Answers
Answer:
x = 5.2
Step-by-step explanation:
Measure of interior angle of a regular polygon = [tex]\frac{(n-2)\times180}{n}[/tex]
Here n = number of sides of the polygon
Interior angle of a regular pentagon = [tex]\frac{(5-2)\times180}{5}[/tex]
= 108°
By applying cosine rule in ΔABK,
(BK)² = (AK)² + (AB)² - 2(AK)(AB)cos(108)°
(x + 3)² = 4² + 6² - 2(4)(6)cos(108)°
x² + 6x + 9 = 16 + 36 - (-14.83)
x² + 6x = 57.83
x² + 6x - 57.83 = 0
x = [tex]\frac{-6\pm \sqrt{6^2-4(1)(-57.83)}}{2(1)}[/tex]
x = [tex]\frac{-6\pm16.35}{2}[/tex]
x ≈ -11.2, 5.2
Since, x can't be negative,
x = 5.2 will be the answer.
Related Questions
Please look at picture
Answers
Answer:
This question is so bad but it is most likely 25% or 0. this has no context in the question
Step-by-step explanation:
Check all of the ordered pairs that satisfy the equation below.
A.
(21, )
B.
(7, 14)
C.
(21, 14)
D.
(42, 28)
E.
(14, 21)
F.
(28, 42)
Answers
Answer:
what is the y-coordinate for A?
Step-by-step explanation:
Brainliest to CORRECT answer!
Which of the following is not an example of kinetic energy?
Group of answer choices
chemical energy
sound energy
radiant energy
electrical energy
Answers
Answer:
A
Step-by-step explanation:
triangles abc, dbe, and fbg are all symmetric about the y-axis. what are the coordinates of the centroid?
please help
Answers
Answer:
The coordinates of the centroid are (0, 5)
Step-by-step explanation:
The coordinates of the centroid of a triangle whose vertices (x1, y1), (x2, y2), and (x3, y3) are ([tex]\frac{x1+x2+x3}{3}[/tex] , [tex]\frac{y1+y2+y3}{3}[/tex])
In Δ ABC
∵ A = (-20, 0), B = (0, 15), C = (20, 0)
∴ x1 = -20, x2 = 0, x3 = 20
∴ y1 = 0, y2 = 15, y3 = 0
∴ The centroid = ([tex]\frac{-20+0+20}{3}[/tex] , [tex]\frac{0+15+0}{3}[/tex]) = ([tex]\frac{0}{3}[/tex] , [tex]\frac{15}{3}[/tex]) = (0, 5)
∴ The coordinates of the centroid of Δ ABC are (0, 5)
In Δ DBE
∵ D = (-15, 0), B = (0, 15), E = (15, 0)
∴ x1 = -15, x2 = 0, x3 = 15
∴ y1 = 0, y2 = 15, y3 = 0
∴ The centroid = ([tex]\frac{-15+0+15}{3}[/tex] , [tex]\frac{0+15+0}{3}[/tex]) = ([tex]\frac{0}{3}[/tex] , [tex]\frac{15}{3}[/tex]) = (0, 5)
∴ The coordinates of the centroid of Δ DBE are (0, 5)
In Δ FBG
∵ F = (-5, 0), B = (0, 15), G = (5, 0)
∴ x1 = -5, x2 = 0, x3 = 5
∴ y1 = 0, y2 = 15, y3 = 0
∴ The centroid = ([tex]\frac{-5+0+5}{3}[/tex] , [tex]\frac{0+15+0}{3}[/tex]) = ([tex]\frac{0}{3}[/tex] , [tex]\frac{15}{3}[/tex]) = (0, 5)
∴ The coordinates of the centroid of Δ FBG are (0, 5)
∵ The three triangles are symmetric about the y-axis
→ That means they have the same centroid and it lies on the y-axis
∴ The coordinates of the centroid are (0, 5)
DE bisects BC. If BC = 5x-3 and CE= 2x+25 find the value of x
Answers
Answer:
x = 53
Step-by-step explanation:
The entire line is BC, the line DE bisects the line BC, meaning it cut the line in half. So CE is half of BC, so the equation for CE has to be multiplied by 2. Therefore:
5x - 3 = (2x + 25)2
multiply
5x - 3 = 4x + 50
ad 3 to both sides
5x = 4x + 53
subtract 4x from both sides
x = 53
Input into the equation to check:
5x - 3 = (2x + 25)2
5(53) - 3 = (2(53) + 25)2
265 - 3 = (106 + 25)2
262 = (131)2
262 = 262, it's correct :)
Answer:
Step-by-step explanation:
The equation for line passing through (6, 3) and (4, 1) could be written in slope-intercept form as 
Answers
Answer:
[tex]\boxed {\boxed {\sf E. \ y=x-3}}[/tex]
Step-by-step explanation:
To find the equation of the line, we must first find the slope, then use the point-slope formula.
