The radius of the circle is a line from the center of the circle to its circumference
The radius of the circle with the same vertex as a center is 10.16 units
How to determine the radiusFrom the question, we understand that:
The adjacent sides of the triangle are 12 and [tex]12\sqrt 3[/tex]The triangle has an angle of 60 degreesStart by calculating the area of the triangle using:
[tex]Area = 0.5ab\sin C[/tex]
So, we have:
[tex]Area = 0.5 * 12 * 12\sqrt 3 *\sin (60)[/tex]
This gives
[tex]Area = 0.5 * 12 * 12\sqrt 3 * \frac{\sqrt 3}{2}[/tex]
[tex]Area = 108[/tex]
The arc divides the triangle into two equal regions.
So, the area of the arc is:
[tex]Arc = 0.5 * Area = 0.5 * 108[/tex]
[tex]Arc = 54[/tex]
Also, the area of the arc is:
[tex]Arc = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Arc = \frac{60}{360} *3.14 * r^2[/tex]
Simplify
[tex]Arc = 0.523 * r^2[/tex]
This gives
[tex]0.523 * r^2 = 54[/tex]
Divide both sides by 0.523
[tex]r^2 = 103.25[/tex]
Take the square roots of both sides
[tex]r = 10.16[/tex]
Hence, the radius of the circle with the same vertex as a center is 10.16 units
Read more about circumcised triangles at:
https://brainly.com/question/4268382
turn 55% in to fraction
Answer: Your answer is 55% = 11 / 20
Hope this helps!
Answer:
11/20
Step-by-step explanation:
Step 1: We represent the given number as a fraction by dividing it by 100.
Hence, we write it as 55/100.
Step 2: Simplify the fraction by using common factors of numerator and denominator.
Now, 55% can be written as 55 / 100.
On simplifying the above fraction:
55 / 100 = 11 / 20 [Dividing numerator and denominator by their greatest common factor, that is 5.]
Therefore, 55% can be represented as 11/20 in fractional form.
[RevyBreeze]
Hayden’s mom purchased a savings bond for Hayden. The value of this savings bond increases by 6% every year. One year after it was purchased, the value of the savings bond was $530. Find the value of the bond when Hayden’s mom purchased it. Explain your reasoning!
The new value would be the starting value x 1 + interest rate:
New value = starting value x 1.06
The new value is 530:
530 = starting value x 1.06
Find the starting value by dividing the new value by 1.06:
start value = 530/1.06
Start value = 500
Answer: $500.
explain reasoning: because the bond is only one year old you would multiply the value of the bond by the interest rate and add the interest amount to the bond to get $530.
Solve ? (0.7 + y) times 8.7
8.7(0.7+y)
expand
6.09+8.7y
I need some help with this as well
in not sure if it would be correct but i think it would be c because the lines would eventually cross through eachother
Step-by-step explanation:
Inscribed Angles
if angles ABC measures 70 what does angles ADC measure?
Answer:
35 degrees
Step-by-step explanation:
Assuming B is the center of the circle, the measure of arc AC is 70 degrees since the measure of a central angle is equal to the measure of the arc it intercepts.
This means that by the inscribed angle theorem, which states that the measure of an inscribed angle is half the measure of the arc it intercepts, the measure of the desired angle is 35 degrees.
Need help finding the solution for this linear equation
Answer:
x = -3
y = 7
Step-by-step explanation:
4y + 2 = 30
x - 4y = -31
Simplify the first equation by subtracting 2 from both sides:
4y = 28
Divide both sides by 4
y=7
Plug 7 in for y to solve for x:
x - 4(7) = -31
x - 28 = -31
Add 28 to both sides
x=-3
(x,y)=(-3,7)
Ms. Wilson surveyed her class of 36 students about their favorite ice cream flavors.
• Two-thirds of the students preferred chocolate ice cream.
• One-fourth of the students preferred strawberry ice cream.
• The rest preferred vanilla ice cream.
How many students preferred vanilla ice cream?
Answer:
1 student.
Step-by-step explanation:
Two thirds of the students preferred chocolate ice cream:
2/3 of 36 is 24 students.
One fourth of the students preferred strawberry ice cream:
1/4 of 36 is 9.
9+24= 35
--------------------------------------------------------------------------------------
36-35=1
Only one student preferred vanilla ice-cream.
Answer:
1
Step-by-step explanation:
2/3 × 36
= 24 students preferred Choclate Ice cream
1/4 × 36
= 9 students prefer strawberry ice cream
total students who prefer Chocolate or Strawberry
9+24
=35
Remaining students
36-35
=1
only 1 student preferred vanilla ice cream
please help on the half circle one
Answer:
28.26
Step-by-step explanation:
Area of a circle is pi * radius squared
The diameter is 6, so the radius is 3
pi * 3^2 = 3.14 * 9 = 28.26
Noah has collected $50 by selling lemonade and muffins. He sold $10 worth of muffins. He sold
each cup of lemonade for $2. How many cups of lemonade did he sell?
