Answers
Answer:
B
Step-by-step explanation:
Since UV is a tangent then ∠ WUV = 90°
WZ = WU = x - 1 ( both radii of the circle ) , then
WV = x - 1 + 2 = x + 1
Using Pythagoras' identity in the right triangle
WU² + UV² = WV² , that is
(x - 1)² + (2x - 4)² = (x + 1)² ← expand factors using FOIL
x² - 2x + 1 + 4x² - 16x + 16 = x² + 2x + 1
5x² - 18x + 17 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides
4x² - 20x + 16 = 0 ← divide through by 4
x² - 5x + 4 = 0
(x - 1)(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 4 = 0 ⇒ x = 4
But x ≠ 1 as radius x - 1 = 0
Thus x = 4 → B
Related Questions
how do you solve for quadrilaterals and their properties?
Answers
Opposite angles are equal.
Opposite sides are equal and parallel.
Diagonals bisect each other.
Sum of any two adjacent angles is 180°
There are 4 blocks in the bag. How many of the 4 blocks do you think are red (R)? The graph shows the results of the first 10 picks.
Answers
Answer: 1 Red Block
Step-by-step explanation:
2:8 is the existing ratio shown in the graph. And so I think if we divide both sides by 2 we get 1:4 which is what we want. So we take the 1 part which is red. 1 Red Block.
Write down the following equation in the general form:
y= - 3 over 4 then x then + 2 over 5
Answers
17. Sebuah kaleng berbentuk tabung memiliki
diameter alas 20 cm. Jika volume udara
di dalam kaleng 1.570 cm³, maka tinggi
kaleng tersebut adalah ... cm.
a. 5
b. 10
c. 12
d. 15
Answers
Jawab:
A
Penjelasan dengan langkah-langkah:
jari jari : 10 cm
t = 1570/3,14 x 102
t = 5 cm
Does anyone know how to do This? I don’t get it
Answers
Answer:
jsjjsjejehehhejejejejejejejejjejrjejrjr
Which of the following shows the extraneous solution to the logarithmic equation log7(3x^3+x)-log7(x)=2?
Answers
Answer:
x=4
Step-by-step explanation:
on edge
The extraneous solution to the logarithmic equation log₇(3x²+x)-log₇x=2 is x=16
What is logarithm?When you raise a number with an exponent, there comes a result.
Lets say you get[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = \log_a(c)[/tex]
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
We are given the function as;
log₇(3x²+x)-log₇x=2
Domian: 3x²+x>0
x(3x+1)>0
x∈(-∞,-1/3)U(0,∞)
Hence, x∈(0,∞), Thus x∈(0,∞)
In this problem we use the following formula:
[tex]\boxed {log_ax-log_ay=log_a\frac{x}{y}}\displaystyle\\log_7(3x^2+x)-log_7x=2\\\\log_7(x(3x+1))-log_7x=2(1)\\\\log\frac{x(3x+1)}{x} =2(log_77)\\\\log(3x+1)=log_77^2\\\\log_7(3x+1)=log_749\\\\\\\\3x+1=49\\\\3x+1-1=49-1\\\\3x=48\\\\x=16[/tex]
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Leo had a $30 gift card to use at a coffee shop. He used the entire balance to buy regular-sized coffees, which cost
$2, and large coffees, which cost $3. If he bought 13 coffees in total, how many large coffees did he buy?
Answers
Answer:C
Step-by-step explanation:
Leo bought 4 large coffees.
Answer:
its: C
Step-by-step explanation:
in the sale a price of a shirt is decrease by £3 what was the original price of the shirt
Answers
Answer:
Step-by-step explanation:
Let the price of the shirt after discount = y
Reduction = £3
Original price= y + 3
plz help me due today help me
Answers
Answer:
7.7 %
Step-by-step explanation:
352-325
=27
27/352 x 100/1
7.670
=7.7%
Answer: 7.7%
Step-by-step explanation:
1. 352 - 325 = 27. This is how many students left.
2. x/100 = 27/352 is the equation.
3. Solve for x: 2700/352 = x = 7.6704
This rounded to the nearest tenth is 7.7%
Lee surveyed the 472 employees at the company with over a decade of experience.
Is this sample of the employees at the company likely to be biased?
yes / no
Answers
Answer:
Yes, it is
Step-by-step explanation:
It is biased because all of the employees have over a decade of experienc, what about the newly hired ones?
PLEASE HELP ASAP, MARKING BRAINLIEST!!!
A walking path around the outside of the garden is shaped like a triangle. Two sides of the past that measure 32 ft and 39 feet form a 70 degree angle. If you walk around the entire path one time, how far have you walked?
Answers
BRAINLESS.... for the following proportion, find the missing quantity represented by the letter.
Answers
Answer:
n=56 is the correct answer
3×14=42 so,
4×14=56
:)
looooooook below
GIVING BRAINLIEST
Answers
Answer:
c
Step-by-step explanation:
Answer:
your answer will be B).60cm
Step-by-step explanation:
have a nice day ^_^
Omgg someone help me with this ASAP
Answers
Answer:
1) associative property addition
2) The Distributive Property
3) associative property multiplication
4) Commutative property of multiplication
5) associative property addition
I hope this helps a little bit.
I need help btw i am in middle school
Answers
brainliest, please help, The line PQ has equation y = 3x - 8 and point P has co-ordinates (6, 10). Find the equation of the line that passes through P and is perpendicular to PQ. Give your answer in the form y = mx + c.
