Answer:
38 degrees
Step-by-step explanation:
this is an isosceles triangle, meaning that the base angles are congruent.
the total triangle is equal to 180
so the equation would be: x=180 - (71+71)
evaluate:
x=180-142
x=38 degrees
Hope this helps :)
Regular hexagon ABCDEF is inscribed in circle X and has an apothem that is 6√3 inches long. Use the length of the apothem to calculate the exact length of the radius and the perimeter of regular hexagon ABCDEF. In your final answer, include your calculations.
Answer:
Part A
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the given values we get;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
R = 12 inches
The radius of the circumscribing circle is 12 inches
Part B
The length of each side of the hexagon, 's', is;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
s = 12 inches
The perimeter, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon is 72 inches
Step-by-step explanation:
The given parameters of the regular hexagon are;
The length of the apothem of the regular hexagon, a = 6·√3 inches
The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;
[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]
Where;
n = The number of sides of the regular polygon = 6 for a hexagon
'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;
Part A
Therefore, we have;
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the values gives;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
The circumradius, R = 12 inches
Part B
The length of each side of the hexagon, 's', is given as follows;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore, we get;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
The length of each side of the hexagon, s = 12 inches
The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon = 72 inches
Answer: radius = 12, perimeter = 72
Step-by-step explanation:
We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.
so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6
long leg = 6√3
long leg = short leg √3
short leg = 6
hypotenuse (radius) = 2(short leg)
hypotenuse (radius) = 2(6)
hypotenuse (radius) = 12
The radius of hexagon ABCDEF = 12 inches
Perimeter = r (sides)
Perimeter = r (6)
Perimeter = 12 (6)
Perimeter = 72
The perimeter of hexagon ABCDEF = 72 inches
How do you find 3/4 of 20
Fast response please!!
Answer:
15
Step-by-step explanation:
3/4(20/1) = (3*20)/(4*1)
60/4
15
Does anyone know the answer to this?!
Answer:
x = 10cm
y = 45 degrees
Step-by-step explanation:
oof oof oof oof oof oof
In general, describe how the outcome of the hypothesis test changes as the level of significance decreases.
Answer:
The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.
Step-by-step explanation:
As the level of significance is decreased the area for the favorable outcomes is increased. The value of ∝= 0.1 has a narrower area of favorable outcomes then the values of ∝= 0.05 or 0.01 because the value 0.1 ( 1%) is closer to the middle value or at the extreme values of the distribution as the case may be for 2 tailed or 1 tailed test.
Significance level Two tailed Test One tailed test
0.1 ± 1.645 ±1.28
0.05 ±1.96 ± 1.645
0.01 ± 2.58 ± 2.33
So if the middle point is taken as zero we see that the spread of the area of the favorable values increases as the value of ∝ significance level decreases.
The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.
PLEASE HELP! NO LINKS OR I WILL REPORT!! I SUCK AT ALGEBRA
Answer:
-5 and 3
Step-by-step explanation:
(-(-2) +/- √(4- (4(1)(-15))) ÷ 2
(2 +/- √64 )÷ 2
(-2+8) ÷ 2 = 3
(-2 -8) ÷ 2 = -5
can somebody help me answer a question please
Answer:
The IQR is 30 grams
Step-by-step explanation:
IQR=Q3-Q1=150-120=30
a. The sum of two numbers is 22 and their difference is 14.
i. Form the simultaneous equations.
ii. Find the two numbers.
need help plz.......
Answer:
oh I see. that's an interesting question but the problem is I hate maths
If c is a positive number, how many solutions does √x = c have? Explain.
Answer:
varied
square root of number never result negative number
Step-by-step explanation:
There will only be one real solution.
If [tex]x[/tex] is a real number, the square root function [tex]\sqrt x[/tex] will only have real solutions when [tex]x\ge0[/tex].
For [tex]x<0[/tex], we get imaginary solutions.
Also, when [tex]\sqrt x> 0[/tex], [tex]x>0[/tex]
In other words, when the square root of [tex]x[/tex] is a positive real number, [tex]x[/tex] will be a unique positive number.
We can see this when trying to solve the equation given in the question
So, the equation
[tex]\sqrt x=c[/tex]
where [tex]c>0[/tex], when solved, will give
[tex]\sqrt x=c\\(\sqrt x)^2=c^2\\x=c^2[/tex]
We will have a unique solution because squaring a positive real number gives a single result.
Learn more here: brainly.com/question/24117016
Anyone know how to answer this math question
Answer:
Step-by-step explanation
x^2+y^2=25
Enter the correct answer in the box.
Solve this system of equations.
y=2x-5
y=-2x+3
x=
y=
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
2, -1
Step-by-step explanation:
Mary wants to make bouquets of roses. She has 32 lavender roses, 48 pink roses and 64 white roses. She wants each bouquet to have the same number of flowers of each color. What is the maximum number of bouquets she can make? Choose only ONE best answer. А 8 B 16 C 24 D 32 E 192
Answer:
32)
Step-by-step explanation:
The reason is the least amount of flowers is 32 and since she doesnt have anymore flowers of that type she cant make more bouquets
I hope you found this helpful!
-7x + y = -2 in slope-intercept form. what is the y-intercept and slope?
add -7x to the other side so the equation is
y=7x-2
slope is 7
y-int is -2
I need help please! DON'T USE LINKS! WILL BE REPORTED
9514 1404 393
Answer:
222 cm²
Step-by-step explanation:
The surface area can be found using the formula ...
