Answer:
The length of the sides are 8 , 32 , 36
Step-by-step explanation:
Ratio of sides = 2 : 8 : 9
The sides are 2x , 8x , 9x
Perimeter of triangle = 76 inches
2x+ 8x + 9x = 76
19x = 76
x = 76/19
x = 4
2x = 2*4 = 8
8x = 8 * 4 = 32
9x = 9 * 4 = 36
3 RIGHT TRIANGLES
1 big right triangle is divided into 2 smaller ones. Medium
and small.
<span> a.How far is the spot on the beach from the parking lot? </span>
Medium triangle: long leg = 32 m ; short leg = x
Small triangle: long leg = x ; short leg = 18m
32/x = x/18
32*18 = x*x
576 = x²
√576 = √x²
24 = x
Parking lot to the beach is 24 meters.
<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>
Use Pythagorean theorem:
Medium triangle: long leg = 32 m ; short leg = 24 m ;
hypotenuse = ?
32²+ 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 m = c
Parking lot to refreshment stand is 40 meters.
Answer:
75
Step-by-step explanation:
Since the ratio between flamingos and chachalacas is 2:1, we see that the ratio of flamingos to chachalacas to parrots to herons is 10:5:7:3. The sum of these numbers is 25, so every 'ratio number' gets 375/25 = 15 animals. So the number of chachalacas is 15 * 5 = 75.
Answer: FALSE
Reason: The Discriminant determines how many or what are the nature of the roots. To get the Discriminant of a quadratic equation, find the square the value of 'b' subtracted to the product of 4, the value of 'a', and the value of 'c'.
<h2>D - b² - 4ac</h2>
hope this helps :)
Answer:
x<-3
Step-by-step explanation:
-16x-12>36
-16x>48
x<-3