Answer:
75 degrees
Step-by-step explanation:
From the first part of the diagram,
vertically opposite angles are equal,
hence we have
125° + (4x-5)° + 125° + (4x-5)° = 360°
(Angles about a point equals 360°)
4x – 5 + 4x – 5 + 125 + 125 = 360
8x + 250 – 10 = 360
8x = 360–250 + 10
8x = 120
x = 15°
Now we have (5x)° in the second part.
5x = 5 × 15 = 75°
1 is vertically opposite to angle 75°
hence it is equal to 75 degrees.
Answer:75
Step-by-step explanation:
simplify the following
[tex]simplify \: the \: follwing \: \\ logx \: x9[/tex]
please I need help
Answer:
9
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] = nlogx
[tex]log_{b}[/tex] b = 1
Then
[tex]log_{x}[/tex] [tex]x^{9}[/tex]
= 9[tex]log_{x}[/tex] x
= 9
HELPASAP (15 points)
A circle with an arc length of ____ centimeters is intercepted by a central angle of 3pi/4 radians has a radius of ____ centimeters.
1st Blank Options: 12pi, 4pi, 2pi
2nd Blank Options: 3, 16, 24
Ilhan needs to write in function notation and evaluate this equation at the given value of the
independent variable. What answer should she get? 6x + y = 3; x=3
Answer:
it should be the second one I hope this help
Margaret took a trip to Italy. She had to convert US dollars to euros to pay for her expenses there. At the time she was traveling, the conversion rate was represented by the function , where n is the number of dollars and E(n) is the equivalent value in euros. Later, she traveled to Dubai and converted her remaining euros into the local currency, UAE dirhams. At that time, the conversion rate was represented by the function , where x is the number of euros and D(x) is the equivalent value in dirhams. Which function can be used to convert n dollars directly to dirhams?
The conversion rate US dollars to Euros is represented with the function:
E(n)=0.72n
n- number of dollars
E(n) - Euros as a function of US dollars
The conversion rate Euros to Dirhams is :
D(x)=5.10x
x- number of Euros
D(x)- Dirhams as a function of Euros
We are trying to find D(x) in terms of n.
D(x) = 5.10x
x can be rewritten as E(n)
D(x) = 5.10(E(n))
D(x) = 5.10(E(n))
D(x) = 5.10(0.72n)
D(x) = 3.672n
According to this the following statement is true:
A) (D x E)(n) = 5.10(0.72n)
please help with these two questions!!
6√5 + 3√6 = 6√5 + 3√6 [cannot be simplified]
; roots do not contain any perfect squares, and the roots are not similar.
6√5(3√6) = 18√30 [can be simplified]
; although roots do not contain any perfect squares, the product rule can be applied to create a singular expression.
Solve for x. X/5-x/6=1/3 x = 10 x = 1/90 x = 1/10
Answer:
x=10
Step-by-step explanation:
I hope this will help you
What is the initial value of 34.2 x 3^x
Initial value is your y intercept, and to find that you just need to substitute 0 for x. Anything to the power of 0 is just 1. So you get 34.2(1), which means that your initial value is 34.2.
Determine the constant of variation for the direct variation given. (0, 0), (3, 12), (9, 36)
12
4
3
Answer:
4
Step-by-step explanation:
y = kx
Use point (3, 12).
12 = k * 3
k = 12/3 = 4
y = 4x
Answer: 4
Divide y by x:
12/3 = 4
36 / 9 = 4
The constant of variation is 4
Please help ASAP!!!!
========================================================
Explanation:
The two points mentioned in bold are midpoints of segments AB and AC respectively.
To find the coordinates of a midpoint, you add up the x coordinates and divide by 2. Do the same with the y coordinates.
For example, points A and B are at (7,6) and (1,-2)
If we add up the x coordinates and divide by 2, then we get (7+1)/2 = 4. Do the same for the y coordinates to get (6+(-2))/2 = 2. So that's how (4,2) is the midpoint of segment AB. You'll use similar logic to find that (8,2) is the midpoint of segment AC.
A slight alternative is that once you find one midpoint is (4,2), you can draw a horizontal line until you reach (8,2). We're using the idea that the midsegment is parallel to BC which is also horizontal.
Sally is serving lemonade to four friends. She is serving 4/7 cup per person.
Estimate how much lemonade she needs. Then calculate exactly how much she needs. What is the difference between the estimate and actual amount?
pls help, :)
Answer:
oi ngl levi is hawt I like your pfp ^^
Step-by-step explanation:
my name is Riley
Plz help me with this thank you
Answers:
One possible equation to solve is tan(x) = 4/15That solves to roughly 15 degrees==============================================================
Explanation:
Refer to the diagram below.
The segment AB is the player's height of 6 ft.
The segment CD is the hoop's height, which is 10 ft.
There is a point E on CD such that rectangle BACE forms. This will help us form ED later.
Angle EBD is what we're after, which I'll call x.
Since the free throw line is 15 ft from the basket, this means segments EB and AC are 15 ft each.
In rectangle BACE, the side EC is opposite AB. So both of those sides are 6 ft each.
