Those ratios are not equivalent because 240 divided by 16 is 15 and 560 divided by 28 is 20.
Answer:
If these are addition:
1) 7
2) 3
3) 1
4) -3
5) 0
6) -5
If they are subtraction:
1) 9
2) 9
3) -7
4) 7
5) -4
6) 3
Step-by-step explanation:
Difference is subtraction, but your examples (7 and -3 = 10) implies that these are addition problems. Next time please set them up in a mathematical form.
This is how the problems would be set up:
Addition:
1) 8+(-1)= 7
2)6+(-3)= 3
3)-3+4= 1
4)2+(-5)= -3
4)-2+(-2)= 0
6)-1+(-4)= -5
Subtraction:
1) 8-(-1)= 9
2)6-(-3)= 9
3)-3-4=- 7
4)2-(-5)= 7
4)-2-(-2)= -4
6)-1-(-4)= 3
None 3 * 66 = 198
ALL triangles have a total degree measure of 180 degrees
Answer:
A)
15 hours
B)
108 hours
C)
2074.29 miles
Step-by-step explanation:
Under the assumption the earth is a perfect circle, then in one complete rotation about its axis ( 24 hours) the Earth will cover 360 degrees or 2π radians.
A)
In every 24 hours the earth rotates through 360 degrees ( a complete rotation). We are required to determine the length of time it will take the Earth to rotate through 225 degrees. Let x be the duration it takes the earth to rotate through 225 degrees, then the following proportions hold;
(24/360) = (x/225)
solving for x;
x = (24/360) * 225 = 15 hours
B)
In 24 hours the earth rotates through an angle of 2π radians (a complete rotation) . We are required to determine the length of time it will take the Earth to rotate through 9π radians. Let x be the duration it takes the earth to rotate through 9π radians, then the following proportions hold;
(24/2π radians) = (x/9π radians)
Solving for x;
x = (24/2π radians)*9π radians = 108 hours
C)
If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;
circumference = 2*π*R = π*D
= 7920*3.142
= 24891.43 miles
Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;
(24891.43miles)/(24 hours) = 1037.14 miles/hr
The distance covered by the point in 2 hours will thus be;
1037.14 * 2 = 2074.29 miles
Answer:
x = 145°
Step-by-step explanation:
We know that y = 98°, so we can find ∠DBC:
180°-y = ∠DBC
180°-98° = 82°
We also know that z = 63°, therefore we can apply <u>exterior angle of triangles</u> to find x.
∠DBC + z = x
82°+63° = x
x = 145°
