what are the measures of angle B and D
Answer:
n=10
Step-by-step explanation:
Patrica has a bank balance of -$54 . if she deposit $100 what is her new Balance
Answer:
56 (positive, not negative)
Step-by-step explanation:
she will pay off the debt from the original amount she owed using part of the $100. With the debt being payed off , the remainder will be $56.
in other words ;
100+54= 56.
Henceforth , the number 56.
thank you!
Regular hexagon ABCDEF is inscribed in circle X and has an apothem that is 6√3 inches long. Use the length of the apothem to calculate the exact length of the radius and the perimeter of regular hexagon ABCDEF. In your final answer, include your calculations.
Answer:
Part A
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the given values we get;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
R = 12 inches
The radius of the circumscribing circle is 12 inches
Part B
The length of each side of the hexagon, 's', is;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
s = 12 inches
The perimeter, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon is 72 inches
Step-by-step explanation:
The given parameters of the regular hexagon are;
The length of the apothem of the regular hexagon, a = 6·√3 inches
The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;
[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]
Where;
n = The number of sides of the regular polygon = 6 for a hexagon
'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;
Part A
Therefore, we have;
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the values gives;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
The circumradius, R = 12 inches
Part B
The length of each side of the hexagon, 's', is given as follows;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore, we get;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
The length of each side of the hexagon, s = 12 inches
The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon = 72 inches
Answer: radius = 12, perimeter = 72
Step-by-step explanation:
We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.
so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6
long leg = 6√3
long leg = short leg √3
short leg = 6
hypotenuse (radius) = 2(short leg)
hypotenuse (radius) = 2(6)
hypotenuse (radius) = 12
The radius of hexagon ABCDEF = 12 inches
Perimeter = r (sides)
Perimeter = r (6)
Perimeter = 12 (6)
Perimeter = 72
The perimeter of hexagon ABCDEF = 72 inches
a cylinder with radius 6 units as shown has a volume of 72 cubic units. What is the height of the cylinder?
•2/pie units
•6/pie units
•2pie units
•6pie units
?
Find the total surface.
A)75.4
B)100.5
C)88
D)44
The Answer would be C) 88
FREE PTS! If you were trapped on a island, what is one thing you would bring?
Answer:
I would bring the Harry Potter book collection so I wouldn't be bored, please mark brainliest!
Step-by-step explanation:
Hi there! please please help:)) have a good day
Answer:
b
Step-by-step explanation:
sorry if wrong dont report
Answer:
can barely read the graph luv :(
Select the correct answer.
Consider this equation.
cos(8) = -
If 8 is an angle in quadrant II, what is the value of tanê)?
ОА.
15
8
ов. 15
ос. -
✓15
8
OD. 15
Using trigonometric identities, it is found that the value of the tangent of the angle is given by:
B. [tex]-\frac{\sqrt{15}}{7}[/tex]
What is the tangent of an angle?The tangent of an angle is given by it's sine divided by it's cosine, that is:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
In this problem, we have that:
[tex]\cos{\theta} = -\frac{7}{8}[/tex]
The following identity is applied:
[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]
Then:
[tex]\sin^2{\theta} + \left(-\frac{7}{8}\right)^2 = 1[/tex]
[tex]\sin^2{\theta} + \frac{49}{64} = 1[/tex]
[tex]\sin^2{\theta} = \frac{15}{64}[/tex]
[tex]\sin{\theta} = \pm \frac{\sqrt{15}}{8}[/tex]
Since it is on the second quadrant, it is positive, hence:
[tex]\sin{\theta} = \frac{\sqrt{15}}{8}[/tex]
Applying the tangent equation:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
[tex]\tan{\theta} = \frac{\frac{\sqrt{15}}{8}}{-\frac{7}{8}}[/tex]
[tex]\tan{\theta} = -\frac{\sqrt{15}}{7}[/tex]
More can be learned about trigonometric identities at https://brainly.com/question/22591162
3-108. Write an equation and find the answer for each of the following problems. Give answers in decimal form. Homework Help a. What is the product of three tenths and four hundredths?
1. Whats the exact value of Y?
2. Whats the exact value of X?
Answer:
Hello! The answer is in this link.
Step-by-step explanation:
8518-06-04-10-15-instructional.mp4. I hope this helps! Have a great rest of your day!
Mrs. James has $40.50 to spend at the store. She wants to buy a dress that costs thirty dollars and necklaces that cost $3.50. How many necklaces can she buy?
Answer:
3 necklaces
Step-by-step explanation:
$40.50-$30.00=$10.50 Subtract her total money and cost of dress
$10.50-$3.50=$6.00 subtract each necklace price from remaining money
$6.00-$3.50=$3.50 keep subtracting price of necklace
$3.50-$3.50=$0 that was 3 necklaces
The height of a triangle is 6 m more than its base. The area of the triangle is 56 m². What is the length of the base?
