Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.
20
5
o
x
Оа
125
Ob
20.6
19.4
Od
11.2
Answers
Answer:
11.2
Step-by-step explanation:
x is the length of a radius of the circle, all radii have the same length.
the chord of length 20 is perpendicular to the segment of length 5, so the segment bisects the chord , so half of the chord is length 10.
The segment of length 10 is one leg of a right triangle while the segment of length 5 is the other leg. The hypotenuse is also a radius of the circle.
The length of the hypotenuse can be found by they Pythagorean Theorem, a^2 + b^2 = c^2, so
5^2 + 10^2 = c^2 or
25 + 100 = c^2 or
c^2 = 125 or
c = [tex]\sqrt{125}[/tex] = ≈ 11.2
so if one radius is approximately 11.2, then all radii (including the one of length x) are 11.2
Related Questions
Solve the quadratic equation given below.
(12x – 27)^2 = 256
Answers
Answer:
x
2
+
12
x
−
64
=
0
⟹
x
2
+
12
x
=
64.
x
2
+
12
x
=
64
⟹
(
4
∗
1
)
(
x
2
+
12
x
)
=
(
4
∗
1
)
64
⟹
4
x
2
+
48
x
=
256
All this is straight forward. This method now requires you to add the square of the original coefficient of x to both sides of the equation.
The original coefficient is 12 so its square is 144.
4
x
2
+
48
x
=
256
⟹
4
x
2
+
48
x
+
144
=
256
+
144
=
400
⟹
4
(
x
2
+
12
x
+
36
)
=
20
2
⟹
2
2
(
x
+
6
)
2
=
20
2
.
Step-by-step explanation:
Answer:
x=43/12, 11/12
Step-by-step explanation:
subtract and write the difference in simplest form 12 5/8 - 7 1/3
Answers
Answer:
5 7/24
Step-by-step explanation:
Given the following mathematical expression;
12 5/8 - 7 1/3
First of all, we would subtract the whole numbers;
12 5/8 - 7 1/3 = (12 - 7) 5/8 - 1/3
12 5/8 - 7 1/3 = 5 [5/8 - 1/3]
Next, we subtract the fractions from each other;
5/8 - 1/3
Lowest common multiple (lcm) = 24
5/8 - 1/3 = (15 - 8)/24
5/8 - 1/3 = 7/24
Combining the two parts, we have;
12 5/8 - 7 1/3 = 5 7/24
OK WHAT IS THE FRACTION FORM OF THE RATIO 1:3
Answers
Answer:
Part A is 1/4
Part B is 3/4
Step-by-step explanation:
1(A):3(B)
brainliest?
how do i solve this and what is the answer?
Answers
Answer:
I totally get why you are asking , how do I solve this. there is so much implied about this
Step-by-step explanation:
1st you have to recognize that ∠ACB ( in my drawing ) has that same angle as the arc from A to B , so that's implied. next you have to recognize that the triangle formed by ACB with the 124 degree angle at C is an isosceles and therefore has identical angles at A and B so that's 180 = 124 + 2A , so A = 28° and so does B , then , b/c we know that small angle... you also have to know, that the line AC is perpendicular to AD. that they from a right angle and there for... you now know , that ∠BAD is the other part of that 90 or 90= 28 + ∠BAD so ∠BAD = 62°
I went through that kinda fast, there was several "leaps" of using logic to get to the correct answer , using things you know from prior understanding about angles , circles and geometry, you are putting all of the parts together here. :/ kinda daunting in some ways.
A tetrahedron is a triangular pyramid whose four faces are identical equilateral triangles. The total lateral surface area is 93 square centimeters. Find the surface area of the tetrahedron.
Answers
Answer:
Step-by-step explanation:
The total area is four times a face area and the lateral area is three times a face area.
Let x be the total surface area then
x/93=4/3
x=4(93)/3
x=372/3
x=124 cm^2
The sum of three consecutive even numbers is 150. What is the smallest of the three numbers ?
Answers
If the sum of 3 numbers is 150, then their average is 50. Then if they are consecutive even numbers, then they are 48, 50 and 52. The smallest 48.
Answer:
the smallest of the three numbers is 48
48+50+52 =150
Step-by-step explanation:
smaller number = x
next even number = x+2
next even number = x+4
x+x+2 + x+4 =150
3x+6= 150
3x=144
x= 48
48+2 = 50
48+4 = 52
48+50+52 = 150
Given that p(-3) = 0, p(-1) = 0, and p(5) = 0, which expression could be p(x)?
