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
DedPeter [7]
3 years ago
8

An equilateral triangle has a base of 44 meters and a height of h meters. Inside that triangle is constructed a second equilater

al triangle of base 22 meters and a height
of 0.5h meters. Inside the second triangle is constructed a third equilateral triangle of base 11 meters and a height of 0.25h meters.
What percent of the area of the largest triangle is the area of the smallest triangle?
% of the area of the largest triangle.
The area of the smallest triangle is
(Type an integer or a decimal)
Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

6.25 %  of area of Large triangle =  area of smallest triangle

Step-by-step explanation:

Area of large triangle L = (1/2)*base*height

L = (1/2)*(44 m)* h

L = 22*h  square m.

2nd equilateral triangle area:  S =(1/2)*(22 m)*(0.5h)

S = 5.5*h sq. m.

3rd smallest equilateral triangle area : T = (1/2)*(11 m)*(0.25h)

T = 1.375*h sq. m

-----

Find percent P  where  T = P* L,     1.375*h = P * 22*h

P = 6.25%  = 0.0625

You might be interested in
What type of triangle is triangle ABC give reasons for your answer help please I need 1 more mark But I don't know what I'm doin
ladessa [460]

Answer: isosceles

Step-by-step explanation:

By the alternate interior angles theorem, \angle CAB=50^{\circ}

Since angles in a triangle add to 180 degrees, \angle ACB=180^{\circ}-80^{\circ}-50^{\circ}=50^{\circ}

Since sides opposite equal angles in a triangle are equal, AB=BC.

So, triangle ABC is <u>isosceles</u>

7 0
2 years ago
HI PLEASE ANSWER THIS QUESTION THANK YOU!<br> (NO TROLLS PLEASE!)
Setler79 [48]
Not 100% sure but it might be B
6 0
2 years ago
Solve the following triangle in which given sides are<br> a=7 b=7 c=9
blagie [28]
We have an isosceles triangle;
A=opposite angle side a.
B=opposite angle side b.
C=opposite angle side c.

A=B
Method 1:

We can divide the isosceles triangle in two right triangles,
hypotenuse=7
side=9/2=4.5

B=A=arccossine (4.5/7)=49.994799...º≈50º
C/2=90º-50º=40º  ⇒ C=2*40º=80º

Answer:
a=7;  A=50º
b=7;  B=50º
<span>c=9;  C=80º

Method 2:
Law of cosines:
a²=b²+c²-2bcCosA  ⇒CosA=(a²-b²-c²)/(-2bc)
CosA=(49-49-81) / (-126)=0.642857
A=arco cos (81/126)≈50º

B=A=50º

A+B+C=180º
50º+50º+C=180º
C=180º-100º
C=80º

Answer:

</span>a=7;  A=50º
b=7;  B=50º
<span>c=9;  C=80º</span>

8 0
3 years ago
The cost to play the game is $2. The winner gets $6 for making green. Suppose 36 people play the game. How much money will the s
IRINA_888 [86]

Answer:

$72

Step-by-step explanation:

I did 36 x 2. I did not subtract the -6 for the prize money because it says not to.

5 0
3 years ago
Read 2 more answers
What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?
seraphim [82]

21.6 units

Calculate the length of the 2 inclined sides using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )

d = √(3 + 3 )² + (4 - 3)² = √(36 + 1 ) = √37

repeat for (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, - 3 )

d = √(3 + 3 )² + (- 3 - 3 )² = √(36 + 36 ) = √72

the vertical side has a length of 7 units

perimeter = √37 + √72 + 7 = 21.6 ( nearest tenth of a unit )



3 0
3 years ago
Other questions:
  • A cyclic quadrilateral is shown. x:y=3:7. work out the size of angle z
    10·1 answer
  • Find each difference. Write in simplest form 7/8-5/8=
    5·1 answer
  • Can someone help me with these? Thank you so much!
    14·2 answers
  • The ratio of boys to girl at the dance was 9 to 5.how many girls were at the dance if there were 85 girls ar the dance
    5·1 answer
  • 2h + (6 + h) + 6 ∙ 2
    10·2 answers
  • Test test 123 123 12345678
    8·2 answers
  • It’s x+8 at the bottom but if you solve this please give me a step by step so I know how to solve it, thank you!!♥️
    7·1 answer
  • Katie's deli can make 60 sandwiches in 4 hours. Stacy's can make double that in the same amount of time. How many sandwiches can
    9·2 answers
  • I need to increase the numbers of customers I talk to daily by 20%. I talk to an average of 8 customers per hour during an 8 hou
    6·1 answer
  • Out of 2500 light bulbs that were tested, 135 were defective. Based on this information calculate the following
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!