Answer:
y = 60°
Step-by-step explanation:
The tangent- chord angle y is half the measure of its intercepted arc , then
y = [tex]\frac{1}{2}[/tex] × 120° = 60°
The value of y is 60 °
What is the tangent- chord angle theorem?"The angle generated by a tangent to a circle and a chord is equal to half the angle measure of the intercepted arc," is another way to state the Tangent-Chord theorem. Since the angle measure of an intercepted arc is double that of the inscribed angle that subtends it, this is equivalent to what we have demonstrated.The measure of an angle formed by a tangent and a chord meeting at the point of tangency is half the measure of the intercepted arc.Given , the angle is 120°
Now apply the tangent- chord angle theorem, " a chord meeting at the point of tangency is half the measure of the intercepted "
y = 1/2 × 120°
y = 1/2 × 120° = 60°
Therefore, the value of angle y is 60°.
Learn more about the Tangent-Chord theorem brainly.com/question/2193714
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Find the total surface.
A)75.4
B)100.5
C)88
D)44
The Answer would be C) 88
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:
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
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!
Can someone please help me with question 5?
I need REAL Help
Answer:
Step-by-step explanation:
the slope is uphill.. so we know it's positive
I can also see that that it's 1 up and 1 over so the slope is 1
the line also hits at -9 on the y axis
so
y = x - 9
Teresa received $80 for her birthday. At what rate would she have to invest to have $90 at the end of the year
Laura bought some tacos for her and her friend to split. She paid a total of $7.08 for 12 tacos. What was the cost of each taco
Answer:
its 0.59
Step-by-step explanation:
Because if you divide 7.08 and 12 then you get the answer.
A farmer plants the same amount every day, adding up to 212 acres at the end of the year. If the year is 23 over, how many acres has the farmer planted?
Answer:
4876 acres
Step-by-step explanation:
212 x 23 = 4876
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
- 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
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 :(
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 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)
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:
What is the volume of a rectangular prism that has a length of 8 square inches, a width of 6 3/4 square inches, and a height of 5 1/4 square inches?
Given:
Let us consider,
Length of a rectangular prism = 8 inches
Width = [tex]6\dfrac{3}{4}[/tex] inches
Height = [tex]5\dfrac{1}{4}[/tex] inches
To find:
The volume of the rectangular prism.
Solution:
The volume of a rectangular prism is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting the given values, we get
[tex]V=8\times 6\dfrac{3}{4}\times 5\dfrac{1}{4}[/tex]
[tex]V=8\times \dfrac{27}{4}\times \dfrac{21}{4}[/tex]
[tex]V=\dfrac{567}{2}[/tex]
[tex]V=283.5[/tex]
Therefore, the volume of the rectangular prism is 283.5 cubic inches.
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
The school buses at a middle school each hold 38 students. The school has, b, buses.
Write an equation that shows the total number of students, s, that can be carried by all of its buses.
Answer:
38b = s
Step-by-step explanation:
38 students multiplied by the number of buses = the total number of students that can be carried by bus.
Please lmk if you have questions
HELP HELP HELP HELP, PLEASE QUICKLY
Step-by-step explanation:
so easy hahahahahah you are just a beginner
Ragon, who lives on this planet, does a survey and finds that her colony of 237 contains 45 black-footed, one-headed Mizjigs; 69 red-footed, two-headed Mizjigs; and 115 one-headed Mizjigs.
How many black footed Mizjigs are there in Ragon's colony?
The answer is A. 98.
Because when you subtract 115 - 45 it equals 70 then you add 70 + 69 which equals 139 then you subtract 237 - 139 it equals 98 which is your answer!
Hope this helps!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
I need help plz plspdlspslslsl 7.2 x 7.2 x 7.2 x 7.2 x 7.2 x 7.2
Answer:
Step-by-step explanation:
7.2^6
Answer:
[tex]7.2^{6}[/tex]
Step-by-step explanation:
The answer is [tex]7.2^{6}[/tex] because your multiplying 7.2 6 times.
Hope this helps!
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!
A bag contains 9 marbles: 3 are green, 4 are red, and 2 are blue. Karen chooses a marble at random, and without putting it back, chooses one at random. What is the probability that the first marble is blue and the second is green? Write your answer as a fraction in simplest form.
what are the measures of angle B and D
Answer:
n=10
Step-by-step explanation:
Rob's office recycled a total of 12 kilograms of paper over 2 weeks. How many weeks will it
take Rob's office to recycle a total of 18 kilograms of paper? Assume the relationship is
directly proportional.
weeks
Submit
Answer:
Weeks thats easy man
Step-by-step explanation:
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
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
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
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?
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
?