supposed to be next to the first number
ANSWER ASAP
1. Given the solution, determine the missing
term. Explain your steps and show any work
in finding the solution,
25x3 +__x² - x - 4
Solution: (x + 4)(5x + 1)(5x – 1)
Answer:
100x^2+x-4
Step-by-step explanation:
x + (4 • (5x + 1) • (5x - 1))x + 4 • (5x + 1) • (5x - 1)Factoring 100x2+x-4 The first term is, 100x2 its coefficient is 100 .The middle term is, +x its coefficient is 1 .The last term, "the constant", is -4 Step-1 : Multiply the coefficient of the first term by the constant 100 • -4 = -400 Step-2 : Find two factors of -400 whose sum equals the coefficient of the middle term, which is 1 . -400 + 1 = -399 -200 + 2 = -198 -100 + 4 = -96 -80 + 5 = -75 -50 + 8 = -42 -40 + 10 = -30 -25 + 16 = -9 -20 + 20 = 0 -16 + 25 = 9 -10 + 40 = 30 -8 + 50 = 42 -5 + 80 = 75 -4 + 100 = 96 -2 + 200 = 198 -1 + 400 = 399please help me I DO NOT UNDERSTAND
PLEASE HELP ILL GIVE BRAINLIST
Answer:
B.
E.
Step-by-step explanation:
Answer:
A= 4.889
B= 5.06
C= 4.972
D= 4.992
E= 5.01
Step-by-step explanation:
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A lion weighs 7 times as much as a leopard. The combined weight of the cats is 480 pounds. What is the weight of each cat? I am so stumped on this question. :(
Hence, the weight of each cat is [tex]68.57[/tex].
What is the division?
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.
Here given that,
A lion weighs [tex]7[/tex] times as much as a leopard. The combined weight of the cats is [tex]480[/tex] pounds.
So, the weight of each cat is [tex]\frac{480}{7}=68.57[/tex].
Hence, the weight of each cat is [tex]68.57[/tex].
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Find the area and the circumference of a circle with diameter 8 ft.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
ft
ft?
ft
8 ft
Area:
Circumference:
X Х
?
Answer:
Step-by-step explanation:
Circumference
C = 2*pi * r
pi = 3.14
r = d / 2
r = 8/2
r = 4 feet
C = 3.14 * 2 * 4
C = 18.84 feet.
Area
pi = 3.14
r = d/2
r = 8/2
r = 4
Area = 3.14 * 4^2
Area = 3.14 * 16
Area = 50.24 ft^2
HEEEEEELPPPPPPPPPPPPPPPPPP PLSSSSSSSSSSSSSSSSSSSSS
Answer:
g(n) = 18 - 4n
Step-by-step explanation:
Given the recursive formula
g(n) = g(n - 1) - 4 with common difference d = - 4 and g(1) = 14
The explicit formula for an arithmetic sequence is
g(n) = g(1) + (n - 1)d , then
g(n) = 14 - 4(n - 1)
= 14 - 4n + 4
= 18 - 4n
Triangle congruence and similarly (picture included) SAS, ASA, SSS, or AAS?
Answer:
SAS
Step-by-step explanation:
SAS Postulate: "If two sets of corresponding sides on two triangles and there included angle are congruent, then the triangles are similar".
We see that line segments XY-ST and XZ-SR are congruent along with the included angles X and S. Therefore, we can justify that SAS fits the situation.
If this helped you, please consider giving a good rating, a thanks, and brainliest! It is greatly appreciated if you choose to do so! Thanks!
convert 0.3 to a percent
will give brainliest if right
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The corner of a room where two walls meet the floor should be a
right triangle. Jeff makes a mark along each wall. One mark is 12
inches from the corner. The other is 9 inches from the corner. How
can Jeff use the Pythagorean Theorem to see if the walls form a
right angle?
If the distance across the floor from one mark to the other is
says that
inch(es), then the
because 122 + 92 = 0%, a right triangle is formed.
Answer:
Step-by-step explanation:
If the distance across the floor from one mark to the other is [15] inches then the [Pythagorean Theorem] says that because 12^2+9^2=[15]^2, a right triangle is formed.
Part C
Vertical angles are the angles opposite each other when two lines intersect. Which angles are vertical to the given angles? Complete the table.
Answer:
angle A = Angle C: verticle angle
angle B = Angle D: verticle angle
angle E = Angle G: verticle angle
angle F = Angle H: verticle angle
angle B and A are supplementary
angle D and C are supplementary
angle E and F are supplementary
angle H and G are supplementary
Answer:angle A = Angle C: verticle angle
angle B = Angle D: verticle angle
angle E = Angle G: verticle angle
angle F = Angle H: verticle angle
angle B and A are supplementary
angle D and C are supplementary
angle E and F are supplementary
angle H and G are supplementary
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NOWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW
Answer: X=147
Step-by-step explanation:
33+114= 147
two angles added together equals x
x=147
The length of a rectangle is 5 units more than twice its width. Find an expression for the perimeter of the rectangle.
9+3s-7z-10z+2s
please help .
Plz plz plz helpppppplllpl
Answer:
both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.
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ABC - DEF. What sequence of transformations will move ABC onto DEF?
Please help me!!
Answer:
it should be b i think
Step-by-step explanation:
Answer:
It was C
Step-by-step explanation:
I took the test
Please tell me the steps to get to the answer.
Answer:
10 cm x 15 cm i think
Step-by-step explanation:
Answer:
Area = 1/2 bh
Step-by-step explanation:
10 x 15 = 150/2 which is 75
Please please help help me please please help helps me please ASAP ASAP please ASAP thank you!!
Answer:
Ill help! If there is anything you need help with? lol
Step-by-step explanation:
Answer:
Look below.
Step-by-step explanation:
Blank 1:
We could see that the number line has been shaded from -2 to positive infinity. From this information we could conclude that the inequality for the number line would be (-2, + ∞).
Tip- If the circle is shaded then you use [ but if its not shaded then you use ( which is why we used the parenthesis for our answer.
Select the proportion of sides relationships that would prove ABC is congruent by the side angle side similarity theorem
What is the area of the rectangle?
A. 6,000 units2
B. 6,100 units2
C. 6,660 units2
D. 6,666 units2
Which segment is closest in lenght to √10?
_
AC
_
DE
_
AD
_
AB