Answer:
a⁸=112 is the answer.
Step-by-step explanation:
a⁸=32(1/2)⁷
a⁸=32(7/2)
a⁸=112
Can someone help me with this? Please this would mean so much.
Answers:
x = angle MLN = 35 degrees
angle FLJ = 55 degrees
=================================================
Explanation:
This problem is fairly tricky if you're not sure what to look for. A slight clue is that they've marked a red point that strangely doesn't have a label on it. It's a fairly small point but it's definitely there if you look closely. While this point's location isn't exactly what we want, we're fairly close. Start at point L and draw a ray through the center point P. Ray LP will intersect the circle at point A, as shown in the diagram below.
From here, draw segments FA and MA. Now notice that inscribed angle LMF = 55 and inscribed angle FAL both subtend the same arc. The term "subtend" basically means "cut off". This arc that the inscribed angles subtend is minor arc FL. A minor arc is where you travel the shorter path around the circle, which indicates its measure is less than 180 degrees.
Since inscribed angles LMF and FAL subtend the same minor arc, this makes the inscribed angles to be congruent.
In short: angle FAL is 55 degrees
----------------------
Segment LA goes through the center P. Through Thales theorem, we know that inscribed angle LFA is 90 degrees. Consequently, we can determine that inscribed angle FLA is 90-55 = 35 degrees.
Segment JL is tangent to the circle, meaning that angle ALJ is 90 degrees. So angle FLJ is 90-35 = 55 degrees.
It's not a coincidence that angle FLJ, angle FAL, and angle LMF are the same measure.
----------------------
We found that angle FAL was 55 degrees. Applying Thales theorem again shows that angle MAF is 90 degrees. Therefore, angle LAM is 90-55 = 35 degrees.
Focus now on triangle LMA. This is also a right triangle (Thales Theorem). The upper acute angle we found was angle LAM = 35, so the lower acute angle is ALM = 55.
Then we can find angle MLN = (angle ALN) - (angle ALM) = 90 - 55 = 35
In short, angle MLN = 35 degrees
Similar to the previous section, it is not a coincidence that angles LFM, LAM and MLN are the same measure.
------------------------
As an alternative, since we know angle FLJ = 55, and angle FLM is 90 degrees, this means...
(angle FLJ)+(angle FLM) + (angle MLN) = 180
55 + 90 + angle MLN = 180
145 + angle MLN = 180
angle MLN = 180 - 145
angle MLN = 35 degrees
State six ordered pairs for this function.
F(x) = x2 +14x+45
The golden ratio is denoted by which Greek letter?
A. Beta
B. Omega
C. PHI
D. PSI
the golden ratio is denoted by which greek letter?
Φ phi
Solve the equation by factoring: 12y^3 – 13y^2 + 3y = 0
Answer:
y = 0, y = [tex]\frac{1}{3}[/tex], y = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given
12y³ - 13y² + 3y = 0 ← factor out y from each term
y(12y² - 13y + 3) = 0
y(3y - 1)(4y - 3) = 0 ← in factored form
Equate each factor to zero and solve for y
y = 0
3y - 1 = 0 ⇒ 3y = 1 ⇒ y = [tex]\frac{1}{3}[/tex]
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]
Work out the value of x.
Answer:
x = 15
Step-by-step explanation:
180 = 90 +4x +2x
90 = 6x
15=x
Evaluate f(8): SHOW ALL YOUR WORK
f(x) = x2 – 4
Answer:
60
Step-by-step explanation:
substitute x=8
f(8)=(8)2-4=60
Answer:
60
Step-by-step explanation:
f(x) = x² - 4
f(8) = (8)² - 4 = 64 - 4 = 60
find the angles of x and y
or, x=180
or,34=180
or,180-34
or x=146
Now,
or, y=146
or,18=146
or146-18
or, y=128
there is x is 34 and its all side angle is 180 degree So put x =180 and then put x value is 34 =180 and there is no values in front of 34 so there will be + and if +so in another side it will be - and then after put 180-34=146
if someone can please answer the question in the picture thatd be great
Answer:
≈ 20.8 ft
Step-by-step explanation:
A right triangle is formed between the wall, the ground and the ladder.
The ladder is the hypotenuse , the wall and ground are the legs.
let h be the height of the wall, then using Pythagoras' identity
h² + 33² = 39²
h² + 1089 = 1521 ( subtract 1089 from both sides )
h² = 432 ( take the square root of both sides )
h = [tex]\sqrt{432}[/tex] ≈ 20.8 ft ( to the nearest tenth )
please help me with geometry questions
Answer:
[tex]\angle NPM[/tex]
Step-by-step explanation:
Given
Circle of center P
Polygon JKLMN
Required
The central angle of JKLMN
From the question, we have that: the polygon and the circle have the same center (P).
This means that any central angle must pass through P
By this, PMN and NJK are incorrect
QPK divides the polygon and point Q is not on the vertex of the polygon.
By this, QPK is also incorrect
The final option NPM is correct, because P is at the center and points N and M are at the vertices of the polygon
i need help, you’ll receive brainlest!
Answer:
D)
Step-by-step explanation:
Obtuse can have right angles.
True or False
False. Obtuse is always greater than 90°.
Answer:
False
Obtuse triangles can't have right angles
Carter's last ten shot put distances, in meters,are shown in the list 20.24, 20.11, 19.95, 19.99, 20.02, 19.88, 19.97, 20.21, 20.07 move words to the blanks to describe the measure of variability for this data set
Answer:
mad symmetric without
Step-by-step explanation:
Plz help on this as soon as possible
Please help I NEED THE ANSWER IN THE NEXT 2 MINUTES
Answer:
6 bc yes
Step-by-step explanation:
Select the correct comparison.
Set A
Set B
0
2 A
68
2 4 6 8 10
O.
A. The typical value is greater in set A. The spread is greater in set B.
B. The typical value and the spread are both greater in set B.
C. The typical value is greater in set B. The spread is greater in set A.
ОО
D. The typical value and the spread are both greater in set A.
Answer:
C
Step-by-step explanation:
Middle school math ! Plz help!!
Answer:
x < 11
Step-by-step explanation:
-9x + 40 > -59
Subtract 40 from each side.
-9x > -99
Divide by -9 on each side. (flip the symbol)
x < 11
In a right triangle, angle θ has a cosine value of 0.755. The side adjacent to angle θ has a length of 51.5 mm. What is the length of the hypotenuse of the triangle?
68.2 mm
38.9 mm
92.5 mm
41.0 mm
Answer:
I got that it was 68.2mm.
Step-by-step explanation:
Option A is correct, the length of the hypotenuse of the triangle is 68.2 mm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. That is:
cos(θ) = adjacent/hypotenuse
We know that cos(θ) = 0.755 and the length of the adjacent side is 51.5 mm.
Let's denote the length of the hypotenuse by "h".
Then we can solve for "h" as follows:
cos(θ) = adjacent/hypotenuse
0.755 = 51.5/h
h = 51.5/0.755
h = 68.21 mm
Therefore, the length of the hypotenuse of the triangle is approximately 68.2 mm.
To learn more on trigonometry click:
https://brainly.com/question/25122835
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I NEED HELP ASAP. I WILL GIVE BRAINLIEST
A principal of $4000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 10 years? Use the calculator provided and round your answer to the nearest dollar.
Annually compoudning interest formula
PV(1+i)ⁿ
4000(1+.0775)¹⁰=8437.869021
which rounds to
$8437.87
If you were to do this on a financial calculator it would look like this:
N=10
I/Y=7.75
PV=4000
PMT=0
CMPT FV = same answer
A new car is purchased for $17300. The value of the car depreciates at 9.25%
per year.
IS THIS EXPONENTIAL OR DECAY????? Help
Answer:
Exponential
Step-by-step explanation:
Stem-and-leaf plots provide a way to graphically compare data, unlike histograms. However, they are more difficult to construct. B. Stem-and-leaf plots can compare quantitative data to qualitative data, unlike histograms. However, they are not very useful for large data sets. C. Stem-and-leaf plots are easier to make and can contain more information than histograms. However, they are not very useful for large data sets. D. Stem-and-leaf plots are more useful for large data sets and can display more information than histograms. However, they are more difficult to construct.
Question:
Discus the advantages and disadvantages of histograms versus stem-and-leaf plots
Answer:
C. Stem-and-leaf plots are easier to make and and can contain more information than histograms. However, they are not very useful for large data sets
Step-by-step explanation:
A stem and leaf plot is a graphical presentation of quantitative data similar to an histogram. However, a stem and leaf plot retains and present the values of the original in the data set such that individual data values can be seen and can then be used to make analysis
The stem and leaf plot consists of a stem and a leaf arranged in the order of place value, such that the numbers having a common highest place value are arranged on a row in a stem and leaf plot and therefore a stem and leaf plot is easier to make or construct than an histogram
However, it is very rare to find stem and leaf plots having more than 50 datasets or observations.
b) Describe how to convert from the vertex form to standard form.
Answer:
go on MATH.WAY. it'll give you the answer and explanation. hope it help
Step-by-step explanation:
:)))
Can someone please help me with math.
Answer:
11) C
14) B
Step-by-step explanation:
11) find the y-int (4) and slope (-4)
14) Complete the pattern for the table 4-20 ; 5-25 and for the graph, look for the y value when x is at 5 (20) so NY will have more snowfall.
Solve equation.
2x-5=-3+2x
Answer:
x = 2
Step-by-step explanation:
i need help with this
Answer:
(1,3)
Step-by-step explanation:
It is the intercept of the two lines
PLEASE HELP! FAST
Find the volume of the remaining solid if the cylinder is removed from the center of a right rectangular prism. The diameter of the cylinder is 3 feet. Use 3.14 for pu and round to the nearest tenth if needed.
Which expression is equivalent to 64y^18 - 1000z^6?
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Expression is equivalent to 64y¹⁸ - 1000z⁶ : (4y⁶)³- (10z²)³
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Help please!!!!!!!!!!!!!!!!
Answer:
i cant see it
Step-by-step explanation:
y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x=12
Complete the table using division to figure out the ratios that are equivalent to 40/28.
? ? 40
? ? 28
Answer:
[tex]\frac{40}{28} =\frac{20}{14} =\frac{10}{7}[/tex]
Step-by-step explanation:
[tex]\frac{40}{28} =\frac{20}{14} =\frac{10}{7}[/tex]
first divide both the numerator and the dnominator by 2,
then by 4.
HELP ME WITH THIS PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]\sqrt{3}[/tex] = m
Step-by-step explanation:
So we can say;
Tan(30) = m/3
=> Tan(30) * 3 = m
=> [tex]\sqrt{3}[/tex] = m
Hope this helps!