Point B is a point of tangency. Find the radius r of OC.
Answer:
r = 16 units
Step-by-step explanation:
From the figure attached,
AB is the tangent drawn from a point A to the circle C.
BC = r [Radius of the circle]
Length of AC = (18 + r)
AB = 30
By the property of a tangent drawn to a circle,
"Radius of a circle and tangent are perpendicular to each other"
AB ⊥ BC
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
(30)² + r² = (r + 18)²
900 + r² = r² + 36r + 324
36r = 900 - 324
r = [tex]\frac{576}{36}[/tex]
r = 16 units
Jeb and Lori went to a florist to buy flowers. Jeb bought 6 roses and 3 carnations for $20.25. Lori bought 8 roses and 3 carnations for $25.75. Find the price of one rose and the price of one carnation.
Answer:
rose: $2.75; carnation: $1.25
Step-by-step explanation:
A bag with 8 marbles has 4 yellow marbles and 4 blue marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Answer:
0%
Step-by-step explanation:
Since there are no red marbles in the bag, there is no chance that a red marble will be picked.
please help :))
ty :))
Answer:
Answer is 980.
Step-by-step explanation:
First what you should do it figure out 14^2 which is 196 then you times that by 5 which gets you 980. Hope this helps.
Answer:
The answer is 980.
Step-by-step explanation: to follow pemdas you first start with the exponents for there are no parenthesis. So to do this 14^2 is just 14x14 with is 196. Then you take that and multiply it by the 5 to get your end product. 196x5=980.
Hope this helps.
If c= 205 angle A=81 and angle B=50. b=
Assume angle a is opposite side a, angle B is opposite side b, and angle c is opposite side c,
Answer:
Solution to Problem 1:
Use the fact that the sum of all three angles of a triangle is equal to 180 o to write an equation in C.
A + B + C = 180 o
Solve for C.
C = 180 o - (A + B) = 43 o
Use sine law to write an equation in b.
a / sin(A) = b / sin(B)
Solve for b.
b = a sin (B) / sin(A) = (approximately) 5.4 cm
Use the sine law to write an equation in c.
a / sin(A) = c / sin(C)
Solve for c.
c = a sin (C) / sin(A) = (approximately) 7.1 cm
Problem 2
The angle of elevation to the top C of a building from two points A and B on level ground are 50 degrees and 60 degrees respectively. The distance between points A and B is 30 meters. Points A, B and C are in the same vertical plane. Find the height h of the building(round your answer to the nearest unit).
diagram problem 2
Solution to Problem 2:
We consider triangle ABC. Angle B internal to triangle ABC is equal to
B = 180 o - 60 o = 120 o
In the same triangle, angle C is given by.
C = 180 o - (50 o + 120 o) = 10 o
Use sine law to find d.
d / sin(50) = 30 / sin(10)
Solve for d.
d = 30 *sin(50) / sin(10)
We now consider the right triangle.
sin (60) = h / d
Solve for h.
h = d * sin(60)
Substitute d by the expression found above.
h = 30 *sin(50) * sin(60) / sin(10)
Use calculator to approximate h.
h = (approximately) 115 meters.
Problem 3
A triangle ABC has side a = 12 cm, side b = 19 cm and angle A = 80 o (angle A is opposite side a). Find side c and angles B and C if possible.(round answers to 1 decimal place).
Solution to Problem 3:
Use sine law to write an equation in sin(B).
a / sin(A) = b / sin(B)
Solve for sin(B).
sin (B) = (b / a) sin(A) = (19/12) sin(80) = (approximately) 1.6
No real angle B satisfies the equation
sin (B) = 1.6
The given problem has no solution.
Problem 4
A triangle ABC has side a = 14 cm, side b = 19 cm and angle A = 32 o (angle A is opposite side a). Find side c and angles B and C if possible.(round answers to 1 decimal place).