1. Find the Slope
The slope formula is the change in y over the change in x, or:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are the points the line passes through.
The points given in the problem are (6,3) and (4,1). Therefore:
[tex]x_1=6 \\y_1=3 \\x_2=4 \\y_2=1[/tex]
Substitute the values into the formula.
[tex]m=\frac{1-3}{4-6}[/tex]
Solve the numerator.
1-3= -2[tex]m=\frac{-2}{4-6}[/tex]
Solve the denominator.
4-6=-2[tex]m=\frac{-2}{-2}[/tex]
Divide.
[tex]m=1[/tex]
2. Find the Equation of the Line
We have the slope and a point, so we can use the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
We know the slope is 1 and we can pick either point to use for (x₁, y₁). Let's use (4,1).
[tex]y-1=1(x-4)[/tex]
Distribute the 1.
[tex]y-1=(1*x)+(1*-4)\\y-1=x-4[/tex]
We want to find the equation in y=mx+b, so we must isolate the variable on one side of the equation.
1 is being subtracted from y and the inverse of subtraction is addition. Add 1 to both sides of the equation.
[tex]y-1+1=x-4+1\\y=x-4+1\\y=x-3[/tex]
In slope-intercept form, the equation of the line is y=x-3
In the figure at the right AB || XY, and m<1 = 120. Tell weather each statement is true or false with #8, 9, 10, 11, 12, 13, 14, 15, 16, and 17
Answers
Answer:
False
Step-by-step explanation:because it is.
Determine the zeros of the function f(x) = (x - 2)(x + 2)(x+1)^2
Answers
X=2
X=-2
X=-1
Answer:
x=2, x=-2, and x=-1
Step-by-step explanation:
Function: f(x)=(x-2)(x+2)(x+1)²
We can solve each one of the zeros by making the expressions (the ones in the parentheseis) equal zero.
So we have three equations:
1.(x-2)=0
2.(x+2)=0
3.(x+1)²=0
Solve.
1.x-2=0
x=2
2. x+2=0
x=-2
3. (x+1)²=(x+1)(x+1)=0
(x+1)=0
x=-1
(x+1)=0
x=-1
Since those two were the same we can just say x=-1 once.
Here are the three zeros:
x=2, x=-2, and x=-1
hope this helps!
C.
a
C.
If you save 1 paisa the today, 2 paisa the next
day, 4 paisa the succeeding day and so on. The
total savings in two weeks will be in Rs.
b. 183
c. 162.83
d. 164.85
22. The
a. 163
no
Answers
Answer:
Step-by-step explanation:
[tex]2^{14}[/tex] paisa =16,384 paisa
2. It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm
from a metal sheet. How many square metres of the sheet are required for the same
Answers
Answer:
It's required [tex]7.48\ m^2[/tex] of sheet for the tank
Step-by-step explanation:
Surface Area of a Cylinder
Given a right cylinder of base radius r and height h, the surface area is calculated as follows:
[tex]S=2\pi r^2+2\pi r h[/tex]
The cylindrical tank has a height of h=1 m and a base diameter of 140 cm. The radius is half the diameter, thus r=140/2 = 70 cm = 0.7 m. Substituting:
[tex]S=2\pi 0.7^2+2\pi (0.7)(1)[/tex]
[tex]S=2\pi 0.49+1.4\pi[/tex]
[tex]S=2.38\pi[/tex]
[tex]\boxed{S=7.48\ m^2}[/tex]
It's required [tex]7.48\ m^2[/tex] of sheet for the tank
What is the slope of the line that passes through the points (-1, 4) and (2,6)? Use the slope
formula to find the slope.
Answers
Answer:
I THINK SLOPE 3
Step-by-step explanation: MY GUT TELLS ME SO...
Task Radioactive isotopes decay by emitting radiation. A scientist just received a sample of two different radioactive isotopes, tellurium-131 and neptunium-240. This equation can be used to determine 70), the number of grams of tellurium-131 that will remain in the sample after minutes. T() = 1000. 25 A. How many grams of tellurium-131 were in the sample the moment the scientist received it? Provide evidence to support your answer. B. How many grams of tellurium-131 will remain in the sample after one hour? Provide evidence to support your answer.
Answers
Answer:
Following are the solution to this question:
Step-by-step explanation:
[tex]\to tellurium-131\\\\ \to T(t) =1000 \times e^{\frac{\log(2)}{25}t}[/tex]
where t = in miles
In part A:
When scientists got t=0, therefore the tellurium quantity.
[tex]\to T(t) = 1000 \times e^{0}[/tex]
[tex]= 1000 \times 1 \\\\= 1000 \ grams[/tex]
In part B:
When 1 hours = 60 min
[tex]T(t) = 1000 \times e^{\frac{\log 2}{25} \times 60} \\\\[/tex]
[tex]= 1000 \times e^{\frac{\log 2}{5} \times 12}\\\\= 1000 \times e^{0.72247199}\\\\\= 1000 \times 2.05951803\\\\=2059.51803\\\\=2059.51 \ grams[/tex]
Task Radioactive isotopes decay by emitting radiation is that :
A) The tellurium-131 were in the sample the moment the scientist received are 1000 grams.
B)The grams of tellurium-131 will remain in the sample after one hour is 2059.51.
Given :
Tellurium-131T(t)=100*[tex]e^{log2/25} t[/tex]where t = in milesPart A:
When scientists got t=0,
t=1000*[tex]e^{o}[/tex]
t=1000*1
t=1000 grams
The tellurium-131 were in the sample the moment the scientist received are 1000 grams.
Part B:
The grams of tellurium-131 will remain in the sample after one hour is :
T(t)=1000*[tex]e^{log2/25} t[/tex]T(t)=1000*[tex]e^{0.7224}[/tex]T(t)=1000*2.059T(t)= 2059.51The grams of tellurium-131 will remain in the sample after one hour is 2059.51.
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Find the sum of -1.5 +3.5 + 2
Answers
Answer:
4, see below :)
Step-by-step explanation:
We can rewrite the equation into:
3.5 + 2 - 1.5
First we add 3.5 and 2
3 and 2 are in the ones place so:
5, and then you added the .5
5.5
Then:
5.5 - 1.5
First we subtract the tenths place so:
.5 - .5 = 0
Then the ones:
5 - 1 = 4
Answer:
4 all i did was, i used a calculator
Which graph shows a proportional relationship between the number of hours of renting a jet ski and the total amount spent to rent the jet ski? (5 points)
a
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 48 and 8, 56. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
b
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 56 and 8, 56. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
c
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 18 and 6, 18 and 8, 18. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
d
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 54 and 8, 72. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.
Answers
Answer:
A
Step-by-step explanation:
Please determine x.
Answers
Answer:
6
Step-by-step explanation:
This is the second part of that question. What's the answer to this
Answers
Answer:
x = -22
Step-by-step explanation:
The given expression is :
-0.57x+0.27x = 6.6
We need to find the value of x.
x(-0.57+0.27) = 6.6
x(-0.3) = 6.6
[tex]x=\dfrac{6.6}{-0.3}\\\\x=-22[/tex]
So, the value of x is -22.
What is the surface area of the right cone below?
Answers
Answer:
B. 68pi
Step-by-step explanation:
to find the surface area of a right cone given radius and slant height:
let A = surface area
let r = radius
let l = slant height.
A=pi*r*l + pi* r^2
plug in the values
A=pi*52+pi*16= about 213.62
The surface area of the cone is 68π sq. units.
What is surface area?The surface area of a figure is the number of unit squares it takes to cover the entire surface without gaps or overlaps. If a three-dimensional figure has flat sides, the sides are called faces. The surface area is the total of the areas of the faces.
