Answer:
(-5,12)
Step-by-step explanation:
Answer:
1.5.80 miles
2.9.80ft
3.56 inches
4.5.20 units
5. 13 units
6.5.40 ft
Step-by-step explanation:
⇒These questions are on the Pythagorean relationship
⇒General expression is ;
a²+b²=c² where a and b are values for the legs and c is the hypotenuse
1. Isaiah waked 3 miles north and 5 miles east.
Finding the distance from starting point we apply the equation;
a²+b²=c² where a=5 miles and b=3miles
5²+3²=c²
25+9=c²
34=c²
c=√34 = 5.80 miles
2.The ladder is leaning against the wall to form the hypotenuse side of 10 ft.The distance from the base to the ladder forms side a= 2ft. The question requires you to calculate the height b.
a²+b²=c²
2²+b²=10²
4+b²=100
b²=100-4
b=√96
b=9.80 ft
3. The television has a diagonal of 70 inches to represent side c and a height of 42 inches to represent the side a. The question requires you to find the width of the television which represents the side b
a²+ b²=c²
42²+b²=70²
b²=70²-42²
b=√3136
c=56 inches
4. An equilateral triangle is one that has all its sides and angles equal. Here you have to introduce a perpendicular line from the apex point of the triangle to the base and get the distance a.The using the hypotenuse and the distance a, you can find the height/b.
c= 6 units and a=6/2= 3 units
a²+b²=c² 3²+ b²= 6²
9+b²=36
b²=36-9
b=√27 =5.20 units
5.In this question, you are given the height and the width of the right triangle thus apply the relationship as;
a²+b²=c²..........where a=5 and b=12
5²+12²=c²
25+144=c²⇒⇒⇒c=√169 =13 units
6. In this question, the height of the plant represents side b and the distance of the base from where the string is tied is side b.You are to find the length of the string which represents the hypotenuse side.
a²+b²=c²
5²+2²=c²
25+4=c²
29=c²
√29=c
c=5.40 ft
No instructions? I'll assume you want the unit rate.
4 miles in 36 minutes = 4/36 miles in 1 minute, or 1/9 mile in 1 minute.
1 3/4 mile in 20 minutes? Multiply both figures by 3:
7 miles in 60 minutes, or 7 miles in 1 hour, or 7 mph.
Answer:
The Mean Absolute Deviation is 11
Step-by-step explanation:
Given:
325, 310, 289, 288, 285, 285, 285, 280, 280 and 273
Mean = 290
Required:
Calculate the Mean Absolute Deviation
Provided that we have the value of the mean to be 290 from the question; the following steps will calculate the Mean Absolute Deviation
Step 1: Subtract the mean weight from each weight
325 - 290 = 35
310 - 290 = 20
289 - 290 = -1
288 - 290 = -2
285 - 290 = -5
285 - 290 = -5
285 - 290 = -5
280 - 290 = -10
280 - 290 = -10
273 - 290 = -17
Step 2: Calculate the absolute value of the each results above
|35| = 35
|20| = 20
|-1| = 1
|-2| = 2
|-5| = 5
|-5| = 5
|-5| = 5
|-10| = 10
|-10| = 10
|-17| = 17
Step 3: Calculate the mean of the data above
Mean Absolute Value =
Mean Absolute Value =
Mean Absolute Value = 11
Hence, the Mean Absolute Deviation is 11
Answer:It doesn't make sense
Step-by-step explanation: