Answer:
A 5 sided figure
Step-by-step explanation:
To find the sum of interior angles we use the formula
S = (n - 2) *180
540 = 180n - 360
180n = 540 + 360
180n = 900
n = 900/180
n = 5
The number of sides of a polygon with the given sum of interior angles is 5.
Option A)5-sided figure is the correct answer.
What is a polygon?A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.
The formula for calculating the sum of interior angles of a polygon is;
S = ( n − 2 ) × 180°
Where S is the sum and n is the number of sides.
Given that the sum of the interior angles equal to 540°.
From the above expression;
S = ( n − 2 ) × 180°
540° = ( n − 2 ) × 180°
540° = 180°n − 360°
180°n = 540° + 360°
180°n = 900°
n = 900° / 180°
n = 5
The number of sides of a polygon with the given sum of interior angles is 5.
Option A)5-sided figure is the correct answer.
Learn more about polygons here: brainly.com/question/22408868
#SPJ2
Hi, Which option is correct??
Answer:
B
Step-by-step explanation:
option B is not similar.
the ratio of each side isn't same
Tom makes two deliveries of bricks.
The distance of one delivery is 20 miles more than the distance of the other delivery.
(b) Work out the difference between the two delivery costs.
An exponential function fx) is reflected across the y-axis to create functiong(x). Which is a true statement
regarding fa) and g(x)?
The two functions have no points in common
The two functions have the same initial value
The two function have opposite output values of each other for any given input value
The graph of the two functions would look exactly the same
Intro
Answer:
The two functions have the same initial value
PLEASE SOMEONE HELP ME ANSWER THIS !!!!
Write the equations of the linear and exponential functions that pass through the points (0, 15) and (1, 5)
Linear Equation, y = mx+b
Exponential Equation, y = a(b)^x
PLEASE ANSWER IT I HAVE AN IMAGE ATTACHED IF NEEDED !!!!
Step-by-step explanation:
Part A: Linear Equation.
One of the points is (0,15). This means 0,15 is the y intercept so b=15.We can find the slope
[tex] \frac{5 - 15}{1 - 0 } = \frac{ - 10}{1} = - 10[/tex]
So our equation is
[tex]y = - 10x + 15[/tex]
Part B: Exponential Equation
We know that
[tex]15 = a \times b {}^{0} [/tex]
B to the zero power is 1 so
[tex]15 = a[/tex]
This means a =15. Now let find b.
[tex]5 = 15 \times b {}^{1} [/tex]
[tex] \frac{1}{3} = b[/tex]
So the equation is
[tex]y = 15( \frac{1}{3} ) {}^{x} [/tex]
Solve, using the substitution method.
y = 3x + 5
4x – y = 5
10, 35)
(15, 10)
There are an infinite number of solutions.
There is no solution.
Answer:
the answer is (10,35)
Step-by-step explanation:
i took the quiz and im 100% sure
ty have a great day :)
Which expression is equivalent to 4 + 36x?
Answer:
A
Step-by-step explanation:
4(1)+4(9x)=4+36x
Julie assembles shelves for a department store and gets paid $3.25 per shelf. She can assemble 5 per hour and works 8 hours per day. Determine Julie’s gross pay for 1 week
Pay per shelf = $3.25
No of shelfs per hour = 5
Total hours per day = 8
Total days to find pay of = 7
= 3.25×5×8×7
= 910
Therefore she is paid $910 after 1 week.
Must click thanks and mark brainliest
Find the equation of the line that is parallel
to the line y = 3x + 9 and passes
through the point (2,1) Write the
equation in slope-intercept form.
Answer:
y = 3x - 5
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 )
y = 3x + 9 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, then
y = 3x + c ← is the partial equation
To find c substitute (2, 1) into the partial equation
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = 3x - 5 ← equation of parallel line
Find the area of the following composite figure. Assume angles that look like they are a right angle are
right angles.
14 in
14 in
Q
Leave your answer in terms of . For example your answer might to 98 + 107.
square inches
NOTE: Figures are NOT to scale.
Answer:
7π + 7π + 196 ( could also be 14π + 196)
Step-by-step explanation:
14 is the length of the square. However it is also the diameter of the circle.
If you do diameter x π you will get the circumfrance. Which in this case is 14π. If your trying to find half of the circumfrance you would do 14π ÷ 2 which is 7π.
After finding 7π for one half a circle you do the same for the other and also get 7π
After finding the 2 half circles find the square which is 14 x 14 = 196
196 + 7π + 7π if you don't want bother pi's there it could also be seen as 196+ 14 π
Let the lengths of each side of △ABC having area equal to 1 be as follows: AB = 2, BC = a and CA = b. Let CD be a perpendicular line from point C to AB. Answer the following questions.
(1) Given AD = x, write a²+(2√3-1)b² in the form of x.
(2) Find the value of x at which a²+(2√3 - 1)b² is the lowest and the magnitude of ∠BAC.
Need help! Please show your work too. Thanks!
Answer:
Part 1)
[tex]\displaystyle \left((2-x)^2 + 1)\right) + (2\sqrt{3} - 1 ) \left(x^2 + 1\right)[/tex]
Or simplified:
[tex]\displaystyle = 2\sqrt{3}x^2 - 4x + 4 + 2\sqrt{3}[/tex]
Part 2)
The value of x for which the given expression will be the lowest is:
[tex]\displaystyle x = \frac{\sqrt{3}}{3}\approx 0.5774[/tex]
And the magnitude of ∠BAC is 60°.
Step-by-step explanation:
We are given a ΔABC with an area of one. We are also given that AB = 2, BC = a, and CA = b. CD is a perpendicular line from C to AB.
Please refer to the diagram below.
Part 1)
Since we know that the area of the triangle is one:
[tex]\displaystyle \frac{1}{2} (2)(CD) = 1[/tex]
Simplify:
[tex]\displaystyle CD = 1[/tex]
From the Pythagorean Theorem:
[tex]\displaystyle x^2 + CD^2 = b^2[/tex]
Substitute:
[tex]x^2 + 1 = b^2[/tex]
BD will simply be (2 - x). From the Pythagorean Theorem:
[tex]\displaystyle (2-x)^2 + CD^2 = a^2[/tex]
Substitute:
[tex]\displaystyle (2-x)^2+ 1 = a^2[/tex]
We have the expression:
[tex]\displaystyle a^2 + (2\sqrt{3} - 1) b^2[/tex]
Substitute:
[tex]\displaystyle = \boxed{\left((2-x)^2 + 1)\right) + (2\sqrt{3} - 1 ) \left(x^2 + 1\right)}[/tex]
Part 2)
We can simplify the expression. Expand and distribute:
[tex]\displaystyle (4 - 4x + x^2 + 1)+ (2\sqrt{3} -1)x^2 + 2\sqrt{3} - 1[/tex]
Simplify:
[tex]\displaystyle = ((2\sqrt{3} -1 )x^2 + x^2) + (-4x) + (4+1-1+2\sqrt{3})[/tex]
Simplify:
[tex]\displaystyle = 2\sqrt{3}x^2 - 4x + 4 + 2\sqrt{3}[/tex]
Since this is a quadratic with a positive leading coefficient, it will have a minimum value. Recall that the minimum value of a quadratic always occur at its vertex. The vertex is given by the formulas:
[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = 2√3, b = -4, and c = (4 + 2√3).
Therefore, the x-coordinate of the vertex is:
[tex]\displaystyle x = -\frac{(-4)}{2(2\sqrt{3})} = \frac{1}{\sqrt{3}} =\boxed{ \frac{\sqrt{3}}{3}}[/tex]
Hence, the value of x at which our expression will be the lowest is at √3/3.
To find ∠BAC, we can use the tangent ratio. Recall that:
[tex]\displaystyle \tan \theta = \frac{\text{opposite}}{\text{adjacent}}[/tex]
Substitute:
[tex]\displaystyle \tan \angle BAC = \frac{CD}{x}[/tex]
Substitute:
[tex]\displaystyle \tan \angle BAC = \frac{1}{\dfrac{\sqrt{3}}{3}} = \sqrt{3}[/tex]
Therefore:
[tex]\displaystyle\boxed{ m\angle BAC = \arctan\sqrt{3} = 60^\circ}[/tex]
Someone plssss help me with this question!!
Answer:
There are 3 possible values for a.
