MATHEMATICS
MIDDLE SCHOOL

Answer:

answer:

2 / 3

step-by-step explanation:

- you can simply this more

HIGH SCHOOL

(01.07 MC) Distances in space are measured in light-years. The distance from Earth to a star is 4.1 × 1013 kilometers. What is the distance, in light-years, from Earth to the star (1 light-year = 9.46 × 1012 kilometers)?

0.23 light-year

2.36 light-years

4.33 light-years

5.36 light-years

4.33

4.1 × 10^13 / 9.46 × 10^12= 4.33

4.1 × 10^13 / 9.46 × 10^12= 4.33

Answer:

C - 4.33 Light-Years.

MIDDLE SCHOOL

Two forces with magnitudes of 150 and 100 pounds act on an object at angles of 30° and 120°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

Answer:

Resultant = 180.27 pounds

direction is 63.69 degrees

Step-by-step explanation:

We have to resolve the x and y component of both forces with respect to given angles

Fx = 150cos30 +100cos120

= 150(0.866)+100(-0.5) =129.9-50=79.9 pounds

and

Fy= 150sin30+100sin120

= 150(0.5) +100(0.866)= 75+ 86.6 =161.6 pounds

Magnitude of the resultant is =

=

= 180. 27 pounds

Direction of the resultant is given by arctan(

arctan(

=63.69 degrees

Answer:

Step-by-step explanation:

Fx = 150cos30 +100cos120

= 150(0.866)+100(-0.5) =129.9-50=79.9 pounds

and

Fy= 150sin30+100sin120

= 150(0.5) +100(0.866)= 75+ 86.6 =161.6 pounds

The magnitude of the resultant is sqrt of (Fx^2 +Fy^2) which is equal to the sqrt of (79.9)^2+(161.6)^2 = 180.27 lbs

the direction of the resultant is by the given arctan Fy/Fx =arctan 161.6/79.9= 63.69 deg

MIDDLE SCHOOL

What is the discount if a jacket costing $85.00 is on sale for 20% off?

Answer:

68 dollars

Step-by-step explanation:

85.00 times .20=17

85.00-17.00=$68

MIDDLE SCHOOL

Sammy what is 8/x=5/9

Answer:

72/5

Step-by-step explanation:

Multiply both sides of equation by x.

8= 5/9 x

Multiply both sides by 9/5.

8 times 9/5 = x

72/5 = x