Answer:
m<PRQ=15°
Step-by-step explanation:
so we're given that PQ and RQ are sides of a regular 12-sided polygon (dodecagon)
a regular polygon is a polygon that has all angles be the same measure AND have all sides be the same length
because of that, PQ=RQ, and ΔPQR is isoceles
now we need to find what the question is asking for: m<PRQ
because of base-angles theorem, m<PRQ=m<RPQ
we need to find m<PQR
a dodecagon is 1800° in measure
and we need 1/12th of that measure, since <PQR is 1 out of the 12 interior angles on the dodecagon (a dodecagon has 12 vertecies, so 12 angles). Also because the polygon is regular, every interior angle has the same measure.
so find the measure of <PQR
<PQR= 1/12*1800=150°
now to find the measure of <PRQ:
there are 180° in a triangle
so subtract 150° from 180°
180°-150°=30°
30° is the sum of the base angles (<PRQ is one of the base angles in a triangle)
the base angles are the same measure, so that means the measure of <PRQ is 1/2 the measure of the sum of the base angles
therefore m<PRQ=15°
hope this helps!
Which value below shows the strongest correlation?
A. 0.72
B. 0.35
C. 0.91
D. 0.99
E. 0.88
F. 0.29
G. 0.06
H. -0.55
Answer:
The answer is D. = 0.99
what is the total number of outcomes from selecting one entree from a choice of nine entrees and one dessert from a choice of three desserts?
solve each system by substitution
-x+y=4
3x-2y=-3
Solve negative 2 x plus 3 is greater than or equal to negative 3
Answer:equal
Step-by-step explanation:
Answer:
x is less than or equal to 3
Step-by-step explanation:
subtract three from both sides which will give you 2x is greater than or equal to -6. then divide by -2 on both sides to isolate x (dividing by a negative number flips the sign and a negative divided by a negative equals a positive) so then you get x is less than or equal to 3
plzz answer it fast asap
Answer:
The length of the box is 6 cm. The width of the box is 3 cm. The height of the box is 2 cm.
Step-by-step explanation:
volume = length x width x height In this instance volume = 36 m³. I will let “b” be the length of the box. “w’ will be the width of the box. And “h” will be the height of the box. Therefore we know that b = 2w and b=3h. So: w= b /2 and h=b /3.
36 m³= b(b/2)(b/3)
36 = b³/6
b ³ = 216
b = 6
w = 6/2 = 3
h = 6/3 = 2
∠1and ∠2 are complementary angles.
m∠1=52°
What is the measure of ∠2?
Answer: 38°
Step-by-step explanation:
Complementary angles are two angles that add up to 90°
Simce the first angle is 52°, subtract 90-52 to get 38°
Find the inverse of the function.
f (x) = (x - 5)3=
Answer:
i think its (x - 5)3 = (x) f
Step-by-step explanation:
Eleanor placed some marbles in a bag for an experiment. She reaches into the bag and grabs a marble. Eleanor writes down the color of the marble and then places the marble back in the bag. This process is repeated 100 times. The marbles are either red, black, or gray. The probabilities of randomly choosing a marble of a given color are shown below.
Answer:
Hi I have this same question but I'm torn between certain and very likely it is on of those options.
Step-by-step explanation:
– x + 7 = 13
X = ?
What is X
HELP ME Using the following equation, complete the square and find the center and radius of the circle:
x2 + y2 + 4x − 6y − 12 = 0
You must show all work and calculations to receive credit.
Answer: [tex](-2,3)[/tex], [tex]r=5\ \text{units}[/tex]
Step-by-step explanation:
Given
the equation is [tex]x^2+y^2+4x-6y-12=0[/tex]
completing the square
[tex]\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2[/tex]
Thus, the center of the circle is [tex](-2,3)[/tex] and radius is [tex]r=5\ \text{units}[/tex]
I know this is in german but i really really need help...
