Answer:
43 degrees
Step-by-step explanation:
Find WX. Assume that segments which appear to be tangent are tangent.
Answer:
Step-by-step explanation:
Tangent from the point outside the circle are equal
WX = XY
7x - 29 = 2x + 16 {Add 29 to both sides}
7x = 2x + 16 +29
7x = 2x + 45 {Subtract 2x from both sides}
7x - 2x = 45
5x = 45 {Divide both sides by 5}
x = 45/5
x = 9
WX = 7x - 29
= 7*9 - 29
= 63 - 29
WX = 34
Andy and Beth are walking at a constant pace around a circular track. At one point, Andy turn and walks at the same pace directly to the flag pole at the center of the track while Beth continues at the same pace around the track How far did Beth walk, in radians, after they separated?
Answer:
?
Step-by-step explanation:
What are the dimensions of the rectangle shown on the coordinate plane?
The base is 5 units and the height is 4 units.
Hope this helps! :)
You began a shopping spree with $70 in your checking account. You bought a pair of headphones for $19.95. Then, you bought five pairs of shorts for $10.50 each. Then, you went to the bank and deposited a $105 check into your checking account. What is your account balance?
Answer:
$102.55
Step-by-step explanation:
70 - 19.95 - (10.50 X 5) + 105 = 102.55
Write 1/3 x^2 - 4x + 17 in vertex form
Answer:
f(x)=−4(x+ 41 ) 2 − 4 11
Explanation:
The given function is
f(x) = - 4 {x}^{2} - 2x - 3f(x)=−4x 2 −2x−3
To write the function is vertex form, we need to complete the square.
We first factor -4 to get:
f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3f(x−4(x2 + 21 x)−3
Add and subtract the square of half the coefficient of x.
f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3f(x)=−4(x 2 + 21 x+ 16 1 )− 41 −3
We factor the perfect square trinomial and simplify to get:
f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4}f(x)=−4(x+ 41 ) 2 − 4 11
Solve 5x2-2x-8=0 using the quadratic formula.
Answer:
[tex]x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}[/tex]
Step-by-step explanation:
The quadratic formula states that the solutions for a quadratic is standard form [tex]ax^2+bx+c[/tex] are equal to [tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].
In [tex]5x^2-2x-8=0[/tex], we can assign the values:
[tex]a[/tex] of 5[tex]b[/tex] of -2[tex]c[/tex] of -8Thus, we have:
[tex]x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}[/tex]
Answer:
(1+√41)/5, (1-√41)/5
Step-by-step explanation:
quadratic formula is (-b±√(b^2-4ac))/2a
in this equation,
a = 5
b = -2
c = -8
plug in the values
(2±√(4 - 4(5)(-8))/10
(2±√(4 + 160)/10
(2±√(164)/10
(2±2√(41))/10
1. (2+2√41)/10
(1+√41)/5
2. (2-2√41)/10
(1-√41)/5
find the slope! i have more to come so please help:(
=================================
Work Shown:
Rise = -3
Run = 2
Slope = rise/run = -3/2 = -1.5
----------------
Notes:
The rise and run correspond to the vertical and horizontal portions of the triangle shownThe rise is negative because we're going downhill when moving from left to right, so that also means the slope is negative. The run is always positive.Answer:
m = - 3 / 2
Rise : -3
Run : 2
Step-by-step explanation:
According to the picture,
first coordinate : ( 2 , 1 )
second coordinate : ( 4 , - 2 )
Formulae : m=(y2-y1)/(x2-x1)
Substituting,
m = ( - 2 - 1 ) / ( 4 - 2 )
m = - 3 / 2
If this helps you, please mark brainliest!
The answer ISN’T -9/5,3.
Don't have to explain, but if u want then to ahead.
Thank you! :)
Don't forget the square brackets.
