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Mama L [17]
3 years ago
10

The hypotenuse of a right triangle measures 10 inches and the side opposite to <0 one of the non right angles is 5 inches lon

g
The measure of <0 is
30
45
60
90
?

Mathematics
1 answer:
AfilCa [17]3 years ago
5 0
Sin = Opposite/ Hypotenuse
Sin (theta)= 5/10
Sin^-1(5/10)=30
theta=30
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Please help
denpristay [2]

9514 1404 393

Answer:

  • 260 miles
  • $73.80

Step-by-step explanation:

The cost of each plan (y) is the sum of the initial fee and the product of the mileage charge and the number of miles (x).

First Plan: y = 40 +0.13x

Second Plan: y = 53 +0.08x

__

We can find when the costs are the same by solving this system of equations. A way to do that is to subtract the second equation from the first:

  (y) -(y) = (40 +0.13x) -(53 +0.08x)

  0 = -13 +0.05x

Multiplying by 20 gives ...

  0 = -260 +x

Adding 260, we have ...

  x = 260

The plans cost the same for 260 miles of driving.

__

The cost of the plans for that distance is ...

  y = 40 +0.13x = 40 +0.13(260) = 40 +33.80

  y = 73.80

The cost when the two plans cost the same is $73.80.

8 0
2 years ago
14. Two line segments are congruent if they have........... length.
LenaWriter [7]
The same length, if something is congruent it means they’re the same
4 0
2 years ago
What is the smallest number by which 256 may be divided so that the quotient is perfect cube? (A) 2 (B) 3 (C) 4
densk [106]

Answer:

A.2

Step-by-step explanation:

4 0
2 years ago
The length of a rectangle is 12 in and the perimeter is 56 what us the width of the rectangle
Aleks [24]
Hi there!

We can find the perimeter of a rectangle by using the following formula:

perimeter = 2 × width + 2 × length

In the question, we are given the following data: the length of the rectangle is 12 in and the perimeter is 56. Let's substitute this into our formula!

56 = 2 × width + 2 × 12
Multiply first.

56 = 2 × width + 24
Now subtract 24 from both sides.

32 = 2 × width
And finally, to find the width of the rectangle, divide both sides of the equation by 2.

16 = width
(we can eventually switch sides in the equation).

width = 16
~ Hope this helps you!
3 0
2 years ago
Use the diagram that awnser the questions.
CaHeK987 [17]
Part A
 The first thing we must do in this case is to hide the slopes of each line.
 line m:
 m = (- 4-3) / (0 - (- 4))
 m = -7 / 4
 Line n:
 n = (- 2-2) / (3-1)
 n = -4 / 2
 n = -2
 Answer:
 Lines m and n are not parallel because their slopes are different.

 Part B:
 
We look for the slope of the K line:
 k = (1 - (- 3)) / (4 - (- 3))
 k = 4/7
 We observe that it is true that:
 k = -1 / m
 Answer: 
 The lines are perpendicular.
8 0
3 years ago
Read 2 more answers
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