Answer:
5 cups of lemonade
Step-by-step:
Let's first make an equation from the question.
$10 = muffins (x)
$2 = cups of lemonade (y)
$10x + $2y = $50
x= 4
y= 5
Plug in the numbers:
$10(4) + $2(5) = $50
Do you need to regroup I ten as 10 ones? Explain
Answer: no because that is like
A rectangle has an area of 20 square feet and a length of 6 feet.What is its width?
Answer:
The width would be 3.33 feet. I got this answer by dividing 20 by 6. The area of a Rectangle is (Length times Width) so 6 times 3.33 = 20.
Step-by-step explanation:
HEEEEEEEEEEEESEEEEEEEEEEELPPPP
Answer:
150x2/ [3] = 100
55 - [-22.5] x 2 = 100
84 x 4 - [6] = 330
200 + [8] - 10 = 198
Step-by-step explanation:
Hope this helps
Answer:
1. 3
2. 5
3. 6
4. 8
Step-by-step explanation:
I do not think BODMAS or BIDMAS applies in these questions otherwise it would be impossible
Struggling lol. Any help would be appreciated!
Answer:
Heptagon = 84 ft²
Octagon = 186 yd²
Triangle = 48√3 m²
Step-by-step explanation:
[tex]\textsf{area of a regular polygon}=\dfrac12ap[/tex]
where:
[tex]a[/tex] = length of apothem[tex]p[/tex] = perimeterHeptagon
a = 5.0 ft
p = 33.6 ft
⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²
Octagon
a = 7.5 yd
p = 8 x 6.2 = 49.6 yd
⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²
Triangle
Formula for the apothem of an equilateral triangle :
[tex]a=\dfrac{s}{2\sqrt{3}}[/tex] where [tex]s[/tex] = side length
a = 4, so:
[tex]4=\dfrac{s}{2\sqrt{3}}[/tex]
[tex]\implies 8\sqrt{3}=s[/tex]
Now we know the side length, we can calculate the perimeter (p):
p = 3 x 8√3 = 24√3
⇒ area = 1/2 x 4 x 24√3 = 48√3 m²
The temperature in a city at 5:00 AM was 10 below zero. By noon, the temperature had increased 5 degrees. What is the temperature at noon?
Mr Sire purchases a bicycle for $163.62. How much cash will he need to pay?
Answer:
$163.62
Step-by-step explanation:
$163.62
Answer:
$163.62
Step-by-step explanation:
Please mark me as brainliest
2) A certain company charges $7.95 per square foot to lay patio. How much would
they charge to lay a 23 foot by 15 foot patio?
They are asking for the value of x
Answer:
the value of X is 70
Step-by-step explanation:
45 + 2x - 5 = 180
combine common stuff (45 and -5)
40 + 2x = 180
-40 -40
2x=140
/2 /2
x = 70
Hi can you Answer this plss I really need it ty in advanced!
Given:
[tex]X = {0,1,2,3,4} \\ Y = {2,4,6,8,10,12} \\ Z = {3,6,9,12,15}[/tex]
So,
[tex]X∪Y = (0,1,2,3,4) \: ∪ \: (2,4,6,8,10,12) \\ = > (0,1,2,3,4,6,8,10,12)[/tex]
[tex]X∩Z = (0,1,2,3,4) \: ∩ \: (3,6,9,12,15) \\ = > (3)[/tex]
[tex](X∪Y)∩Z = (0,1,2,3,4,6,8,10,13) ∩ (3,6,9,12,15) \\ = > (3,6)[/tex]
Using the generic set operations, we will see that:
1) X U Y = {0, 1, 2, 3, 4, 6, 8, 10, 12}2) X ∩ Z = {3}3) Z = {3, 6, 9, 12, 15}How to operate with sets?
For two given sets A and B, we define:
A ∪ B as the union of the two sets, this is the set that contains all the elements from both A and B.
A ∩ B is the intersection of A and B, this set contains only the common elements of A and B.
Now we want to complete the given table:
1) X U Y is the union of sets X and Y (we do not repeat elements) so this is equal to:
{0, 1, 2, 3, 4, 6, 8, 10, 12}
2) X ∩ Z is the intersection of X and Z, the only common element between these sets is 3, then:
X ∩ Z = {3}
3) (X U Y)∩ Z
Is the set of the common elements between:
X U Y = {0, 1, 2, 3, 4, 6, 8, 10, 12}
Z = {3, 6, 9, 12, 15}
The common ones are:
3, 6, and 12, then we have:
(X U Y)∩ Z = {3, 6, 12}
If you want to learn more about sets operations, you can read:
https://brainly.com/question/2166579
what is 1.9 to the second power in expanded form?
