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
Tanya [424]
3 years ago
14

Pythagoras is planting a rose garden in the center of his rectangular yard, which is 20 feet long and 8 feet wide. He wants to d

ig up an area in the shape of an equilateral triangle with sides 5 feet each. After he digs up the rose-bed section, approximately how much grass will be left? Round to the nearest foot.
Mathematics
1 answer:
Mama L [17]3 years ago
6 0
The remaining area that the grass will cover will be given by:
Area=[area of rectangle]-[area of the triangle]
area of rectangle will be:
A1=length*width
=20*8
=160 square feet

The area of the triangle will be:
A2=1/2absin theta
since the triangle is equilateral, all the angles are equal and the size of each angle is 60°. Thus the area will be:
A2=1/2*5*5sin 60
=18.3
thus the remaining area of the grass will be:
Area=160-18.3
=149.7 square feet
You might be interested in
A phone company surveys a sample of current customers to determine if they use their phones most often to text or use the Intern
Gre4nikov [31]

Answer: payment B: 23 customers

plan B text: 13 customers

fraction form: 13/23

Step-by-step explanation:

7 0
3 years ago
Find the missing side length of the right triangle.
Tomtit [17]
This is just some pythagorean theorem, or a^2 + b^2 = c^2. We have a and b, which is 9 and 12, and we need to find c. To find c, we need to first square those, giving u 81 and 144. Now, we need to add them, giving us 225, meaning c^2 = 225. However, we need to find c on its own, so we have to find the square root of 225. That would be 15.
5 0
1 year ago
ASAP HELP<br> 10.Simplify the following expression: 2n+4-0.3n-3
Oksana_A [137]
1.7n +1
I think the is the answer
I hope this helps :)
7 0
2 years ago
which is the other endpoint of a line segment with one endpoint at (-2,5) and midpoint at (3,1) PLEASE HURRY AND ANSWER I WILL G
iragen [17]

Answer:

It is the last one or E

Step-by-step explanation:

over 5 down 4 to get the midpoint

then another over 5 down 4 for the endpoint

8 0
3 years ago
Given: PS=RT, PQ=ST<br> Prove: QS=RS
ivanzaharov [21]

Answer:

I) Eq(1) reason: sum of segments of a straight line

II) Eq(2) reason: Given PQ = ST & PS = RT

III) Eq(3) reason: sum of segments of a straight line

IV) Eq(4) reason: Same value on right hand sides of eq(2) and eq(3) demands that we must equate their respective left hand sides

V) Eq(5) reason: Usage of collection of like terms and subtraction provided this equation.

Step-by-step explanation:

We are given that;

PS = RT and that PQ = ST

Now, we want to prove that QS = RS.

From the diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

PQ + QS = PS - - - - (eq 1)

Now, from earlier we saw that PQ = ST & PS = RT

Thus putting ST for PQ & PS for RT in eq 1,we have;

ST + QS = RT - - - - (eq 2)

Again, from the line diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

RS + ST = RT - - - - -(eq 3)

From eq(2) & eq(3) we can see that both left hand sides is equal to RT.

Thus, we can equate both left hand sides with each other to give;

ST + QS = RS + ST - - - (eq 4)

Subtracting ST from both sides gives;

ST - ST + QS = RS + ST - ST

This gives;

QS = RS - - - - (eq 5)

Thus;

QS = RS

Proved

5 0
2 years ago
Other questions:
  • Does anyone know the answer to this please help
    10·2 answers
  • 6x + 8 - 13x + 10 = 4 - 6x - 11 + 4x
    6·1 answer
  • What else is represented or means the same thing as a sum
    15·2 answers
  • Convert the units of length.
    12·1 answer
  • 30 pointsssssssss
    14·1 answer
  • A triangle is translated by using the rule (X.Y) =(x-4.y+1). Which describes how the figure is moved?
    12·1 answer
  • How do i find the measure of R or whatever big confushion help
    9·1 answer
  • Darel went to the mall and spent $41. He bought several t-shirts that ach cost
    5·1 answer
  • Give a verbal description of the universal set for each of the following
    9·1 answer
  • 8. Last year Tiffany saved $600. This year she<br> saved $780. Find the percent of change.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!