Answer:
x = 120°
Step-by-step explanation:
The equation is given to you:
The sum of the interior angles can be found using the equation:
Sum = (n - 2)180
Note that:
n = # of sides.
Plug in 6 for n in the equation.
∑ = (6 - 2)180
First, solve for the parenthesis:
∑ = (4)180
Next, multiply:
∑ = 4 * 180
∑ = 720
You are solving for one angle. Note that there are 6 angles. Divide the sum of the angles with 6:
720/6 = 120
120° is your answer.
~
Answer:
the answer is 120 degrees
If a vendor sells an item he bought for Rs. 500 such that he earns a profit of 20%, determine the selling price of the item.
PLEASE HELP ME!! I WILL MARK BRAINLIEST, PLEASE ANSWER ALL 4 QUESTIONS BELOW ABOUT THE MATHEMATICAL EQUATION!
y = 595(1.075)x
1. What is the starting amount?
2. What is the growth factor?
3. What is the growth rate?
4. How many factors are in the equation?
Step-by-step explanation:
The starting amount is the coefficient of the exponent which is 595.
The growth factor is 1.075 and the growth rate would be 7.5%.
There are 2 factors in the equation.
a bus travels at a speed of 80km per hour . what is the distance it travels by 15 mins.
Answer:
The bus will travel 20km within 15 minutes
Step-by-step explanation:
Answer: 20 km
Step-by-step explanation:
Distance = speed / time
CAN SOMEONE HELP OVER HERE LOL PLEASE HELPPPPP Solve the inequality. -3/4y less than 9. The solution set is ?
Answer: y<-12
Step-by-step explanation:
[tex]-\frac{3}{4}y>9[/tex] is our einequality we are given. To solve, we want to get x alone. We would have to multiply both sides by -4/3.
[tex]y>-12[/tex]
You may thing this is the answer, but it is very close. When you multiply or divide by a negative number, you flip the sign. Therefore, the answer is [tex]y<-12[/tex].
A ship is sailing due west …
Plz answer !!
Answer:
8.75° south of west
26.3 mph
Step-by-step explanation:
Let's say that east is +x and north is +y.
The sailor's horizontal velocity is -26 mph. The vertical velocity is -4 mph. So the velocity vector is in the 3rd quadrant. The direction is:
θ = tan⁻¹(-4 / -26)
θ = 188.75°, or 8.75° south of west.
The magnitude of the speed is:
v = √((-4)² + (-26)²)
v = 26.3 mph
someone plz help meee
Answer:
The second one
Step-by-step explanation:
Find the length of AB
Give your answer to 1 decimal place
Answer: 6.452cm.
As 1 decimal place it would be 6.5cm.
Answer:
6.9 cm
Step-by-step explanation:
a^2 + b^2 =C^2
a^2 + b^2 = 8^2
6.9^2 +4^2 =64
47.61 + 16 = 64
47.61 about 48
What is the solution to the equation 7(a – 10) = 13 – 2(2a + 3)?
a = StartFraction 26 Over 11 EndFraction
a = 7
a = StartFraction 89 Over 11 EndFraction
a = 621
Answer:
a=7
Step-by-step explanation:
7(a – 10) = 13 – 2(2a + 3)
Open the bracket
7a-70=13-4a-6
Collect like terms
7a+4a=13-6+70
11a=77
divide both sides by 11
11a/11=77/11
a=77/11
a=7
A pair of equations is shown below: y = 6x − 4 y = 5x − 3 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)
Answer:
see below
Step-by-step explanation:
A Since both equations are in slope intercept form, we can plot the y intercept for each equation and the use the slope to draw lines. The see where the lines intersect.
y = 6x − 4 slope is 6 , y intercept is (0,-4)
y = 5x − 3 slope is 5 y intercept is (0,-3)
They intersect at (1,2)
Answer:
Part A: solve by graphing the 2 equations and finding the places they intersect, those points will be the solutions. The slope for the first equation is 6 and the slope of the second equation is 5.
Part B: The solution is x=1, or (1, 2)
Step-by-step explanation:
Part A: The solution of a pair of equations can be found graphically by graphing them and finding the intersection point, because that is when they are equal.
To find the slope, it is the coefficient of the x in the equation, so 6 and 5.
Part B: Set the equations equal to each other
(6x-4)=(5x-3)
x-4= -3
x=1
Given:
AC – AR
<1 = <2
Prove:
<3 =<4
Answer:
ΔCTA ≅ ΔDRA
Step-by-step explanation:
Triangles CTA and DRA are congruent by ASA postulate. This is because:
∠1 ≅ ∠2 (given)AC ≅ AR (given)∠A is the same for both triangles (they are opposite angles)Then, correspondent angles and sides are congruent, for example, ∠3 ≅ ∠4
A girl is on a train that is headed East at 100 miles per hour. The girl is walking at 5 miles per hour
toward the back of the train.
1.
What is the speed and direction of the train if the girls is the frame of reference?
Answer: The speed is 105 miles/ hr and the direction of the train would be East if the girl is the frame of reference.
Step-by-step explanation:
Since we have given that
Speed of train = 100 miles per hour
Speed of girl = 5 miles per hour
Since the girl is moving towards the back of train.
So,it means train and girl are moving in opposite direction.
So, Relative speed would be
[tex]100+5=105\ miles/hr[/tex]
Hence, the speed is 105 miles/ hr and the direction of the train would be East if the girl is the frame of reference.
Which is the point-slope form of an equation for the line that passes through (0, –5) with slope 2?
Question 7 options:
a)
y = 2(x + 5)
b)
y = 2x – 5
c)
y – 5 = x – 2
d)
y + 5 = 2x
Answer:
y+5 = 2x
Step-by-step explanation:
The point slope form of an equation is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - -5 = 2(x-0)
y+5 = 2x
What are the coordinates of the center of the hyperbola with equation (x-2)^2/4^2-(y+3)^2/5^2=1
Answer: (6, -3)
(x^2-4x+4)/16-(y^2+6y+9)/25 = 1
x = 6
y = -3
6^2 = 36
4 * 6 = 24
36 - 24 = 12
12 + 4 = 16
16/16 = 1
-3^2 = 9
6 * -3 = -18
9 - 18 = -9
-9 + 9 = 0
0/25 = 0
1 - 0 = 1
I really hope this helped, at least a little bit.
The coordinates of the center of the hyperbola is (6,-3).
What is hyperbola?
Hyperbola is a type of "smooth curve, lying in the plane defined by its geometric properties or by the equation for which it is in solution set".
According to the question,
[tex]\frac{(x-2)^2}{4^2}[/tex] - [tex]\frac{(y+3)^2}{5^2}[/tex] = 1
Standard form of hyperbola = [tex]\frac{(x-k)^2}{a^2}[/tex] - [tex]\frac{(y-h)^2}{b^2}[/tex] = 1.
The expression 'y' is positive leading coefficient so the hyperbola so the hyperbola is open upward and downward . Comparing with standard equation we get center of hyperbola (2,-3) and 'a' point the hyperbola is 4 and the 'b' point of hyperbola is 5 and mark point 5 unit right as well as left on x-axis and 4 unit up and down on y-axis.
From above discussion we get clearly the coordinate of hyperbola is
(6-3).
Learn more about hyperbola here
https://brainly.com/question/10336462
#SPJ2
Which of the following relations is a function? A.{(0,2),(1,2),(2,2),(3,2)} B.{(2,0),(2,1),(2,2),(2,3)} C.{(3,5) ,(4,7),(5,9),(5,11)} D. {(4,5),(6,7),(8,9),(8,11)}
Answer:
the answer is A
Step-by-step explanation:
The space shuttle is accelerated off its launch pad to a velocity of 525 m/s in 18.0 seconds.
What is its average acceleration?
Answer:
29.17m/s²Step-by-step explanation:
Acceleration is defined as the change in velocity of a body with respect to time.
Acceleration = velocity/time
Given velocity of the space shuttle = 525m/s and time = 18.0seconds
Its average acceleration = 525/18
Its average acceleration (in m/s²) = 29.17m/s²
Which point best approximates √3?
A
B
C
D
Answer:
B
Step-by-step explanation:
Square root of 3 is between 1 and 2
1^2 =1
(sqrt(3)) ^2 =3
2^2 = 4
So it must be point B
Answer:
B
Step-by-step explanation:
What are the domain and the range of this function?
D : _ _ x: _ _
R: _ _ Y: _ _
for a test
d: -5_<x<1
r: -4_<y<7
D: negative five is less than or equal to x is less than one
R: negative four is less than or equal to y is less than seven
HELP PLEASE I NEED HELPPPP
What is the sign of....
a x (-b/b)
when a =0 and b<0
A. positive
B. negative
C. zero
THIS IS ON KHAN ACADEMY AND I DONT GET IT IF U ANSWER ILL GIVE YOU BRANLIEST AND 100 points PLEASE JUST HELP MEH
Answer:
C. zero
Step-by-step explanation:
a * (-b/b)
-b/b = -1
a* -1
If a = 0 then
0 * -1 = 0
Answer:
0
Step-by-step explanation:
pls give brainliest
Please I need help with this tooo.....will give 5 start and brainlist....
simplify this problem
Answer:
-22 1/2
Step-by-step explanation:
-2 1/2 *s
Let s = 9
-2 1/2 (9)
Change to an improper fraction
-5/2 *9
-45/2
Change back to a mixed number
-22 1/2
Solve for y: 4y + 4 = -8
Answer: YOUR ANSWER IS -3
Step-by-step explanation:
4y + 4 = -8
-4 -4
___________
4y = -12
Divide -12 by 4
Y = -3
I NEED HELP QUICK! PLEASE
Answer:
(a, 0), (0, b), (-a, 0), (0, - b)
Step-by-step explanation:
Since, all vertices of the rhombus lie in the x and y axes.
x - axis is given by a and y - axis is given by b.
Therefore, coordinates of vertices lying on x - axes will be (a, 0) & (-a, 0) and coordinates of vertices lying on y - axes will be (0, b) & (0, - b).
Find the value of x. If necessary, round to the nearest tenth
Answer:
8
Step-by-step explanation:
→ Use trigonometry to find x, we have no hypotenuse so we utilise the TOA formula
TOA = Tan = Opposite ÷ Adjacent
→ The opposite of the triangle is 8√3 and we want to find the adjacent of this triangle so we rearrange
Opposite ÷ Tan
→ Substitute in the values
8√3 ÷ tan(60) = 8
You drive 1650 miles at 50 mph; how long will it take?
Answer:
33 hours
Step-by-step explanation:
Take the distance and divide by the rate to get the time
1650/50 = the number of hours
33 hours
Answer:
33 hours
Step-by-step explanation:
mph stands for miles per hour
So, 1650/50=33, which finds how long in hours
So, if your speeds stays constant it should take 33 hours
Solve |x|=5
A{-5}
B{5}
C{-5,5}
Answer:
[tex]x=-5\quad \mathrm{or}\quad \:x=5[/tex]
C is your answer
Step-by-step explanation:
[tex]\left|x\right|=5\\\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\x=-5\quad \mathrm{or}\quad \:x=5[/tex]
Is this true or false ?
Short answer yes its true
Which ordered pair is the solution to the system of equations? {x+2y=−8y=12x−2
Answer:
[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]
Step-by-step explanation:
[tex]x+2y=-8 \\\\y=12x-2[/tex]
Substitute:
[tex]x+2(12x-2)=-8[/tex]
Expand:
[tex]x+24x-4=-8[/tex]
Simplify:
[tex]25x=-4[/tex]
Divide both sides by 25:
[tex]x=-\dfrac{4}{25}[/tex]
Plug this back into one of the original equations to find y:
[tex]-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}[/tex]
The ordered pair that represents this solution is therefore:
[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]
Hope this helps!
у – бх — 11
— 2x — Зу = -7
Answer: -2y -8x = 4
Step-by-step explanation:
y - 6x - 11 - 2x - 3y = -7
y -3y -6x -2x = -7 +11
-2y -8x = 4
HELP ASAP!!!! There is a clip below.
Answer:
0.064 cubic feet
Step-by-step explanation:
The volume of a rectangular prism is the width multiplied by the height multiplied by the length. In this case, all of those dimensions are 2/5, meaning that the volume is:
[tex]\dfrac{2}{5}\times\dfrac{2}{5}\times\dfrac{2}{5}=\dfrac{8}{125}=0.064[/tex]
Hope this helps!
Phone’s Plus charges a connection fee of 35 cents and 3 cents per minute. Fabulous Phones charges a connection fee of 45 cents and 2 cents per minute. Which equation could be used to determine the number of minutes, x, when a phone call would cost the same at both companies?
0.35+0.3x=0.45+0.2x
0.35+0.03x=0.45+0.02x
35+0.03x=45+0.2x
35+0.03x=45+0.02x