Answers
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
Related Questions
A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 333 weeks, the sheet is only 1.251.251, point, 25 meters thick.
Let yyy represent the ice sheet's thickness (in meters) after xxx weeks.
Complete the equation for the relationship between the thickness and number of weeks.
y=y=y, equals
Answers
Answer:The question is a little incorrect, the ice sheet thickness should be 2m and not 222m.
The required function formula is,
S(t) = 2 - 0.25 t
Step-by-step explanation:
Here, the initial thickness of the ice sheet = 2 meters,
After 3 weeks, the thickness of ice sheet = 1.25 meters
Total changes in the thickness in 3 weeks = 2 - 1.25 = 0.75 meters,
⇒ Total changes in the thickness in 1 weeks = 0.75/3 = 0.25 meters,
Since, the ice is melting with the constant rate.
⇒ The rate of ice decreasing = 0.25 meters per week.
⇒ Total changes in t weeks = 0.25 t meters
The new thickness of ice after t weeks = Initial thickness - Total changes in t weeks.
⇒ S(t) = 2 - 0.25 t
Which is the required function's formula.
Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. a = 3 ; r = 5
Answers
Answer: 1875
Step-by-step explanation:
The nth term of a geometric progression is given as:
= ar^n-1
Given a = 3 ; r = 5, the nth term will be:
= ar^n-1
= 3 × 5^n-1
The fifth term will be:
= 3 × 5^n-1
= 3 × 5^5-1
= 3 × 5⁴
= 3 × 625
= 1875
The fifth term is 1875
I NEED HELP ASAP PLEASE!!!!!
Answers
Answer:
the answer is 83 degrees
Step-by-step explanation:
most angles that connect diagonally are vertically opposite angles. hope it helps have a great day and can i get brainliest
Use the Graph of the parabola to fill in the table
Answers
Answer:
a) Upwards
b) x = -1
c) (-1,-9)
d) x intercepts; (2,0) and (-4,0)
y intercept is (0,-8)
Step-by-step explanation:
a) As we can see, the parabola faces upwards
b) To find the axis of symmetry equation, we look at the plot of the graph and see the point through the vertex of the parabola that exactly divides the parabola into two equal parts
The x-value that the line passes through here is the point x = -1 and that is the equation of the axis of symmetry
c) The vertex represents the lowest point of the circle here,
As we can see, this is the point through which the axis of symmetry passes through to make a symmetrical division of the parabola
We have the coordinates of this point as
(-1,-9)
d) The intercepts
The x-intercept are the two points in which the parabola crosses the x-axis
We have this point as 2 and -4
The x-intercepts are at the points (2,0) and (-4,0)
For the y-intercept; it is the y-coordinate of the point at which the parabola crosses the y-axis and this is the point (0,-8)
x is at most 30 this is math
Answers
Answer:
huh plz elabarate
Step-by-step explanation:
Answer:
Type the full question your question doesn't makes sense
Please answer!
No links. No links to pictures, no fake answers. Please don’t make my day worse than what it is. Please answer correctly thank you!!
Answers
Answer:
essentially the fourth option is the best
Answer:
option 3
Step-by-step explanation:
Alberto invests $4,571 in a retirement account with a fixed annual interest rate of 3% compounded 6 times per year. What will the account balance be after 18 years?
A) $7,833.32
B) $7,162.06
C) $7,602.38
D) $6,985.59
Answers
Answer:
A) $7,833.32
Step-by-step explanation:
Given data
Principal= $4,571
Rate=3%
n= 6
Time = 18 years
The expression for compound interest is
A=P(1+r/n)^nt
substitute
A= 4571(1+0.03/6)^6*18
A= 4571(1+0.03/6)^6*18
A= 4571(1+0.005)^6*18
A= 4571(1.005)^6*18
A= 4571(1.005)^108
A=4571*1.7136
A=$7832.86
Hence the approximate amount is A) $7,833.32
Evaluate the expression below when x = 9 and y = 12.
4(x + 6) - 3(y + 4)
Answers
Which expression is equivalent to 18 − 20?
Answers
Zach is 4 feet 5 inches tall. There are 25.4 millimeters in one inch. How tall is Zach in millimeters?
Answers
Answer: 1346.2 Milimeters
Step-by-step explanation:
4ft 5in = 53in
53x25.4= 1346.2
What is the first step in solving the inequality m-2/6 < -1?
O Multiply both sides by 6.
O Add 2 to both sides.
O Change the direction of the inequality.
O Change the inequality to s.
HELP IM ON A TIMED TEST
Answers
Step-by-step explanation:
change the directions i think
you have to make the -1 -> 0
you have to multiply by -1
and if you multiply the direction will change
The legs of a right triangle are represented by the expressions 2x and 2x-1. The hypotenuse of the same triangle is represented by the expression 3x - 1 1. What is the perimeter of the triangle?
Answers
Answer:
12
Step-by-step explanation:
Is the ordered pair (-5, 4 a solution of
the system of linear equations whose
graph is shown? Explain your reasoning.
