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
USPshnik [31]
3 years ago
14

The base of the triangle is one and a half times it's height. what is height if area is 75

Mathematics
2 answers:
Setler [38]3 years ago
8 0
H=15cm
b=10cm 
i think, i asked my mom thats a teacher and she said it was correct.
Margarita [4]3 years ago
8 0
Answer:  The height is: 10.61 units. 
                       {or, write as:  "(7.5 √2)  units"}. 
_____________________________________________________
Explanation:
_____________________________________________________
Area of a triangle:  A = 1/2 * base * height = 1/2 * b * h ;

Given:  b = 1.5 * h ;
           A = 75 units²
______________________________
Solve for "h" ("height") ;  h = 1.5 b ;
_________________________________
So, we solve for "b" ; then we plug that value into the equation: 
  
        →   h = 1.5 b ;  to get the height, "h" ;
______________________________________________________
        →   75 = 1/2 * (b) (1.5 b) ;
______________________________________________________
         Multiply the ENTIRE equation by "2" ;
  to get rid of the fraction and decimals ; 
______________________________________________________
       →   2 * { 75 = 1/2 * (b) (1.5 b) } ;
______________________________________________________
       →  150  =  b * 3b ;
______________________________________________________
       →  150  =  3 b²  ;  
 
       ↔ 3 b²  =  150 ; 
______________________________________________________
 
            Now, divide EACH side of the equation by "3" ;
_________________________________________________
       →  3 b² / 3 = 150 / 3 ; 
_________________________________________________
       →     b²  =  50 ;
_________________________________________________
           Now, take the POSITIVE square root of each side of the equation;
to isolate "b" on one side of the equation; and to solve for "b" ;
_________________________________________________
        →   √(b²)  =  √50
<span>_________________________________________________
</span>        →      b  =  √50
_________________________________________________
        →     √50 = √25 *√2 = 5√2
_________________________________________________
        h = (1.5) b = (1.5) *(5) (
_____________________________________________________
Explanation:
_____________________________________________________
Area of a triangle:  A = 1/2 * base * height = 1/2 * b * h ;

Given:  b = 1.5 h ;
           A = 75 units²
______________________________
Solve for "h" ("height") ;  h = 1.5 b ;
_________________________________
So, we solve for "b" ; then we plug that value into the equation: 
  
        →   h = 1.5 b ;  to get the height, "h" ;
______________________________________________________
        →   75 = 1/2 * (b) (1.5 b) ;
______________________________________________________
         Multiply the ENTIRE equation by "2" ; 
  to get rid of the fraction and decimals ; 
______________________________________________________
       →   2 * { 75 = 1/2 * (b) (1.5 b) } ;
______________________________________________________
       →  150  =  b * 3b ;
______________________________________________________
       →  150  =  3 b²  ;  
 
       ↔ 3 b²  =  150 ; 
______________________________________________________
 
            Now, divide EACH side of the equation by "3" ;
_________________________________________________
       →  3 b² / 3 = 150 / 3 ; 
_________________________________________________
       →     b²  =  50 ;
_________________________________________________
           Now, take the POSITIVE square root of each side of the equation; 
to isolate "b" on one side of the equation; and to solve for "b" ;
_________________________________________________
        →   √(b²)  =  √50
_________________________________________________
        →      b  =  √50
_________________________________________________
        →      b  =  √50 = √25 *√2 = 5√2
_________________________________________________
        →      h = 1.5 * 5 * √2 ;
_________________________________________________
       →    h = (7.5 √2)  units ;
                           
                      or,  (7.5) * (√2) = 10.6066017177982129 units ;
_______________________________________________________
                                            → round to 10.61 units .
_______________________________________________________
You might be interested in
There are 10 rolls of film in a box and 3 are defective. two rolls are selected without replacement. what is the probability of
german

P(picking one defective) = 3/10
P(picking a 2nd defective) = 2/9


P(1 and 2  defective) = 3/10 x 2/9  = 6/90 = 0.066

Second method using combination:
 ³C₂ / ¹⁰C₂ = 1/15 = 0.066
4 0
3 years ago
The matrix is used to solve a problem. Which of the following would be a solution to the problem?
timurjin [86]
The answer would be c because I know
3 0
3 years ago
Emma bought a carpet for $40. Later that carpet was marked down by 20%. By how much has the value been decreased?​
Gnoma [55]
By 8. 20 percent of 40 is 8. :)
5 0
3 years ago
Read 2 more answers
For f(X)=2x+1 and g(X)=x^2,find (f-g)(X)
Bezzdna [24]

The answer for f(x)-g(x) is -x^2+2x+1.The solution can be obtained by use of concept of functions.

<h3>What is a function?</h3>

A function, in mathematics, can be defined as an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).It useful in mathematical representation of scientific quantities.

We can perform addition and subtraction operations on functions.

The given function f(x) and g(x) are

f(x)=2x+1\\g(x)=x^2\\f(x)-g(x)=2x+1-x^2\\f(x)-g(x)=-x^2+2x+1

The solution for f(x)-g(x) is -x^2+2x+1.

To know more about functions visit:

brainly.com/question/12431044

#SPJ9

3 0
1 year ago
The following expression models the total money earned by setting up a food stall at a funfair, where x represents the number of
REY [17]
After a thorough search, I found the same question on the internet. Please refer to the attached picture. If it's the same one with yours, then the answer is letter C - The constant 10 refers to the cost of setting up the food stall even if no cheeseburger was sold.

It is like a fixed cost that is incurred by the food stall that they need to pay for not considering the sales or income they would earn.

8 0
3 years ago
Other questions:
  • Jenny plans to have two children but doesn't know if they are boy-boy, girl-girl, or boy-girl. What is the probability that she
    10·2 answers
  • Someone please help me
    9·1 answer
  • A circle with center c(4,-2) contains the point D( 8,1). What is the equation of the line perpendicular to the radius of the cir
    15·1 answer
  • PLEASE HELP! I will award brainliest!!!!
    14·1 answer
  • Solve -7+11-(-3 ) what is the answer need asap for class​
    7·1 answer
  • Brianna buys a $3200 refrigerator using an installment plan that requires 20% down
    15·2 answers
  • The population of a certain species of oak tree in a national forest declines each year by one-fourth. So, after each year, only
    13·1 answer
  • Find the volume of a sphere with a radius of about 6 cm, what is its surface area?
    15·2 answers
  • Julissa is printing out copies for a work training. it takes 4 minutes to print a color copy, and it takes 2 minutes to print a
    14·1 answer
  • What is the gradient of the graph shown?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!