Answer:
The length of the wire used is [tex]L = 12.85\cdot d[/tex], where [tex]d[/tex] is the diameter of the semicircle.
Step-by-step explanation:
Let be a wire of length [tex]L[/tex]. Geometrically speaking, the perimeter of a semicircle is:
[tex]s = \left(\frac{\pi}{2}+1 \right)\cdot D[/tex] (1)
Where:
[tex]s[/tex] - Perimeter.
[tex]D[/tex] - Diameter.
Given that wire was used to create a two large semicircles and a small semicircle and that diameter of the large semicircle is twice the diameter of the small semicircle, we have the following formula:
[tex]L = 2\cdot \left(\frac{\pi}{2}+1\right)\cdot (2\cdot d) + \left(\frac{\pi}{2}+1 \right)\cdot d[/tex]
[tex]L = 5\cdot \left(\frac{\pi}{2}+1 \right)\cdot d[/tex]
[tex]L = 12.85\cdot d[/tex]
Where [tex]d[/tex] is the diameter of the semicircle.
The lengths. in cm. of 8 pieces of wood are? 56 45 110 77 87 61 74 36
Answer:
[tex]Average = 68.25cm[/tex]
Step-by-step explanation:
Given
[tex]n = 8[/tex]
[tex]Lengths: 56\ 45\ 110\ 77\ 87\ 61\ 74\ 36[/tex]
Required
Determine the average ---- [Missing information]
This is calculated as:
[tex]Average = \frac{\sum x}{n}[/tex]
So:
[tex]Average = \frac{56 + 45 + 110 + 77 + 87 + 61 + 74 + 36}{8}[/tex]
[tex]Average = \frac{546}{8}[/tex]
[tex]Average = 68.25cm[/tex]
How many ways can you put the letters in "Utah" in order?
8.75 x 10 ^3 in standard form
Answer:
8.75×10^3
Step-by-step explanation:
here is the answer
Which equation represents a line which is parallel to the line 2x+7y=-56
Write an algebraic expression to represent the area of the shaded region.
Answer:
4y^{2}+3y
Step-by-step explanation:
First you need to distribute the values.
(4y+3)(2y) Using the "Rainbow Method" to multiply the polynomials
You Should get
8y^{2}+6y
Since this is the area of the rectangle and we need to find the area of the shaded region you need to dived 8y^{2}+6y in half because the shaded region is half of the rectangle.
8y^{2}+6y/2
Doing this you will get
4y^{2}+3y
What is the greatest common
factor of 6 and 30
The topmost common factor of 6 and 30 is 6.
To find the topmost common factor( GCF) of 6 and 30.
We can determine the factors of both figures and identify the largest factor they've in common.
The factors of 6 are 1, 2, 3, and 6.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
From the common factors listed over, the largest factor that both 6 and 30 share is 6.
Thus, the topmost common factor of 6 and 30 is 6.
Learn more about Greatest Common Factor here:
https://brainly.com/question/29584814
#SPJ6
Pls help and look at the screenshot will give brainlist
Answer:
D
Step-by-step explanation:
If the perimeter of the square below is 12x^2-8x-4, what is the area of the figure
Answer:
Step-by-step explanation:
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PLEASE HELP I'LL GIVE BRAINLYIST
Write an algebraic expression to represent the area of the shaded region
Answer: 2y=3/2 x is variable
Step-by-step explanation:
You will have to add the 4y plus the 3 and the rectangle being halved diagonle.so you will need to 27y and divide the variable and answer because it is timed I am here .
Answer:
4y^{2}+3y
Step-by-step explanation:
First you need to distribute the values.
(4y+3)(2y) Using the "Rainbow Method" to multiply the polynomials
You Should get
8y^{2}+6y
Since this is the area of the rectangle and we need to find the area of the shaded region you need to dived 8y^{2}+6y in half because the shaded region is half of the rectangle.
8y^{2}+6y/2
Doing this you will get
4y^{2}+3y
HELP PLEASEEEE⚠️⚠️⚠️
Answer:
Step-by-step explanation:
is cos 314° positive,negative,or zero?
The height of a shed is 6 m. A ladder leans against the shed with its base 4.5 m away, and its top just reaching the roof. What is the length of the ladder?
Answer:
length = 7.5 m
Step-by-step explanation:
a^2+b^2=c^2
6^2+4.5^2=c^2
36 + 20.25 = 56.25
[tex]\sqrt{56.25[/tex]
= 7.5 meters
I Need help ASAP please and Thankyou!!
Answer:
Step-by-step explanation:
m∠R = 180° - 110° [Linear pair of angles are supplementary]
m∠R = 70°
m∠S = 45° [Vertically opposite angles]
By triangle sum theorem,
m∠P + m∠R + m∠S = 180°
m∠P + 70° + 45° = 180°
m∠P = 180 -115
= 65°
Therefore, m∠A = m∠P = 65° [Vertically opposite angles]
By triangle sum theorem,
m∠B + m∠S + m∠T = 180°
m∠B + 45° + 65° = 180°
[m∠T = 65°. Since, ∠P and ∠T are corresponding angles]
m∠B = 180° - 110° = 70°
m∠C + m∠B = 180° [Linear pair of angles are supplementary]
m∠C = 180° - 70° = 110°
m∠D + m∠T = 180° [Linear pair of angles are supplementary]
m∠D + 65° = 180°
m∠D = 115°
Solve for x?