Given that, the slant height and the radius of a cone is 13 units and 4 units respectively,
We need to find the surface area of the cone,
SA = π×r×l + π×r²
SA = π(4×13+16)
SA = 68π
Hence, the surface area of the cone is 68π sq. units.
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Which linear equations have one solution? Check all that apply.
O 5x–1=3(r + 11)
O 4(r-2) + 4x = 8(x– 9)
O 4(r- 6) + 4 = 2(r-3)
O 2(r- 4) = 5(r- 3) + 3
O 2(- 1) + 3x = 5(r- 2) + 3
Answers
Select all the points that are on the graph of the line:
2x + 4y=20
Answers
Answer:
B=10
Step-by-step explanation:
worked it out on a graph on the internet
need the answer please thank you!
Answers
Answer:c
Step-by-step explanation:
C
Step-by-step-explanation
C
pls answer asap no trolls!
Answers
Sandra walks 13 miles in 3 hours. At what unit rate does sandra walk
Answers
Answer:
4.25 mph i think
Step-by-step explanation:
4x 3 =12
1/4 x 4 = 1
12 + 1 = 13
Sadie went shopping over the weekend and found a sweater that she liked that was regularly 3
$33. She used her 20% off coupon to save her some money. How much money will Sadie save
on the sweater? *
Answers
It takes Paresh 4 hours to bike 26 miles. He plans to bike 7 hours tomorrow. If he bikes at the same rate, how far will Paresh bike in 7 hours?
Answers
Answer:
7x26
Step-by-step explanation:
If he goes at this rate for 7 hours that would be 6.5x7= 45.5
HELO ASAP ILL GIVE BRAINLIST
Answers
Answer:
Option C is correct
Step-by-step explanation:
Plz help answer my question my lattes question plz
Answer:
C
Step-by-step explanation:
A satellite flies 55584 miles in
7.72 hours. How many miles has it flown in 23.19 hours?
Answers
Answer:
Miles flown in 23.19 hours = 166968 miles
Step-by-step explanation:
Given that:
A satellite flies 55584 miles in 7.72 hours
We will find the unit rate first,
Unit rate = [tex]\frac{55584}{7.72}[/tex]
Unit rate = 7200 miles per hour
Miles flown in 23.19 hours,
Miles flown = 7200 * 23.19
Miles flown = 166968 miles
Hence,
Miles flown in 23.19 hours = 166968 miles
Select the correct answer from each drop down menu. City
A -10
City B -1
City C -20
City D -2
The city whose temperature is closest to 0C is _____ and the city whose temperature is farthest from 0C is ______
Answers
Answer:
b.c
Step-by-step explanation:
Factor: 4y(3x+2)−2(3x+2)
Answers
Step-by-step explanation:
4y(3x+2)–2(3x+2)
(4y–2)(3x+2)
2(2y–1)(3x+2)
The Factor of given equation [tex]4y(3x+2)-2(3x+2)[/tex] is [tex](2y-1) (6x+4)[/tex] .
What is Factor ?Factor in an equation is something which is multiplied by something else or we can say that numbers or the variables that are multiplied together.
We have,
[tex]4y(3x+2)-2(3x+2)[/tex]
So, first simplify the expression,
[tex]12xy+8y -6x-4[/tex]
⇒ [tex]12xy-6x+8y-4[/tex]
⇒ [tex]6x(2y-1)+4(2y-1)[/tex]
From we can see that [tex](2y-1)[/tex] is common in both terms,
Therefore,
⇒ [tex](2y-1) (6x+4)[/tex]
So, [tex](2y-1) (6x+4)[/tex] is the factor of the given expression.
Hence, we can say that the Factor of given equation [tex]4y(3x+2)-2(3x+2)[/tex] is [tex](2y-1) (6x+4)[/tex] .
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How do I solve -7x+9=51
Answers
-7x+9=51
-7x=42
X=-6
Given the formula, y = 3x + 4, enter the value of y in the text box below where the value of x is 2.
X
y = 3x + 4
(x, y)
0
Answers
Answer:
3x+4=3*2+4
3*2+4=6+4
6+4=10
10=10