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ss7ja [257]
3 years ago
12

A man drove 14 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of

work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
Mathematics
1 answer:
Stels [109]3 years ago
4 0

Answer:

14.9 miles

Step-by-step explanation:

If the road was created, the 3 different roads would form a right triangle where the new road would be the hypotenuse and the other 2 roads would be the legs.

We can use the pythagorean theorem to find the length of the hypotenuse, or the new road:

a² + b² = c²

14² + 5² = c²

221 = c²

14.9 = c

= 14.9 miles

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A researcher plans to study the causal effect of a strong legal system on economy, using data from a random sample of U.S. count
kogti [31]

Answer:

Based on expert opinion the regression does not suffer from omitted variable bias

Step-by-step explanation:

<em>Based on expert opinion the regression does not suffer from omitted variable bias </em>because its indicators taking values of 1 and 0 where 1 would represent taking action by the legal system  and 0 would represent not taking action by the legal system. as

The researcher plans to regress national income per capita based on the effect of the legal system

applying the formula for addressing omitted variable bias ( attached below )

7 0
2 years ago
The total bill for breakfast was $81.30. The group of friends
mr_godi [17]

Answer:

$93.50

Step-by-step explanation:

81.30 x 1.15 = 93.50

6 0
3 years ago
Circle has rad of 1.5m what angle subtended at center of circle by arc of 1m
Mumz [18]
120 degrees or 0.67 radians
5 0
2 years ago
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 12, b = 14
Eva8 [605]
We know that
case 1)
Applying the law of sines
a/Sin A=b/Sin B
A=56°
a=12
b=14
so
a*Sin B=b*Sin A----> Sin B=b*Sin A/a---> Sin B=14*Sin 56°/12
Sin B=0.9672
B=arc sin (0.9672)------> B=75.29°-----> B=75.3°

find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+75.3)----> C=48.7°

find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 48.7°/Sin 56°)
c=10.87-----> c=10.9

the answer Part 1)
the dimensions of the triangle N 1
are
a=12  A=56°
b=14  B=75.3°
c=10.9  C=48.7°

case 2) 
A=56°
a=12
b=14
B=180-75.3----> B=104.7°

find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+104.7)----> C=19.3°

find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 19.3°/Sin 56°)
c=4.78-----> c=4.8

the answer Part 2)
the dimensions of the triangle N 2
are
a=12  A=56°
b=14  B=104.7°
c=4.8    C=19.3°
3 0
3 years ago
Help mah ASAP PLEASEEE
Yakvenalex [24]

Answer:

But on what question??

Step-by-step explanation:

6 0
2 years ago
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