=============================================
Work Shown:
[tex]|5x-3| \le 12\\\\-12 \le 5x-3 \le 12\\\\-12+3 \le 5x-3+3 \le 12+3 \ \text{ ... see note 1}\\\\-9 \le 5x \le 15\\\\-9\div 5 \le 5x\div 5 \le 15\div 5 \ \text{ ... see note 2}\\\\-1.8 \le x \le 3\\\\[/tex]
note 1: I added 3 to all sides to undo the "-3" in the middle.
note 2: I divided all sides by 5 to go from 5x to x (ie it undoes the multiplication on x).
--------------------
From there, we convert from compound inequality notation to interval notation.
Something in the form [tex]a \le x \le b[/tex] converts to the interval notation [a,b]
The square brackets say to include the endpoint.
So [tex]-1.8 \le x \le 3[/tex] converts to the final answer of [-1.8, 3]
x is any real number between -1.8 and 3, including both endpoints.
----------------------
It appears you had the right idea. You just needed to convert -9/5 to -1.8, and you also needed to surround everything with square brackets.
If your teacher wanted the answer in fraction form, then you would say [-9/5, 3]
Solve the system of equations.
y = 2x
y = x2-8
O A. (2, 4) and (-4,-8)
O B. (-2,-4) and (-4,-8)
O C. (2, 4) and (4,8)
O D. (-2,-4) and (4,8)
Answer:
D
Step-by-step explanation: Time Stamp (6 9 10 32)
Easiest way is to graph both equation and look for the intersections see attached sreen shot
or solve by substitution
y = 2x
y = x²- 8
2x = x²- 8 solve for x
0 = x² - 2x - 8 factor
0 = (x - 4)(x + 2)
0 = 0 when x = 4 and -2
calculate the y values
y = 2x x = 4
y = 8 (4, 8)
y = 2x x = -2
y = -4 (-2, -4)
help quickly pls area of a triangle: sine formula
Answer:
If you were to use the sine formula you would have to use the cosine formula to get one of the opposite sides and then use the sine formula.
For the area why not use 1/2 * 20 to get the base.
Then the height would be 24 * sin 63 = 21.38
That would give an area of 213.8
The triangle is isosceles find the length h of side x in simplest radical form with a rational denominator
Answer:
x = √3
Step-by-step explanation:
Find the diagram attached
Given
Opposite = √3
Adjacent = x
Acute angle theta = 45degrees
According to SOH CAH TOA;
tan theta = opp/adj
tan 45 = √3/x
x = √3/tan45
x = 1
x = √3
Hence the value of x in its simplest radical form is √3
would the negative reciprocal of -8 be -1/8 or would it be postive?
A city has 18 radio stations, including 4 college radio stations.
What is the probability that a randomly chosen radio station in this city is a college radio
station?
Write your answer as a fraction or whole number.
Answer:
2/9
Step-by-step explanation:
P=4/18=2/9
find the area of this parallelogram. HELP ASAP!
Answer:
260cm^2
Step-by-step explanation:
Given,
Base = 20cm
Height = 13cm
Area of a parallelogram = Base * Height
= 20 * 13
= 260cm^2
Answer:
260
Step-by-step explanation:
Area of parallelogram = base length times height
Given height = 13cm
Given base Length = 20
Area = 20 * 13 = 260
A marble is selected at random from a jar containing 3 red marbles, 4 yellow marbles, and 5 green marbles. What is the probability that the marble is yellow?
Military radar and missile detection systems are designed to warn a country of an enemy attack. A reliability question is whether a detection system will be able to identify an attack and issue a warning. Assume that a particular detection system has a probability of detecting a missile attack. Use the binomial probability distribution to answer the following questions. a. What is the probability that a single detection system will detect an attack
Answer:
0.8 is the probability that a single detection system will detect a missile attack.
Step-by-step explanation:
how to solve 9r^6/5r^3g^2
Answer:
9r^6 - 3g^2 / 5
Step-by-step explanation:
I think this would be the answer. Sorry if I am incorrect :')
A submarine first went down 725 feet below sea level. It then went up 150 feet. What was the final depth of the submarine?