A 19.8
C 32.7
B 12.8
D 7
Answer:
Step-by-step explanation:
this performance task is really important for my grade, if you could help, i would greatly appreciate it :)
The vertices of quadrilateral WXYZ are W(-1,4); X(3,5); Y(4,1); Z(00). What kind of quadrilateral is it? Explain how you know this. Be as specific as possible.
Answer:
This quadrilateral is a SQUARE.
When we plot these points, we realize that they are equal distance apart.
So, when a quadrilateral has sides that are equal distance apart, that quadrilateral is a square.
Let me know if this helps!
The price of a 9-minute phone call is $1.35. What is the price of a 16-minute phone call?
Ratio of boys to girls is 4 to 3. If there are 56 total students, how many are girls?
Answer:
There are 24 girls.
Step-by-step explanation:
56 total students divided into 7 parts (4 parts boys and 3 parts girls) is 8.
8 times 3(ratio of girls) is equal to 24.
Answer:
I think 24 if i'm not wrong
Step-by-step explanation:
Supppose a rectangle will undergo a rotation about the origin of a coordinate plane and a translation of 6 units down. Which of these is a true statement
Options:
The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.
The resulting rectangle will be congruent to the original rectangle only if the rotation occurs before the translation.
The resulting rectangle will be congruent to the original rectangle only if the translation occurs before the rotation.
The resulting rectangle will not be congruent to the original rectangle regardless of the order of the rotation and the translation.
Answer:
The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.
Step-by-step explanation:
See attachment for options
Given
Shape: Rectangle
Transformation
- Rotation
- Translation 6 units down
Required
True statement about the transformation
From the options, we understand that we are to answer the question based on whether or not the image of the transformation will equal the original.
The given transformations are rigid transformations and as such, they do not in any way change the measure of the length and/or angle of the new image, after transformation
So, irrespective of which transformation comes first, both shapes will be congruent.
Hence: (a) is true
A square has an area of 501.76m2.
Work out the perimeter of the square.
Answer:
89.6 meters
Step-by-step explanation:
we have to take the square root of 501.76 to find the measure of 1 side which is 22.4 which we then multiply by 4 because a square has 4 sides.
Please show work. Thanks
Answer:
6
Step-by-step explanation:
multiple 30× .20% which equals 6. Then you will add 30 +6=36. So, Lane will do a total of 36 push-ups everyday
what is the length of line BC in the right triangle below?
Answer:
D. 39
Step-by-step explanation:
BC^2 = BA^2 + AC^2
BC^2 = 15^2 + 36^2
BC = square root (1521)
BC = 39
Answer:
D) 39
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean thm formula
Formula: a² + b² = c²
15² + 36² = c²
225 + 1296 = c²
1521 = c²
[tex]\sqrt{1521} =\sqrt{c^2}[/tex]
c = 39
What is the value of this expression when a = 7 and b= -4? |2a|-(-4)/3
Whats the formula for surface area of a trapezoidal prism?
Step-by-step explanation:
the side length of the lower bottom is a, the side length of the upper is b, the height is h.
Name
On the class field trip, there were
4 teachers and 35 students. Which of the
following is the ratio of students to teachers
Answer:
35:4 is the ratio.
Step-by-step explanation:
The students are written on the top of the fraction because of the wording students to teacher.
Can you guys help me. l will give you the brainliest and if you give me the correct answers. please show working.
Answer:
Step-by-step explanation:
Angles formed when we turn clockwise in the given directions,
a) N to E → 90°
b). W to NE → (90° + 45°) = 135°
c). SE to NW → 180°
d). NE to N → 360° - 45° = 315°
e). W to NE → 90° + 45° = 135°
f). S to SW → 45°
g). S to SE → 360° - 45° = 315°
h). SE to SW → 180°
i). E to SW → 90° + 45° = 135°
John called a plumber to fix a leak in his bathroom. The plumber charged $30 to come to the house and $25 an hour while fixing the leak. If the final bill
was $105. how many hours was the plumber at John's house?
Answer:
30 subtracted from 105 leaves u with 75 so divide that with 25 & he took abt 3 hrs
Simplify the expression. −3x + 8x + 2 - 3x + 8x + 2
Answer:
10x + 4
Step-by-step explanation:
Combine like terms.
First combine the numbers that have the letter x:
-3x + 8x + 2 - 3x + 8x + 2-3x + 8x -3x +8x + 2 + 210x + 2 + 2Then combine the ones that don't have the letter x
10x + 2 + 210x + 4Answer is 10x+4
What is 7,000 + 100 + 80 + 7 in standard form?
Answer:
7,187
Step-by-step explanation:
Add 7 to 80 it equals 87 add that to 100 then it is 187 then you add that to 7,000 it is 7,187 in standard form.
Answer:
7,187
Step-by-step explanation:
Solve for X
Will give brainiest
Answer:
x = 6
Step-by-step explanation:
8x + 2 + 70 + 60 = 180
8x + 132 = 180
8x = 48
x = 6
will name brainliest if correct the first answer
Answer:
the third one
Step-by-step explanation:
have a great day :)
It is C
In problem C X is still being multiplied by the other variable y, and also it is still multiplying the 7 too, The other questions do not factor in the multiplication required meaning that the only answer that could be applied would be C.
Hope this helps and have a nice day.
-R3TR0 Z3R0