Solution to Problem 4
Use sine law to write an equation in sin(B).
a / sin(A) = b / sin(B)
Solve for sin(B).
sin (B) = (b / a) sin(A) = (19/14) sin(32) = (approximately) 0.7192
Two angles satisfy the equation sin (B) = 0.7192 and the given problem has two solutions
B1 = 46.0 o and B2 = 134 o
Solution 1: Find angle C1 corresponding to B1
C1 = 180 - B1 - A = 102 o
Solution 1: Find side c1 corresponding to C1
c1 / sin(C1) = a / sin(A)
c1 = 14 sin(102) / sin(32) = (approximately) 25.8 cm
Solution 2: Find angle C2 corresponding to B2
C2 = 180 - B2 - A = 14 o
Solution 2: Find side c2 corresponding to C2
c2 / sin(C2) = a / sin(A)
c1 = 14 sin(14) / sin(32) = (approximately) 6.4 cm
Exercises
1. A triangle ABC has angle A = 104 o, angle C = 33 o and side c = 9 m. Solve the triangle ABC by finding angle B and sides a and b.(round answers to 1 decimal place).
2. Redo problem 2 with the distance between points A and B equal to 50 meters.
Solutions to Above Exercises
1. B = 43 o, a = 16.0 m , b = 11.3 m
2. 191 meters.
More References and Links to Sine and Cosine Laws
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Triangles
Triangle Problems
Determine if a triangle with the following sides forms a right triangle. Explain.
10 ft, 12 ft, 30 ft
6 m, 8 m, 10 m
8 m, 16 m, 24 m
20 in, 21 in, 28 in
Answer:
10, 12, 30 - no
6, 8, 10 - yes
8, 16, 24 - no
20, 21, 28 - no
Step-by-step explanation:
Just plug them into the Pythagorean Theorem equation (a² + b² = c²)
Brₐinliest plz close to leveling up
Find the distance between the points (6, -2) and (9,4).
Answer:
75 units
Step-by-step explanation:
Answer:
5 units
Step-by-step explanation:
answer given by IXL
Evaluate
13- (-9)
need helpp
Answer:
The answer is 22.
Explanation:
Multiply -1 by -9.
[tex]13 + 9[/tex]
Add 13 + 9.
[tex]22[/tex]
Therefor, the answer is 22.
please helppp!!! will mark brainlyist
Answer:
x ≈ .1138985869
Step-by-step explanation:
[tex]tangent = \frac{opposite}{adjacent}[/tex]
[tex]tan(\frac{10}{x} ) = 26[/tex]
[tex]tan^{-1}[ tan(\frac{10}{x} )] = tan^{-1}(26)[/tex]
[tex]\frac{10}{x} = tan^{-1}(26)[/tex]
[tex]10 =x[ tan^{-1}(26)][/tex]
[tex]\frac{10}{tan^{-1}(26)} =x[/tex]
x ≈ .1138985869
x 52° 46° Find the unknown angle measure
Answer:
82 degrees
Step-by-step explanation:
It should all equal 180 so 52+46=98 and 180-98 is 82
Given the quadratic function 8x2 - 5x + 3 = y, which statement is true?
a. The quadratic is expressed in standard form; a= -8, b=5, and c= -3.
b. The quadratic is expressed in standard form; a=8, b= -5, and c=3.
c. The quadratic is expressed in standard form; a = 8, b=5, and c= -3.
d. The quadratic is not expressed in standard form because the equation is not equal to 0.
Answer:
b. The quadratic is expressed in standard form; a=8, b= -5, and c=3.
Someone please please help help me please please ASAP with my work
And NO LINKS or FILES
Answer:
1.
Blank 1: y
Blank 2: x
2.
Blank 1: x
Blank 2: y
Step-by-step explanation:
The reflection of a point along y-axis means the y value stays the same and the x-value changes its sign.
Blank 1: y
Blank 2: x
The reflection of a point along x-axis means the x value stays the same and the y-value changes its sign.
