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:
(
x
+
4
)
×
(
x
−
1
)
Step-by-step explanation:
The equation in the A
x
²
+
B
x
+
C
The C is negative which indicates that one binomial will be negative and one binomial will be positive. The B is positive which indicates that the positive binomial will be larger than the negative binomial
. The B is +3 which tells that the difference in the two factors is 3
Pretty sure mean for all of them because that is the calculated average.
Answer:
$9,220,000(0.888)^t
Step-by-step explanation:
Model this using the following formula:
Value = (Present Value)*(1 - rate of decay)^(number of years)
Here, Value after t years = $9,220,000(1 -0.112)^t
Value after t years = $9,220,000(0.888)^t
Answer:
15 ft
Step-by-step explanation:
12^2 + 9^2 = c^2
144 + 81 = c^2
225 = c^2
c = 15
