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
Helen [10]
3 years ago
8

The side lengths of triangle a are increased by 40%. The side lengths of triangle b do not change. What is the new ratio of the

area of triangle a to triangle b?
Mathematics
1 answer:
mars1129 [50]3 years ago
8 0

Answer:

1.96 : 1

Step-by-step explanation:

The area of a triangle is  

A=\frac{1}{2}bh

Where b is the base and h is the height

Since triangle b's side do not change, let base be b and height be h, so area would simply be  A=\frac{1}{2}bh

Since side lengths are increased by 40%, that means:

40% = 40/100 = 0.4

Increase of this means "multiply by 1.4"

So base will increase by this as well as height. So with respect to triangle b, triangle a's area would be:

A=\frac{1}{2}(1.4b)(1.4h)\\A=\frac{1}{2}(1.4*1.4)bh\\A=\frac{1}{2}bh*1.96

So, there's an extra factor of 1.96 which means area increased by 96%!

So, we find ratio of triangle a to triangle b (area) by dividing area of triangle a to triangle b:

\frac{\frac{1}{2}bh(1.96)}{\frac{1}{2}bh}\\=1.96:1

So the ratio is 1.96:1

You might be interested in
What is the slope of a line perpendicular to the line with equation 2x+3y=9
zheka24 [161]

Answer:

<h2>slope =  \frac{3}{2}  \\</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the slope of the perpendicular line we must first find the slope of the original line

The original line is

2x + 3y = 9

3y = - 2x + 9

y =  -  \frac{2}{3} x +  \frac{9}{  3}  \\  \\ y =  -  \frac{2}{3} x +  3

Since the lines are perpendicular to each other the slope of the perpendicular line is the negative inverse of the original line

So the slope of the perpendicular line is

slope =  \frac{3}{2}  \\

Hope this helps you

8 0
3 years ago
Steve can run 3.5 miles in 30 minutes. If Steve increases his rate by 1/2 mile per hour, how far will he run in 2 hours?
Sati [7]

Answer:

15 miles

Step-by-step explanation:

Steve runs 3.5 miles in 30 minutes (0.5 hours).  So his speed is:

r = 3.5 mi / 0.5 h

r = 7 mi/h

If his rate increases to 7.5 mi/h, the distance he runs in 2 hours is:

d = 7.5 mi/h × 2 h

d = 15 mi

7 0
3 years ago
Read 2 more answers
A negative number is ______ a positive number
yawa3891 [41]
A negative number is the inverse of a positive number and a negative number is smaller than a positive  hope this help
5 0
3 years ago
Use the distributive property to write two different expressions equal to 96.
Andre45 [30]

Answer:

96 = 3 * 32, and 32 = 16 + 16, so we can say:

96 = 3(16 + 16)

96 is also equal to 2 * 48, and 48 equals 36 + 12, so we can also say:

96 = 2(36 + 12)

If you want to go with the ridiculous, you have an infinite number of combinations you could do like that.  For example:

96 = 0.15(1423987123497 - 1423987122857)

8 0
3 years ago
Beth has $50 to spend on new clothes during a tax free weekend. She
kogti [31]

Answer:

C.

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Which of the following would you expect to find on a monthly account statement?
    10·2 answers
  • Please help me with a maths question below
    5·1 answer
  • The diagonals of a kite are in the ratio 3 : 2. The area of the kite is 27cm(squared). find the length of both diagonals.
    9·1 answer
  • What is 3/4 gallon in quarts?
    6·1 answer
  • 97/8 divided by 16/29
    8·2 answers
  • What ides it mean by simplify?
    9·1 answer
  • A. Statistics is the science of​ manipulating, reorganizing, and editing information to produce the desired results. In​ add
    12·1 answer
  • 12x^3-11x^2+9x+18 divided by 4x+3
    5·1 answer
  • 18% of what number is 46.8?
    14·2 answers
  • Find the value of x if 7,x and 11 are in A.p.​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!