Answer:
[tex] {1.9}^{2} = 1.9 \times 1.9 = 3.61[/tex]
Answer:
[tex]1.9 {}^{2} [/tex]
[tex]=1.9 \times 1.9[/tex]
[tex] = 3.61[/tex]
Helppp pleaseee 10 points
Answer:
-10, -3, -2.0001, -2.1, -2, -7, -5,
find the area.
help pls
Answer:
81.6 inches squared
Step-by-step explanation:
The formula for calculating all parallelograms is Area+=base*height.
The height is given to you, 6.8, the base of the figure is also given, 12.
Now all you have to do is to multiply.
That would get you to 81.6.
(When asked for area of parallelogram, the length of any line other than the height and base is not needed)
hoped this helped!
70 points!!
Find the equation of the line.
Through (-8,11); perpendicular to y=9
The equation is:___
Answer:
x = -8
Step-by-step explanation:
If the line is perpendicular to y = 9 then it will be x = ?
Given the line passes through (-8, 11), then the x-coordinate is -8, so the equation will be x = -8
What is the slope of the line that passes through the points (6,−5) and (-6, -5)
Answer:
0
Step-by-step explanation:
Slope can be conceptualized as rise over run.
To get rise, you can see the difference between the two 'y' coordinates. In this case, it's 0 (-5 and -5). At this point, since the numerator of our [tex]\frac{rise}{run}[/tex] fraction is 0, you know it's just gonna be 0 no matter the value of the run.
We are not sure what the error is here.
Answer:
The student only counted the shaded blocks
Step-by-step explanation:
[tex]3 \div \frac{1}{4} = 3 \times \frac{4}{1} = \frac{12}{1} = 12[/tex]
so it would be
[tex] \frac{3}{12} = \frac{1}{4} [/tex]
What is the area of the shaded part of the figure if x=8 ft? Use 3.14 to approximate π. A square with side lengths x feet. A quarter circle with radius x feet is cut out of the square. x=8 ft Area of a quarter circle =14 πx2 CLEAR CHECK ft2
The area of the shaded part of the figure is; 114.3ft²
Area of a quarter circle and a squareFrom the task content:
It follows that the area of the shaded portion of the figure is the sum of the area of the square and the quarter circle.The area of the square is;
A(square) = x² = 8² = 64ft².The area of the quarter circle is;
A(quarter circle) = (1/4)πx² = 1/4×22/7 × 8²A(quarter circle) = 50.3ft².
Ultimately, the area of the shaded part of the figure is; 50.3ft² + 64ft² = 114.3ft².
Read more on area of quarter circles;
https://brainly.com/question/2193853
Answer:
13.76
Step-by-step explanation:
I got it right :)
6. A car traveled 30 kilometers for 2 hours, what is its speed? A. 15.0km/h B. 28.0km/h C. 30.0km/h C. 60.Okm/h
answer :b
Answer:
A. 15.0km/h
Step-by-step explanation:
30km/2hr = 15km/hr
Answer:
A. 15.0km/H hope this helps
A roll of breakfast sausage weighing 4/5:of a pound is cut into 3 patties of the same size. What is the weight of each patty?
NO LINKS!!!
Solution:
Note that:
4x/5 ÷ 3 = 1 pattySolve for x to find the weight of each patty.
4/5 ÷ 3 = Weight of 1 patty=> 4/5 x 1/3 = 1 patty=> 4/15 = 1 pattyThe weight of a patty is 4/15 of a pound.
Answer:
4/15
Step-by-step explanation:
Hope this helps! Sorry if I am wrong.
x^5=243
what is the formular to the equation.
Answer:
x = 3
Step-by-step explanation:
x^5 = 243
Take the fifth root of each side which is the same as raising each side to th 1/5 power. Also, 243 = 3^5.
x^5 = 3^5
(x^5)^(1/5) = (3^5)^(1/5)
x = 3
Answer:
3
Step-by-step explanation:
x^5= 243
I guess we're looking for x
so what we do is just find the fifth root of 243
and that's 3
Find the volume if the cylinder. Round your answer to the nearest tenth.
࿐αɴѕωєя࿐
12.6 ft³
Step-by-step explanation:
h = 1 ft
r = 2 ft
π = 3.14
V of cylinder = πr²h
= 3.14 × 2² × 1
= 12.56
= 12.6 ft³
Hope it helps ⚜
A rectangle has a
perimeter of (12x +
8y). If one side of
the rectangle is (4x
– 2y), write an
expression of the
other side
Answer:
3x + 6y
Step-by-step explanation:
so the perimeter is 12x + 8y and a side is 4x-2y so that means that side and the side across is 8x-4y so you put it all to one side to get 6x +12y then divide that by 2 to find 1 side so the side is 3x + 6y