Help Pls. Find the radius of Circle Q.
The radius of the given circle is 13 unit.
What is a chord of a circle?
The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.
What is radius of a circle?A radius is a measure of distance from the center of any circular object to its outermost edge or boundary.
What is Pythagoras theorem?Pythagoras theorem states that "the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides".
According to the given question
We have a circle with center Q and two chords AD and BC.
And, AD = 4x + 4 and BC = 6x -6
Since, both the chords are at the same distance from the center of the circle, so their lengths will same.
⇒ AD = BC
⇒ 4x + 4 = 6x -6
⇒ 4 + 6 = 6x -4x
⇒ 10 = 2x
⇒ x = 5
Therefore,
AD = 4x + 4 = 4(5) + 4 = 20 +4 =24
and, BC = 6x - 6 = 6(5) - 6 = 30 -6 = 24
Also, AP = AD/2 = 24/2 = 12
Now, in right angle triangle QPA we have
[tex]AQ^{2} =QP^{2} +AP^{2}[/tex] ( By Pythagoras theorem)
⇒ [tex]AQ^{2} = 5^{2} +12^{2}[/tex]
⇒[tex]AQ^{2} = 25 + 144[/tex]
⇒[tex]AQ^{2} = 169[/tex]
⇒[tex]AQ =\sqrt{169}[/tex]
⇒ AQ = 13
Hence, the radius of the given circle is 13 unit.
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Which statement describes the following expression? 7 x (2,304 x 681)
Answer:
7 times the value of 2,304 times 681
Step-by-step explanation:
✨
Answer:
it is a
Step-by-step explanation:
hope it helps
The angle of elevation of a car to the top of a tree is 60°. If the height of the tree is 34 feet, find the distance between the car and the tree rounded to the nearest whole number.
Answer:
17 feet
Step-by-step explanation:
cos = adj/hyp
cos60 = adj/34
34 * cos60 = adj
adj = 17
Balr's new computer costs less than twice the cost of her old computer. Her new computer cost $709. How much did Blair's old computer cost?
Answer:
$357
Step-by-step explanation:
Help needed on this question too!!!!
Answer:
1) OTT
2) PGF
3) RBT
4) YGT
5) 24 different ways.. I just counted the total number of combinations.
6) 1/24 since there are 24 different outcomes and PBF is just one.
4. A rental car agency charges a fee of $25 plus $0.20 for every mile driven. Write a function rule to determine the cost of renting a car.
a. What is the cost of driving a rental car 150 miles?
b. If I have $145, how far many miles can I drive the rental car?
Besties help please
Answer:
a. $25 + ($0.20 × 150) = $25 + $30 = $55
b. $145 ÷ $0.20 = 725 miles
Brooke and lamont ran a half marathon. Brooke finished in 1 hour 50 minutes, lamont finished in 100 minute. Who had the faster time
Given:
Brooke and Lamont ran a half marathon. Brooke finished in 1 hour 50 minutes, Lamont finished in 100 minute.
To find:
Who had the faster time?
Solution:
We know that,
1 hour = 60 minutes
Time taken by Brooke = 1 hour 50 minutes
= 60 minutes + 50 minutes
= 110 minutes
Time taken by Lamont = 100 minutes.
Since the time taken by Lamont is less than the Brooke, therefore Lamont had the faster time.
if the dimention of a right rectangular prism are 7cm,9cm and 3cm then find the total surface area,its volume and the length of it diagonals
Answer:
√139
Step-by-step explanation:
a = 2(7*9+7*3+9*3) = 222 v = 7*9*3 = 189 d = √(7^2+9^2+3^2) = √139
What is 3.055 rounded to the nearest hundredth
Answer:
3.06
Step-by-step explanation:
3 is in the ones place, then theres the decimal, the tenths place, and the hundredths place. When rounding, you must make the number larger when its 5 or over. So the answer is 3.06
Answer:
3.055 rounded to the nearest hundredth = 3.06
The equation of a circle is x2 + y2 + 6y = 7. What are the coordinates of the center and the length of the radius of the circle? O A. center (0, -3) and radius 16 O B. center (0, -3) and radius 4 C. center (0, 3) and radius 4 O D. center (0, 3) and radius 16 STEM ++ 32:36
Answer:
c=(0,–3) , R= 4
choose (B)
Your local dry cleaners is running a special. The dry cleaner is offering a 13% discount for any drop off that is over
$40. Also, they are running a neighborhood special of an additional 5% off. Given this information, determine the
decay factor corresponding to each percent decrease.
a. 34.8; 33.06
0.87: 0.95
b. 0.384; 0.3306
d. 87, 95
C.
Answer:
a
Step-by-step explan
Answer:
it's C I took the test and put a and got it wrong
Step-by-step explanation:
help me I have hard times in algebra
Select the correct answer.
Which number is located to the right of
-1
COIN
on the horizontal number line?
COH
OA. -1
OB. -2
oc. – 2
OD. -3
Answer:
A.
[tex] - 1 \frac{1}{3} [/tex]
Select all the expressions that are equivalent to the polynomial below.
