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Charra [1.4K]
2 years ago
15

An angle passes through the point (-7,-5). What is the compass heading of this angle?

Mathematics
1 answer:
umka21 [38]2 years ago
3 0
To find the angle use arc tan (-5/-7) which simplifies tips arctan(5/7). arc tan is tan to the power -1, which is also called inverse tan. The heading of the angle, if you drew this out on a graph your angle would be in the third quadrant and therefore the heading is south of west.
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Talia is packing a moving box. She has a square-framed poster with an area of 4 square feet. The cube-shaped box has a volume of
yan [13]

Answer:

Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

Step-by-step explanation:

In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:

Area of poster = 4 square feet

Area of poster =  (Length)²

4 = (Length)²

∴ Length = √(4)

Length of poster = 2 Ft

Volume of box = 14 cubic feet

Volume of box = (Length)³

14 = (Length)³

∴ Length = ∛(14)

Length = 2.41 Ft

∴ Length of sides of poster = 2 Ft

Length of sides of box = 2.41 Ft

Since the box has a longer side than the poster, the poster will lie flat when placed in the box.

3 0
2 years ago
A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price.The customer was charged a 7%
Tems11 [23]

Answer:

The customer's total cost for the DVD is $19.26

Step-by-step explanation:

Store buy the dvd for $12.00.

The store price is $12.00+50% more

The store price= $12.00 *(1+0.5)= $18.00

Final price (tax added)= $18.00 + 7%

Final price= $18.00 * (1 + 0.07)= $19.26

3 0
2 years ago
Read 2 more answers
Eric has two dogs. He feeds each dog 250 grams of dry food each, twice a day. If he buys a 10-kilogram bag of dry food, how many
viktelen [127]
It will last around 10 days
8 0
2 years ago
Read 2 more answers
In circle N, KL ≅ ML. Circle N is shown. Line segments N J, N M, N L, and N K are radii. Lines are drawn to connect each point o
Sergeu [11.5K]

Answer:

arc\ JM=132^o

Step-by-step explanation:

The picture of the question in the attached figure

step 1

we know that

arc\ JM+arc\ ML+arc\ LK+arc\ KJ=360^o ----> by complete circle

substitute the given values

(13x+2)^o+(8x-3)^o+(7x+7)^o+(5x+24)^o=360^o

solve for x

(33x+30)^o=360^o\\33x=360-30\\33x=330\\x=10

step 2

Find the measure of arc JM

arc\ JM=(13x+2)^o

substitute the value of x

arc\ JM=(13(10)+2)^o=132^o

8 0
2 years ago
Read 2 more answers
The step function f(x) is graphed. On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The l
Sophie [7]

Answer:

b. -1

Step-by-step explanation:

(-3,-3) to (-1,-3)

(-1,-3+2) to (-1+2,-3+2)

(-1,-1) to (1,-1)

Since the left/lower end of the domain is included, f(-1) is -1

4 0
2 years ago
Read 2 more answers
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