Answers
Answer: 72
Step-by-step explanation:
30+48=78
√78^2-30^2=
√5184=
72
If AO = 30, BC = 48 then, AB = 72.
What is tangent?"Tangent to a circle is the line that touches the circle at only one point."
"A tangent to a circle is always perpendicular to the radius of a circle."
For given question,
AB is tangent to circle.
Also, AO = 30, BC = 48
From figure, we can observe that,
AO = CO .......................(radius of circle)
⇒OC = 48
Also,
OB = OC + BC
⇒ OB = 30 + 48
⇒ OB = 78
We know, a tangent to a circle is always perpendicular to the radius of a circle.
⇒ AB ⊥ AO
This means, ΔAOB is right triangle.
Using Pythagoras theorem to right triangle AOB,
⇒ [tex](OB)^{2} = (AO)^{2} + (AB)^{2}[/tex]
⇒ [tex](AB)^2 = (OB)^{2} - (AO)^{2}[/tex]
⇒ [tex](AB)^2=(78)^2-(30)^2[/tex]
⇒ [tex](AB)^2=5184[/tex]
⇒ [tex]AB=\sqrt{5184}[/tex]
⇒ [tex]\bold{AB=72}[/tex]
Therefore, option (D) is the correct answer.
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Related Questions
Please help I really need it
Answers
Answer:
first option
Step-by-step explanation:
Given
y = 2(x - 3)² + 1
Rearrange making x the subject
Subtract 1 from both sides
y - 1 = 2(x - 3)² ( divide both sides by 2 )
[tex]\sqrt{\frac{y-1}{2} }[/tex] = (x - 3)² ( take the square root of both sides )
± [tex]\sqrt{\frac{y-1}{2} }[/tex] = x - 3 ( add 3 to both sides )
± [tex]\sqrt{\frac{y-1}{2} }[/tex] + 3 = x
Change y into terms of x with x being the inverse, that is
[tex]f^{-1}[/tex] (x) = ±[tex]\sqrt{\frac{x-1}{2} }[/tex] + 3
In a classroom, there are 5 girls and 7 boys. What is the chancethat the teacher will choose a girl to answer a question?
Answers
Answer:
5/12!
Step-by-step explanation:
So, imagine the denominator as the whole classroom, i.e. rephrase __ out of 12 to __/12. To get the total class, just add up both groups, which gets you 12! now, 5 out of the 12 kids are girls, so, put 5 in the last sections blank! i hope this helped!!!
Given that m is parallel to n, what must be true of the two lines? Check all that apply.
Answers
Answer:
I don't have the options but I know parallel lines will never touch, they have the same slope, and the distance between the lines never changes
Which character is the sweetest yet strongest character you know? (Like any from Disney, Pixar, ect.)
Answers
Answer:
Vanellope from Wreck-It-Ralph (Disney.)
Step-by-step explanation:
Answer:
aphmau from mystreet its a game anime lol
Step-by-step explanation:
Help please
33 ÷ 3 + 3(5^2 - 2 + 5)
Answers
Answer:
95
Step-by-step explanation:
Answer:
392
Step-by-step explanation:
5*2-2+5=28
33/3+3=14
28*14=392
. Simplify: (2 x 2 + 6-10 ÷
2)
Answers
Answer: 5
Step-by-step explanation:
You see 2x2 = 4 right and since this is operation 2 / 10 = 5 and 6-5 = 1 so add 1 and that gives you 5
2x2 = 4 / 10/2 = 5 / 6-5 = 1 +4 = 5
Answer:
= 4x + -4
Step-by-step explanation:
Let's simplify:
[tex]2x(2) + 6 -10 \\ = 4x + 6 - 10[/tex]
Combine Like Terms:
[tex]=4x+6+−10
\\ =(4x)+(6+−10) \\ =4x+−4[/tex]
On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2). How do the areas of the parallelograms compare? The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2. The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2. The area of parallelogram 1 is equal to the area of parallelogram 2. The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
Answers
Answer:
A) The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is 2 square units greater than the area of parallelogram. Option 2 is correct.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
A₁ is the area of parallelogram 1
A₁ is the area of parallelogram 2
l₁ is the distance between the points (2,6),(0,2)
l₂ is the distance between the points (4,0)(0,2)
b₁ is the distance between the points (2,0),(0,-2)
b₂ is the distance between the points (2,6),(4,-6)
A₁ = l₁ × b₁
A₁=4.47 ×4.47
A₁ = 19.89 sq.unit
A₂=l₂×b₂
A₂=2.82 × 6.342
A₂=17.88 sq.unit
A₁-A₂ = 19.89 sq.unit - 17.88 sq.unit'
A₁-A₂= 2.01
The area of parallelogram 1 is 2 square units greater than the area of a parallelogram.