Answers
Answer:
No
Step-by-step explanation:
No, (-5, -4) is not a solution to the system of equations. In order for a point to be a solution to a system of equations, the lines have to intersect at that point in a graph. Looking at the given graph, the lines do not intersect at (-5, -4), but at (-4, -5) instead. Thus, (-5, -4) is not a solution.
Pythagorean Theorem Determine the length of the missing side?
Answers
7^2+10^2=c^2
49+100=c^2
149=c^2
12.2=c
Answer:
c= sqrt149; 12.2 rounded
Step-by-step explanation:
Pythagorean Theorem to find c(hypotenuse): a^2+b^2=c^2
7^2+10^2=149
sqrt149= 12.2 rounded
Find the 1st 4 iterations if f(o)= -2, f(n)= 3f(n-1)-2n
Answers
Answer:
Step-by-step explanation:
f(0) = -2
f(1) = 3*(f(1 - 1)) - 2*1
f(1) = 3(-2) - 2
f(1) = - 6 - 2
f(1) = - 8
f(2) = 3*(f(1)) - 2*2
f(2) = 3*(-8) - 4
f(2) = -24 - 4
f(2) = - 28
f(3) = 3*(f(2)) - 2*3
f(3) = 3*-28 - 6
f(3) = -84-6
f(3) = - 90
f(4) = 3*f(3) - 2 * 4
f(4) = 3*-90 - 8
f(4) = -270 - 8
f(4) = -278
Choose the expression that is equivalent to the expression shown below.
n4+n4+n4+n4
Answers
.....................
Help! I don't get it!
Answers
B= 9/21 and 6/14
C= 2/5 and 16/40
Which equation best represents the relationship between x and y in the table below?
Answers
Answer:
y = x² + 5
Step-by-step explanation:
When x = 1:
y = x² + 5
y = 1² + 5
y = 6
When x = 2:
y = x² + 5
y = 2² + 5
y = 9
When x = 3:
y = x² + 5
y = 3² + 5
y = 14
Which temperature is colder -10 or 0
Answers
Answer:
-10
Step-by-step explanation:
Aliya buys p pounds of apples for $2 per pounds. Write an algebraic expression to find the total cost?
Answers
Answer:
Identify the terms and coefficients of each expression. 1. ... Frank buys p pounds of oranges for $2.29 per pound and the same number of pounds of apples for $1.69 per pound. ... .690 = total cost ... Write an expression to represent each situation. 9. Eliza earns $400 per week plus $15 for each new customer she signs up.
Step-by-step explanation:
I Mark Brainliest ! No Bots Plz
Select All that apply
Answers
Answer:
i think its the second and third
Step-by-step explanation:
im not completely sure though so please dont get mad if its wrong
Which of the following terms correctly describes the fraction 14/6?
A. Improper Fraction
B. Proper Fraction
C. Inverse Fraction
D. Reverse Fraction
Answers
Answer:
it is A an improper fraction
Giving brainlist to whoever answers
Answers
Answer:
False
Step-by-step explanation:
[tex]V=bhw\\V=7.5*13*2\\V=195[/tex]
3 times the sum of 4 and 9
Answers
Answer:
3x4+9= 39
Step-by-step explanation:
:))
What is the negative zero of the quadratic function f(x) = 4x2 – 81?
Answers
1. استخدم ورقة منقطة متساوية القياس لرسم منشور مثلثي بارتفاع 6 وحدات ، وبقاعدتين عبارة عن مثلثين قائمی الزاوية بساقين طولهما 6 وحدات و 4 وحدات .
Answers
يريدون منك استخدام النقاط لتساعد نفسك في رسم صورة المكعبات. هذا ليس سؤالًا حقًا يمكن لأي شخص مساعدتك في الإجابة عليه حيث عليك فقط رسم الصورة. النقاط هي فقط للمساعدة في جعل الأمر أسهل من مجرد الرسم باليد.
please helpppp!!! Will mark brainlyist
Answers
Answer:
x = 35.5
Step-by-step explanation:
cos 65° = 15/x
cos 65° · x = 15
x = 15/cos 65°
x = 35.5
Celeste makes a conjecture that the perimeter of a square whose sides are an odd
integer is always even. Which choice is the best proof of her conjecture?
Answers
Answer:
top left
Step-by-step explanation:
Suppose that you deposit $750.00 in an account paying 4% compound interest, with interest compounded annually. How much
interest will your account earn over the first 5 years?
$912.49
$162.49
$150 00
$900.00
Answers
Answer:
The answer is 162.49
Step-by-step explanation: Can you help me with my question
What point of the number line represents the sum of 3/4 + 3/4
Answers
Answer:
C
Step-by-step explanation:
3/4+3/4=6/4=1 2/4=1 1/2
C is located halfway between 1 and 2, so you know it is 1 1/2.
A fraction is a way to describe a part of a whole. The number on the number line is represented by point C.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
To plot the fraction on the number line, the sum of the number line is needed to be found. Therefore, the sum of the number line can be written as,
[tex]\rm Sum = \dfrac34 + \dfrac34 = \dfrac64[/tex]
Thus, the sum of the fraction is (6/4), which can also be written as 1.50.
The number on the number line is represented by point C.
Learn more about Fraction:
https://brainly.com/question/1301963
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