Answers
Answer:
CD = 16
Step-by-step explanation:
Segments EF and EC are tangent and secant respectively to the circle drawn from external point E.
Thus, by tangent-secant theorem:
[tex]ED\times EC= EF^2[/tex]
[tex]\implies x(x+x+7)= (15)^2[/tex]
[tex]\implies 2x^2+7x= 225[/tex]
[tex]\implies 2x^2+7x-225=0[/tex]
Comparing above quadratic equation with [tex]ax^2+bx+c=0[/tex], we find:
a = 2, b = 7, c = -225
Now, we find the value of the discriminant
[tex]\implies b^2-4ac= (7)^2-4(2)(-225)= 1849[/tex]
Now, by quadratic formula:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\implies x=\frac{-7\pm\sqrt{1849}}{2(2)}[/tex]
[tex]\implies x=\frac{-7\pm (43)}{4}[/tex]
[tex]\implies x=\frac{-7+ 43}{4}\: or\:x=\frac{-7- 43}{4} [/tex]
[tex]\implies x=\frac{36}{4}\: or\:x=\frac{- 50}{4} [/tex]
[tex]\implies x=9\: or\:x=-12.5 [/tex]
x represents length, so it can't be negative.
[tex]\implies x\neq -12.5[/tex]
[tex]\implies x=9[/tex]
CD = x + 7
-> CD = 9 + 7
-> CD = 16
Related Questions
GUYS I NEED HELP ASAP IVE BEEN STUCK ON THIS MATH PROBLEM
The cylinder shown has a volume of 695 cubic inches.
What is the radius of the cylinder?
Answers
Step-by-step explanation:
[tex]volume = \pi {r}^{2}h[/tex]
[tex]695 = 3.14 \times {r}^{2} \times 11.5[/tex]
[tex] {r}^{2} = 19.2[/tex]
[tex]r = \sqrt{19.2} = 4.3[/tex]
NEED HELP ASAP!!!! GIVING BRAINLIEST+ 30 POINTS TO WHOEVER CAN ANSWER THESE TWO QUESTIONS THE BEST!!!
Answers
Answer:
For question 2: 15/4.
For question 3: 10/8.
Step-by-step explanation: To multiply fractions, you multiply the numerators and then the denominators. We should first transform any whole numbers into fractions. The first step is done below:
For question 2: 5 to 5/1.
For question 3: 2 to 2/1.
Now, we can multiply the numerators and denominators to answer the following:
For question 2: 5/1 x 3/4. The numerators are 5 and 3, so multiply those to get 15. The denominators are 1 and 4, so multiply those to get 4. Your answer is 15/4.
For question 3: 2/1 x 5/8. The numerators are 2 and 5, so multiply those to get 10. The denominators are 1 and 8, so multiply those to get 8. Your answer is 10/8.
Let me know if this is right! :)
Si Adrián tiene “x” años de edad, Teresa la tercera parte de Adrián, Isabel el doble de Teresa y Felipe el cuádruple de Adrián, ¿cuánto suman las edades de los cuatro? Selecciona el inciso correcto.
Answers
the answer is ISABELLA YOUR BOYFRINDS HERE
What is the answer for this question?
Answers
Answer:
64 cm³
Step-by-step explanation:
The volume of a cube is an edge cubed. Since all the sides/edges are the side, you do 4 * 4 * 4 which gets 64
cereal set roster notation
Answers
Answer:
Step-by-step explanation:
Notation for Cereal Set Roster
The roster form is one of the simplest ways to represent the set. The elements of a set are represented in a row and separated by a comma in roster form. For example, the first five positive even numbers are denoted as A = 2, 4, 6, 8, 10.
A = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100 is an example of roster notation: A = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100.
Hope that helps you understand :)
"The difference of six and twice a
number is five."
Answers
6-2x=5
2x=1
x=1/2
Answer:
x = 1/2
Step-by-step explanation:
twice a number = 2x
difference means subtract 2x - 6 = 5
2x - 6 = 5 Add 6 to both sides.
2x + 6 - 6 = 5 + 6 Combine
2x = 11 Divide by 2
2x/2 = 11/2
x = 5.5
Is the answer different if it is done the other way around for the difference?
6 - 2x = 5 Subtract 6 from both sides
-2x = 5-6 Combine
-2x = - 1 Divide by -2
-2x/-2 = -1/-2
x = 1/2
Yes they are different. Following the way the question is written, I would choose the second method.
Scale word problem
Someone please help me!!