Answer:
575 feet
Step-by-step explanation:
the final depth = 725-150= 575
Which shape has two right angles and at least one obtuse angle? WILL GIVE BRAINLIEST ASAP:)
The trapezoid has two right angles and at least one obtuse angle, the correct option is B.
What is the obtuse angle?A obtuse angle is an angle which is greater than 90° and less than 180°.
A right trapezoid (also called right-angled trapezoid) has two adjacent right angles.
Right trapezoids are used in the trapezoidal rule for estimating areas under a curve.
An acute trapezoid has two adjacent acute angles on its longer base edge, while an obtuse trapezoid has one acute and one obtuse angle on each base.
Hence, the trapezoid has two right angles and at least one obtuse angle.
Learn more about trapezoid here;
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express the following number in words; 3468729165
Answer:
three trillion four hundred and sixty eight million, seven hundred and twenty nine thousand and one hundred sixty five
Step-by-step explanation:
help pleaseee
find the equation of the line passing through (-5, -4) and (13, 5)
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-4) / 13 - (-5)
9 / 18
1/2
y = 1/2x + b
-4 = 1/2(-5) + b
-4 = -5/2 + b
-3/2 = b
A bag contains 2 red marbles, 4 blue marbles and 8 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be blue?
Answer:
Step-by-step explanation:
the odds are 4 in 11
In a right triangle, one angle measures x°, where sin xº 4/5
What is cos(90° - xº)?
==========================================================
Rule:
if A+B = 90, then cos(A) = sin(B) and sin(A) = cos(B)
This can be rephrased into cos(A) = sin(90-A) and sin(A) = cos(90-A)
We'll focus on the second case sin(A) = cos(90-A)
Simply replace A with x and we have the same idea.
---------
So,
sin(x) = cos(90-x)
cos(90-x) = sin(x)
cos(90-x) = 4/5
You can prove this by drawing out a right triangle as shown below.
Need help ASAP DUE SOON PLEASE AND SHOW WORK ?!!!
Answer: 804.25
Step by step explanation:
Can U pls Help Me pls
Answer:
angle x= 60
so it is in the ratio 1:2:√3
√3x=3
ie.x=√3/3
adjacent side=x=√3/4
Step-by-step explanation:
everything can be found in the picture
an architects cWhat is the domain of this relation?
(12, 5)
(20, 0)
(20, 20)
(–13, 0)
Answer:
Domain { -13,12,20 }
Step-by-step explanation:
The domain is the input values
Domain { -13,12,20 }
We list them in order from smallest to largest and do not list repeats
PLEASE HELP AND ASAP!!!!
Find the mean of the given set of numbers. 1, 4, 2, 2, 6, 9
Answer:
4
Step-by-step explanation:
Answer:
There are several different means:
Arithmetic: 4 (This is most likely your answer.)
Geometric: 3.0862
Harmonic: 2.3736
Hope that this helps!
If the height and radius of a cylinder are doubled, how will the volume of the cylinder be affected?
the volume will double
the volume will quadruple
the volume will increase by a factor of six
the volume will increase by a factor of eight
ANSWER QUICK PLEASE!!!
Hope this helps!!!
Have a great day!!!
The volume will increase by a factor of eight.
What is Volume of Cylinder?
The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. Cylinder's volume is given by the formula, πr²h, where r is the radius of the circular base and h is the height of the cylinder.
Volume of Cylinder = πr²h
Put, r = 2R, h = 2H
New volume of Cylinder = π (2R)².2H
= π.4R².2H
= 8πR²H
= 8V
Thus, the volume will increase by a factor of eight.
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Please help me i'm struggling!
Answer:
y = [tex]\sqrt{x-5}[/tex]
This is the correct answer because I got it right.
Which inequality represents “six times a number is less than negative
6x >-39
4
6 + x>-39
6x < -39
4
6x5-393
4
Answer:
6x < - 39 3/4
Step-by-step explanation: