Answer:
a). x = 135°
b). y = 45°
c). z = 67.5°
Step-by-step explanation:
Since sum of interior angles of a regular polygon is represented by,
Sum of interior angles = (n - 2) × 180°
Here n = number of sides
For a regular octagon, n = 8
Sum of interior angles = (8 - 2) × 180° = 1080°
And measure of one interior angles = [tex]\frac{\text{Sum of interior angles}}{n}[/tex]
x = [tex]\frac{1080}{8}[/tex]
x = 135°
From the figure attached,
Angle C has been divided in 6 equal parts,
Therefor, m∠ECD = [tex]\frac{135}{6}[/tex] = 22.5°
Since ∠ECD ≅ ∠CED,
m∠CED = 22.5°
Since m∠E = 135°
m∠FEC = 135 - 22.5 = 112.5°
In ΔFEC,
m∠FEC + m∠ECF + m∠CFE = 180°
112.5 + 22.5 + z = 180
z = 180 - 135
z = 45°
Similarly, in ΔCGF,
m∠CGF + m∠CFG + m∠GCF = 180°
(135 - y)° + (135 - z)° + 22.5° = 180°
270 - (y + z) + 22.5 = 180
292.5 - (y + 45) = 180
247.5 - y = 180
y = 247.5 - 180
y = 67.5°
Solve for x 5 x + 2 = 7 x − 4 plz help me
Answer:
3
Step-by-step explanation:
5 x + 2 = 7 x − 4
7x-5x= 2+4
2x= 6
x= 3
Answer:
The value of x in this equation is 3.
Step-by-step explanation:
5x + 2 = 7x - 4
Subtract 7x from both sides of the equation.
-2x + 2 = -4
Subtract 2 from both sides of the equation.
-2x = -6
Divide by -2 on both sides of the equation.
x = 3
A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists.
A)g + a = 24. g + 2 a = 42.
B)g + a = 24. 2 g + a = 42.
C)g + a = 42. g + 2 a = 24.
D)g + a = 42. 2 g + a = 24.
Answer:
B
Step-by-step explanation:
The soccer player has g goals and a assists.
For every goal, he/she gets 2 points and for every assist, he/she earns 1 point. This means that if we multiply g by 2, we get the number of points the player receives from g goals and if we multiply a by 1, we get the number of points the player receives from a assists.
And, that total number of points is equal to 42, so we can write:
2 * g + 1 * a = 42
2g + a = 42
Now, we understand that g and a are the number of goals and assists the player has made, and we also know that the total number of such kicks is 24, so we can write:
g + a = 24
Thus, our system is:
g + a = 24
2g + a = 42
The answer is B.
~ an aesthetics lover
Answer:
The correct answer is B. g + a = 24. 2 g + a = 42
A,B and C are three points lying in that order on a straight line. A body is projected from B towards A with speed 3m/s. The body experiences an acceleration of 1m/s² towards C. If BC=20m, find the time taken to reach C and the distance travelled by the body from the moment of projection until it reaches C.
Answer:
The total time taken to reach C = 10 s
The total distance traveled by the body = 29 m
Step-by-step explanation:
Whereby the points are vertically oriented, we have;
v = u + at
Where;
a = Acceleration of the body = -1 m/s²
u = Initial velocity = 3 m/s
v = Final velocity, = 0 m/s at maximum height
t = Time taken
0 = 3 + (-1)× t
t = 3 s
The maximum height S is given as follows;
S = u·t + 1/2·a·t² = 3×3 + 1/2×(-1)×3² = 4.5 m
Therefore, the total distance, [tex]S_t[/tex], from maximum height to C = 45 + 20 = 24.5 m
The total time is given from the total distance as follows;
[tex]S_t[/tex] = u[tex]_m[/tex]·t[tex]_t[/tex] + 1/2·a[tex]_d[/tex]·t[tex]_t[/tex]²
Where;
u[tex]_m[/tex] = Initial velocity from the maximum height = 0 m/s
a[tex]_d[/tex] = Downward acceleration = Opposite sign to upward acceleration = 1 m/s²
24.5 = 0·t[tex]_t[/tex] + 1/2·(1)·t[tex]_t[/tex]²
49 = t[tex]_t[/tex]²
t[tex]_t[/tex] = √ 49 = 7 s
The total time taken to reach C = Initial time to reach maximum height + Time from maximum height = 3 s + 7 s = 10 s
The total time taken to reach C = 10 s
The total distance traveled by the body = Distance from B to maximum height + Distance from maximum height to C
The total distance traveled by the body = 4.5 m + 24.5 = 29 m.
The total distance traveled by the body = 29 m.
El entrenamiento de basquet se una situación de una institución educativa debe elegir a uno de los dos deportistas que están en la banca para que ingrese al campo en un partido decisivo durante los juegos deportivos escolares nacionales. Pará tomar la decisión, consulta una tabla con la puntuación de cada uno de ellos en los partidos anteriores. Los puntos anotados por cada deportista de los cinco últimos partidos figuran en la siguiente tabla
Answer:
los pala de depotistas ingrese banca para tomar la decision
Step-by-step explanation:
Can some one help me
Answer:
Step-by-step explanation:
divide 4 and 2 then add 2 and 1
Answer:
y = - 4x + 17
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (2, 9)
m = [tex]\frac{9-1}{2-4}[/tex] = [tex]\frac{8}{-2}[/tex] = - 4, thus
y = - 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 1) , then
1 = - 16 + c ⇒ c = 1 + 16 = 17
y = - 4x + 17 ← equation of line
What is the rate of increase in water pressure in atm/km
Answer:
Rate of increase in water pressure is 992
Step-by-step explanation:
A chef cooked 7 kg of mashed potatoes for a banquet. If the guests only ate 34of the amount he cooked, how much of the potatoes were eaten?
Answer:
2.38 Kg were eaten
Step-by-step explanation:
first we should divide 34 by 100
the result will be 0.34
then we multiply 0.34 x 7 Kg = 2.38 Kg
HELP
Find the volume of the sphere in terms of Pi
Answer:
Hey there!
The volume of a sphere is 4/3pir^3
If d=5, then r=2.5,
Thus, we have 4/3(15.625)pi
20.83pi
The first choice is correct.
Hope this helps :)
Answer: num 1
Step-by-step explanation:
4/3*pi*r^3
4/3*pi*15.625
20.83*pi
hope i halped
can i get brainliest?(im trying to level up)
pls
-Zylynn
How long will it take an airplane to travel 1,250 km if it is traveling at 150 km/hr ?
Answer:
[tex]\boxed{Time = 8.33 hrs}[/tex]
Step-by-step explanation:
Given:
Distance = S = 1250 km
Speed = v = 150 km/hr
Required:
Time = t = ? hrs
Formula:
Speed = Distance / Time
Solution:
Rearranging the formula
=> Time = Distance / Speed
=> Time = 1250/150
=> Time = 8.33 hrs
What is the missing value in this table of equivalent ratios?
Answer:
A
Step-by-step explanation:
follow the pattern in its timetables,hope this helps u!
What has to be broken before you use it?
Answer:
An egg has to be broken before you use it
I am a quadrilateral with 2 pairs of equal sides.
I also have 2 pairs of parallel sides. I have no lines of
symmetry.
What am I?
Answer:
Parallelogram
Pls Mark As Brainliest
02.27.49
Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three
options.
rectangular prism
VX
triangular prism
cylinder
cone
square pyramid
triangular pyramid
Next
Submit
Mark this and return
Answer:
Rectangular prism, triangular prism, cylinder
Step-by-step explanation:
has base in the form of rectangle,so when cut perpendicular to base,the base as well as other faces, will be in the shape of Rectangle. Same for the triangular prism and cylinder.
PLEASE ANSWER ASPA Using the distance formula, what is the distance of C (-4, -2) and D (3, 5)?
Answer:
Approximately 9.90 units.
Step-by-step explanation:
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (-4,-2) be x1 and y1, and (3,5) be x2 and y2.
Plug in the numbers:
[tex]d=\sqrt{(3-(-4))^2+(5-(-2))^2}[/tex]
[tex]d=\sqrt{7^2+7^2}[/tex]
[tex]d=\sqrt{2(7)^2}[/tex]
[tex]d=7\sqrt{2}[/tex]
PLS HELP 85 POINTS PLEASE PLEASE PLEASE!!! A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images. Sample 1: 4 Sample 2: 1 Sample 3: 9 How do the sample statistics compare to the population mean and standard deviation?
Answer:
0.3007 or 30.07%
Step-by-step explanation:n = 6sample proportion: signified by ρSample 1: 4 → 4/6 = 0.67Sample 2: 1 → 1/6 = 0.17Sample 3: 9 → 9/6 = 1.50
multiply the sample proportion by 1-ρSample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75
divide the result by n. n = 6Sample 1: 0.2211/6 = 0.03685Sample 2: 0.1411/6 = 0.02352Sample 3: -0.75/6 = -0.125
square root of the quotient to get the standard error.Sample 1: √0.03685 = 0.1919Sample 2: √0.02352 = 0.1534Sample 3: √-0.125 = invalid
z value 95% confidence 1.96.
Given:
250 sheep in a 40-acre pasture.
250/40 = 6.25 or 6 sheep per acre
n = 6
Sample 1: 4 → 4/6 = 0.67
Sample 2: 1 → 1/6 = 0.17
Sample 3: 9 → 9/6 = 1.50
Sample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211
Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411
Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75
Sample 1: 0.2211/6 = 0.03685
Sample 2: 0.1411/6 = 0.02352
Sample 3: -0.75/6 = -0.125
Sample 1: √0.03685 = 0.1919
Sample 2: √0.02352 = 0.1534
Sample 3: √-0.125 = invalid
z value 95% confidence 1.96.
Sample 1: 1.96 * 0.1919 = 0.3761 or 37.61% margin of error
Sample 2: 1.96 * 0.1534 = 0.3007 or 30.07% margin of error
please mark me brainliest!
simplify the expression (x - 2y) + (3x + 4y)
Simplifying the expression (x - 2y) + (3x + 4y).
Work:
(x - 2y) + (3x + 4y)
Combine like terms.
x + 3x = 4x
-2y + 4y = 2y
Reform the expression.
4x + 2y
Simplified Expression: 4x + 2y.
Water is being pumped into a reservoir tank. The total amount of water (w) after an amount of time (t) is given by the equation w =100+55t . If the total amount of water that will fit in the tank is 540 gallons, how much time will it take to fill the tank
Answer:
it will take 8 minutes
Step-by-step explanation:
Here, we want to
calculate the amount of time taken to fill the tank given the total amount of water in the tank.
Mathematically, the formula go
use is ;
w= 100 + 55t
540 = 100 + 55t
55t = 540-100
55t = 440
t = 440/55
t = 8
Please help me I will give BRAINLIST and a like :))))
Answer:
18.75%
Step-by-step explanation:
Hello,
3 students are both female and senior
the total number of students is 7+10+8+5=30
so the probability to select one female senior is 3/30=1/10=0.10
probability to select one female is 16/30=16/30
probability that the student is a senior given that it's female is
=P(female and senior)/P(female)
=1/10*30/16=3/16
hope this helps
Answer:
19%
Step-by-step explanation:
Find the number of female students
3+4+6+3 = 16
P( senior given that it is female = senior/ female
= 3/16
=.1875
18.75%
To the nearest whole percent 19%
Angle BDC measures 42°. What is the measure of angle BAC
Answer:
42°
Step-by-step explanation:
These traingles are refelctions, A≅D B≅C
Miguel babysits for 3 hours and earn 15 which represents the unit rate?
Answer:
15
Step-by-step explanation:
Answer:
Miguel babysits for 3 hours and earns $15. Which represents the unit rate?
Option D
(D) $5 per hour
Step-by-step explanation:
$5.00 Per Hour Represents unit rate, 15 / 3 = 5
a person stands on top of a 200 ft building and spots a person on the ground below. the angle of depression from where the person is standing on top of building to the person on the ground is 39°. How far away are the two people from each other?