Answers
Answer:
38.4 km
Step-by-step explanation:
Use a proportion.
1 cm is to 12 km as 3.2 cm is to x km.
1/12 = 3.2/x
1 × x = 12 × 3.2
x = 38.4
Answer: 38.4 km
Tamara attends a cycling class that starts at 6:00. The class lasts 45 minutes. What time does class end?
Group of answer choices
A.15 minutes before 7:00
B.15 minutes after 6:00
C.45 minutes before 7:00
D.45 minutes after 7:00
Answers
Answer: C. 45 minutes before 7:00
Hope this helps! :)
Brainliest please.
A farmer plants wheat and corn. It costs about $150 per acre to plant wheat and about $350 per acre to plant corn. The farmer plans to spend no more than $250,000 planting wheat and corn. The total area of corn and wheat that the farmer plans to plant is less than 1200 acres
Answers
The inequality that models this situation is 150x + 350 y ≤ 250000 and x + y < 1200
What is an inequality?
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let x represent the number of wheat acres and y represent the number of corn acres, hence:
150x + 350 y ≤ 250000 (1)
Also:
x + y < 1200 (2)
The inequality that models this situation is 150x + 350 y ≤ 250000 and x + y < 1200
Find out more on inequality at: https://brainly.com/question/24372553
(-3, -2) (2, 1) Find the slope
Answers
Answer:
for just the slope its 3/5 or in decimal its .6
Step-by-step explanation:
y's on top x's on bottom
1--2
1+2=3
2--3
2+3=5
so slope is 3/5 or .6
Answer 3/5
Liz's tea was too hot to drink, so she put it in the freezer. The temperature of the tea was
initially 175°F, and it decreased by about 7% each minute. You can use a function to approximate the
temperature of Liz's tea X minutes after she put it in the freezer.
Which equation represents this function?
Answers
The answer for this equation funtion would be The first one because it is the correct answer.
Answer:
Step-by-step explanation:
don’t even know how i got this far in geometry lol
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's find the Area of sector ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{ \theta}{360} \times \pi{r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ 270}{360} \times \pi{6}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ 3}{4} \times {36}^{} \pi[/tex]
[tex]\qquad \sf \dashrightarrow \:3 \times 9 \pi[/tex]
[tex]\qquad \sf \dashrightarrow \:27\pi \: \: ft {}^{2} [/tex]
Reporting bots and absurd answers. will give brainliest when possible
Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6)?
x squared over 12 minus y squared over 24 equals 1
x squared over 12 minus y squared over 48 equals 1
y squared over 12 minus x squared over 24 equals 1
y squared over 48 minus x squared over 12 equals 1
Answers
Answer:
The answer is y squared over 12 minus x squared over 24 equals 1
Step-by-step explanation:
Please help I will give brainliest.
Answers
To answer these questions, we need to graph the equation as well as turn this into slope-intercept form, this is y = mx + b. The m is our slope and the b is the y-intercept.
-> See attached for graph
1.5x + 4.5y = 18
4.5y = -1.5x + 18
y = -[tex]\frac{1}{3}[/tex]x + 4
The slope is -[tex]\frac{1}{3}[/tex]
y = -1/3x + 4
The y-intercept is (0, 4)
The x-intercept is (12, 0)
CAN SOMEONE PLEASE HELP ME ITS DUE TODAY
Answers
[tex] \qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here we go ~
To find Highest common factor (HCF) we have to check what primes are common between them along with their exponent. And multiply them ~
here, we get [ 2³ and 3 as common ]
[tex]\qquad \sf \dashrightarrow \:HCF = {2}^{3} \times 3 [/tex]
[tex]\qquad \sf \dashrightarrow \:HCF = {8}^{} \times 3 [/tex]
[tex]\qquad \sf \dashrightarrow \:HCF = 24[/tex]
So, HCF of the given numbers is 24
Heather has a bag containing 4 marbles: 1 red, 1 blue, and 2 green. she draws 1 marble out of the bag, replaces it, and then draws another marble. what is p(red then blue then green)?
Answers
Multiply the probability of each by each other:
Probability of red = 1/4
Probability of blue = 1/4
Probability of green = 2/4 = 1/2
probability of red then blue then green = 1/4 x 1/4 x 1/2 = 1/32
answer: 1/32
Solve each equation.
Answers
Equation 1: x=32
Equation 2: y=28
Answer:
x = 32
x = 28
Step-by-step explanation: hope this helps
It costs $20 to buy 5 sandwiches from a vending machine. At this rate, what is the cost for 8 sandwiches?
