Answer:
(xy - 4)(xy + 4)
Step-by-step explanation:
x²y² - 16 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x²y² - 16
= (xy)² - 4²
= (xy - 4)(xy + 4)
Ray PA is tangent to circle O at point A, PA= 12 units, and the measure of AR is 60°. Answer the following and justify your answer using angle, arc, and special segments relationships with circles,
a) Find the length of the radius of circle O.
b) Find the length of line OP
Answer:
a) radius = 6.9288 units
b) OP = 13.857 units
Step-by-step explanation:
a)
As PA is tangent to the circle, the angle OAP is 90°, and if the angle of the arc AR is 60°, the angle AOP is also 60°.
So we can find the angle APO with the sum of internal angles of the triangle AOP:
90 + 60 + APO = 180
APO = 30°
Now, we can find the radius AO using the tangent relation of the angle APO, where the opposite side is the radius AO and the adjacent side is AP:
tangent(30) = AO / AP
0.5774 = AO / 12
AO = 0.5774 * 12 = 6.9288 units
b)
To find the length of OP, we can use the Pythagoras' theorem in the triangle AOP:
OP^2 = AO^2 + AP^2
OP^2 = 6.9288^2 + 12^2 = 192.01
OP = 13.857 units
A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER.
12 Shelley sells books,
2
On Saturday she is going to give a free book mark and a free dust ever with each book
she sells
All the books are the same size
Shelley needs to buy the book marks and the dust covers,
Book marks come in boxes,
Each box contains 24 book marks.
Dust covers come in packs.
Each pack contains 36 dust covers,
Shelley wants to have enough book marks and dust covers for 250 books,
She buys exactly the same number of book marks and dust covers.
Work out the number of boxes of book marks and the number of packs of dust covers she
buys
You must show all your working
Answer:
12 boxes of bookmarks and 8 packs of dust covers.
Step-by-step explanation:
Shelley wants to have at least 250 bookmarks and dust covers for her 250 books.
One box of bookmarks contain 24 bookmarks.
One pack of dust cover contain 36 dust covers.
Shelley buys same number of bookmarks and dust covers.
So, we need to find out LCM(Least Common Multiple) of 24 and 36 to come to a common number that can be bought.
LCM of 24 and 36 is 72.
But, at least 250 bookmarks or dust covers have to be bought. So, we need to find a multiple of 72 which is greater than or equal to 250.
Let us consider the Table of 72:
72, 144, 216, 288, 360 .....
For having enough count of bookmarks and dust covers, at least 288 bookmarks and dust covers have to be bought.
Number of boxes of bookmarks bought = [tex]\frac{288}{24} \Rightarrow 12[/tex]
Number of packs of dust covers bought = [tex]\frac{288}{36} \Rightarrow 8[/tex]
12 boxes of bookmarks and 8 packs of dust covers.
Divide x³+x²+x+1 by x+1
Answer:
x^2+1
Step-by-step explanation:
x^3+x^2+x+1 / x+1
=(x+1)(x^2+1) / x+1
reduce (x+1) and x+1 and you will get x^2+1
there are 18 blueberries in a bowl .there are 3 times as many blueberries as strawberries in the bowl.how many strawberries are in the bowl?
Answer:
6
Step-by-step explanation:
Number of blueberries = 18
Number of strawberries = 3 times less than blueberries
Number of strawberries
18/3 = 6Answer: 6 strawberries
what is surface area?
Can you help me find x?
Answer:
Im 99 percent sure its b or c
Step-by-step explanation:
but wait for the other kid to answer
Pedro has determined that the probability his shot will score in a lacrosse game is 0.30. What is the probability that he will score on two consecutive shots? 0.09 0.15 0.30 0.60 Jillian has three different bracelets (X, Y, and Z) to give to her friends as gifts in any order she prefers. If bracelet Y is chosen first, in how many ways can Jillian give out the bracelets? 1 2 3 4
Answer:
a) 0.09
b) 2 ways
Step-by-step explanation:
a) Probability Pedro's shot will score will be given as) :
P(score) = 0.30
The probability he will score in 2 consecutive shots will be calculated as:
P(score) * P(score)
= 0.30 * 0.30
= 0.09
Therefore, probability he will score in 2 consecutive shots is 0.09
b) Jillian has 3 bracelets: X, Y, & Z as a gift. If bracelet Y is chosen first, the number of ways Jillian can give out the bracelets since bracelet Y is chosen first, she will have 2 bracelets remaining. So, number of ways to distribute these 2 bracelets are :
= 2!
= 2 * 1
= 2
Which could be in this order:
YXZ or YZX
Therefore, the number of ways if Y is chosen first is = 2 ways
Answer: A. 0.09
Just took test.
2.25x = 1.5x + 6
What is the value of x
Answer:
x=8
Step-by-step explanation:
2.25x=1.5x+6
-1.5x -1.5x
0.75x=6
3/4x=6
x=6*4/3
x=24/3
x=8
Answer:
8
Step-by-step explanation:
Look at the attachment
I NEED HELP NOW PLZ. What is the mean of the data set?
17, 24, 25, 13
Answer:
19.75
Step-by-step explanation:
U add the, all up then divide by 4
Answer:
19.75
Step-by-step explanation:
17+24+25+13= 79
79/4= 19.75
What is the y intercept of y= -3x
A (-3,0)
B ( -3,-3)
C (0,0)
D (0, -3)
Please answer ASAP
Answer:
(0,0)
Step-by-step explanation:
y= -3x
The y intercept is the y value when x =0
Let x =0
y = -3(0)
y = 0
(0,0)
Answer:
C.
Step-by-step explanation:
You can either graph this function to find the y-intercept or set x =0 and solve for y.
What is the value of the expression (–5) -3 but the -3 is an exponent.
Answer:
Answer: -0.008
Step-by-step explanation:
Hope this helped!
Which algebraic expression is equivalent to this expression?
5(3x+2)+18
Answer:
15x+28
Step-by-step explanation:
15x+10+18
15x+28
Find the value of k ,if x=2 and y=3.Find the equation of 2x+3y=k
Answer:
k=13
Step-by-step explanation:
substitute x and y
4+9=k
k=13
Answer:
13
Step-by-step explanation:
Plug in the given x and y values: 2(2) + 3 (3) = k
Then multiply 4 + 9 = k
Then add 13 = k
HELP ASAP PLEASE! EVERY ANSWER IS APPRECIATED! THANK YOU!
Answer:
74°
Step-by-step explanation:
The blue angle and the red angle are supplementary angles (meaning they add up to 180°) because these two lines are parallel. Therefore, 106° + ? = 180°, and the red angle is 74°. Hope this helps!
Answer:
71° will be your answer
Question 11 (1 point)
Identify the literary device being used - "It's so delightful to be home with a sick child twice in one week."
Blank 1:
Answer:
no clue bud
Step-by-step explanation:
The table lists the government ministers of the legendary kingdom of Neverland.
Nqverland.
Sum
Can the government offices be represented as a function of the ministers' names?
please help me i Just need 2 more to finish please
Answer:
No
Step-by-step explanation:
You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.
No, the government offices can not be represented as a function of the ministers' names.
What is a function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Given that, names of offices and their presidents,
Since,
You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.
Hence, the government offices can not be represented as a function of the ministers' names.
Learn more about functions, click;
https://brainly.com/question/12431044
#SPJ5
A triangle has sides with lengths of 8 centimeters, 14 centimeters, and 16 centimeters. Is it a right triangle?
Answer:
No, the triangle is not a right triangle
Step-by-step explanation:
In this question, we are asked to determine if the triangle having the lengths given in the question is a right triangle.
To answer this question, we need to take into consideration a very important property of right angle triangles.
The property is that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides
The hypotenuse is the one with the longest length. Thus, the hypotenuse here is 16 centimeters.
Now let’s have the squares!
