Step-by-step explanation:
???????? what is easy??
Solving just for X. Please help and thank you:)
What is the measure of angle c?
Answer:
29.
Step-by-step explanation:
We know that all functions of any angle must add up to be 180 degrees. using this knowledge we take 54 and subtract it by 180.
That leaves us with 126.
We can safely assume the measurement of angle B, using the angle measured as 97.
This is due to the law of corresponding angles.
97 and angle B; correspond, so they must measure the same.
our sum of 126 subtracted by angle B (97) leaves us with the sum of 29.
The cost of tickets of a comedy show of 'Gaijatra' is Rs 700 for an adult and Rs 500 for a child. If a family paid Rs 3,100 for 5 tickets, how many tickets were purchased in each category?
Answer:
Step-by-step explanation:
We need to create a system of equations here, one for the NUMBER of tickets sold and one for the COST of the tickets. They are very much NOT the same thing.
We have that the total number of tickets is 5, and that that total is made up of adult tickets and child tickets. The equation for the NUMBER of tickets, then, is:
a + c = 5
Now for the money.
If a child ticket costs Rc 500, the expression that represents that that is in fact the cost of the child ticket is 500c;
likewise for the adult ticket. If the adult ticket costs Rc 700, the expression that represents that is 700a.
And we know that a total of Rs 1300 was spent on the tickets. The equation for the COST is
700a + 500c = 1300
Now go back to the first equation and solve it for either a or c, it doesn't matter which. I solved for a:
a = 5 - c and we will sub that into the second equation for a:
700(5 - c) + 500c = 1300 and
3500 - 700c + 500c = 1300 and
-200c = -400 so
c = 2 tickets. That means that there were
a = 3 tickets sold for the adults.
Simplify the expressions by combining like terms.
30) 4x + 3-x =
Step-by-step explanation:
the answer is -1. I have a picture, take a lot at it
Answer: 3x+3
Step-by-step explanation:
4x+3-x
= (4x-x) + 3
= 3x+3
The picture attached
Answer:
Step-by-step explanation:
m1 = 300
m2= 300(1+.05) = 300(1.05)
m3 = 300(1.05)(1.05)
m4= 300(1.05)(1.05)(1.05)
each subsequent month is the previous month times "1 + .05"
the "one" preserving the running total, and the extra ".05" adding the 5%
the repeating (1.05)(1.05)(1.05) is notational simplified using exponents
(1.05)(1.05)(1.05) = [tex](1.05)^{3}[/tex]
if a person invests $290 at 6% percent annual interest, find the approximate value of the investment at the end of 15 years
$695.00 would be your answer :)
Identify a positive coterminal angle for the angle shown below. You must answer in radians.
What is the quotient when the polynomial 4x2 - 2x - 12 is divided by 2x - 4?
A regular polygon has exterior angles of 60°
What is the sum of the polygon’s interior angles?
Answer:
720°
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Divide by 60 to find number of sides (n)
n = 360° ÷ 60° = 6
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
The sum of the exterior angles of a regular polygon is 360º
Each exterior angle of a regular polygon is 60º/n
360º/n=60º
360/60=n
6=n
A polygon with 6 sides is a hexagon.
Use the formula (n-2)×180
(6-2)*180=4*180=720º
another solution...
you have 6 interior angles (hexagon)
if an exterior angle is 60º, the corresponding interior angle is 180-60=120º
you have 6 of these 120º angles
6*120=720º
(1,-2),(-2,-5) find the slope and show me how u got it please
Answer:
where m= slope m= -7/3
Step-by-step explanation:
Help if you know thanks
x= - 1/2,-1
or
x= - 0.5, -1
Answer:
x = -1/2 x=-1
Step-by-step explanation:
2x( x+1.5) = -1
Distribute
2x^2 + 3x = -1
Add 1 to each side
2x^2 +3x+1 = 0
Factor
(2x+1) (x+1) =0
Using the zero product property
2x+1 = 0 x+1=0
2x = -1 x=-1
x = -1/2 x=-1
Compare the functions shown below:
Which function has the greatest maximum y-value?
Answer:Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)
Step-by-step explanation:
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
f(x) = 4/x
g(x) = 4/x
Answer:
Hello,
Step-by-step explanation:
[tex]f(x)=\dfrac{4}{x} \\\\g(x)=\dfrac{4}{x} \\\\\\(gof)(x)=f(g(x))=f(\dfrac{4}{x} )=\dfrac{4}{\dfrac{4}{x} } =\dfrac{4*x}{4} =x\\\\\\(fog)(x)=g(f(x))=g(\dfrac{4}{x} )=\dfrac{4}{\dfrac{4}{x} } =\dfrac{4*x}{4} =x\\[/tex]
which algebraic expression represents this word description the quotient of six and the sum of a number and eight
PLEASE HELP ASAP! NO SCAMS ALLOWED!
Answer:
Step-by-step explanation:
I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:
[tex]V=\pi\int\limits^a_b {[R(x)]^2-[r(x)]^2} \, dx[/tex]
where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:
[tex]V=\pi\int\limits^5_3 {3^2}-0^2 \, dx[/tex] and
[tex]V-\pi\int\limits^5_3 {9} \, dx[/tex] and integrating:
[tex]V=\pi(9x\left \} {{5} \atop 3}} \right.[/tex] and using the First Fundamental Theorem of Calculus:
V = π(9(5) - 9(3)) and
V = π(45 - 27) so
V = 18π units cubed or in decimal format,
V = 56.549 units cubed
Could someone please help me out?
Answer:
4.5
Step-by-step explanation:
let,
k×9²=300
k = 300/81
or, k = 100/27
as two triangles are similar,
if smaller triangle's corresponding side is x (let), then,
kx²=75
100x²/27=75
x²=75×27/100
x=√81/4
x=9/2
x=4.5
The circumference of a circle is 257 cm. What is the area,
in
square
centimeters
Answer:
[tex]2\pi \times r = c[/tex]
[tex]\pi \times {r}^{2} = a[/tex]
A=5257.76
Step-by-step explanation:
Or use a calculator online.
how many letters in the english alphabet preeced the letter v?
Answer:
21 letters
Step-by-step explanation:
A, B, C, D, E, F, G, H, I, J, K, L, M, NO, P, Q, R, S, T, U
What is the answer to 1-x=16-4x and how did u get it?
Answer:
x=5
Step-by-step explanation:
1 - x = 16 - 4x
Rearrange :
-x +4x = 16 - 1
3x = 15
x = 5.
Hence, there is one solution : {5}
Answer:
x=5
Step-by-step explanation:
1-x=16-4x
-1 -1
-x=15-4x
+4x. +4x
3x=15
/3. /3
x=5
Find the number of terms, n, in the arithmetic series whose first term is 13, the common difference is 7, and the sum is 2613.
A26
B27
C23
D32
Answer:
A
Step-by-step explanation:
Recall that the sum of an arithmetic series is given by:
[tex]\displaystyle S = \frac{n}{2}\left(a + x_n\right)[/tex]
Where n is the number of terms, a is the first term, and x_n is the last term.
We know that the initial term a is 13, the common difference is 7, and the total sum is 2613. Since we want to find the number of terms, we want to find n.
First, find the last term. Recall that the direct formula for an arithmetic sequence is given by:
[tex]x_n=a+d(n-1)[/tex]
Since the initial term is 13 and the common difference is 7:
[tex]x_n=13+7(n-1)[/tex]
Substitute:
[tex]\displaystyle S = \frac{n}{2}\left(a + (13+7(n-1)\right)[/tex]
We are given that the initial term is 13 and the sum is 2613. Substitute:
[tex]\displaystyle (2613)=\frac{n}{2}((13)+(13+7(n-1)))[/tex]
Solve for n. Multiply both sides by two and combine like terms:
[tex]5226 = n(26+7(n-1))[/tex]
Distribute:
[tex]5226 = n (26+7n-7)[/tex]
Simplify:
[tex]5226 = 7n^2+19n[/tex]
Isolate the equation:
[tex]7n^2+19n-5226=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 7, b = 19, and c = -5226. Substitute:
[tex]\displaystyle x =\frac{-(19)\pm\sqrt{(19)^2-4(7)(-5226)}}{2(7)}[/tex]
Evaluate:
[tex]\displaystyle x = \frac{-19\pm\sqrt{146689}}{14} = \frac{-19\pm 383}{14}[/tex]
Evaluate for each case:
[tex]\displaystyle x _ 1 = \frac{-19+383}{14} = 26\text{ or } x _ 2 = \frac{-19-383}{14}=-\frac{201}{7}[/tex]
We can ignore the second solution since it is negative and non-natural.
Therefore, there are 26 terms in the arithmetic series.
Our answer is A.
2x^2-4x+8 when factored is
Answer:
[tex]2(x^{2} -2x+4)[/tex]
Step-by-step explanation:
[tex]2x^{2} -4x+8[/tex]
= [tex]2x^{2} -2*2x+2*4[/tex]
= [tex]2(x^{2} -2x+4)[/tex]
5w = 23 - 3f and 4f = 12 - 2w
Answer:
f = 1, w = 4
Step-by-step explanation:
Given the 2 equations
5w = 23 - 3f → (1)
4f = 12 - 2w (add 2w to both sides )
2w + 4f = 12 ( subtract 4f from both sides )
2w = 12 - 4f → (2)
Multiplying (1) by 4 and (2) by - 3 and adding the result will eliminate f
20w = 92 - 12f → (3)
- 6w = - 36 + 12f → (4)
Add (3) and (4) term by term to eliminate f
14w = 56 ( divide both sides by 14 )
w = 4
Substitute w = 4 into either of the 2 equations and solve for f
Substituting into (1)
5(4) = 23 - 3f
20 = 23 - 3f ( subtract 23 from both sides )
- 3 = 3f ( divide both sides by - 3 )
1 = f
Answer:
Step-by-step explanation:
pllllllzzzzzzzzzz helllllllllllllppppppppppppp
Answer:
145 degrees
Step-by-step explanation:
sum of a triangle is 180 and when the angle next to 145 degree one is supplementary to 145 degree the other two angles must be 145
please help me i really need it
Answer:
That is not a integer number because integer numbers are always whole, where as -5.5 is a decimal
That is a rational number because it repeats forever, or repeats at some point
calculate the amount of rupees 31250 at the end of 2½ years, compounded annually at 8% per annum.
helphelphelphelphelphelphelp
Answer:
P = 1,-10
Q=1,-1
R=7,-1
S=7,-10
The cost of carpenting a room at Rs 90/m^2 is Rs 7200. If the length had been 5m less the cost would have been Rs 3600. Fimd the length and breadth of the room.
Answer:
Width: 8; Length: 10
Step-by-step explanation:
Every square meter in the room is worth 90, and the room is worth 7200 total. Given this information, if we divide the total, 7200, by the value per square meter, 90, we get that there are 80 square meters in this room. We also know that the value of the second room, 3600, is half of the first room. And if subtracting 5 from the first room's length halves the value, then we know that the subtraction halved the length.
Since we now know that the Length = 10, we have a much simpler equation of 10W = 80, 10 being the length, W being the width, and 80 being the total square meters, and after a quick simplification, we have W = 8.
Paul invests ₦4800 for 5 years at 3% per annum simple interest. Calculate the amount Paul has after 5 years.
Answer:
bạn cực ngu
Step-by-step explanation:
bạn cực kì ngu
convert 17.25base base two to base 2
Answer:
could you explain your question better please
A car travels 32 km due north and then 46 km in a direction 40° west of north. Find the direction of the car's resultant vector. [?] Round to the nearest hundredth.
Answer:
Step-by-step explanation:
This requires some serious work before we even begin. First off, we will convert the km to meters:
32 km = .032 m
46 km = .046 m
And then we have to deal with the angle given as 40 degrees west of north. An angle 40 degrees west of north "starts" at the north end of the compass and moves towards the west (towards the left in a counterclockwise manner) 40 degrees. That means that the angle that is made with the negative x axis is a 50 degree angle. BUT the way angles are measured in standard form are from the positive x-axis, therefore:
40 degrees west of north = 50 degrees with the negative x axis = 130 degrees with the positive x axis. 130 is the angle measure we use. Phew! Now we're ready to start. Adding vectors requires us to use the x and y components of vectors in order to add them.
[tex]A_x=.032cos90.0[/tex] so
[tex]A_x=0[/tex] (the 90 degrees comes from "due north")
[tex]B_x=.046cos130[/tex] so
[tex]B_x=-.030[/tex] and if we add those to get the x component of the resultant vector, C:
[tex]C_x=-.030[/tex] And onto the y components:
[tex]A_y=.032sin90.0[/tex] so
[tex]A_y=.032[/tex]
[tex]B_y=.046sin130[/tex] so
[tex]B_y=.035[/tex] and if we add those together to get the y component of the resultant vector, C:
[tex]C_y=.067[/tex] Note that since [tex]C_x[/tex] is negative and [tex]C_y[/tex] is positive, the resultant angle (the direction) will put us into QII.
We find the magnitude of C:
[tex]C_{mag}=\sqrt{(-.030)^2+(.067)^2}[/tex]
We will round this after we take the square root to the thousandths place.
[tex]C_{mag}=.073m[/tex] and now for the angle:
[tex]\theta=tan^{-1}(\frac{.067}{-.030})[/tex] which gives us an angle measure of -67, but since we are in QII, we add 180 to that to get that, in sum:
The magnitude of the resultant vector is .073 m at 113°
