The back of the park bench is the shape of a irregular trapizoid,as shown in the figure. What shapes can the trapizoid be divided into to find the area?

Answer:2/9

Step-by-step explanation:

Answer:

8.06 units  = AD

(just write sq rt 65 = 8.062 ) then write or try sq rt of 65  to 3 sf = nearest tenth 8.06 tenth units rounded.

Step-by-step explanation:

AE = 7

ED = 4

We use Pythagoras Theorem as it is a right angle as AE^2 + ED^2 = AD^2

7^2 + 4^2 = AD^2

49 + 16 = 65 sq rt

sq rt  65 = AD^2 = 8.062^2

AD = 8.062 units

Answer:

$5065.8332

Step-by-step explanation:

Given that :

Compound interest formula :

A = P(1 + r/n)^nt

t = period in years

n = number of compounding times per period, quarterly = 12/3 = 4

A = 5,993.79

r = 0.0307

t = 66 months = 66/12 = 5.5

5,993.79 = P(1 + 0.0307/4)^4*5.5

5,993.79 = P(1.007675)^22

5,993.79 = 1.1831795P

P = 5,993.79 / 1.1831795

P = 5065.8332

Hence, principal amount = $5065.8332

Answer:

A' = (-2,0)

Step-by-step explanation:

imagine a mirror being along the line y=2.

Then A's mirror image would appear at -2,0.

[tex]5\frac{1}{3} =\frac{16}{3}[/tex]

[tex]\frac{16}{3} -\frac{2}{3} \\=\frac{14}{3}[/tex]

Hope this helped!!!!!!!

Answer:

The new coordinates of E are (-3,-15/2).

Step-by-step explanation:

Here we just need to multiply each element of this point by r.

So we have:

[tex]E_{new}(-2*(\frac{3}{2}),-5*(\frac{3}{2}))[/tex]

[tex]E_{new}(-3,-\frac{15}{2})[/tex]

Therefore, the new coordinates of E are (-3,-15/2).

I hope it helps you!

Step-by-step explanation:

here's your solution

=> total money received by them = $1600

=> the given ratio are 7:5:4

=> let the ratio be X ,now

=> Maria = 7X

=> Carolina = 5X

=> Pedro = 4X

=> we know whole money = $1600

=> so, adding all

=>. 7x + 5x + 4x = $1600

=> 16x = $1600

=> x= $1600/16

=>. x = $100

now Maria = 7*100 = $700

Carolina = 5*100 = $500

Pedro = 4*100 = $400

hope it helps

Answer:

20, 21, 29

Step-by-step explanation:

h²= p²+b²

29² = 20²+ 21²

Answer: To find the area of a trapezoid, start by adding together the length of the bases, which are the 2 sides of the trapezoid that are parallel with each other. Then, multiply that number by the height of the trapezoid. Finish by dividing the product by 2 to find the area. Or check this image it can help u

Step-by-step explanation:

Answer:

volume of cylinder : πr²×h = π × 5² × 15 = 375π ≈ 1177.5 cm³

Answer:

B wpuld be your answer

Step-by-step explanation:

Its the nearest ft from 70.

− 7 = 3

− 7 + 7 = 3 + 7

 =  10

Answer:

3/10

Step-by-step explanation:

Probability will be the number of goats, since goats is what you're looking for, over the number of total animals. So that gives 3/10.

To get that as a decimal, divide 3 by 10. Then take your decimal and multiply it by 100 to give the percent.

Answer:

√6 × √6 × √6 = 6√6

Step-by-step explanation:

[tex] \rm \sqrt{6} \times \sqrt{6} \times \sqrt{6} [/tex]

[tex] \rm = \sqrt{36} \times \sqrt{6} [/tex]

[tex] \blue{\boxed{\rm = 6 \sqrt{6} }}[/tex]

Answer:

21.5

Step-by-step explanation:

square is 10x10 = 100

circle is A=πr2=π·5²≈78.54

100-78.54 = 21.46 = 21.5

Answer:

21.5 sq cm

Step-by-step explanation:

Area of Square:

A= LXW= 10x10= 100 sq cm

Area of Circle=

A=πr²

Radius= D/2= 10/2= 5 cm

A=3.14(5²)

A=3.14(25)= 78.5 sq cm

Shaded Region= 100-78.5= 21.5

The area of the shaded region is 21.5 sq cm.

Answer:

Area = 220.8 units²

Step-by-step explanation:

Since, given regular hexagon is made up of 6 congruent triangles joined together.

Area of the given regular hexagon = 6(Area of ΔAOB)

Area of ΔAOB = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(AB)(OC)[/tex]

                        = [tex]\frac{1}{2}(9.2)(8)[/tex]

                        = 36.8 unit²

Therefore, area of regular hexagon = 6(36.8)

                                                 = 220.8 units²

Answer:

Subtract 5x from both sides of the equation.

7y=1−5x

x+4y=−5

Divide each term by 7 and simplify.

y=17−5x/7

x+4y=−5

Subtract x from both sides of the equation.

y=1/7−5x/7

4y=−5−x

y=1/7−5x/7

Divide each term by 4 and simplify.

y=1/7−5x/7

y=−5/4−x/4

y=1/7−5x/7

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution. (3,−2)

Step-by-step explanation:

Answer:

It is positive

Step-by-step explanation:

because of geomatrical graph

9514 1404 393

Answer:

  4.  1.3 cm³

  5.  621.2 mm³

  6.  116.5 m³

Step-by-step explanation:

The height to the peak of the pyramid is one side of the right triangle that has its hypotenuse equal to the slant height, and one leg equal to half the base side length. The Pythagorean theorem is used to find the height from the slant height (s) and the base length (b):

  h = √(s² -(b/2)²)

The volume is found from the formula ...

  V = (1/3)b²h

where b is the base length and h is the height found using the previous formula.

The tedious arithmetic is nicely done using a spreadsheet. Results are attached.

Half of R is shown as 20 degrees, so the other half of r is also 20 degrees.

A tangent line forms a right angle, so the tangent at P is 90 degrees.

X would be 180 - 90 - 20 = 70 degrees.

X = 70 degrees.

Answer:

1 1/2 cakes

Step-by-step explanation:

3/8 ÷ 1/4

3/8 * 4/1

12/8

3/2

1 1/2

Answer:

Step-by-step explanation:

write a rule for the n th term of the geometric sequence for which a_1=11 and a_4=88

Answer:

x = 3 and y = 6

Step-by-step explanation:

Hope this helps :)

Answer:

x = 3, y = 30

Step-by-step explanation:

Since the 3 sides are congruent then the triangle is equilateral.

The 3 angles are congruent and equal tp 60°

Evaluate each of the angles to 60 and solve for x and y , that is

25x - 15 = 60 ( add 15 to both sides )

25x = 75 ( divide both sides by 25 )

x = 3

and

2y = 60 ( divide both sides by 2 )

y = 30