The square of the hypotenuse is 16 * 16 = 256
Let’s sum the squares of the other two sides;
(8 * 8) + ( 14 * 14) = 64 + 196 = 260
These squares are not equal so we can conclude that the triangle is not a right triangle
Solve the following system of equations.Express your answer as an ordered pair in the format (a,b),with no spaces between the number or symbols 3x+4y=16 -4x-3y=-19
Answer:
(4,1)
Step-by-step explanation:
3x + 4y = 16
-4x - 3y = -19
4( 3x + 4y = 16)
3( -4x - 3y = -19)
Distribute
12x + 16y = 64
-12x - 9y = -57
Now subtract both equations
7y = 7
/7 on both sides
y = 1
Substitute y = 1 in one of the equations.
3x + 4y = 16
3x + 4(1) = 16
-4 on both sides
3x = 12
/3 on both sides
x = 4
Answer:
x = 4
y = 1
Which table could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsius temperature, C, is the inverse of C(F)?
Answer:
Its A
Step-by-step explanation:
c=-20, -15, -5
f(c)=-4,5,23
gl with your test or quiz
Answer: its A
Step-by-step explanation:
What is the measure of STR
Answer:
Str (Texture aspect ratio) Str is a measure of uniformity of the surface texture
Step-by-step explanation:
Brian invests £2300 into his bank account. He receives 10% per year simple interest. How much will Brian have after 2 years?
Answer:
im pretty sure $460 idk
Step-by-step explanation:
Find an interest by using the formula
I=P⋅i⋅t
, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years. In this
P = $2300, i = 10% and t = 2 years,
A cylindrical swimming pool is approximately 12 feet wide and 4 feet deep. About how many gallons of water can the swimming pool contain? Remember that 1 cubic foot is approximately 7.48 gallons.
Answer:
Step-by-step explanation:
Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as
Volume = πr²h
Where
r represents radius of the cylinder
h represents height
π = constant = 3.14
From the information given,
Diameter = 12 feet
Radius, r = diameter/2 = 12/2 = 6 feet
h = 4 feet
Volume = 3.14 × 6² × 4 = 452.16ft³
Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is
452.16 × 7.48 = 3382.16 gallons
Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.
If her ship hasn't already been hit, Captain Nadia has probability \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.
If her ship hasn't already been hit, dread pirate Tiffany has probability \dfrac{2}{7}
7
2
start fraction, 2, divided by, 7, end fraction of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?
Answer:
Step-by-step explanation:
im confuesd here
what is the slope of the line from the table below hour: 1, 2, 4, 8 distance: 50, 100, 200, 400
Answer:
50
Step-by-step explanation:
The slope is change in y divided by the change in x
Change in distance / change in hour
m = (400-200)/(8-4)
= 200/4
= 50
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5
In a school, 25 % of the teachers teach basic math. If there are 50 basic math teachers, how many teachers are there in the
school?
Answer:
200 teachers
Step-by-step explanation:
Let t= teachers
t * 25% = basic math teachers
t *.25 = 50
Divide each side by .25
.25t/.25 = 50/.25
t =200
Answer:
200
Step-by-step explanation:
The 50 basic math teachers are 25% of all the teachers of the school.
You can use a proportion.
50 is to 25% as x is to 100%
50/25 = x/100
10/5 = x/100
5x = 100 * 10
5x = 1000
x = 200
There are 200 teachers.
Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the garbage truck and recyclables?
Answer:
Step-by-step explanation:
Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons
Answer: 5
Step-by-step explanation:
3+2=5
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
C. Exponential decay
Step-by-step explanation:
plzzzzzzzzzzzzzzzzz i need help nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Answer:
D.
Step-by-step explanation:
So find what two numbers multiply to 72 and add up to 17
9 and 8
(z + 9)(z + 8)
Answer:
D. (z + 9)(z + 8)
Step-by-step explanation:
Let's factor z2+17z+72
z2+17z+72
The middle number is 17 and the last number is 72.
Factoring means we want something like
(z+_)(z+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 17
Multiply together to get 72
Can you think of the two numbers?
Try 8 and 9:
8+9 = 17
8*9 = 72
Fill in the blanks in
(z+_)(z+_)
with 8 and 9 to get...
so (z + 9)(z + 8)