Since CD = 10 and EC = 6, this must mean ED = CD-EC = 10-6 = 4.
---------------------------------------
To summarize, we found that ED = 4 and EB = 15.
We'll focus our attention entirely on triangle EBD
We have two known legs of the triangle, specifically the opposite and adjacent sides.
So we'll use the tangent ratio.
tan(angle) = opposite/adjacent
tan(B) = ED/EB
tan(x) = 4/15 .... is the equation to solve
x = arctan(4/15) .... same as inverse tangent or [tex]\tan^{-1}[/tex]
x = 14.931417 ..... make sure to be in degree mode
x = 15 ..... rounding to the nearest whole degree
So that unknown angle in the diagram is approximately 15 degrees
find the volume of each figure. Round to the nearest tenth if necessary.
Answer:
112
Step-by-step explanation:
The volume is given by l*b*h=4*4*7=112
Trey took 5/4
hours to clean the bedroom. He took1/2
hours to clean the den. How much longer did it take Trey to clean the bedroom?
Write your answer as a mixed number in simplest form.
Answer:
3/4 more hours
Step-by-step explanation:
Hours taken to clean bedroom = 5/4
Hours taken to clean den = 1/2
How much more = 5/4 - 1/2
5-2/4 (common denominator)
3/4 more hours (It's a propper fraction, so we can't write it as a mixed number)
Answer from Gauthmath
consider the lines and the transversal drawn in coordinate plane below.
Answer:
i dont know man
Step-by-step explanation:
i dont know
Help please I don’t understand this
Answer:
x=-2
sorry i messed up coord val :/
Step-by-step explanation:
Answer:
x = -2
Step-by-step explanation:
a parabola is symmetric (has a mirror image)
a parabola has ONE vertex (a highest or lowest point).
thus a line that goes through the vertex is it's axis of symmetry.
x = 5 , x=99, x=102 are vertical lines that intersect the x axis no matter what the y value is....
your axis of symmetry is a line that looks like X= SOMETHING
the "something" is the X value of the vertex, which is (-2,3)
this the equation x = -2 is the answer ... see the image
suppose you roll to standard number cubes. let event a be rolling a 4 on the first die and let event b be rolling a 3 on the second die. are a and b independent events? are a and b mutually exclusive events. explain.
Answer:
The events are independent and are not mutually exclusive.
Step-by-step explanation:
Two events A and B are independent if the outcome of each of them does not affect the outcome of the other.
And two events are mutually exclusive if these can't occur at the same time.
Here the events are:
a = rolling a 4 on the first die
b = rolling a 3 on the second die.
Becuase, these are number cubes, we know that the outcome of one die has no impact in the outcome of the other die.
And because each outcome is on a different die, we can conclude that these events are independent.
(rolling a 4 in the first die does not change the probability of getting a 3 when we roll the second die).
Now, the events are mutually exclusive?
No, we can roll both dices and get a 3 in the first one and a 4 in the second one, so these events can happen in the same time.
Answer:
YES.
Step-by-step explanation:
The event rolling a number '4' and the event rolling a number '3' are mutually exclusive events because both of them cannot occur at the same time.
Just took quick check
In how many ways can a
television programming director
schedule six different
commercials in the six time slots
allocated to commercials during a
1-hour program?
n!
Note: „P,
(n-r)!
Please HELP ME!!!!!!
Answer:
720
Step-by-step explanation:
Using the equation given
[tex]\frac{6!}{(6-6)!}=\frac{6!}{0!}=\frac{6!}{1}=720[/tex]
Please help me find the length of the line!
Answer:
The length of the segment is 10.
Step-by-step explanation:
Think of the segment as the hypotenuse of a right triangle.
Draw the legs and label the lengths.
See the picture below.
The length of the hypotenuse is c.
c^2 = a^2 + b^2
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
c = 10
Answer: 10
Please help me :)))!!!!!!
Answer:
16 × X + 3=
Step-by-step explanation:
u will get your answer
help me friends write in copy
20 pts so don't spam
Answer:
ii
Step-by-step explanation:
from what you've written in the comments I think this question requires you to find the equation that can be expressed in two variables,so the best way to do this is to solve the pairs as simultaneous equations and see the ones that will give you two answers x and y
if you solve the first pair you will have
x + y = 5
2x+2y=10
2(x + y =5)
1(2x+2y=10)
2x+2y=10
2x+2y=10--
now from this you will see that it cannot be expressed as two variables because the answer is just zero..
for the second equation it can be expressed as two variables
x - y = 8
3x-3y =16
3(x-y =8)
1(x-3y=16)
3x-3y=24
x - 3y=16
2x/2=8/2
x=4
x-y=8
4-y=8
-y=8-4
-y/-1=4/-1
y=-4...
so you see it can be expressed as two variables..
if you solve the third one it will also give you an answer which is zero so it can't be expressed as two variables.
and the fourth one also cannot.
