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uysha [10]
2 years ago
5

In which triangle is the value of x equal to tan−1(StartFraction 3.1 Over 5.2 EndFraction)? (Images may not be drawn to scale.)

A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle between the 2 sides is x. A right triangle is shown. The length of the hypotenuse is 5.2 and the length of the side adjacent to the right angle is 3.1. The angle opposite to side with length 3.1 is x. A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 5.2 is x. A right triangle is shown. The length of 2 sides are 5.2 and 3.1. The angle opposite to side with length 3.1 is x.

Mathematics
2 answers:
Alborosie2 years ago
5 0

Answer:

It is the last one, D

Step-by-step explanation:

FromTheMoon [43]2 years ago
3 0

Answer:

The angle opposite to side with length 3.1 is x

The triangle in the attached figure

Step-by-step explanation:

we know that

In a right triangle the tangent of an angle x is equal to divide the opposite side to angle x by the adjacent side to angle x

In this problem we have

x=tan^{-1}(\frac{3.1}{5.2})

therefore

opposite side to angle x is 3.1 units

adjacent side to angle x is 5.2 units

The angle opposite to side with length 3.1 is x

see the attached figure to better understand the problem

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Jack's father drives to work in 30 minutes when driving at his usual speed. When traffic is bad, he drives 30 miles per hour slo
weqwewe [10]

Answer:

22.5 miles

Step-by-step explanation:

No traffic :

Let speed = x

Time taken = 30 = 30/60 = 0.5 hour

Speed = distance / time

Distance = d

x = d / 0.5 - - - (1)

With traffic :

Speed = x - 30

Time taken = 1 hour 30 minutes = 1.5 hour

x - 30 = d / 1.5

x = d/1.5 + 30 - - - - (2)

Equating (1) and (2)

d / 0.5 = d/1.5 + 30

d /0.5 - d /1.5 = 30

(1.5d - 0.5d) / 0.75 = 30

1.5d - 0.5d = 22.5

1d = 22.5

Hence,

d = 22.5 miles

6 0
1 year ago
Hitung jarak di antara titik P(7, 1) dengan titik Q(7, 8) ​
MaRussiya [10]

Answer:

7 units

Step-by-step explanation:

Distance between 2 points

=\sqrt{(y1 - y2)^{2}  + (x1 - x2) {}^{2} }

Thus, distance PQ

=\sqrt{(8 - 1)^{2}  + (7 - 7)^{2} }  \\ = \sqrt{7^{2} }  \\  = 7

Or you could simply take 8-1= 7 since both points have the same x-coordinate. Thus, PQ is a vertical line and the distance between them is due to the difference in their y-coordinate.

5 0
1 year ago
5.
andrew-mc [135]

Answer:

The  angle of depression from Platform A to Platform B is 43.1^{\circ}

Step-by-step explanation:

Refer the attached figure

The horizontal distance between the  platforms is 500 feet i.e. BC = 500

The length of the zip-line is 685 feet i.e. AB = 685

We are supposed to find the  angle of depression from Platform A to Platform B

Hypotenuse = 685

Base = 500

Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}

Hence  the  angle of depression from Platform A to Platform B is 43.1^{\circ}

4 0
2 years ago
A restaurant buys 56 pounds of beef at $1.12/pound and 24 quarts of milk at $.90/quart. How much money was spent?
Gre4nikov [31]

Answer:

84.80

Step-by-step explanation: 62.72+22.08=84.80

3 0
2 years ago
Read 2 more answers
Machines A and B always operate independently and at their respective constant rates. When working alone, Machine A can fill a p
pychu [463]

Answer:

The value of x is \frac{10}{3} hours.

Step-by-step explanation:

Machine A = 5 hours

Machine B = x hours

Machine A and B = 2 hours

Using the formula: \frac{T}{A}  + \frac{T}{B} = 1

where:

T is the time spend by both machine

A is the time spend by machine A

B is the time spend by machine B

\frac{2}{5}  + \frac{2}{x}  = 1

Let multiply the entire problem by the common denominator (5B)

5x(\frac{2}{5}  + \frac{2}{x} = 1)

2x + 10 = 5x

Collect the like terms

10 = 5x - 2x

10 = 3x

3x = 10

Divide both side by the coefficient of x (3)

\frac{3x}{3}  = \frac{10}{3}

x = \frac{10}{3} hours.

Therefore, Machine B will fill the same lot in \frac{10}{3} hours.

7 0
1 year ago
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