Answer:
246.979 ft
Step-by-step explanation:
When we draw our picture, we should be able to see that the angle of depression from the point of view is equal to the angle of elevation from the ground. We also know the height, and we are trying to find horizontal x. We must use tan∅ to solve:
tan39° = 200/x
xtan39° = 200
x = 200/tan39°
x = 246.979
someone help with question number 3 asap
Answer:
Please check the attached file.
Hope this helps!
:)
Answer:
the side opposite to right angle is hypotenuse ,AB is side opposite to thita nd BC is the side adjacent to thita.
math is not my strong suite so maybe someone can help me out?? If sin y° = 7 divided by q and tan y° = 7 divided by r, what is the value of cos y°? (6 points) cos y°= r divided by q cos y° = 7r cos y° = 7q cos y°= q divided by r
Answer:
A. cos y°= r/q
Step-by-step explanation:
Problem: If sin y = 7/q and tan y = 7/r, what is the value of cos y?
A. cos y°= r/q B. cos y° = 7r C. cos y° = 7q D. cos y°= q/r
Answer:
sin y = opp/hyp = 7/q
tan y = opp/adj = 7/r
opp = 7; hyp = q; adj = r
cos y = adj/hyp = r/q
Answer: A. cos y°= r/q
Answer:
cos y = r/q
Step-by-step explanation:
Hey! took the test got it right decided to put it here have a good day!
I NEED HELP PLEASE, THANKS! :)
Answer: tan(14x)
Step-by-step explanation:
Consider the Sum Formula for tan:
[tex]tan(A + B)=\dfrac{tan(A)+tan(B)}{1-tan(A)(tan(B)}\\\\\\tan(9x+5x)=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}\\\\\\\large\boxed{tan(14x)}=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}[/tex]
Answer:
[tex]\tan(4x)[/tex]
Step-by-Step Explanation:
Notice that this resembles the difference identity for tangent. Specifically:
[tex]\displaystyle \tan(\alpha-\beta)=\frac{\tan(\alpha)-\tan(\beta)}{1+\tan(\alpha)\tan(\beta)}[/tex]
So, given our equation, we can pretend that α=9x and β=5x. Therefore:
[tex]\displaystyle \frac{\tan(9x)-\tan(5x)}{1+\tan(9x)\tan(5x)}=\tan(9x-5x)=\tan(4x)[/tex]
how do you calculate a length of a triangle
Answer:
Perimeter-width=Length
Hope this helps :)
Answer:
Area- A= b (base) times h (height) divided by 2
Perimeter- P= a+b+c
Step-by-step explanation:
Which table represents a linear function
Answer:
The first photo
Step-by-step explanation:
Its a i think
Classify the following triangle. Check all that apply.
Answer:
Isosceles, obtuse triangle
Step-by-step explanation:
The triangle is isosceles since there are equal acute-angles which therefore prove two equal sides.
The triangle is obtuse because it consists of one obtuse angle which is 98 and is greater than 90 degrees.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Anyone I need help at this dont type other things. Pls now I need the solution anyone.
Answer:
see explanation
Step-by-step explanation:
(a)
Since there are 360° in the complete pie chart the 40° represents
360° ÷ 40° = 9 parts of the chart
Since 40° represents 7 cars then there are a total of
9 × 7 = 63 cars in the car park
(b)
The circumference (C) of a circle is calculated as
C = πd ( d is the diameter )
Given C = 28 , then
πd = 28 ( divide both sides by π )
d = [tex]\frac{28}{\pi }[/tex]
Help me please 20 points!!!
Answer:
Step-by-step explanation:
7- 4!= 4*3*2*1=24
8- 10C3 = 10!/(3!*(10!-3!) = 120
9- 7 P3 =7!/(7-3)! = 210
A map has a scale of 1 cm to 3.2 km. The real-life distance between two towns is 64 km. What is the distance between the two towns on the map?
Answer:
20 cm
Step-by-step explanation:
64/3.2 km = 20cm