-12x squared -19x-5
(−15x2 + 9x − 10) + (3x2 − 10x − 5)
(−16x2 + 10x − 3) + (4x2 − 29x − 2)
2(x − 1) − 3(4x2 + 7x + 1)
(4x2 − 13x − 7) − (16x2 + 9x − 5)
3(x − 5) − 2(6x2 + 9x + 5)
(2x2 − 11x − 9) − (14x2 + 8x − 4)
15×12 6×2 9×-5 all Expressions
In Tim’s coffee shop a study was done to see how many people buy coffee and donut of 160 people came in one day 60 bought coffee and a doughnut the rest bought coffee or a donut find the experimental probability that the next person will by both the coffee and donut a
Answer:
3/8 or 37.5
Step-by-step explanation:
60/160 simplified
Answer:
3/8
Step-by-step explanation:
60/160 is simplified
Jane't solves the inequality 23x+7≤5 and shows her solution on a number line, as shown below. x ≥ 3 All values of x ____________ to _________ make the expression have a value to ______________.
Answer:
values of x that makes the expression true are less than -2/23
Step-by-step explanation:
GIven the expression
23x + 7 ≤5
Subtract 7 from both sides
23x+7-7 ≤5 -7
23x < -2
x ≤ -2/23
Hence the values of x that makes the expression true are less than -2/23
Which table represents a quadratic function?
f(x)
x
x
fx)
f(x)
x
f(x)
-4
-5
-4
-4
2
-10
-4
0.5
47
-2
-2
-2
1-6
-2
1
ok
10
0
1
0
2
0
2
2
-7
N
4
2
6
co
N
4
4
2
4
7
4
10
4
8
0
9514 1404 393
Answer:
see below
Step-by-step explanation:
The x-values in each table are evenly-spaced (increasing by 2). So, the quadratic function can be identified by its second differences: they will be a non-zero constant.
Table 1 has first differences that are constant at 3. -2-(-5) = 3, for example. It represents a linear function.
Table 2 has first differences of 4, 8, 4, 4, neither constant, nor linearly increasing. The function does not have a name.
Table 3 has first differences of -9, -3, +3, +9, and these have differences of +6. This represents a quadratic function.
Table 4 has first differences of 0.5, 1, 2, 4. These have a constant ratio, as do the values in the table. It represents an exponential function.
The table that represents a quadratic function is C. Table 3.
What is a quadratic function?A quadratic function simply means a function that's in the form of f(x) = ax² + bx + c.
In this case, the table that represents a quadratic function is table 3. It has first differences of -9, -3, +3, +9, and these have differences of +6. It can be deduced that in the quadratic function, b and x are numbers.
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What is the surface area of the right rectangular prism?
Answer:
Hello! answer: 250
Step-by-step explanation:
10 × 5 = 50
10 × 5 = 50
10 × 5 = 50
10 × 5 = 50
5 × 5 = 25
5 × 5 = 25
50 × 4 = 200
200 + 25 + 25 = 250 the total surface area is 250 hope that helps!
A rectangle has an area of 500 square meters. If it's length is 4x-3 meters and it's width is 2x+6 meters, what is the actual width of the rectangle?
Answer:
25 meters .
Step-by-step explanation:
The actual width of the rectangle is 24.5 meters.
What is area of rectangle?The area of rectangle equals the base(width) times the height.
A = w × h
Given
Area of rectangle = 500 square meters.
Length of rectangle = 4x - 3 meters
Width of rectangle = 2x + 6 meters
Area of rectangle = length × width
500 = (4x - 3) (2x + 6)
⇒ 500 = [tex]8x^{2}+24x-6x-18[/tex]
⇒ 500 = [tex]8x^{2}+18x-18[/tex]
⇒ 500 = [tex]2(4x^{2}+9x-9)[/tex]
⇒ [tex]\frac{500}{2}=4x^{2}+9x-9[/tex]
⇒ [tex]250=4x^{2}+9x-9[/tex]
⇒ [tex]4x^{2}+9x-9-250=0[/tex]
⇒ [tex]4x^{2}+9x-259=0[/tex]
⇒ 4x(x + 7) -37(x + 7) = 0
⇒ (x + 7) (4x - 37) = 0
⇒ x = -7, x = [tex]\frac{37}{4}[/tex]
-7 is not satisfied because it is a negative number.
By substituting x = [tex]\frac{37}{4}[/tex] in width of rectangle
Actual width of rectangle = 2x + 6
= 2( [tex]\frac{37}{4}[/tex]) + 6
= [tex]\frac{37}{2}[/tex] + 6
= [tex]\frac{37+12}{2}[/tex]
= [tex]\frac{49}{2}[/tex]
= 24.5 meters
Hence, the actual width of the rectangle is 24.5 meters.
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on the product by rounding to the nearest that NO LINKS
Arithmetic
To round, go to the length behind it.
2,413
If it is four or under, you keep the four and, you must turn everything to the left side to zero.
If it is five and up, turn the number into 3000.
Note: This cannot be rounded to 2,500 and 2,400 due to the question being asked.