I hope this helps and if you don't understand feel free to ask..and sorry if it's wrong
Solve: -15/2 + 5y divided by 5/2
Answer:
- 3 + 2y
Step-by-step explanation:
[tex]\frac{-\frac{15}{2} +5y}{\frac{5}{2} }[/tex]
[tex]\frac{2}{5}( -\frac{15}{2} +5y} )[/tex]
[tex]-3+2y[/tex]
Step-by-step explanation:
Division by a fraction such as 5/2 is equivalent to multiplication by the reciprocal of the fraction (2/5).
Multiplying (-15/2 + 5y) by 2/5 yields:
-3 + 2y (answer)
Write the slope-intercept form of the equation of the line described. Through (-1,-1) parallel to y=6x-2
Answer:
[tex]\boxed {\boxed {\sf y= 6x+5}}[/tex]
Step-by-step explanation:
We are asked to find the slope-intercept equation of a line. Slope-intercept form is one way to write the equation of a line. It is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We are given a point (-1, -1) and the line is parallel to the line y= 6x-2. Since the line is parallel to the other line, they have the same slope, which is 6. We have a point and a slope, so we should use the point-slope formula to find the equation of the line.
[tex]y-y_1= m (x-x_1)[/tex]
Here, m is the slope and (x₁, y₁) is the point. We know the slope is 6 and the point is (-1, -1). Therefore:
m= 6x₁= -1y₁= -1Substitute the values into the formula.
[tex]y- -1 = 6(x- -1) \\y+1= 6(x+1)[/tex]
Distribute the 6. Multiply each value inside the parentheses by 6.
[tex]y+1 = (6*x)+ (6*1) \\y+1= 6x+6[/tex]
Slope-intercept form requires y to be isolated. 1 is being added to y. The inverse of addition is subtraction. Subtract 1 from both sides.
[tex]y+1-1=6x+6-1 \\y= 6x+5[/tex]
The equation of the line in slope-intercept form is y=6x+5
Can someone help me I need it.
Answer:
C is the answer 3rd one...
A line of best fit must pass through all data points of a graph.
True or False?
Kristi finds a shirt for $27.99 at the store.
The sign says that it is 25% off the
original price. Kristi must also pay the 8.5%
sales tax. What is the cost of the shirt
after the sales tax?
Answer:
Kristi will pay $22.77 for the shirt.
Step-by-step explanation:
First, determine the sales price of the shirt. If the full price is $27.99, a 25% reduction is $7. Subtract the discount from the full price to get a sales price of $20.99 for the shirt.
Next, determine the amount of tax Kristi will pay for the shirt. In her state, the sales tax is 8.5% (0.085). Multiply $20.99 by 0.085 and you will see that the sales tax is $1.78. Add the amount of the tax, $1.78, to the sales price of the shirt, $20.99, and you will get $22.77 as the cost of the shirt after the sales tax is added.
Friends, i need help with this question.
Answer:
Step-by-step explanation:
The answer is 4.
Once you add 4, you get:
x^2 -2x + 4 = 7.
The left side is factorable:
(x-2)^2 = 7.
There is your perfect square.
Find the missing length of the following trapezoid
Answer:
1) The length of [tex]DC[/tex] is 20.
2) The length of [tex]PS[/tex] is 17.
Step-by-step explanation:
1) If [tex]DR = RE[/tex] and [tex]CS = SB[/tex], then we can use the following proportionality ratio:
[tex]\frac{DE}{DR} = \frac{32 - x}{26 - x}[/tex] (1)
Where [tex]x[/tex] is the length of segment [tex]\overline{CD}[/tex].
If [tex]DE = 2\cdot DR[/tex], then the value of [tex]x[/tex] is:
[tex]2 = \frac{32-x}{26-x}[/tex]
[tex]52 - 2\cdot x = 32 - x[/tex]
[tex]20 = x[/tex]
The length of [tex]DC[/tex] is 20.
2) If [tex]QV = VP[/tex] and [tex]RW = WS[/tex], then we can use the following proportionality ratio:
[tex]\frac{QP}{QV} = \frac{x-7}{12-7}[/tex] (2)
Where [tex]x[/tex] is the length of segment [tex]\overline{PS}[/tex].
If [tex]QP = 2\cdot QV[/tex], then the value of [tex]x[/tex] is:
[tex]2 = \frac{x-7}{5}[/tex]
[tex]10 = x-7[/tex]
[tex]x = 17[/tex]
The length of [tex]PS[/tex] is 17.
HELPPP MEEEE OUTTTTTT ITS URGENTTTTT!!!!
Answer:
(x-12)^2+(y-2)^2=4
Step-by-step explanation:
i am thinking of a number.l take away 5. the result is 14 . what number did i think
Step-by-step explanation:
First sentence
Let the number be X
second sentence
X-5
Third sentence
X-5=14
X=19
The number is 19
Hi there!
»»————- ★ ————-««
I believe your answer is:
19
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{"I am thinking of a number. l take away 5. The result is 14."}\\\\\text{5 taken away from 'said number' would be 14.}\\\\\boxed{n-5=14}\\\\\\\boxed{\text{Solving for 'n'...}} \\\\\rightarrow n - 5 + 5 = 14 + 5\\\\\rightarrow \boxed{n = 19}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What’s the answers ?
hope this helps! feel free to clarify if unsure