Answer:
8
Step-by-step explanation:
x(x+6)/2=56
x^2(6x)=112
x^2(6x)-112=0
By trial and error, we can try base =1, height = 7, etc
base =8
height = 14
Proving That All Circles Are Similar give: cicrcle x with radius r and circile y with radius s prove: circle x is similar to circle y
Answer:
Two shapes are similar when they have the same shape while their sizes may be the same or different
Therefore, two similar shapes are shapes that have a relationship such that the dimensions of one of the shapes can be obtained from the dimensions of the other shape by multiplying by a scale factor
All circles have the same shape and are defined by their center and radius
Given circle with center at 'x' and radius 'r' and circle with center 'y' and radius 's', then there exist a scale factor a = s/r such that we have;
r × a = s
Where a = s/r, we get;
r × s/r = s
We can therefore, obtain a circle with with the same size as the circle with center 'y' and radius 's' by multiplying the radius of the circle with center at 'x' and radius 'r' by a
Therefore the circle with center at 'x' and radius 'r' is similar to the circle with center 'y' and radius 's'
Step-by-step explanation:
Just did it! <3
Hope this helps!
GUYSSS PLS HELP ME IM GONNA FAIL FRR
Answer:
x = 11
Step-by-step explanation:
180 - (82+50)
180 - 132
48
5x-7 = 48
5x = 55
x = 11
PLEASE HELP ITS DUE IN 10 MINUTES IF YOU PUT A LINK I WILL REPORT YOU AND I WILL GIVE BRAINLIEST
Answer:
|x + 7| ≥ 2 is the inequality
Step-by-step explanation:
x - b ≥ c or x - b ≤ -c
x ≥ b + c = -5 or x ≤ b - c = -9
b + c = -5
b - c = -9
2b = -14
b = -7 -7 + c = -5
c = 2
x - (-7) = x + 7
So, |x + 7| ≥ 2 is the inequality
Which expression means the same as "25 less than 5y"?
A. 5y - 25
B. 25 - 5y
C. 5y - 25
D. 25 = 5y
Answer:
a) 5y - 25
Step-by-step explanation:
Teresa received $80 for her birthday. At what rate would she have to invest to have $90 at the end of the year
Jada sells ground paprika.
Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is graphed.
Answer:
The answer is 35 kilograms of paprika to cover her costs exactly.
Step-by-step explanation:
The price of a video game was reduced from $60 to $45. By what percentage was the price of the Vedic games reduced.
Answer:
[tex]33.3\%[/tex]
Step-by-step explanation:
Given: price of a video game was reduced from [tex]\$60[/tex] to [tex]\$45[/tex]
To find: percentage decrease in the price of the Vedic games
Solution:
Old price of the game [tex]=\$60[/tex]
New price of the game [tex]=\$45[/tex]
Decrease in the price of the Vedic games [tex]=\$60-\$45=\$15[/tex]
Percentage decrease in the price of the Vedic games = (Decrease in the price of the Vedic games × 100) ÷ New price of the game
[tex]=\frac{15(100)}{45} =\frac{100}{3}\%=33.3\%[/tex]
consider the expression
2⁶/2³
what is the value of the expression?
its urgent
The value of the expression is 8. I hope this helps!!!
what is the answer to the equation “what is 3 time 5”
Answer:
15
Step-by-step explanation:
When you multiply 3 to 5 you get 15 it is basic math. Or you can count out 5 plus 5 plus 5 if you need too.
SOMEONE DO THIS QUICKLY! ITS DUE IN AN HOUR
Answer:
10. Y=151°
Z=29°
X=29°
11.
y: 61°
X: 151°
z:119°
12.
y:125°
x:55°
z:55°
13.63°
14.115°
15.131°
16.X=13°
17.X=4°
18.X=21°
19= X=7°
20= X=12°
21= X=9
y> - 1/2 x + 3
What is the y-intercept
(x,y)
What is the slope
Will the line be solid or dorted
Answer:
0,3
Step-by-step explanation:
enter in a graphing calculator see where you hits 0
Answer:
the answer is 0,3
someone help me, will be giving brainliest, thanks. this is due today. just one question.
Answer:
8,-6
Step-by-step explanation:
x^2 -6x +8 = 0
(x-4)(x-2)
- 3y + 4xy -2x^2 + 2x + y^2 - 4xy + 2y + 3x^2
Answer:
x² + y² + 2x - y
Step-by-step explanation:
-3y + 4xy - 2x² + 2x + y² - 4xy + 2y + 3x²
3x² - 2x² + y² + 2x - 3y + 2y + 4xy - 4xy
x² + y² + 2x - y
Cups by the water cooler are in the shape of a cone. The height is 15 cm and the diameter is 7.6 cm.
What is the volume of one water cooler cup, in cubic centimeters? (Use 3.14 for
π.)
Answer:
226.7 cm³
Step-by-step explanation:
The cone volume formula is V = (1/3)(base area)(height).
Here that comes out to V = (1/3)(pi)(3.8 cm)^2·15 cm, or 226.7 cm³
HELP HELP HELP HELP, PLEASE QUICKLY
Step-by-step explanation:
so easy hahahahahah you are just a beginner
What is the area 38cm 16cm 20cm 18cm
Which of the following words/phrases does not belong? rate of change, y-intercept,slope, change in y/change in x HURRY ILL GIVE BRAINLEST
Answer
rate of Change is the odd one I think
A part is being machined. The starting thickness
of the part is 6.18 inches. Three cuts are
taken. Each cut is three-tenths of an inch.how many were removed ?