Answer: 0.75 hours which is the same as 45 minutes
===========================================================
Explanation:
d = distancer = rate, which is another term for speedt = timeWe're told that the plane flies 375 miles and the speed is 500 miles per hour (mph).
This must mean that d = 375 and r = 500. Let's find t
d = r*t
d/r = t .... divide both sides by r
t = d/r
t = 375/500
t = 0.75
It takes 0.75 hours, which is the same as 45 minutes because
0.75*60 = 45
If the plane flew 500 miles and its speed was 500 mph, then it would take 1 hour, so it makes sense that the plane's time was under an hour if it only traveled 375 miles.
You have two regular polygons
A & B
. The ratio of the interior angles of
A & B
is
21: 22
. The ratio of the exterior angles is
3:2
. How many sides does each polygon have?
Answer:
First polygon has 16 sides
Second polygon has 24 sides
Step-by-step explanation:
Let the number of sides for first polygon be a and that for the second polygon be b
formula for sum of interior angle is;
180n-360
So for individual interior angle we have;
(180n-360)/n
So for polygon A
(180a-360)/a
For polygon B
(180b-360)/b
Let’s divide both to equate to the ratio
(180a-360/a)/(180b-360)/b) = 21/22
Factor out 180
(a-2)/a * b/b-2 = 21/22
b(a-2)/a(b-2) = 21/22
22b(a-2) = 21a(b-2) •••••• (i)
For the second part
Sum of exterior angle of any polygon is 360
Individual exterior angle is 360/n
for the first polygon;
360/a ;
For the second 360/b
Thus;
b/a = 3/2
2b = 3a ••••••••(ii)
b = 3a/2
11(2b)(a-2) = 21a(b-2)
11(3a)(a-2) = 21a( 3a/2-2)
33a(a-2) = 21a(3a-4)/2
22a(a-2) = 7a(3a-4)
22a^2 - 44a= 21a^2-28a
22a^2-21a^2+28a - 44a = 0
a^2 + 28a - 44a = 0
a^2 -16a = 0
a(a-16) = 0
a = 0 (which cannot be)
or a-16 = 0
a = 16
Recall;
b = 3a/2
b = 3(16)/2
b = 24
Simplify 3^8 x 3^4 divided by 3^2 x 3^8 in index form
Subtract.
(9x + 7) - (x+3) = ?
Answer:
8x+4
Step-by-step explanation:
(9x+7)-(x+3) first - multiply both x and 3 so it will be :
9x+7-x-3 and then collect like terms
9x-x+7-3
8x+4
If it's helpful ❤❤❤
THANK YOU
PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASE
Answer and Step-by-step explanation:(MAKE ME BRAINLIEST)
PLZ HELP ASAP!!!Solve the inequality -20+6x>10
Answer:
x>5
Step-by-step explanation:
I need help with this question
Answer:
So we have an original figure with a value of 50 and then a scaled version or dilation
Hence we have a scale factor of
[tex] \frac{1}{5} [/tex]
PLS HELP!!!!! Use the given parallelogram to find the length of side AB
Answer:
x+3=2x-6
2x-x=3+6
x=9
AB=9
Can anybody help me on this i don't get it
Answer:
the correct answer is A . because the in the division problem 2.53 is divided by 23 so in fraction form it will be like 2.53/23!!
Step-by-step explanation:
Write an equation for the line shown on the graph.
y =3/2 x - 2
y = 2/3x + 1
y = 2/3x - 2
y =3/2 x + 1
Answer: y = 2/3x +1 (the second option)
Step-by-step explanation:
Equation: y = mx + bm (slope) = 2/3 --> rise over runb (y intercept) = 1The required equation will be y = -0.5x + 27.5 which is shown on the given graph.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
According to the given graph,
We can see two points are (-3, -1) and (3, 3)
The linear equation will be: y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Here
x₁ = -3, y₁ = -1
x₂ = 3, y₂ = 3
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]
Substitute values in the equation, we get
⇒ y - (-1) = (3 - (-1))/(3-(-3))(x-(-3))
⇒ y + 1 = (4)/(6)(x + 3)
⇒ y + 1 = 2/3(x + 3)
⇒ y = (2/3)x + 2 + 1
⇒ y = (2/3)x + 3
⇒ 3y = 2x + 9
Thus, the required equation will be 3y = 2x + 9.
Learn more about the Linear equations here:
brainly.com/question/13738061
#SPJ2
Pls help i dont understand i really need help
Answer:
I need to know the question before I can help?
Step-by-step explanation:
PLZ HELP ME
saeszxdrctfvgybhunjimkoploihuy7gt5rdesxrdfghbinug 6frbed46c5rtf
Answer:
Sorry just trying to get pts
Step-by-step explanation:
PLEASE HELP!!!I NEED IT
Answer:
10. y = 49, x = 15
11. y = 4, x = 61
Multiplying binomials using area model.
Answer:
4x²+35x+24
Step-by-step explanation:
FOIL the binomials and simplify
4x^2 + 35x + 24
That's all I know.
How many terms are in the expression 4x + 9? *
I need 5x - 6y = 30 super bad including The Slope and the Y-Intercept, please I need this super fastttt!
Answer:
the slope will be 5/6 and the y- intercept is going to be (0,-5)
Step-by-step explanation:
use the slope-intercept form y=mx+b to find the slope (M) and the y-intercept (b)
Lehana and Marty each opened a savings account with a deposit of $100.
● Lehana earned 2.5% simple interest per year.
● Marty earned 2% simple interest per year.
● Neither of them made additional deposits or withdrawals.
How much more did Lehana receive in interest than Marty after three years?
Answer:
100*.025*3=7.5 100+7.5=107.5
100*.02*3=6 100+6=106
107.5-106=1.5
$1.50
Step-by-step explanation:
thats it
how can you find the solution of a system of linear equations by graphing
Answer:
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
Answer:
Use desmos if you can but usually just look at where the lines intersect. there can be more than one point
Step-by-step explanation:
Ту
5
How many points need to be removed from this graph
so that it will be a function?
4
3
2
1
1 point
O 2 points
O 3 points
O 4 points
2 3 4 5
х
54 -3 -2 -11
-24
-3
.
-4
.
Answer:
We need to remove 3 points from 3 duplicated pairs so this graph so that it will be a function.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From the graph, we can determine the table such as:
x y
-3 2
-3 3
1 4
1 -4
2 -2
2 -4
It is clear that the values of x = -3, x = 1, and x = 2 are repeated twice.
In other words, there are 3 duplicated pairs.
We know that we can not have duplicated inputs as there should be only 1 output for each input.
Thus, we need to remove 3 points from 3 duplicated pairs so this graph so that it will be a function.
What is the angle for a and b
A 30 ft ladder leans against the side of a house. If the base of the ladder sits 10 ft away from the base of the house, what is the ladder's angle of elevation?
Answer:
70.5°
Step-by-step explanation:
To solve for the ladder's angle of elevation, we solve using the Trigonometric function of Cosine
= cos θ = Adjacent/Hypotenuse
Where
Adjacent = Distance of the base from the house = 10ft
Hypotenuse = Length of the ladder = 30 ft
cos θ = 10/30
cos θ = 1/3
θ = arc cos 1/3
θ = 70.528779366
Approximately = 70.5°
Therefore, the ladder's angle of elevation is 70.5°
HELP!!!
Solve for the value of x
-3x - 8 = -20
A. 4
B. 28/3
C. -28/3
D.-4|
Answer:
A. 4, X = 4
Step-by-step explanation:
-3x - 8 = -20
Move the constant to the right-hand side and change its sign
-3x = -20 + 8
Calculate the sum
-3x + -12
Divide both sides of the equation by -3
x = 4
Solution
x = 4
the answer are 1/2 1/3 1/8 1/24
Answer:
1/24
Step-by-step explanation:
The first spinner has 6 letters. The letter A is 1 of those letters. So, the probability of the pointer landing on A is 1/6.
The second spinner has 8 numbers. The numbers 3 and 6 are 2 out of those 8 numbers. So, the probability of the pointer landing on 3 or 6 is 2/8 or 1/4.
Now multiple the two probabilities together.
1/6 × 1/4 = 1/24
Hope that helps.
Decrease £280 by 15%
Answer:
238
Step-by-step explanation:
280 times 0.85 = 238
I NEED THE ANSWERS QUICK!!! PLEASE TELL ME ILL GIVE BRAINLIEST!!!!!!!!!!!!
Answer:
(3,-8) (2,-10)
Step-by-step explanation:
Graph and see where the points are, if they are in the solution, they are correct.
Please mark me brainlist and solve the question I just asked.
Have a good day :)
Work out the area of a rectangle with base, b=38mm and perimate, P = 78mm
Answer:
741 mm squared
Step-by-step explanation:
area=base times height
perimeter= 78/4=
1 side=19.5mm
base=
38mm times 19.5=741mm squared
i hope i helped<3
2. Solve the equation for x.
14 - x = 5x - 4
Answer:
x=3
Step-by-step explanation:
14-x=5x-4
Add the x from the left side to the right
14=6x-4
and the 4 to the left side
16=6x
6x=18
x=3
Answer:
x = 3
Step-by-step explanation:
If we substitute x for 3 it will give u the following expression:
14 - 3 = 5 x 3 - 4
If we solve both these expressions they will both give us: 11
This will prove the equation correct
A rectangular piece of wood measuring 360 CM by 280 cm is cut into small identical squares of largest possible length. Find
a the length of each square.
b the total no. of wooden pieces
Please helpp really would appreciate
I'm not sure if it's correct..........
HELP ME PLEASE IM DESPERATE
Answer:
the answer is below
Step-by-step explanation:
accidently made b to x
Quickkk please solve each system by graphing I just need the work not the graph
y = 3x + 2
6x - 2y = -4
Answer:
Infinite amount of solutions
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect is the solution set to the systems of equations.
If the 2 lines are parallel, they have no solution.
If the 2 lines are the same, they have infinite amount of solutions.
Step-by-step explanation:
y=3x+2
when x=0
y=3(0)+2
y=2
(0,2)
when y=0
3x+2=0
3x=-2
x=+2/3
(-2/3,0)
6x-2y=-4
when x=0
6(0)-2y=-4
-2y=-4
y=2
(0,2)
when y=0
6x-2(0)=-4
6x=-4
x=-4/6
x=-2/3
(-2/3,0)
same line
Helga invested $1000 at 5% interest, compounded annually. What is the total amount of interest that Helga will have earned by the end of the fourth year? Express your answer to the nearest dollar.
Answer:
1215
Step-by-step explanation:
1000(1+5divided 1000)^4 = 1215.5
nearest dollar is 1216