A) x3–x2–17x –15
B) x3+ x2–17x + 15
C) x3–3x2–13x + 15
D) x3–9x2+ 23x –15
Answers
Answer:B
Step-by-step explanation:
The expression which satisfies all three points will be x³–x²–17x –15.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given points are p(-3) = 0, p(-1) = 0, and p(5) = 0,
So checking the points in the function:-
P(x) = x³–x²–17x –15.
p(-3) = (-3)³–(3)²–(17x-3) –15 = -27 - 9 + 51 -1 5 = 0
p(-1) = (-1)³– (-1)²–( 17x -1) –15 = -1 -1 + 17 - 15 = 0
p(-5) = (5)³–(5)²–(17x5) –15. = 125 - 25 -85 - 15 = 0
Therefore the expression which satisfies all three points will be x³–x²–17x –15.
To know more about Velocity follow
https://brainly.com/question/25749514
#SPJ1
Helpppppñoppopp it’s due in an hour
Answers
Answer:
1526.8...........hope this helps:)
Someone please help:)
Answers
Answer:
2. Addition property of inequality. You're adding 6x to both sides.
3. 4x = 28
4. 4x/4 = 28/4 Justification: Division property of inequality
You're dividing both sides by 4.
5. x = 7
Hope that helps.
Two parallel lines are cut by a transversal as shown below
Answers
Answer:
<7=123
<6=57
Step-by-step explanation:
exterior angles are congruent, they have equal measure.
<1+<2=180
123+<2=180
<2=180-123
<2=57
<2 is corresponding with <6
They have the same measure
4.) A bag contains colored tiles.
.
3 tiles are red
6 tiles are green
3 tiles are blue
.
A tile will be randomly selected from the bag. What is the probability in decimal form that the
tile selected will be green?
F
0.6
G
0.33
H 0.5
J 0.75
Answers
Answer:
H.
Step-by-step explanation:
Answer:
AHHHH
Step-by-step explanation:
AHHH
I don't know how to find this angle.
Answers
Answer:
i think it is at least sum where between the 30s and 40s
Step-by-step explanation:
HELP PLEASE!!!!!! PLEASE!!!!
Answers
Answer:
x = 15°
Step-by-step explanation:
7x + 28° = 133° { being vertically opposite angles }
7x = 133° - 28°
7x = 105°
x = 105° / 7
x = 15°
< WPZ = 133° {being vertically opposite angles }
OR
< WPZ = 7x + 28° = 7 * 15 + 28° = 133°
Hope it will help :)❤
geometry question pls help!!!
Answers
Answer:
First option is the correct answer
Step-by-step explanation:
Multiply the area of the circle by [tex] \frac{360\degree - x}{360\degree} [/tex]
PLEASE HELP!!!!!!!!!!! A clown has two performances today, in cities A and B, which are 240 km apart. The clown drives from City A to City B at a certain speed and performs. On his way back to City A, he drives half the distance at the same speed as before, but then increases his speed by 10 km/h to be on time for his performance in City A. Thus, the drive from B to A takes 2/5 of an hour less than the drive from A to B. At what speed does the clown drive from A to B?
Answers
Answer: 50 km/hr
240 = rt
120 = rt1
120 = (r+10)t2
t1 + t2 = t - 2/5 ==> t2 = 1/2 t - 2/5
So you get
240 = rt
120 = (r + 10)(1/2 t - 2/5)
Solve the system
You het 50 km/hr
How do you divide 336 by 6 by long dvision step by step?
Answers
Answer:
56 is your answer
Step-by-step explanation:
336/6=(56×3)/3=56
Door
½ gallon per 2 doors
Bench
⅓ gallon per bench
Austin has 4 gallons of paint. He painted 8 doors. How many benches can he paint with the paint that is left? Show your work. Use the chart to help you.
Answers
Answer:
77
Step-by-step explanation:
that is the answer i got i did a quiz with the same question not too long and i got a 100 and i putt 77 aas my answer!!!!!!!!1
A rectangular pool has a width of 24 feet. A second rectangular pool has a perimeter of 48 feet, which
is __1
3
the perimeter of the first pool
Answers
Answer:
Let x = the length
Let P = the perimeter of the first pool
48 = (1/3)P
144 feet = P
P = 2l + 2w
144 = 2x + 2(24)
144 = 2x + 48
96 = 2x
48 feet = x
Please help so I can make my family proud
Answers
Answer:
A = 83.5m^2
Step-by-step explanation:
9 * 19 = 171m for the complete rectangle
9 - 4 = 5
5 * 19 = 95
95 / 2 = 47.5m for the triangles
9 * 4 = 36m
36 + 47.5 = 83.5m
Plz mark as brainliest if correct! Have a nice day!!!
-Lil G
Both Amy and Ed travel 100 miles to their destination. They begin at the same
time, but Amy drives at 50 miles per hour and Ed drives at 40 miles per hour.
How much sooner will Amy arrive to the destination than Ed?
Answers
Answer:
Since there are two cars, each car, then, drove 104/2 = 52 miles. But one car is traveling 8 miles per hour faster.
Step-by-step explanation:
10 points
Write an equation of the line in slope-intercept form -5,1) 0,-3) A) y=-4/5x-3 B) y=-4/5x+3 C) y=-5/4x-3 D) y=-5/4xt3
Answers
Answer:
A
Step-by-step explanation:
slope rise/run= -4/ 5
plugging it in we get
y= -4/5x+b
-3=-4/5x+b
-3= -4/5(0) +b
-3=0+b
b=-3
so we get y= -4/5x-3
or A
if my answer helps please mark as brainliest.
Find the measure of the supplement of a
16° angle.
Answers
Answer:
164
Step-by-step explanation:
Hey There!
If they are supplementary angles then they will add up to equal 180
So given one of the angles (16) we subtract that from 180 to find the value of the missing angle
180-16=164
Your answer is 164
Hope this helps :)
Solve for x in the equation 2x2 + 3x-7 = x2 + 5x+39
Answers
Answer: x=1+√47 or x=1−√47 (Assuming that the "2x2" is 2x^2)
Step-by-step explanation:
Step 1: Subtract x^2+5x+39 from both sides.
2x2+3x−7−(x2+5x+39)=x2+5x+39−(x2+5x+39)
x2−2x−46=0
For this equation: a=1, b=-2, c=-46
1x2+−2x+−46=0
Step 2: Use quadratic formula with a=1, b=-2, c=-46.
x=1+√47 or x=1−√47
Answer:
The reviews upon the bottom and such were confusing, but for the edge test, the answer is ;
d. x = 1 +/- _/47
Step-by-step explanation:
edg- answers ;p
Please help look at picture and round to the nearest tenth
Answers
Answer:
5) 4.4 in
6) 12 km
7) 10 cm
8) 2 cm
Step-by-step explanation:
5) 8.8/2 = 4.4
6) 24/2 = 12
7) 20/2 = 10
8) 4/2 = 2
Answer and Step-by-step explanation:
To find the radius, you simply divided the diameter of the circle by 2.
5.
8.8 divided by 2 equals 4.4 in.
6.
24 divided by 2 equals 12 km.
7.
20 divided by 2 equals 10 cm.
8.
4 divided by 2 equals 2 cm.
#teamtrees #PAW (Plant And Water)
A researcher in sports equipment is investigating the design of racing swimsuits for women. The researcher selected a samp The difference in the sample mean swim times will be calculated. Which of the following is the appropriate inference procedure for analyzing the results?
a) A two-sample t-interval for a difference between sample means
b) A two-sample t-interval for a difference between population means
c) A one-sample t-interval for a sample mean
d) A one-sample t-interval for a population mean
e) A matched pairs t-interval for a mean difference
Answers
Answer: B. A two sample t-interval for a difference between population means.
Step-by-step explanation:
The appropriate inference procedure for analyzing the results is the two sample t-interval for a difference between population means.
The two-sample T-interval is simply used in the estimation of the difference that occurs in two population means. Since two independent groups mean are being considered, the appropriate test will then be two sample t-interval for a difference between population means
Answer:
b) A two-sample t-interval for a difference between population means
Step-by-step explanation:
HELP ASAP PLS!!
what is composite area?? How do we use it in the real world???
Answers
Answer:
A composite figure (or shape) is one that can be separated into more than one of the basic figures. Examples of using it in the real world is building cars or houses.
Logan is going to invest $61,000 and leave it in an account for 20 years. Assuming
the interest is compounded continuously, what interest rate, to the nearest
hundredth of a percent, would be required in order for Logan to end up with
$103,000?
Answers
Answer:
its 2.62
Step-by-step explanation:
Answer:
its 2.62
Step-by-step explanation:
In how many ways can a teacher seat 5 girls and 2 boys in a row of 7
seats if a boy must be seated in the first seat and a girl in the last seat.
Answers
Answer:
I Don't Know
Step-by-step explanation:
Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!Sry!!!
Which equation would you use to solve the problem?
If S = 42° and ST = 8, find RS.
Answers
Answer:
c
Step-by-step explanation:
Please help. Dont put a random answer plz.
Answers
Answer:
Explination:
Work: