Please help I really need this answer since I am preparing for my nationals
Will give branliest if it is correct.
Answers
Answer: [tex]\bold{a)\ \overline{CD}=6\qquad b)\ \overline{AD}=\dfrac{32}{3}\qquad c)\ \overline{AC}=\dfrac{50}{3}\qquad d)\ \overline{OB}=\dfrac{25}{3}}[/tex]
Step-by-step explanation:
a) First, use the Pythagorean Theorem to find CD:
8² + (CD)² = 10² → CD = 6
d) Next, find OB. Notice that both OB and OC are the radius of the circle.
Using the Segment Addition postulate, we know the radius (r) = CD + DO → DO = r - 6
Use the Pythagorean Theorem for ΔOBD to find OB:
(DO)² + (BD)² = (OB)²
(r - 6)² + 8² = r²
r² - 12r + 36 + 64 = r²
-12r + 100 = 0
100 = 12r
[tex]\dfrac{25}{3}\quad = r[/tex]
c) Now, find AC. Notice that AC is the diameter.
Diameter = 2r
= 2(OB)
[tex]=2\bigg(\dfrac{25}{3}\bigg)\qquad =\dfrac{50}{3}[/tex]
b) Lastly, find AD. Using the Segment Addition Postulate, we know that
AD + CD = AC → AD = AC - CD
[tex]= \dfrac{50}{3}-6\qquad \rightarrow \quad \dfrac{50}{3}-\dfrac{18}{3}\qquad =\dfrac{32}{3}[/tex]
Related Questions
Pls solve for x hurry !
Answers
Answer:
7
Step-by-step explanation:
7x + 68 = 2x + 103
Subtract 2x from each side
5x + 68 = 103
Subtract 68 from each side
5x = 35
divide 5 from 35 and you get X = 7
In Circle S with MRST=118 and RS=8 units, find the length of arc RT. Round to the nearest hundredth
Answers
Answer:
RT ≈ 16.48 units
Step-by-step explanation:
The measure of arc RT is calculated as
RT = circumference of circle × fraction of circle
= 2πr × [tex]\frac{118}{360}[/tex]
= 2π × 8 × [tex]\frac{118}{360}[/tex]
= 16π × [tex]\frac{118}{360}[/tex] ≈ 16.48 ( to the nearest hundredth )
The length of the arc RT is 8.23 units.
What are the properties of an arc?The characteristics of a circle's arc are:
Measured in linear measures like centimetres, inches, or metres, the arc length is the distance along the arc. It is proportionate to the angle that the arc and circle's centre make.The arc measure, which is expressed in degrees or radians, is the magnitude of the angle that is produced between the centre of the circle and the arc. It varies in accordance with the arc length.Since angle RST is 118 degrees, it subtends 118/360 = 0.3278 (rounded to four decimal places) of the full circumference of the circle. Therefore, the length of arc RT is:
length of arc RT = (0.3278) * (2 * π * radius)
where the radius is half the length of RS. Since RS is given as 8 units, the radius is 4 units. Substituting this into the formula, we get:
length of arc RT = (0.3278) * (2 * π* 4) = 2.0684 * π
Rounding to the nearest hundredth, we get:
length of arc RT ≈ 8.23 units.
Learn more about arc here:
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the length of segment TQ= 29. explain how to find the length of segment QV. make sure to put the sentence in this form. statement then the because.
helpppp ):
Answers
Answer:
Length of segment QV = 35 units
Step-by-step explanation:
As shown in the figure attached,
Diagonals of TQVS are perpendicular to each other. Therefore TQVS will be a kite. By the property of a kite,
"There are two pairs of the sides which are equal in measure."
Therefore, TS ≅ TQ and SV ≅QV
Since TS ≅ TQ,
3x + 2 = 29 [Given: TQ = 29 units]
3x = 29 - 2
3x = 27
x = 9
Another pair of the consecutive sides is,
SV ≅ QV ≅ (4x - 1)
By substituting the value of x,
QV = (4 × 9) - 1
= 36 - 1
= 35 units
Therefore, length of segment QV = 35 units
What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x - 4)2 + 6
g(x) = (x + 6)2 - 4
g(x) = (x - 6)2 - 4
g(x) = (x + 4)2 + 6
Answers
Answer:
D. g(x) = (x + 4)2 + 6
Step-by-step explanation:
I just took the test and this was the correct answer
Find the volume of this problem
Answers
Answer:
Step-by-step explanation:
diameter = 6 in
r = 6/2 = 3 in
h = 11 in
Volume of cylinder = πr²h
= 3.14*3*3*11
= 310.86 in³
PLS HELP MY HOMEWORK IS DUE SOON
Answers
Answer:
Seems like a personal issue
Step-by-step explanation:
Hint: Use your Brain!
What is the measurement of Angle J?*
Answers
Answer:
So anytime you have same sides on both legs. You will have same angles for both that are not 90 degrees. So if all angles add up to 180. 180-90 = 90. 90/2 = 45 degrees
Answer:
J = 45
Step-by-step explanation:
Since the two sides are the same, the base angles must be equal. Since it is a right triangle, the two angles share 90 degrees
90/2 = 45
Each angle is 45 degrees
J = 45
Solve & Share
Evaluate the expression 3+ (6 – 2) X 4.
Solve this problem using the order of operations.
3 + (6 – 2) X 4
Answers
Answer:
[tex]19[/tex]
Step-by-step explanation:
[tex]3 + (6 -2) \times 4[/tex]
[tex]3 + (4) \times 4[/tex]
[tex]3 + 16[/tex]
[tex]=19[/tex]
Answer:
19
Step-by-step explanation:
use the other of operations
PLZ HELP I NEED HELP THANK YOU
Answers
Answer:
3rd one
Step-by-step explanation:
The big prism is 10x10x15 = 1500, and all the values are bigger except for the third and fourth. However, since we are cutting something out it should be less than 1500, the only is the 3rd answer.
Answer:
1468 in^3
Step-by-step explanation:
you can just solve for the volume of the big container and then solve for the volume of the small container and subtract the volume of the small container from the big one.
big container: 10 x 10 x 15 = 1500
small container: 2 x 4 x 4 = 32
1500 - 32 = 1468
27 30 33 36 identify d in this
Answers
Answer:
d = 3
Step-by-step explanation:
d represents the common difference between consecutive terms in the sequence, that is
d = 30 - 27 = 33 - 30 = 36 - 33 = 3
Leticia is cutting a board to make a ramp for her skateboard. The ramp will slope from the ground up to a height of 4 feet. The board will make an angle of 25° with the ground. How long should she cut the board for her ramp? *
1 point
9.46 feet long
4.41 feet long
8.58 feet long
10 feet long
Answers
Answer:
Correct option: first one -> 9.46 feet long
Step-by-step explanation:
To find the length of the board for her ramp, we just need to use the sine relation of its angle with the ground.
The opposite side to the angle is the height of the ramp, and the hypotenuse of the triangle formed is the length of the board. So, we have that:
sin(25°) = height / length
0.4226 = 4 / length
length = 4 / 0.4226
length = 9.4652 feet
So the length of the board should be 9.46 feet (correct option: first one)
is the dilation en enlargement or a reduction? what is the scale factor of the dilation?
Answers
Answer:
The dilation is an enlargement, and the scale factor is 2. So, the answer is B.
Step-by-step explanation:
The dilation is an enlargement, and the scale factor is 2.
What is the scale factor?The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.
The image of the object undergoing transformation is given.
From the attached object, we se that CP = 4.
Also CP' = 8
Thus; Scale factor is 8/4 = 2
Now, reduction is defined as reducing the dimensions while enlargement is increasing the dimensions by a scale factor.
Thus, the denominator of the scale factor is greater than the numerator, then there is a reduction.
The scale factor of the given dilation is; 2 and the dilation is a enlargement.
Read more about Transformations at;
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If anybody now this pls help my homework due TOMORROW
Answers
Answer:
Part A: D. [tex]y = (x + 1)(x+3)\\[/tex]
Part B: C. [tex]3x(x-3) = 0\\[/tex]
Step-by-step explanation:
For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.
The equation: [tex]y = (x + 1)(x+3)[/tex]
Now plug in 0 for x.
[tex]y = (0 + 1)(0+3)\\[/tex]
Now solve.
y = (1)(3)
y = 3
This proves that this is the correct answer.