Answer:
i would have helped u
Step-by-step explanation:
but i have forgotten the steps in solving this question
Answer:
is this Afrikaans laguage I don't understand your questions please comment it in English for me
The area of a rectangular field is 99m2. The length of one side is
11m. The farmer needs to know its perimeter to work out how
much fencing will be needed? Help
Answer:
40 m
Step-by-step explanation:
The length of another side
= 99÷11
= 9 m
The perimeter of the field
= 9×2 + 11×2
= 40 m
Answer:
40 m
Step-by-step explanation:
Hi there!
What we know:
The field is rectangularA = 99 m²Length of one side = 11 m1) Find the length of the other side
Plug all the given information into the area formula for a rectangle:
[tex]A=lw[/tex] where A is the area, l is the length and w is the width
[tex]99=11w[/tex]
Divide both sides by 11 to isolate w
[tex]\frac{99}{11} = \frac{11w}{11} \\9=w[/tex]
Therefore, the width of the field is 9 m.
2) Find the perimeter of the field
[tex]P=2(l+w)[/tex] where l is the length and w is the width
Plug in the length (11 m) and the width (9 m)
[tex]P=2(11+9)\\P=2(20)\\P=40[/tex]
Therefore, the perimeter of the field is 40 m.
I hope this helps!
write the equations in slope y-intercept form
Answer:
y =MX + c is the formula of slope intercept form
what is the quotient when the fraction 1/3 is divided by the whole number 6?
Answer:
[tex]\frac{1}{18}[/tex]
Step-by-step explanation:
Diego, Elena, and Andre participated in a walk-a-thon to raise money for cancer research. They each walked at a constant rate, but their rates were different. 3. a. How fast was Diego walking in miles per hour?
Answer:
3 miles per hour
Step-by-step explanation:
It is given that Diego and his friends took part in a walk a thon to raise money for cancer research.
From the table, it is given that:
Time took by Diego in hours = 2 hours
Miles walked by Diego in miles = 6 miles
Therefore, Diego is walking with a speed of = [tex]$\frac{6}{2}$[/tex]
= 3 miles per hour
A coin is flipped 8 times. Find the probability of the event: exactly 3 heads
Answer:
The probability of the coin landing on heads 3 out of 8 times is 0.22, but the closest thing to that is 0.219.
Answer:
Step-by-step explanation:
The answer is exactly 0.219
You have 8 objects and you want to choose 3 of them. 8 Choose 3 looks like
8 * 7 * 6 / 3!
3! = 6
So the answer is 8*7 = 56
There are 2^8 = 256 ways you can throw either heads or tails.
The number of successes = 56/256 = 0.219 The nine is rounded.
Solve for X.
Then, Solve for Y.
Step-by-step explanation:
Refer to attachment.
Hope it helps :D
First solved for x, then for y [tex].[/tex]
Helppp the tutorsss arent workinggg
Answer:
210.82
Step-by-step explanation:
arc length= 2pi r (Ø/360)
= 2x 3.14 x 47(257/360)=210.82
HELPPP PLZZ
What is the radius of a cylinder that has a volume of 500 ft ³ and that is 10 ft tall?
Answer:
The answer is 3.98942, rounded its 3.99.
Step-by-step explanation:
Answer:
3.99 ft
Step-by-step explanation:
Volume of a cylinder = πr²h
π = 3.14
volume = 500 ft³
height = 10 ft
πr²h = 500
3.14×r²×10 = 500
r² = 500/3.14×10
= 15.92..
= √15.92
r = 3.9899.. ≈ 3.99 ft
d. You can multiply cand 8
by in 1(c + 8) to find
an equivalent expression. True
False
Answer:
i don't think you can (but i could be wrong)
Step-by-step explanation:
my thinking is that since there is still an unknown variable even after you've multiplied that there can't be an equivalent expression
1(c+8)*8
=?
good luck :)
i hope this helps
**please let me know if this was incorrect**
have a nice day!