Step-by-step explanation:
a/b=2/3
3a=2b
If b>5 and b<13
apply all possible values
b=6 -> 3a=12 ==> a=4 1st possibility
b=7 -> 3a=14 ==> a=4.something Not a possibility
b=8 -> 3a=16 ==> a=5.something Not a possibility
b=9 -> 3a=18 ==> a=6 2nd possibility
b=10 -> 3a=20 ==> a=6.something Not a possibility
b=11 -> 3a=22 ==> a=7.something Not a possibility
b=12 -> 3a=24 ==> a=8 3rd possibility
Solve for 2. Round to the nearest tenth of a degree, if necessary.
w
36
V
20
50
X
PLS HELP
Answer:
Step-by-step explanation:
This is classic right triangle trig. If you're solving for x, which you are, you have to consider how the given sides relate to that angle. The side with a length of 50 is opposite the angle x, while the side of length 36 is adjacent to angle x. The trig ratio that utilizes the sides opposite and adjacent is tangent; HOWEVER, we are looking for a missing angle. Finding missing angles on your calculator requires the 2nd button. To find the missing angle x, you are looking for the angle that has a tangent ratio of 50 over 36 (opposite over adjacent...Toa in SohCahToa). Hit the 2nd button on your calculator and then the tangent button (in degree mode, not radian mode) and you will see this on your screen:
[tex]tan^{-1}([/tex]
After the parenthesis, enter the fraction and then hit the enter button to get the angle measure in degrees:
[tex]tan^{-1}(\frac{50}{36})=54.2[/tex] degrees.
It's very important that you learn how to use your calculator to find the trig identities that give you the ratio in decimal form and how to find the missing angles. Missing angles always use the 2nd button along with whatever trig identity you are using.
Use the graph below to describe the linearization of the data. How would you expect the linearization to change if the data were to extend beyond age 20?
Answer:
It is expected that linearization beyond age 20 will be use a function whose slope is monotonously decreasing.
Step-by-step explanation:
The linearization of the data by first order polynomials may be reasonable for the set of values of age between ages from 5 to 15 years, but it is inadequate beyond, since the fourth point, located at [tex](x,y) = (20, 5.5)[/tex], in growing at a lower slope. It is expected that function will be monotonously decreasing and we need to use models alternative to first order polynomials as either second order polynomic models or exponential models.
Check the attached image
What is the slope-intercept equation for the line below?
Step-by-step explanation:
given that the coordinate is (0,1)(4,3)
x¹=0, y¹=1, x²=4 y²=3
M=> Gradient => (y²-y¹)/(x²-x¹)
M=(3-1)/(4-0) => 1/2
Therefore the slope-intercept equation
M=(y-y¹)/(x-x¹)
1/2 = (y-1)/(x-0)
x=2y-2
2y=-2-x
y=-x/2 - 1
Solve for x. PLEASE HELP ASAP!!!
A. 8
B.4
C. 10
D. 7
Answer:
[tex]6(6+4)=5(5+x)[/tex]
[tex]6(10)=5(5+x)[/tex]
[tex]60=5(5+x)[/tex]
[tex]12=5+x[/tex]
[tex]x=7[/tex]
~OAmalOHopeO
Write the following expression as a simplified polynomial in standard form.
(x-4)^2+3(x-4)+6
Answer:
x6−24x5+240x4−1280x3+3840x2−6144x+4102
Step-by-step explanation:
I don't know if this is right or not but there ig?
Which is the best estimate for the percent equivalent of StartFraction 7 Over 15 EndFraction? 21% 22% 46% 47%
Answer:
47%
Step-by-step explanation:
StartFraction 7 Over 15 EndFraction = 7/15
Equivalent Percentage
7/15 × 100
= 0.4666666666666 × 100
= 46.666666666666%
Approximate to the nearest whole percentage
= 47%
The answer is 47%
Answer:7
Step-by-step explanation:
The equations of four lines are given. Identify which lines are perpendicular.
Line 1: y=2
Line 2: y=15x−3
Line 3: x=−4
Line 4: y+1=−5(x+2)
Answer:
lines 1 and 3
Step-by-step explanation:
y = 2 is a horizontal line parallel to the x- axis
x = - 4 is a vertical line parallel to the y- axis
Then these 2 lines are perpendicular to each other
y = 15x - 3 ( in the form y = mx + c ) with m = 15
y + 1 = - 5(x + 2) ( in the form y - b = m(x - a) with m = - 5
For the lines to be perpendicular the product of their slopes = - 1
However
15 × - 5 = - 75 ≠ - 1
The 2 lines 1 and 3 are perpendicular
Match function with its corresponding graph
Answer:
Step-by-step explanation:
We can see that there are roots at (-2,0) and (-1,0)
also, the root at (-2,0) should bounce right off
and the root at (-1,0) should go through
With all that being said it has to be B
Javier works at a print shop. He starts printing at 8:00 a.m. The number of printed brochures is a linear function of the number of minutes since Javier started printing. By 8:50 a.m. he had printed 240 brochures, and by 9:00 a.m. he had printed 288. Write an equation in the form y = mx + b that represents the number of brochures, y, that were printed after x minutes.