Answers
The equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.
Given that, the line PQ has equation y = 3x - 8 and point P has coordinates (6, 10).
We need to find the equation of the line that passes through P.
What is the condition of slope for perpendicular lines?The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has a slope of m, then the slope of the line is -1/m.
Here, the slope of the equation is 3.
The equation of the line that passes through P and is perpendicular to PQ is -1/3.
Now, 10=-1/3(6)+c
⇒c=12
Thus, y=-1/3x+12
Therefore, the equation of the line that passes through P and is perpendicular to PQ is y=-1/3x+12.
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Which mathematical term can be defined precisely?
point
line
distance
circle
ASAP
Answers
Answer:
I think it is option A
point
hope it helps
Answer:
point
Step-by-step explanation:
In the figure below, L || m. Find x.
Answers
a
Play 3)
What is the mean of the data set?
8, 16, 9, 11
Answers
Answer:
Well, you would need to divide 44 by the numbers you have so 44/4=11
I need help with this question
Answers
Answer:
8 or 9^8
Step-by-step explanation:
You have to add the exponents when they are being multiplied without parenthesis which means 3+5=8 so it's 9 to the 8th power.
1. During an average month, 11,000 babies are born in Pennsylvania. I wonder about the probability that during April 2021 the number of babies born in Pennsylvania will be 10% higher than average. What sort of probability distribution should I use to address that question?
Answers
Answer:
3.444
Step-by-step explanation:
3.444
Can anyone help me with this math question
Answers
Answer: C.
Step-by-step explanation: if you add 25.50 to every number it makes sense, since the decimal went from .25 to .75.
PLEASE HELP !!!!!!!! Answer correctly !!!!!!!!! Will be marking Brianliest !!!!!!! URGENT URGENT !!!!!!!!!!!!!!!
Answers
Answer:
ummm ummm i dont know
Step-by-step explanation:
Answer:
B (-5,5)
Step-by-step explanation:
-12+a/2=-6
-7+a=-12
a=-12+7
a=-5
-3+b/2=1
-3+b=2
b=2+3
b=5
what is the slope of 4x + 9y = -9
Answers
Answer: The picture is the answer to your question
Please help Expand 3(y+2)
Answers
Answer:
3y + 6
Step-by-step explanation:
3 x y = 3y
3 x 2 = 6
3y + 6
how many powers with an exponent of 2 are there between 1 and 100?
Answers
There are 10 perfect squares between 1 and 100, and 10 powers with an exponent of 2 between 1 and 100.
What is Number system?A number system is defined as a system of writing to express numbers.
Between 1 and 100, the perfect squares (numbers that can be expressed as the square of an integer) have exponents of 2.
We need to count the number of perfect squares between 1 and 100. These include:
1² = 1
2² = 4
3²= 9
4² = 16
5² = 25
6² = 36
7²= 49
8² = 64
9² = 81
10² = 100
So, there are 10 perfect squares between 1 and 100, and therefore 10 powers with an exponent of 2 between 1 and 100.
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An architect is making a plan for a new circular playground. If the picture below is the
playground, how much fencing needs to go up to
keep the kids in the circle?
Answers
Answer:
201ft
Step-by-step explanation:
The circumference of a circle is equal to
C=piD
d=64ft
substitute:
c=pi(64)=64pift ft
assume pi=3.14
64pi=64*3.14=200.96ft
round to the nearest whole number:
200.96=201ft
another explanation:
Answer:
Length of the fencing required = 201.06 meters
Step-by-step explanation:
Architect is planning a circular playground with diameter = 64 m
We have to calculate the fencing required to cover this playground.
Length of fencing = circumference of the playground
Since circumference of a circle = π × (Diameter)
= 64π
= 201.06 meters
Therefore, length of fencing required to keep the kids in a circle will be 201.06 meters.
200.96 meters of fencing needs to go up to keep the kids in the circle. Therefore, option D is the correct answer.
What is circumference of a circle?The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.
Given that, diameter of a circle is 64 meter.
Here, the radius = 64/2
= 32 meter
We know that, the circumference of a circle can be calculated using 2πr.
Now, circumference = 2×3.14×32
= 200.96 meters
Therefore, option D is the correct answer.
Learn more about the circumference here:
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6 ) hey pls help me with his I have the answers all I need is to show the work
Consider angle B in the diagram below . What is the length of “opposite side” to angle B?
Answer: a
Answers
Answer:
8
Step-by-step explanation:
use pythagoras theorem
a^2+b^2=c^2
a^2+6^2=10^2
a^2=10^2-6^2
a^2=100-36
a^2=64
a=square root of 64
a=8
PLEASE HELP ME ASAP!!!!!
Can you use this pattern to find 111111111*11111111 without a calculator? Please Explain
Answers
Answer:
Can you show me the pattern?
hii im sorry to be a burden but could someone please help me with this problem it has to do with the pythagorean theorem :p
Answers
Answer:
Step-by-step explanation:
10 inches
Answer:
68.5 inches
Step-by-step explanation:
The pythagorean theorem is a^2+b^2 = c^2
In this case, a = 60, b = 33, and we are looking for c, so this is how you do it:
60^2 + 33^2 = 3600 + 1089 = 4689
sqrt(4689) = 68.47627326...
Rounded to the nearest tenth is 68.5!