Blank 1: x
Blank 2: y
helppppppppppppppppp plzzzzzzzzzzz
Answer:
6/5
Step-by-step explanation:
If you are looking for the slope of the line it is 6/5 because starting from the origin you rise 6 (go up in this case) and run (go right in this case) 5 from the two points that you were given. The line is also going in an upwards direction so the slope is also positive. If you want to write the slope-intercept form equation you would use the slope intercept formula y=mx+b and plug in your slope (6/5) and your y-intercept, which is just 0 because it is at the origin and you would get y=6/5x or y=6/5x+0.
The school cafeteria has 13 round tables and 20 rectangular tables. Each round table has 7 chairs, and each rectangular table has 8 chairs. How many chairs are there in all?
Answer:
160 for the rectangle table and 91 for the round table
Write the 3.777 as a mixed number
Please answer (NO SPAMMING) What is the sum of 56.4t + 1650kg? Give your answer in Kg
Answer:1,706
Step-by-step explanation:
Add
Answer:
58,050,000 grams= 58050kg
Step-by-step explanation:
58059kg is the answer
i’m so confused lol need help
-10 and -1
Step-by-step explanation:
Answer:
-10, and -1
Step-by-step explanation:
A local restaurant advertises that the mode cost of their most popular meals is $8. If the costs of their most popular meals are $7, $8, $8, $12, $13, $15, $17, $18, and $20, which word or phrase best describes this kind of advertising?
accurate
inaccurate
accurate, but misleading
inaccurate and misleading
Find the y-intercept of the parabola y = x2 + x − 5.
Answer:
-5
Step-by-step explanation:
Solve the central angle problem
Answer:
arc EI = 103°
arc EGI = 257°
Step-by-step explanation:
arc HI = 77° because they are alternate angles
arc EI = (360° - 77° - 77°)/2 = 103°
arc EGI = 360° - 103° = 257°
Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60%, percent of their plants are flowers and 40%, percent are vegetables. They have 50 plants growing in the garden.
Answer: the answer is 20.
X = 3/y
Do x and y show direct variation?
This is the last test of the school year if I fail I may have to go to summer school helppp
Answer:y varies directly as x if y = kx for some constant, k. In other words, y/x is constant. y varies inversely as x if y = k/x for some constant, k.
Step-by-step explanation:
help I literally got a 4/10 in my english test and my mom is like REALLLLY mad that she took my phone so I’m using my sisters ipad and she gave me advice on this app so i don’t even know if this could help but this is the page I need to complete/it’s for term 2 (week2) basically on my test well it’s apart of it so pls help- I used all the points I think that’s what it’s called? But helpppp please
Answer:
1. their
2. your
3. there
4. You're
5. they're
6. it's
Step-by-step explanation:
Answer: Below
1. Their
2. i dont know sorry
3. There
4. Your're ( I think, I am not good at the Ys
5. They're
6. I think it's
Please do not take these answer for granted I am trying my best
Thank you and have a great nae nae
Two magnets will attract one another if
Answer:
the rule to remember is that opposites attract. every magnet has both a north and a South pole. when you place the North Pole of one magnet near the South Pole of another magnet, they are attracted to one another.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!
Answer:
The magnets have different poles facing each other ( N/S > < S/N )
solve the inequality n- 1 3/4 <-5/8
Answer:
n<
9/8
explanation
simplify n+ -7/4 < -5/8
add 7/4 to both sides
= n< 9/8
Prove the identity and include the rule
Hi there!
To begin, we can distribute sec²x with (1 - sin²x):
= sec²x - sec²xsin²x
Which simplifies to:
= sec²x - tan²x
Recall the Pythagorean identity:
1 + tan²x = sec²x
Rearrange alike to the solved for expression above:
1 = sec²x - tan²x
Thus, using the Pythagorean Identity, sec²x(1 - sin²x) = 1.
0______ -1
A.>
B.<
C.=
Answer:
B) <
Step-by-step explanation:
b is the answer because -1 is bigger than 0 so, the answer is b.
6 and 1/3 minus 4 and 1/4
221 is 65% of what number
11.25 is 75% of what number
Answer:
340; 15
Step-by-step explanation:
221 is 65% of 221
11.25 is 75% of 15
the question is on the photo anyone pls help
Answer:
3 inches per hour
Step-by-step explanation:
hope this helps