Meaning, the equation formed is:
5x2,000=10,000
Answer: 10,000
Step-by-step explanation:
the equation is 5 x 2000=10,000
because 1 - 4 let it stay and 5-9 higher up the grade so is was a 2 but you don’t look at the 2 it depends on the number that’s next to it which is 4 and that Means it stays and everything turns into a zero except the two remains it means 5×2000 = 10,000
i hope this helps
What is an equation of the line that passes through the points (6, -3)and (−6,−5)?
Answer:
y = 1/6x -4
Step-by-step explanation:
First find the slope
m= ( y2-y1)/(x2-x1)
m=(-5 - -3)/( -6 -6)
= (-5+3)/ (-6-6)
= -2/-12
= 1/6
The slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 1/6 x +b
Substitute a point into the equation
-5 = 1/6(-6) +b
-5 = -1+b
Add 1 to each side
-4 = b
y = 1/6x -4
Answer:
y=1/6x-4
Step-by-step explanation:
Which of the following is a rational number but not an integer?
74, 3/10, -25, or 170
Answer:
3/10Step-by-step explanation:
As,
Integers includes whole numbers, and negative of the whole numbers.
And Rationals includes every fraction, Integers and negative fraction.
So,
170, -25, and 74 are both Integers and Rationals.
But,
Only 3/10 is a fraction included only in rationals and not in Integers
what is meaning of volume
Step-by-step explanation:
Volume is the measure of the capacity that an object holds. For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object or solid shape.
Answer:
the amount of space that a substance or object occupies.
basically the volume of a container, like space in a container.
Mind answering this? It's due in a few days and I'll give the correct answer Brainliest.
Match the values of a, b, and c given the equation in the standard form below:
h = -16t^2 + 8t + 24
Answer:
a = -16 b = 8 and c =24
Step-by-step explanation:
h = -16t^2 + 8t + 24
A quadratic function can be in the form
ax^2 + bx+c
Replace x with t
-16 is the coefficient of the squared term 8 is the coefficient of the linear term and 24 is the constant
a = -16 b = 8 and c =24
Help me answer ??????
Answer:
the triangle is not a right angle
Step-by-step explanation:
5²+12²=169
15²=225
what is x the missing side length in triangle DEF
Answer:
x = 9.75
Step-by-step explanation:
We know that Triangle ABC and DEF are congruent, therefore;
[tex]\frac{CB}{FE} = \frac{AB}{DE}[/tex]
[tex]\frac{12}{9 }=\frac{13}{x}[/tex]
=> 12*x = 9*13
=> 12x = 117
=> x = 117 / 12
=> x = 9.75
Hope this helps!
Which of the following expressions is correctly written in scientific notation?
Answer:
The 3rd choice.
Step-by-step explanation:
The third choice has what it takes to be a scientific notation.
I need a very detailed in depth explanation of laws of Sine and Cosine. (With examples, Law rules etc.)
Answer:
A law stating that the square of a side of a plane triangle is equal to the sum of the squares of the other two sides minus twice the product of the other sides multiplied by the cosine of the angle between them.As we learned, sine is one of the main trigonometric functions and is defined as the ratio of the side of the angle opposite the angle divided by the hypotenuse. It's important for finding distances or height and can also be used to find angle measures, which are measured in radians.Law of cosines signifies the relation between the lengths of sides of a triangle with respect to the cosine of its angle. ... If ABC is a triangle, then as per the statement of cosine law, we have: a2 = b2 + c2 – 2bc cos α, where a,b, and c are the sides of triangle and α is the angle between sides b and c.RULE OF LAW Defined
The rule of law is a principle of governance in which all persons, institutions and entities, public and private, including the State itself, are accountable to laws that are publicly promulgated, equally enforced and independently adjudicated, and which are consistent with international human rights norms and standards. It requires, as well, measures to ensure adherence to the principles of supremacy of law, equality before the law, accountability to the law, fairness in the application of the law, separation of powers, participation in decision-making, legal certainty, avoidance of arbitrariness and procedural and legal transparency.A rule of law framework that includes the following:
Constitution or its equivalent, as the highest law of the land;A clear and consistent legal framework, and implementation thereof;Strong institutions of justice, governance, security and human rights that are well structured, financed, trained and equipped;Transitional justice processes and mechanisms; A public and civil society that contributes to strengthening the rule of law and holding public officials and institutions accountable.[tex]\color{yellow}{}[/tex]
Given v = u + 5t; Find v when u= -15 and t=4
v = u + 5t
v = -15 + 5(4)
v = -15 + 20
v = 5
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]v = u + 5t[/tex]
Given,
[tex]u = - 15 \\ t = 4 \\ v = \: ?[/tex]
To find the value of v, we must substitute the values of u & t in the equation ⇻ v = u + 5t.
[tex]v = u + 5t \\ v = ( - 15) + 5(4) \\ v = - 15 + 20 \\ v = 5[/tex]
✐ The value of v is 5.
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# ꧁❣ RainbowSalt2²2² ࿐
What is the solution set for -2n – 2 > 2?
Answer:
n < -2
Step-by-step explanation:
-2n – 2 > 2
-2n (– 2 + 2) > 2 + 2
-2n > 4
-2n/-2 > 4/-2
n < -2