Answer:
y = 4.8(x) + 0
Step-by-step explanation:
In this question, Javier managed to print 240 brochures in 50minutes from 8:00 to 8:50. If we divide these values we see that he printed 4.8 brochures per minute. The same result is given for the 10 minutes from 8:50 to 9:00 where he printed 48 brochures. Therefore, we can get the following linear formula from these values.
y = 4.8(x) + 0
In this case, b would equal 0 because Javier is starting from 0 brochures made when he gets to work at 8:00 a.m
ram can do a piece of work in 8 days. He work fir 6 days and left. If hari finish as the remaining work . how much work is done by hari?
Answer:
Hari finished the last two days of work that ram had left behind so that means that hari did 2 days of work.
A real estate agent receives a 3%
commission for selling a house. Find the
commission that the agent earned for
selling a house for $131,000.
you just have to divide the value by 100 and then multiply by 3 (the order doesn't matter tho) so,
131000/100 = 1310 x 3 = 3930
the commission is $3930.00
hope it helps :)
I am so confused..please help 0-0
ASAPPPPPPPPPPPPPPPPPPPPPPP P P P P P P P P P P P P P P P P P P P P
Answer:
5 trees per day
Step-by-step explanation:
Answer:
5 trees per day
Step-by-step explanation:
(1, 5)
(2,10)
the day increases by 1 and the trees increase by 5
how do you solve for y?
A cube with a volume of 216 cubic feet has all but the top and bottom faces painted. What is the total area of the two unpainted sides?
The volume of a cube is Side ^3
Find the cubic root of the volume to find the side length:
Side = cubicroot(216) = 6 feet.
The area of a face of a cube is s^2
Area of a face = 6^2 = 36 square feet.
Area of 2 faces = 36 x 2 = 72 square feet
Answer: 72 square feet
Answer:
72 ft²
Step-by-step explanation:
To find the length of each side we have to cube root the volume
∛216 = 6
We only have to find the areas for two faces (the top and bottom)
6 x 6 = 36 = area for one face
36 x 2 = 72 = area for two faces
Find the H.C.F of the following expressions.{x²-3x,x²-9}
Answer:
x2−3x+2=x2−2x−x+2
x(x−2)−1(x−2)=(x−2)(x−1)
Now
x2−4x+3=x2−3x−x+3
x(x−3)−1(x−3)=(x−3)(x−1)
Thus, the only common factor is (x-1)
Option A
hiiiii
Answer:
Step-by-step explanation:
x2−3x+2=x2−2x−x+2
x(x−2)−1(x−2)=(x−2)(x−1)
Now
x2−4x+3=x2−3x−x+3
x(x−3)−1(x−3)=(x−3)(x−1)
Thus, the only common factor is (x-1)
Option A
hope it helps
find the value of m if 3m/5+m/2=4/1+2/5
Answer: m = 3.89
Step-by-step explanation:
(3m/5)+(m/2) =(4/1)+(2/5)
= (taking LCM) (6m+5m)/10 = (20+1)/5
or, 11m/10 = 21/5
or, 55m = 210
or, m = 210/55
so, m = 3.89
What is the length of BC? :(
Enter your answer in the box
Answer:
BC=22
Step-by-step explanation:
Hi there!
We are given an isosceles triangle (notice the markings on m<C and m<B), the length of the sides AB and AC as x-2 and 2x-24 respectively, and we want to find the length of BC (given as x)
In an isosceles triangle, the sides known as the legs (in this case, AC and AB), are congruent to each other
As they both contain x in their side lengths (remember that x=BC), let's set them equal to each other to find the value of x
2x-24=x-2
Add 24 to both sides
2x=x+22
Subtract x from both sides
x=22
So the length of BC is 22
Hope this helps!
