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
Tresset [83]
2 years ago
7

Constance ran 620 meters around 4 sides of a square field. How many meters long was each side of the field?

Mathematics
1 answer:
kumpel [21]2 years ago
5 0
155 meters is the answer. You have to divide 620 by 4.
You might be interested in
Complete the equations to prove that vertical angles always have equal measure. In terms of b and a numberin degrees, \purple c=
Mila [183]
Idk know im sorry somwhere between 1 1 2

7 0
3 years ago
Read 2 more answers
2 + − 1 ( − ) + 7 ( 2 − )
olasank [31]

Answer:

Step-by-step explanation:

15

3 0
3 years ago
A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular
Tcecarenko [31]

If we draw the diagonals of the octagonal gazebo, the 4 diagonals divide the octagon into 8 triangles.

Note that each triangle is an isosceles triangle whose equal sides are x, the radius of the circle.

The top angle of each triangle is obtained by dividing the full angle by 8.

So, each top angle = \frac{360}{8}

= 45°

Now, in fig., consider one of the triangles Δ OAB. Draw an altitude OC from O to the opposite side AB.

This altitude OC bisects the top angle 45°.

Therefore, ∠ AOC = 22.5°.

Now, in Δ AOC,

sin 22.5=\frac{AC}{OA}

=\frac{AC}{x}

So, AC = x sin 22.5°

Note that, AB = 2 AC.

Therefore, AB = 2x sin 22.5°.

Also, cos 22.5=\frac{OC}{OA}

=\frac{OC}{x}

So, OC = x cos 22.5°.

Area of Δ AOB = \frac{1}{2}(AB)(OC)

= \frac{1}{2} × (2x sin 22.5°) × (x cos 22.5°)

= \frac{1}{2} x^{2} (2 sin 22.5° cos 22.5°)

= \frac{1}{2} x^{2} sin 45°

= x^{2} / 2\sqrt{2}

Area of the octagonal gazebo = 8 × one triangular area

= 8 × (x^{2} / 2\sqrt{2})

=2\sqrt{2} x^{2}

=2.828x^{2}

Area required for mulch = circular area - area of the gazebo

=3.14x^{2} -2.828x^{2}

=0.312x^{2}

Now, cost per unit area = $1.50.

Hence, total cost g(m) = area × cost per unit area

Total cost g(m) = 0.312x^{2} × 1.5

=0.468x^{2}

Hence, total cost g(m) = 0.468x^{2}.

4 0
3 years ago
Cheng-Yu has been recording data based on her age and height, which can be seen in the scatter plot shown. Predict Cheng-Yu's he
Verizon [17]

Answer:

53

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Six less than two times a number is no more than 7
ziro4ka [17]

Answer:

n <=6.5

Step-by-step explanation:

Six less than two times a number is no more than 7

2n-6 <=7

Add 6 to each side

2n-6+6 <=7+6

2n <=13

Divide by 2

2n/2 <=13/2

n <=6.5

3 0
3 years ago
Other questions:
  • The winner of a 1000 mile race drove his car to victory at a rate of 144.3096 mph. What was his time?
    5·1 answer
  • How tall is this building when rounding to the nearest hundred? The nearest thousand?
    13·1 answer
  • The dimensions of a rectangular building are given as a length of 12x + 24 feet and a width of 20x - 10 feet. Write the expressi
    12·1 answer
  • The base of a triangle is 7 less than twice its height. if the area of the triangle is 102cm^2 find the length of the base
    12·1 answer
  • PLEASE HELP!!!!
    7·2 answers
  • Greg needs at least $1.60 in stamps to mail a package. He has 28 cents and 4 cent stamps. He can use no more than twenty 4 cent
    5·1 answer
  • A manufacturer of shipping boxes has a box shaped like a cube. The side length is (5a + 4b). What is the volume of the box in te
    6·1 answer
  • 257 sci cu grau si 97 saci cu porumb cantaresc 14.480,iar 349 saci cu grau si 97 saci cu porumb cantaresc 18.344 kg.Sa se afle c
    8·1 answer
  • Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N i
    13·1 answer
  • Find the perimeter of a parallelogram and one semicircle
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!