Hence,option 2 is correct.
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Solve the quadratic equation below. Give approximate answer(s).
x^2 + 4x + 2 = 0
A
4.45 and -0.45
B
-0.59 and -3.41
са
3.41 and 0.59
D
0.45 and -4.45
Answers
Answer:
B
Step-by-step explanation:
x^2 + 4x + 2 = 0; a=1, b=4, c=2
D= b^2 - 4ac = 16 - 8 = 8>0
-> x1/2= (-b +/- √D)÷2×a= (-4 +/- √8)÷2= 2(-2 +/- √2)÷2
= -2 +/- √2
×1=-2+ √2 ≈ -0.59
×2=-2- √2 ≈ -3.41
therefore, b)
GiGi’s scores from her board game are 25, 35, 20, 27, 32, and 21. Myra’s scores are 18, 23, 25, 35, 40, and 15.
Which one has the higher mean?
Answers
Answer:
GiGi.
Step-by-step explanation:
To find GiGi's mean, add 25, 35,20, 27, 32, and 21 = 160, divide by the six games =26.66
To find Myra's, add 18, 23, 25, 35, 40, and 15 = 139, divide by the six games = 23.16
Question 1 of 10
If there are 8 successful outcomes in a sample with a size of 25, what is the
sample proportion?
O A. 0.96
O B. 0.76
O C. 0.32
D. 0.52
SUBMIT
Answers
Answer: 0.32
Step-by-step explanation:
Please explain how to do #3
Answers
A jar contains 12 oatmeal cookies, 13 sugar cookies and 5 chocolate chip cookies. The percent of cookies that are oatmeal is_?
Answers
Answer:
40%
Step-by-step explanation:
12+13+5 = 30
oatmeal = 12/30 which is 4/10 or 40%
As an estimation we are told 5 miles is 8 km.
Convert 40 km to miles.
Answers
can anyone help me solve this
Answers
Answer:
B
Step-by-step explanation:
THIS IS HOW YOU CAN FIND ANY MISSING ANGLE - ALSO SOLVES FOR X IN THIS QUESTION.
So, a traingle is 180 degrees.
A line is also 180 degrees.
We know that the angles that make up the triangle are 46, 90, and a missing angle
We need to find the missing angle to find x
To find the missing angle, we must subtract the known angles by the 180 degrees of the traingle.
So:
180-90
=
90
90-46
=
44
So we know the missing angle is 44 degrees.
Let subtract the missing angle(44 degrees) by the 180 degrees of the line:
180-44
=
136
THIS IS WHAT ANSWERS THE OPTION METHOD THAT GIVES THE ANSWER
So x equals 136. This is the missing angle x.
So, remember, both the line and the traingle are 180 degrees.
They both need to find the missing value, which we know is 44
The rest of both the triangle and line is 136 degrees.
Well, 136 degrees on the triangle is the known 90+46 degrees.
Since this will be the same on the line, we can think of x as:
90+46
This looks like answer 1.
Hope this helps! :)
Read top part so you can understand how to do future problems, and write in comments if you are confused/need more help.
11. Max is designing a hot tub for a local spa.
He wants the hot tub to have a diameter of 89 inches, What is
the approximate area required for the installation of the hot tub?
(Use 3.14 for pi.)
NO PDF PLZ
Answers
Answer:
Area required for circular hot tube = 6,218 inch² (Approx.)
Step-by-step explanation:
Given:
Diameter of circular hot tube = 89 inches
Value of π = 3.14
Find:
Area required for circular hot tube
Computation:
Radius of hot tube = Diameter / 2
Radius of hot tube = 89 / 2 inches
Area required for circular hot tube = Area of circle
Area of circle = πr²
Area required for circular hot tube = πr²
Area required for circular hot tube = (3.14)(89/2)²
Area required for circular hot tube = (3.14)(7921 / 4)
Area required for circular hot tube = (3.14)(1,980.25)
Area required for circular hot tube = 6,217.985
Area required for circular hot tube = 6,218 inch² (Approx.)
Solve the following system of equations using substitution.
4x + 2y = 12
x = y + 3
Answers
Answer:
x = 3
y = 0
Step-by-step explanation:
The method of substitution is when one solves an equation for one of the variables, and then substitutes the expression into the other equation. After doing so, one will solve the other equation for the remaining variable and then backsolve for the first variable.
4x + 2y = 12
x = y + 3
The second equation is already sovled for parameter (x), subttiute this into the other equation,
4(y + 3) + 2y = 12
Distribute,
4y + 12 + 2y = 12
Simplify,
6y + 12 = 12
Inverse operations,
6y + 12 = 12
-12
6y = 0
/6
y = 0
Backsolve for (x), substitute the value of (y) into the equation for (x) and solve,
x = y + 3
x = 0 + 3
x = 3
Answer: look at the picture, sorry I can’t solve x = y + 3 for x.
Step-by-step explanation: Hope this help :D
If it cost 16.50 for 6 shirts how much would it cost for just one shirt?
Answers
Answer:
Each shirt would cost $2.75
Step-by-step explanation:
i really need help with this!!! thank you i appreciate it
the volume of the square pyramid is ___ cubic meters
Answers
20X30=6000
Answer:
6000 m^3
Step-by-step explanation:
The basic formula for the area of a pyramid is 1/3 * b * h
where b is the base and h is the height.
The base is a square, so, we can find the area by squaring the side:
30^2 = 900.
Now, we can plug the values we have into the formula from above:
1/3 * 900 * 20
6000 m^3
Determine if the three numbers form a
triangle. If they do, is it an acute, obtuse,
or right triangle?
12, 20, 24
A. acute
B. right
C. obtuse
D. not a triangle
Answers
Answer:
In order for three numbers to form a triangle, the sum of any of the two numbers must be greater than the third number. In this case, 12+20>24, 20+24>12, and 12+24>20. Therefore, this is a triangle.
c^2_a^2+b^2
24^2_12^2+20^2
576_144+400
576_544
576>544
This is an obtuse triangle, as c^2>a^2+b^2.
Step-by-step explanation:
help me pleaseee QUICK I WILL GIVE SOMEONE BRAINLY
Answers
Answer:
B. 5626.9
Step-by-step explanation:
• volume of cylinder= pi(r)2h
• plug in the values into the equation
• pi(8)2(28)
pi=3.14 so 3.14(8)2(28)
• multiply all the values
• you get 5629. 73
• b is the closest the that answer since it says approximate
What is the vertex of the absolute value function below?
Answers
Answer:
B (-3,2) sorry i wish i would've answered sooner
Step-by-step explanation: took the test
7. Which is the area of a rectangle TYOC with vertices T(-6, 6), Y(2, 10), 0(4, 6),
and C(-4, 2)?