Answers
$4 times 8 = $32 to buy 8 sandwiches
Which of the following can be written as an expression? Select all that apply.
Half the difference of 5 and 3
7 is less than twice x.
Five and a half times x is 44.
Twice the product of 3 and 8
5 less than x
Answers
Answer:
5-3/22x-75 1/2x = 442(3x8)X-5The runner completed 26.2 miles in 4 hours. How far did he run in 1 hour?
Answers
Answer:
6.55 miles
Step-by-step explanation:
26.2 miles in 4 hours means 6.55 each hour adds up to the total.
Do ---> 26.2 divided by 4 to get hourly miles = 6.55
An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is divisible by 3. 8/25 3/10 3/50
Answers
How many numbers from 1 to 50 are multiples of 3?
3, 6, 9, 12, 15, 18 .......
Let's change the start and end value of the array and find the number of terms
Start at 3 and go all the way to 48 because those are the first and last multiples of 3 in this array.
There is a formula that allows us to quickly find the number of terms
We subtract the first term from the last term and divide by the amount of increase, then we add 1.
(48 - 3) / 3 + 1 = 16 numbers are exactly divisible by 3.
We have 50 numbers and 16 of them divisible by 3
16 / 50 = 8 / 25 probability
The probability that the chosen integer is divisible by 3 is 8/25 if an integer is chosen at random from 1 to 50 inclusive option first is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have the number from 1 to 50.
Total numbers between 1 to 50 or total outcomes = 50
Total favorable outcomes = total number which is divisible by 3
[tex]=\frac{48-3}{3} +1[/tex]
= 15 + 1
= 16
Now probability will be:
= 16/50
= 8/25
Thus, the probability that the chosen integer is divisible by 3 is 8/25 if an integer is chosen at random from 1 to 50 inclusive option first is correct.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ4
PLEASE HELP QUICK
9) Which of these MOST helped J.R.R. Tolkien to become a successful writer?
A) His sense of humor.
B) His loving children.
©) His creative imagination.
D) His appetite for success.
Answers
Answer: C) His creative imagination
Step-by-step explanation:
J.R.R. Tolkien's creative imagination most helped him to become a successful writer
HELP
Manny kept track of the number of home runs he hit every year in high school.
{11, 10, 17, 18)
What is the mean absolute deviation (MAD) of the data set?
Enter your answer in the box. Round to the nearest tenth, if necessary.
Answers
Answer:
Ok, to find MAD, you have to add up all of the decimals in the set, and then divide by how much decimals there are in the set.
Adding them all up...
The final result of the adding is 56.7
Now, we have to divide by how much decimals.
We now have. 56.7 / 6
Do the division.
56.7 / 6 ===> 9.45
No need to round, the final answer is 9.4
Use the equation machine to help you solve the addition equation.
k=8
k=9
k=17
k=26
Answers
Dana invests £5000 for 4 years in a savings account She gets 2% per annum compound interest in the first year, then x% for 3 years, Dana has £5508.23 at the end of 4 years, work out the value of x.
Answers
Answer:
£1,330.46
Hope this helps, mate!
Step-by-step explanation:
Hope this helps, mate! :)
Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent.
Answers
Hey there!
Combine Like Terms and see if the expressions are equivalent or not.
6x-4-x
6x-x-4
5x-4
Is 5x-4 equivalent to 7x-4? No.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
Answer:
Given; 7x – 4 and 6x – 4 – x
To Find; how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent
Solution; This question can be easily solved by letting some value of x and putting in both the equation to check whether both are equal or not
Let x=1
7x-4=3 and 5x-4=1
Since both are not equal Hence the given equations are not equalnation:
find the value of x, round to the nearest 10th
I will give brainliest
Answers
ACB + 37 = 90
ACB = 53
Tan (53) = 10/x
X= 7.536
(Hope this helped have a great day)
please only geniussssssssssssssssss
Answers
Check the picture below.
Help literally fast at possibly
Answers
Answer:
Yes you want to do it again soon
given that 2x^2 - 2y^2 = 40 and x-y=5, find the value of (x+y)
Answers
Answer:
x+y=4
Step-by-step explanation:
hello :
note : by identity you have x²-y² = (x-y)(x+y)
in this exercice : 2x²-2y² = 2(x²-y²) = 2 (x-y)(x+y)
means : 2 (x-y)(x+y) = 40
but x-y = 5
so : 2(5)(x+y) =40
x+y=40/10
x+y=4