For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.
The equation: [tex]3x(x-3) = 0[/tex]
Now plug in x for 0 and solve:
[tex]3* 0 (0-3) = 0\\[/tex]
[tex]0(-3) = 0\\[/tex]
[tex]0 =0\\[/tex]
This equation is true, now we check for the other value of x, 3.
[tex]3*3(3-3) = 0\\[/tex]
[tex]9(0) = 0\\[/tex]
[tex]0 =0\\[/tex]
This is also true so that means this is the correct answer.
How many solutions does the system of nonlinear equations graphed below
have?
Answers
Answer: Look at the number of points where the graphs intersect each other...the points where the graphs of the functions cross each other are the solutions to the system.
Upon looking, you should see 4 points where the graphs intersect, so there are 4 solutions to the non-linear system of equations.
Step-by-step explanation:
Answer:
You Should see 4 Points
Step-by-step explanation:
What is 2 less than a number
Answers
Answer:
2<x
Step-by-step explanation:
less than x
Answer:
n-2
Step-by-step explanation:
lets put the variable N to mean the "number"
Subtraction is used to take away a certain amount, so 2 less than is that certain number subtracted 2
which can be written as n-2
Answer plz!
Which choices are equivalent to the expression below? Check all that apply.
Answers
The right options are:
Option A
Option B
Option C
Please see the attached picture.
hope it helps
Good luck on your assignment..
The tip of a pendulum moves through an angle of 0.38 radians. If the radius of the pendulum is 25
centimeters, then which of the following is the length of the arc the tip moves through?
(1) 4.7
(3) 7.8
(2) 6.1
(4) 9.5
Answers
Answer:
The length of arc 'l' = 9.5
Step-by-step explanation:
Explanation:-
Given radius of the pendulum r = 25
The tip of a pendulum moves through an angle of 0.38 radians
θ = 0.38 radians
The length of arc 'l' = rθ
'l' = (25)(0.38)
The length of arc 'l' = 9.5
An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?
Answers
Answer: -$13.47 per hour
Step-by-step explanation:
Hi, to answer this question we have to write an expression:
The total amount earned by the employee will be equal to the product of the number of hours he worked (36) and the amount paid per hour (9.25) ; plus the product of the amount paid for every 20 transformers assembled (8) and the number of transformers assembled (380)divided by 20 :
9.25 (36) + 8 (380/20) =
Solving:
333+ 8 (19) =
333+152 = $485
If we divide the result by the number of hours:
485 /36 = $13.47 per hour
Feel free to ask for more if needed or if you did not understand something.
Answer:
$13.47 per hour
:):):):):):)
∠1 and ∠2 are supplementary. If m∠1 = (3x - 17)° and m∠2 = (5x + 21)°. Find the value of x.
Answers
Answer:
Step-by-step explanation:
∠1 + ∠2 = 180 {supplementary}
3x - 17 + 5x + 21 = 180
Add the like terms
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Answer:
x = 22
Step-by-step explanation:
Supplementary angles add to 180
<1+ <2 =180
(3x - 17) + (5x + 21) = 180
Combine like terms
8x +4 = 180
Subtract 4 from each side
8x +4-4 = 180-4
8x = 176
Divide each side by 8
8x/8 = 176/8
x = 22
In 3 minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 24 minutes. If both belts are used, find how long it takes to move the cans to the storage area. The time it takes to move the cans to the storage area using both belts is
Answers
Answer:
The answer is 1-1/2 minutes.
Step-by-step explanation:
Which of the following figures has a pentagon as its base? A cube B pentagonal prism C triangular prism D rectangular prism
Answers
Answer:
Option B. Pentagonal prism
Step-by-step explanation:
Option (A). Cube
Base of a cube is a square.
Option (B). Pentagonal prism
A prism is always defined by its base.
Example: triangular prism, rectangular prism
Therefore, pentagonal prism will have a base in the shape of a pentagon.
Option (C). Triangular prism
Triangular prism will have a triangular base.
Option (D). Rectangular prism
Rectangular prism will have a rectangular base.
Twin brothers need help can anybody help them?
Answers
Answer:
210 cm^2
Step-by-step explanation:
3x-1 + 4x+1 + 3x = 70
10x = 70
x = 7
Now, Area of the triangle is 1/2 * b * h
therefore,
1/2 * 3x * 3x-1
1/2 * (3*7) * (3*7 -1)
1/2 * 21 * 20
21 * 10
210
210 is the area!
Hope this helps! mark as brainliest if helped! thanks!
210 cm^2
3x-1 + 4x+1 + 3x = 70
Simplify
10x = 70
divide by 10
x = 7
So,
1/2 * 3x * 3x-1
1/2 * (3*7) * (3*7 -1)
1/2 * 21 * 20
21 * 10
210 would be your final answer
Step-by-step explanation:
If two angles are complementary to the same angle, then they are congruent to each other.
Answers
Answer:
supplementary
Step-by-step explanation:
Answer:
Congruent Complement Theorem
Explanation:
I also had virtualsc, and this was the answer I chose, and it was correct.
10 Points!!!
Which expression equals the fraction of the square that is shaded dark blue?
Answers
Answer:3/8
Step-by-step explanation: First we see that there are 8 squares and that 3 are shaded light blue and 3 are shaded dark blue so 3 out of the 8 squares are dark blue.
Answer:
1/2 * 3/4
Step-by-step explanation:
Simplify.
0
10
3
(2.8 + 1.2)
6
NEED THE ANSWER NOW!!!
Answers
Answer:
Step-by-step explanation:
Object------------- Diameter (cm) ----- Circumference (cm)
Coin --------------------------- 3 ------------------------- 10
Flying disc -------------------23--------------------------- 28
Jar lid---------------------------- 8------------------------------25
Flower pot -----------------------15------------------------------47
Owen measured the diameter and circumference of four circles. Which one of his measurements is the least accurate?
Coin
Flying disc
Jar lid
Flower pot
Answers
Answer: Flying disc
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula for each object:
Circumference(C) = π x diameter
CoinDiameter = 3
Circumference (measured) = 10
C (calculated) = π x d = π x 3 = 9.42
10≅9.42
Flying discDiameter =23
Circumference (measured) = 28
C (calculated) = π x d = π x 23 = 72.25
72.25 ≠ 28
Not accurate
Jar lidDiameter =8
Circumference (measured) =25
C (calculated) = π x d = π x 8= 25.13
25 ≠ 25.13
Flower potDiameter =15
Circumference (measured)=47
C (calculated) = π x d = π x 15 = 47.12
47 ≠47.12
Feel free to ask for more if needed or if you did not understand something.
Answer:
Jar lid
Step-by-step explanation:
If you look up the diameter and circumference of the jar lid, it would give you an answer and if you compare it the answers are diffrent. So what you wan to put is: "I know that the Jar lid is wrong because For a jar lid, the diameter is 8, but for the circumference its is 2.5, and on the chart the dimeter is 8 BUT the circumference is 2.5" Hope this help. :)
HELP EASY MATH PROBLEMS
Answers
Answer:
21. 98 cents
Gabby placed in 4th.
Step-by-step explanation:
Assuming Steven is paying, 51+45+2=98 cents.
Answer:
21. 98 cents
Gabby placed in 4th.
Step-by-step explanation:
oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo have a great day
The equation 8-4x=0 has how many real solutions
Answers
Answer:
1 real solution (2)
Step-by-step explanation:
Answer:
one real solution
Step-by-step explanation:
8-4x=0
Add 4x to each side
8 = 4x
Divide by 4
8/4 = 4x/4
2 =x
There is one real solution
please need help I will be MARKING as BRIANILIST. thank you so much.
Answers
Answer:
C
Step-by-step explanation:
5 lemons for $2.00
1 lemon is for 2/5=$0.40
Answer:
The answer is option C) $0.40
Step-by-step explanation:
Cost of 5 lemons= $2.00
cost of 1 lemon= 2.00/5
= 0.40
therefore $0.40 is the unit cost of each lemon in the bag.
Hope this helped you.
How many dimensions does a plane have?
Ο Α. Two
O B. Zero
O C. One
O D. Three
Answers
Answer:
2
Step-by-step explanation:
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far
How many dimensions does a plane have?
● Α. Two
O B. Zero
O C. One
O D. Three
