1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
WINSTONCH [101]
2 years ago
8

A regular polygon has a perimeter of 40 cm and a apothem of 6 cm. find the polygons area

Mathematics
1 answer:
Anestetic [448]2 years ago
3 0

Answer:

a = 120 cm²

Step-by-step explanation:

n = number of sides

edge length

40/n

divide the polygon into n congruent triangles

a = (1/2)(edge * apothem) * number of triangles

a = (1/2)(40/n)(6) * n

n cancels out

a = (1/2)(40)(6)

a = 120 cm²

You might be interested in
3. f(-4) – 3.g(-2) =
Finger [1]
I got:
-2(2f-3g)

explanation:
used communicative property
6 0
3 years ago
What is the range of the equation
a_sh-v [17]

The range of the equation is y>2

Explanation:

The given equation is y=2(4)^{x+3}+2

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

y=2 \cdot 4^{x+3}+2

This can be written as y=2^{1+2(x+3)}+2

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

x=2^{1+2(y+3)}+2

Solving for y, we get;

x-2=2^{1+2(y+3)}

Applying the log rule, if f(x) = g(x) then \ln (f(x))=\ln (g(x)), then, we get;

\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)

Simplifying, we get;

(1+2(y+3)) \ln (2)=\ln (x-2)

Dividing both sides by \ln (2), we have;

2 y+7=\frac{\ln (x-2)}{\ln (2)}

Subtracting 7 from both sides of the equation, we have;

2 y=\frac{\ln (x-2)}{\ln (2)}-7

Dividing both sides by 2, we get;

y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}

Let us find the positive values for logs.

Thus, we have,;

x-2>0

     x>2

The function domain is x>2

By combining the intervals, the range becomes y>2

Hence, the range of the equation is y>2

7 0
3 years ago
Segment CD has point E located on it such that CE:ED = 3:5. If the endpoints are located at C(5, -6) and D(11,18) then what are
wlad13 [49]

Answer:

E(29/4,3)

Step-by-step explanation:

Given that,

Segment CD has point E located on it such that CE:ED = 3:5

The coordinates of C and D are (5, -6) and (11,18) respectively.

We need to find the coordinates of E. Let the coordinates are (x,y). Using section formula to find it as follows :

(x,y)=(\dfrac{m_1x_2+m_2x_1}{m_1+m_2},\dfrac{m_1y_2+m_2y_1}{m_1+m_2})\\\\(x,y)=(\dfrac{3(11)+5(5)}{3+5},\dfrac{3(18)+5(-6)}{3+5})\\\\=\dfrac{29}{4},3

So, the coordinates of E are (29/4,3).

4 0
3 years ago
Simplify the algebraic expression: 4x + 8y + 7x² + 5x – 2y.
-BARSIC- [3]

Answer:

7x² + 9x + 6y

Step-by-step explanation:

7x² + 4x + 5x + 8y - 2y

5 0
3 years ago
If an object is projected upward from ground level with an initial velocity of 128 ft per sec, then it's height in feet after t
antoniya [11.8K]

Answer: t= 4 seconds

Maximum height = 256 feet

Step-by-step explanation:

The height of the object projected upwards after t seconds is given by

s(t)=-16t^2+128t.

The expression is a quadratic equation. When this equation is plotted on a graph, height against time, it takes the shape of a parabola whose vertex represents the maximum height attained by the object.

To get the value of t at the maximum height,

t = -b/2a

From the equation,

a = -16

b = 128

t = -128/-2×-16

= -128 /- 32= 4

it will take 4 seconds to reach its maximum height

To find maximum height attained, put t= 4 in the equation

s(t)=-16t^2+128t

S = -16× 4^2 + 128×4

S = -256+512

S = 256 feet

3 0
3 years ago
Other questions:
  • Using the graph, find the value of y when x = 7. (image down below)
    9·1 answer
  • Number 12! Please show work
    5·2 answers
  • Find the value of x.
    9·1 answer
  • Simplify 2x – 9y + 4x + 11y by combining like terms and then evaluate at x = -2<br> and y = 4.
    12·1 answer
  • How do you solve 4 x 2 = 5?
    12·1 answer
  • Please someone help me!!!!!! When multiplying simple fractions, the numerators ____
    10·1 answer
  • The original price of a mountain bike was reduced by $125.
    7·2 answers
  • Which choice is equivalent to the expression below?
    12·2 answers
  • In the diagram, JOK and MON are straight lines. Angle NOP and Angle NOQ are complimentary angles. Calculate the value of x - y.
    6·1 answer
  • Write 4 over 8 as a percent and as a decimal. this is so easy I know
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!