the sides of one right triangle are 6,8 and 10.the sides of another right triangle are 10,24 and 26.determine if the triangle are similar.if so, what is the ratio for their corresponding sides?what is the ratio of their perimeters and their area measure?

Answers

Answer 1
Answer: so the ratio must be the same for the triangle to be the same
smallest side of 1 right triangle to smalles side of other right trigle shoudl be same as largest  side of 1 right trignale to largest side of other right triangle and also middle side


6:10 should equal 10:26 should equal 8:24
treat as fraction
6/10=10/26=8/24?
3/5=5/13=1/3
we know that 3/5 is not equal to 1/3 so they are NOT SIMILAR

ratios are
3:5
1:3
5:13


the perimiter of the smaller is 6+8+10=24
perimiter of larger is 10+24+26=60
ratio of perimiters larger to smaller is 60:24=5:2

area is 1/2 base times height
longest side=hypotonuse
therefor other 2 sides must be base and height

area of smaller=8 times 6 times 1/2=24

area lf larger=10 times 24 times 1/2=120
ratio of larger ot smaller is 120:24=5:1



not similar


ratio of perimiter larger to smaler=5:2

ratio oif area larger to smaller=5:1

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I recently took a test in my Algebra 1 class. This was on the test (that I most likely failed)and it said something about vertical motion. The problem is below. Try to solve it, please! Thanks!2=-t^2+4+5

Answers


OK.                                         2 = -t² + 4t + 5

Subtract 2 from each side:     0 = -t² + 4t + 3

Multiply the right side by  -1 :  0 = t² - 4t - 3

Unfortunately, this can't be factored.  The only other way I know
to find the solutions to a quadratic equation is with the use of the
quadratic formula.  When you do that, you get these solutions:

     t = 2 + √7 = about  4.65
and
     t = 2 - √7 = about  -0.65 .

If this equation comes from a problem that involves real people throwing
real things into the air and making vertical motion, then you want only the
positive solution.


Given f(x)=(x+5)(x-2), what are the x-intercepts?

Answers

Answer:

The intercepts are -5 and 2

Step-by-step explanation:

Using the zero product property

f(x)=(x+5)(x-2)

0 =(x+5)(x-2)

0 = (x+5)   0=(x-2)

x = -5            x = 2

The intercepts are -5 and 2

while shopping, Lucinda spent $48. if the amount she spent was 15% of her savings, how much savings did she have before she she shopped ?

Answers

Answer: $320

Step-by-step explanation:

Let the savings of Lucinda is denoted by 'x' .

If the amount she spent was 15% of her savings.

Then , the amount she spent would be 0.15x

[We can write 15% in 0.015 ∵ to convert a percentage sign we divide it by 100.]

It is given that  Lucinda spent $48.

\Rightarrow 0.15x=48\n\n\Rightarrow\ x=(48)/(0.15)\n\n=(4800)/(15)=320

Hence, she had $320 as savings before she she shopped.

im not sure if this is write but i would assume you would have to add it back so 
48 + 15 % = 55.2

4/5+×=13/5 how do I solve this problem

Answers

Subtract 4/5 from each side.
You get x=9/5
For future problems like this,  use the inverse operations.
Inverse operations:  (Addition,  subtraction)  (Multiply,  divide)
Like if it is 5x=25,  divide by 5.
x=5
For this x=9/5 though

What is 4 3/4 + 7/8 showing all work

Answers

4 (3)/(4) + (7)/(8)

Convert  mixed numbers  to improper fractions

=  (19)/(4) + (7)/(8)

Find de LCD  for 4 and 8 :

Factor each denominator  into its primes:

4 = 2^2

8 = 2^3

Find the  least common denominator 2^3 = 8

Adjust  fractions  based on  the LCD :

(19*2)/(8) +  (7)/(8)

Since the  denominators are equal , combine the fractions:

(2*19+7)/(8)

(38+7)/(8)

=  (45)/(8)

Therefore:

Convert  improper fractions to mixed numbers

= 5 (5)/(8)

hope this helps!

Helpppp meee plzzzzz and fastttt

Answers

Step-by-step explanation:

Area of shaded region

= (x + 10)(2x + 5) - (x + 1)(x + 1) \n  \n = 2 {x}^(2)  + 5x + 20x + 50 - ( {x}^(2)  + 2x + 1) \n  \n  = 2 {x}^(2)  +2 5x +50 -  {x}^(2)  - 2x - 1 \n  \n  = 2 {x}^(2) -  {x}^(2)   + 25x - 2x + 50 - 1 \n  \n  =  {x}^(2)  + 23x + 49 \n

Answer:

Step-by-step explanation: