Try this: Combine 6 and 9, obtaining 15.
Compare this sum, 15, to the length of the 3rd side: 15.
If placed end to end, the 2 sides with lengths 6 and 9 form a new line of length 15. We'd end up with this new line superimposed on the 3rd side (with length 15).
Think: Do 2 straight lines of length 15, superimposed on one another, form a triangle?
Answer:
495 students are at Lincoln Middle School
Step-by-step explanation:
450/?
450 = 90%
450*90% = 450 * 0.90 = 405
450- 405 = 45
450+45 = 495
Yes and thank you for the points
Answer:
18. h = 14.4
19. h = 4.23
20. h = 15.28
21. h = 11.46
All answers are rounded to two decimal places.
Step-by-step explanation:
18. To find the height if you know all 3 sides. Multiply sides a & b, and divide the product by c.
x = (a * b)/c
x = (18 * 24)/30
x = 432/30
x = 72/5
x = 14.4
19. We know that the entire length of the hypotenuse is 27. However, 24 is needed here. That's 8/9 of 27, so 80 degrees is one of the angles. So we need to find the hypotenuse first. That can be done like this: b/sin(β)
24/sin(80)
24/0.98480775
24/1 * 4000000/3939231
8/1 * 4000000/1313077
32000000/1313077
24.3702388
Now to find the first leg, which will be the height of the entire triangle.
x = √c² - b²
x = √24.3702388² - 24²
x = √593.908539 - 576
x = √17.908539
x = 4.23184818
x = 4.23
20. This one requires similar work to #19, but the hypotenuse of the smaller triangle is x.
20/sin(60)
20/0.8660254
20/1 * 5000000/4330127
100000000/4330127
23.0940109
√23.0940109² - 20²
√533.333339 - 400
√133.333339
11.5470056
î The answer above is leg 2 of the smaller triangle.
x = √10² + 133.333339
x = √100 + 133.333339
x = √233.33339
x = 15.2752525
x = 15.28
21. There is no need to figure out what the height is. The entire triangle is 45-45-90.
x = (√18² + 18²) - 15
x = (√324 + 324) - 15
x = (√648) - 15
x = 25.46 - 15
x = 11.46
Answer:
Step-by-step explanation:
1)x/4.1=-2
2)multiplyby 4.1 on both sides x/4.1*4.1=-2*4.1
3) x=-8.2
