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umka2103 [35]
3 years ago
7

Find tan theta if theta is an angle in standard position and the point with coordinates (4,3) lies on the terminal side of the a

ngle
Mathematics
1 answer:
Karolina [17]3 years ago
8 0

Answer: 0.75

Step-by-step explanation:

We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.

We now have a triangle with the values of:

x = 4

y =3

h^2= 4^2 + 3^2

h^2 = 16 + 9

h^2 = 25

h = 5

h = 5

Tangent = opposite/adjacent

= y/x

= 3/4

= 0.75

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Which of the following statements about the picture is true
Contact [7]

Answer:

  (c)  Point A is not on a bisector

Step-by-step explanation:

The figure shows you AR > AT. Since AX is the same for both triangles, angle AXR must be greater than angle AXT. This means AX is not the bisector of angle X.

Since AT is perpendicular to XT, it cannot be the perpendicular bisector of XT. That bisector will intersect XT at its midpoint, not its end.

The marked distances show you that A is different distances from T and R.

The only statement that makes any sense is ...

  Point A is not on a bisector.

7 0
2 years ago
​ g(x)=−20−3x h(x)=( 2 1 ​ ) x ​ Evaluate. (g\circ h) (-2)=(g∘h)(−2)=left parenthesis, g, circle, h, right parenthesis, left par
malfutka [58]

Answer:

ion

Step-by-step explanation:

6 0
2 years ago
A submarine is descending to examine the seafloor 2,100 feet below the surface. it takes the submarine 2 hours to make this desc
Andrej [43]

Answer:

Step-by-step explanation:

x = time

y = elevation

At x = 0  ,  y  = 0

It takes the submarine 2 hours to make descent of 2100 ft

=> x = 2 , y  = - 2100

Slope = ( -2100 - 0)/(2 - 0)  =  -1050

y - 0 = -1050 ( x -0)

=> y = -1050x

1050x  + y = 0

represent the relationship between the submarine's elevation and time.

3 0
1 year ago
Tanya has a garden with a trench around it. The garden is a rectangle with width 2 1/2 m and length 2 m. The trench and garden t
vichka [17]

Answer:

The area of a trench is 5.5 m² .

Step-by-step explanation:

Formula

Area of a rectangle = Length × Breadth

As given

Tanya has a garden with a trench around it.

The\ garden\ is\ a\ rectangle\ with\ width\ 2\frac{1}{2}\ m\ and\ length\ 2\ m.

i.e

The\ garden\ is\ a\ rectangle\ with\ width\ \frac{5}{2}\ m\ and\ length\ 2\ m.

Put in the above formula

Area\ of\ garden = \frac{5\times 2}{2}

                             = 5 m²

As given

The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ 3 \frac{1}{2}\ m\ and\ length\ 3 m.

i.e

The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ \frac{7}{2}\ m\ and\ length\ 3 m.

Area\ of\ garden\ with\ trench = \frac{7\times 3}{2}

Area\ of\ garden\ with\ trench = \frac{21}{2}

                                                  = 10.5 m²

Area of the trench = Area of garden with trench - Area of garden

Put the value in the above

Area of the trench = 10.5 m² - 5 m²

                               = 5.5 m ²

Therefore the area of a trench is 5.5 m² .


5 0
3 years ago
Read 2 more answers
Please help, will mark brainliest!
sashaice [31]
The second option , s = 74 - 33
6 0
2 years ago
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