What fraction of the large square is the parallelogram?
Answer:
maybe 14/20
Step-by-step explanation:
Factor the expression completely. 60x^3+50x^5
Answer: 10x^3(6+5x^2)
Write the equation of the line passing
through the point (2, -1) with a slope of -3.
Answer:
y = -3x + 5
Step-by-step explanation:
(2, -1); m = -3
y - y1 = m(x - x1)
y + 1 = -3(x - 2)
y + 1 = -3x + 6
y = -3x + 5
Find the value of x and y. Triangle MNP = triangle TUS
Answer:
x = 32, y = 51
Step-by-step explanation:
Since the triangles are congruent then corresponding sides and angles are congruent, that is
∠ U = ∠ N
∠ N = 180° - (142 + 24)° = 180° - 166° = 14° , then
2x - 50 = 14 ( add 50 to both sides )
2x = 64 ( divide both sides by 2 )
x = 32
and
NP = US
2x - y = 13
2(32) - y = 13
64 - y = 13 ( subtract 64 from both sides )
- y = - 51 ( multiply both sides by - 1 )
y = 51
Using the triangle theorem, the values of x and y is 32° and 51° respectively
From △MNP
∠M + ∠N + ∠P = 180° (Sum of interior angles in a triangle)
N = 180 - (142 + 24)
N = 180 - 168
N = 14°
Equate the expression :
2x - 50 = 14
2x = 14 + 50
2x = 64
x = 64 / 2
x = 32°
From ; 2x - y = 13 _____(1)
Substitute x = 32 into the expression ;
2(32) - y = 13
64 - y = 13
64 - 13 = y
51° = y
Therefore, the values of x and y is 32° and 51° respectively.
Learn more : https://brainly.com/question/8317316
The number of students in a school fell from 700 last year to 646 this year. What is the percentage reduction?
Answer: 7.71%
Step-by-step explanation:
Number of students in a school last year = 700
Number of students in a school this year = 646
Reduction in the number of students = 700 - 646 = 54
The percentage reduction will be:
= Reduction in number / Last year students × 100
= (54 / 700) × 100
= 7.71%
what does tan -1 (0.88) equal
Answer:
-1.3705187977
Which of the following is not a polynomial?
A. 5x^10 - 4x^8 + 2
B. 3x^4
c. x^8 + 2x^3 + 7
D. 5 - x^2 + 7 x^0
Answer:
B
[tex] {3x}^{4} [/tex]
A polynomial must have a constant which is absent in equation B
What would the missing value be?
Answer:
x = 9
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (x, - 5 )
m = [tex]\frac{-5-6}{x-2}[/tex] = [tex]\frac{-11}{x-2}[/tex] , then
[tex]\frac{-11}{x-2}[/tex] = - [tex]\frac{11}{7}[/tex] ← numerators are equal, so equate the denominators
x - 2 = 7 ( add 2 to both sides )
x = 9
Solve these equations: tan^2x-3tanx+2=0
6).
24 eggs are needed to make omelets for 8 people, how many eggs
are needed to make an omelets for 6 people?
Answer:
18 eggs
Step-by-step explanation:
first we divide 24 by 8 to see how many eggs are in one omlete
24/8=3
Now we take 3 times 6 ( because there is 6 people you are making it for)
6x3=18
18 eggs
If you need more help I would love to help!
Answer:
18 eggs
Step-by-step explanation:
1: x/24=6/8
2: 24*6=144-(1st step for cross multiplication)
3: 144/8=18-(2nd step for cross multiplication)
4: 18 eggs-(final answer)
Cross multiplication: Write your 2(or more) equivilent fractions, and write your variable as x or any other letter. If your variable is in the numerator, take the denominator and multiply it with the other fraction's numerator and divide your answer with the denominator of the other fraction. If x is in the denominator, switch your variable with the other fractions numerator and solve the same way you would if the variable was in the numerator-(sorry if I made it to complex, but the idea is really simple:)