A 12V5 units2
B 40 units
C 20 units
D 1600 units
Answers
Answer:b
Step-by-step explanation:
If Ana spins the spinner 400 times, how many times can she expect to spin green?
Answers
Answer:
The question doesn't make sense.
Answer:
What spinner??
Step-by-step explanation:
Skyler leased a car for 36 months. Her contract said she can drive 5,000 miles per year
and will have to pay $0.30 per mile above the allowance. If she turns in the car after her
lease term with 25,000 miles driven, how much will Skyler have to pay for the extra
miles (if any)?
Answers
Answer:
She has to pay an extra $3,000
Step-by-step explanation:
36 months is 3 years. She is allowed 5,000 miles per year, so 3 x 5,000 = 15,000 miles allowed. But she drove 25,000.
25,000 - 15,000 = 10,000 extra miles
10,000 x 0.30 cents/mile = 3,000
Skyler have to pay for 10000 miles the amount is $3000.
What is the equation?A equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Skyler leased a car for 36 months.
Her contract said she can drive 5,000 miles per year and will have to pay $0.30 per mile above the allowance.
If she turns in the car after her lease term with 25,000 miles driven.
There are 12 months in a years so in 36 months,
[tex]=\dfrac{36}{12}\\\\=3 \ \rm years[/tex]
There are 3 years in 36 months.
Her contract said she can drive 5,000 miles per year, so in 3 years he drives the car;
[tex]\rm = 5000\times 3\\\\=15000 \ miles[/tex]
If she turns in the car after her lease term with 25,000 miles driven, how much will Skyler have to pay for the extra miles is;
= 25000 - 15000
= 10000
He has to pay extra amount for 10,000 miles which is;
[tex]= 10000\times 0.30\\\\= 3000[/tex]
Hence, Skyler have to pay for 10000 miles the amount is $3000.
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One angle of a triangle measures 24 more than the smallest angle in the triangle. The third angle measures twice the measure of the smallest angle.
What is the measure of the smallest angle?
24
39
52
54
Answers
Answer:
smallest angle measure 39 degrees
Step-by-step explanation:
the sum of the three interior angles in a triangle is always 180°
x= smallest
x +x+24 + 2x = 180
4x +24 = 180
4x = 156
x = 39
Answer:
B. 39°
Step-by-step explanation:
x + 24 + 2x + x = 180 is the equation I'll use.
x + 24 + 2x + x = 180 {Step 1: Combine 2x, x, x to get 4x.}
4x + 24 = 180 {Step 2: Subtract 24 from both sides (180 - 24 = 156)}
4x = 180 - 24
4x = 156 {Step 3: Divide both sides by 4 (156 / 4 = 39)}
x = 156/4
x = 39
The smallest angle is 39°. (The other two angles are 63° and 78°, respectively.)
help pls what is the sum of the rational expressions below
Answers
Answer:
the answer is A
Step-by-step explanation:
hope its right solved it myself but i know u need it fast
Which of the following pairs of functions are inverses of each other?
O A. 1(x)=2x-11 and g(x) = #11
O B. 1(x)= 38° +15 and g(x)-VI-15
O C. f(x) - & + 14 and g(x) = 8x-14
O D. ((x)=3-6 and g(x) -
)3/x+6
Helppppp!!!
Answers
Answer:
D.
f(x)= 3/x - 6 and g(x) = 3/x+6
What do you used to find perimeter
Answers
Answer:
Perimeter = 2 ( l + w )
if u r given for rectangle thats the formula
Step-by-step explanation:
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width).
Fill in table using equation. (NO LINKS WILL GET REPORTED)
Answers
Answer:
x=0, y=-1
x=4, y= -4
Step-by-step explanation:
y = -1 - 3/4(0)
y = -1 - 0
y = -1
y = -1 - 3/4(4)
y = -1 - 3
y = -4
Which scatter plot could have
A trend line with the equation below?
Y=x+4
Answers
Answer:
you're correct the second one
Step-by-step explanation: