A pair of tangents to a circle which is inclined to each other at an angle of 60 degree are drawn at ends of two radii. The angle between these radii must be :
Answers
Answer:
The angle between these radii must be 120º.
Step-by-step explanation:
According to Euclidean Geometry, two tangents to a circle are symmetrical to each other and the axis of symmetry passes through the center of the circle and, hence, each tangent is perpendicular to a respective radius. We represent the statement in the diagram included below.
Then, we calculate the angle of the radius with respect to the axis of symmetry by knowing the fact that sum of internal angles within triangle equals 180º. That is to say:
[tex]\theta = 180^{\circ}-90^{\circ}-30^{\circ}[/tex]
[tex]\theta = 60^{\circ}[/tex]
And the angle between these two radii is twice the result.
[tex]\theta' = 2\cdot \theta[/tex]
[tex]\theta' = 120^{\circ}[/tex]
The angle between these radii must be 120º.
Related Questions
What is the slope of the line through (−1,−7) and (3,9)?
Answers
Answer:
The slope is 4.
Step-by-step explanation:
Point slope form is y-y1 over x-x1. I put the coordinates in like this.
9-(-7) over 3-(-1) so thats 9+7 over 3+1. 16 over 4 is 4.
Answer:
The answer is 2
Step-by-step explanation:
The average temperature in May is
63.4º.
The average temperature in January is
42.34º.
About how much warmer is it in May
than in January?
Answers
A fish was 7 feet below sea level and
descended 12 feet. The expression
-7 - 12 represents this situation.
Find –7 – 12 to determine the location of
the fish compared to sea level.
Answers
Answer:
Hi... If we assume the sea level as the origin or zero, the sum of seven and twelve times or nineteen, and because it is under the sea, its sign becomes negative... - 19
What is the annual interest on a 5,000 loan with a simple interest rate of 6%
Answers
Answer:$50.00
Step-by-step explanation:Each monthly interest is $4.17 so you muiltiply is by 12 and get $50.00 annually
-7(x + 9) = 9(x - 5) - 14x Solve for x. SHOW WORK.
Answers
Answer:
x=-9
Step-by-step explanation:
STEP 1: Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.
[tex]9(x-5)-14x=-7(x+9)[/tex]
STEP 2: Simplify 9(x−5)−14x.
[tex]-5x-45=-7(x+9)[/tex]
STEP 3: Simplify −7(x+9).
[tex]-5x-45=-7x-63[/tex]
STEP 4: Move all terms containing x to the left side of the equation.
[tex]2x-45=-63[/tex]
STEP 5: Move all terms not containing x to the right side of the equation.
[tex]2x=-18[/tex]
STEP 6: Divide each term by 2 and simplify.
[tex]x=-9[/tex]
Answer:
x= -9
explanation in the pic above
hope it helps.
need help asap please!!
Answers
Answer:
Step-by-step explanation:
Your worth it love u
what is the reciprocal of 2 1/2
Answers
Answer:
2/5
0.4
Step-by-step explanation:
Answer:
0.4
Step-by-step explanation:
The following chart shows the number of rows in an auditorium and the total number of seats. What equation defines the number of seats with respect to the number of rows?
Answers
Answer:
S=30R+45
Step-by-step explanation:
3045/100=30R +45
So the other ones will be the same if this one is the answer. If you want you can check with the other ones. It's really easy if you get to understand it.
Answer:I am not sure
Step-by-step explanation:
what is the value of angle k
Answers
Answer:∠k = 121°
Step-by-step
Exterior Angle Theorem:
The measure of an exterior angle is equal to the sum of the two remote interior angles.
Add 31° and 90° to get ∠K
Solve the inequality. Graph the solutions.
Answers
Answer:
d
Step-by-step explanation:
i took the test
Answer:
C. x < -5 or x > 5
Step-by-step explanation:
can someone help me out i don’t understand
Answers
Answer:
-4
Step-by-step explanation:
180-80=100
100-64=36
36-44=-8
-8/2=-4
Write an inequality that has no solution when
solved-- meaning your answer needs to have a
variable in it.
Answers
Answer:
3x > 3x+2
Step-by-step explanation:
inequality with no solutions will give you something that is never true like
3 > 5 so for example you can have
3x > 3x+2
HELPPP PLZZZZZ I DONT KNOWW HOW TO DO THSSS
Answers
Answer:
Join Zoom Meeting
Meeting ID: 580 387 3474
Passcode: 1234
Answer:
Step-by-step explanation:
y=-x-4
The high for yesterday was 90°F, today the high is 78°F. What is the percent decrease in the
temperatures?
Answers
Answer:
The temperature from yesterday to today decreased by 12 degrees fahrenheit.
Step-by-step explanation:
Ummm... it's true :)
find the slope of the line√3y-x-2√x
Answers
An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times?
A. 2 factorial over 7 factorial
B. 7 choose 2 times 0.2 squared times 0.8 to the fifth power
C. 0.2 squared over 0.8 to the fifth power
D. 2(0.2)(0.8)
E. (0.2)2(0.8)5
Answers
Answer:
B
Step-by-step explanation:
A local school donated canned goods to help the community. Cans were packed into boxes each weighing 16.4 pounds. The volunteers packed 9 boxes. How many total pounds of food did they collect? A. 97.6 B. 147.6 C. 976 D. 1,476
Answers
Answer:
147.6 pounds of foodStep-by-step explanation:
Each box weighed 16.4pounds, if the volunteers packed 9 boxes, we need to calculate the total pounds of food collected. Using the equality postulate;
1 box = 16.4 pounds
9 boxes = x pounds of food
Cross multiply;
1 * x = 9 * 16.4
x = 147.6 pounds of food
Hence the volunteers collected 147.6 total pounds of food
Help will get brainliest
Answers
for question 3 answer is 53 7/8 feet
What value of x satisfies the equation x/4 + x/2 =9
Answers
"12" is the correct value of "x" which satisfies the given equation.
The given equation is:
→ [tex]\frac{x}{4} +\frac{x}{2} =9[/tex]
By taking L.C.M, we get
→ [tex]\frac{x+2x}{4}= 9[/tex]
→ [tex]\frac{3x}{4} =9[/tex]
By applying cross-multiplication, we get
→ [tex]3x=36[/tex]
→ [tex]x = \frac{36}{3}[/tex]
→ [tex]= 12[/tex]
Thus the above is the right answer.
Learn more about equation here:
https://brainly.com/question/1054939
−6x+14<−28 AND3x+28≤25
Answers
Answer:
x<7,x< or = to -1
Step-by-step explanation:
-6x+14<-28
-6x<-28-14
-6x<-42
x<-42÷-6
x<7
[tex]3x \leqslant 25 - 28 \\ 3x \leqslant - 3 \\ x \leqslant - 3 \div 3 \\ x \leqslant - 1[/tex]
Solve the inequality: 1 < x-2<5
O [3,7]
O (3,7)
O [7,3]
O (7,3)
Answers
Answer:
3,7
Step-by-step explanation:
Answer:
(3, 7 )
Step-by-step explanation:
Given
1 < x - 2 < 5 ← add 2 to each interval
3 < x < 7
Since x cannot equal 3 or 7 then use parenthesis for limits, that is
solution is (3, 7)
5(1 - 2x) = -65
( Multi- Step equations)
Please help:)<3
show steps if you can thank you!:)<4
Answers
Step-by-step explanation:
5(1-2x) = -65
5-10x = -65
65+5 = 10x
70 = 10x
7 = x
x = 7
Answer:
X=7/2
Step-by-step explanation:
5(1 - 2x) = -65
5-20x=-65
-20x=-65-5
-20x=-70
Minus sign cancel from both side
So x=70/20
X=7/2
HELP PLEASE! :) Lilith is remodeling her bathroom and needs an $8,700 loan to pay for the cost of the remodel. Which loan option will have Lilith pay the most amount in interest? 30-month loan with a 5.75% interest rate compounded annually 30-month loan with a 5.75% annual simple interest rate 24-month loan with a 6.25% interest rate compounded annually 24-month loan with a 6.25% annual simple interest rate
Answers
Answer:
Which loan option will have Lilith pay the most amount in interest
loan with a 5.75% annual simple interest rate 24-month loan with a 6.25% interest rate
Interest 3,750
Final payment 33,750
Step-by-step explanation:
1.-Interes rate compouned
Loan 30,000
% 5.75%
Time( Years) 2.50
Interest 4,500
Final payment 34,500
2.-Simple interest
Loan 30,000
% 5.75%
Time( Years) 2.50
Interest 4,313
Final payment 34,313
3.-Simple interest
Loan 30,000
% 6.25%
Time( Years) 2.00
Interest 3,750
Final payment 33,750
4.-Interes rate compouned
Loan 30,000
% 6.25%
Time( Years) 2.00
Interest 3,867
Final payment 33,867
The loan option that will cause Lilith to pay the most interest is a 30-month loan with a 5.75% interest rate compounded annually.
A simple interest is a kind of interest that is charged only on the principal while a compound interest is a kind of interest that is charged both on the principal and the interest.
The loan option that will cause Lilith to pay the most interest is a 30-month loan with a 5.75% interest rate compounded annually.
Learn more about compound interest: https://brainly.com/question/25857212
Please help me with this problem
Answers
Answer:
The angle of EDA is 45 and I believe BE is 19.
Step-by-step explanation:
The temperature at 6:00 pm was 15 degrees Celcius. The temperature dropped 2 degrees Celcius per hour. What was the temperature at 4:00 am
Answers
Answer:
-5 Celsius
Step-by-step explanation:
You find the hours between which is 10 then you multiply 10 to 2 and then subtract
Last month you spend $30 on clothing this month you spent 160% of what you spent last minute set up a proportion to model this situation how much did you spend this month
Answers
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that last month $30 was spent on clothing and that this month, 160% of what was spent last month.
The equation to to model this situation will be:
= 160% × $30
= 160/100 × $30
= 1.6 × $30
= $48
That means $48 will be spent this month.
Students at Mendel Middle School are planning a fair for their school's fundraiser. Liam volunteers to help plan the event. The first month, he volunteered for x hours. The next month, he volunteered for 1 2/3 times as many hours as he had the first month. If he volunteered for a total of 40 hours, how many hours did he volunteer during the first month? Write an equation to represent the situation and solve.
Answers
Answer:
15 hours
Step-by-step explanation:
[tex]x[/tex] is the number of hours that Liam volunteered in the first month
The next month he volunteered [tex]1\dfrac{2}{3}[/tex] times the time he volunteered the first month.
Total time he volunteered in the two months is 40 hours so
[tex]x+1\dfrac{2}{3}x=40\\\Rightarrow x+\dfrac{5}{3}x=40\\\Rightarrow \dfrac{3x+5x}{3}=40\\\Rightarrow x=\dfrac{40\times 3}{8}\\\Rightarrow x=15[/tex]
Time he volunteered in the first month is 15 hours.
what is 1/35 divided by 2 5/7? Please help!
Answers
Answer:
1/95
Step-by-step explanation:
2 5/7 = 19/7
1/35 divided by 2 5/7
1/35 ÷ 19/7
1/35 × 7/19
1 × 7/35 × 19
7/665 = 1/95
What is the value of y in the equation 2(4y − 1) = 6? (4 points) a 0 b 1 c 6 d 8
Answers
Answer:
B; 1
Step-by-step explanation:
divide both sides of the equation by 2
4y-1=3
move the constant to the right
4y=3+1
calculate (add the numbers)
4y+4
divide both sides by 4
y=1
Answer:
b
Step-by-step explanation:
Which relation is a function
Answers
Answer:
A.
Step-by-step explanation:
A function is a relation in which every input or value in the domain is paired with exactly one output or value in range.
Draw vertical to check if there is one output for one input.
Hope it is useful...