A = 2(LW +H(L+W))
To minimize fraction nonsense, we'll let H be the fraction.
A = 2(12·8 +(3/4)(12 +8)) = 2(96 +15) = 222
The surface area of the prism is 222 square centimeters.
At a school, 133 students play at least one sport. This is 35 % of the students at the school. How many students are at the school?
Answer:
380 students
Step-by-step explanation:
133 = 35%
[tex]\frac{133}{35}[/tex] = 1%
3.8 = 1%
3.8 * 100
= 380
Which expression represents the difference of (6x - 5) - (-x - 4)?
(6x-5)-(-x-4)
6x-5=x+4
6x-x=4+5
5x=9
PLSSSSSSSSSSS HHELPP IM BEGGING YOU
como ordeno de menor a mayor el siguiente polinomio : x^4 y^4+x^4 y^3-x^6 y^2+x^8 y+y^5
Answer:
Un polinomio se ordena de forma ascendente con respecto a una variable, si los exponentes de esta variable aparecen de menor a mayor los términos del polinomio. Un polinomio se ordena en forma descendente con respecto a una variable cuando los exponentes de la variable aparecen de mayor a menor.
Le he proporcionado un cuadro a continuación, espero que ayude :)
The radius of a circle measures 11cm. what is the circumference of the circle?
Answer:
C = 69.08
Step-by-step explanation:
C = 2πr
C = 22π or 69.08
On a tree, the trunk splits into 5 branches. Then each branch splits into 5 smaller branches, and each of those branches splits into 5 very thin branches. How many very thin branches are on the tree?
Answer:
There are 125 very thin branches.
5 branches x 5 smaller branches = 25 smaller branches25 smaller branches x 5 very thin branches = 125 very thin branches125 very thin branches in your final answer!I need help ASAP!
Please help me!!
1. The X axis is the line going left and right
2. The Y axis is the line going up and down
3. The origin is the point where the X and Y axis meet; (0,0); by the 0
4. The points will be written as A, B, C. This is going from left to right. So the first box on the coordinate plane furthest to the left with be labeled with A. Then the second box furthest from the left; the middle box; will be labeled with B. Then the last box will be labeled C
5. (4,6)
6. (2,9)
7. (0,4)
8. When Allie identified the point, she mixed the X and Y coordinates. To identify a point you first want to find the point following the X axis. Then do the same with the Y axis. After doing this you should have 2 numbers, in which are 3 and 7. Now when writing the coordinates, the X axis ALWAYS comes first. So it should look like (7,3)
Is (5,-4) a solution?
(I’ll mark you the brainliest!)
Answer:oh it is - 5 I had this in my questions for homework
Step-by-step explanation:you have to multiply and subtract and do that many times
can someone help i dont know any of these formulas
s.a=C.A xH
v of n.o.2 =lxwxh
Step-by-step explanation:
v of no.3=πr2h and s.a=πdh
no.1=area of cross section x area of all faces and v=area of cross section x length
try those ones
A rocket is launched from a tower. The height of the rocket, y in feet, is
related to the time after launch, x in seconds, by the given equation.
Using this equation, find out the time at which the rocket will reach its
max, to the nearest 100th of a second.
y = 16x^2+ 238x + 81
Answer: 7.44
Step-by-step explanation: DeltaMath
weight of sheep,in pounds, at the Southdown sheep farm:
what is the range of weights of the sheep?
plz anwser asap I'm being timed
Answer: 170
Step-by-step explanation:
275-105
Please also include an explanation, I'd appreciate it :-)
Answer:
[tex]30ft[/tex]
Step-by-step explanation:
So, since the scale is 1:5, 1 ft is actually 5 feet.
[tex]6ft=6[/tex]×[tex]5. 6x5=30[/tex]
PLEASE EMERGENCY HELP DONT LINK FILES!!!!
The floor of a storage unit in the shape
of a rectangular prism has an area of 106 1/4 square feet. The height of the storage unit is 7 1/2 feet. What is the volume of the storage unit?
A. 742 1/8ft B. 744 1/4 ft C. 795 1/4 ft D. 796 7/8 ft
Answer:
V = 796 7/8 ft^3
Step-by-step explanation:
The storage unit has a rectangular shape.
Thus, the volume is V = (area of floor)(height)
V = (106 1/4 ft^2)(7 1/2 ft)
V = 796 7/8 ft^3
Converting 106 1/4 ft to 106.25 makes it easier to use a calculator here. Same with 7 1/2 ft: 7.5 ft
Find the value of x.
5x
130
O A. 10
O B. 36
O c. 26
O D. 18
A store owner wants to know how many of her 600 regular customers prefer canned vegetables. Each of her three cashiers randomly surveys 20 regular customers. The table shows the results.
Answer:
Sample A Estimate: 330
Sample B Estimate: 420
Sample C Estimate: 360
Median: 360
Range: 90
Step-by-step explanation:
For the sample estimate, multiply 600 by 11/20, 7/10, and 3/5 in order.
600 * 11/20
6600/20
330 people for Estimate A.
600 * 7/10
420/10
420 people for Estimate B.
600 * 3/5
1800/5
360 people for Estimate C.
330, 360, 420
360 is the median of these estimates.
420 - 330 = 90
90 is the range of these estimates.
7. Find the value of x.
Answer:
7
Step-by-step explanation: