Answer:
- there are 81 inches in 6 3/4 feet.
<h3>hope it helps..</h3><h3>stay safe healthy and happy.</h3>
Problem 15
The general format for these types of problems is
A/B = C/D
One way to set things up is to notice how the horizontal sides are 15 and 6 for the large and small triangles respectively. So A/B = 15/6
At the same time, we can say C/D = 20/x since the longer diagonal is 20 and the shorter diagonal is x (notice how we divide in the same order of long over short)
A/B = C/D updates to 15/6 = 20/x
Cross multiply to solve for x
15/6 = 20/x
15*x = 6*20
15x = 120
x = 120/15
x = 8
<h3>Answer: x = 8</h3>
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Problem 16
A = Long horizontal side = x
B = Short horizontal side = 24
A/B = x/24
C = long diagonal side of larger triangle = 20+12 = 32
D = short diagonal side of smaller triangle = 20
C/D = 32/20
-------
A/B = C/D
x/24 = 32/20
20x = 24*32
20x = 768
x = 768/20
x = 38.4
<h3>Answer: x = 38.4</h3>
side notes:
- 38.4 = 38 & 2/5 as a mixed number
- 38.4 = 192/5 as an improper fraction
Answer:
SR and RZ
Step-by-step explanation:
A perpendicular bisector is a line segment that passes through the midpoint of a side of a triangle. In other words, If it goes through a side, it should split the segment in half perfectly. Furthermore, it must be perpendicular to the side it passes through (it should form a ninety-degree angle with the side). Given these two rules, one can say that one of the perpendicular bisectors is SR. SR forms a right angle with (and is thus perpendicular to) side AB. Furthermore, AS is congruent to (has the same length as) SB, which means SR cuts AB in half exactly. Another bisector would be RZ (for similar reasoning). Let me know if that doesn't make sense.
Answer:
Part A: 2.8 miles
Part B: 16.8 miles
Step-by-step explanation:
First, solve for how many miles Ted jogged in 1 day:
Variable x = number of miles
11.2/4 = x/1
Cross multiply
11.2 × 1 = 4 × x
11.2 = 4x
Divide both sides by 4
2.8 = x
He jogged 2.8 miles every day.
To find how many miles Ted would jog in 6 days, simply multiply his miles per day by the number of days he will jog:
2.8 miles × 6 days = 16.8 miles in 6 days
Answer:
x= 16.53
Step-by-step explanation:
Since this is a right triangle we can use the law of cosine (adjacent/hypotenuse) to solve. You get the equation cos(49)=x/55. You then wanna multiply 55 to both sides so you can isolate x. You get 55*cos(49)=x. Then, you put 55*cos(49) into a calculator and multiply to get 16.5325899059.... Then round to the nearest hundredth to get 16.53 as your answer.
Hope this helps :) (its been a while since I've done trig ratios so thanks for the refresher)