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3 years ago

If triangle RST is within Quadrant 4 and cos R= √3/2, what is the value of cotR

Mathematics

1 answer:

Nesterboy [21]3 years ago

6 0

Answer:

CotR = -√3

Step-by-step explanation:

In the 4th quadrant, sin is negative;

Since Cos R = √3/2,

Adjacent = √3

Hypotenuse = 2

Get the opposite;

opp^2 = 2^2 -(√3)^2

opp^2 = 4 - 3

opp^2 = 1

Opp = 1

Get sinR

Sin R = opp/hyp

SinR= -1/2

CotR = cosR/sinR

CostR = (√3/2)/(-1/2)

CotR = √3/2* -2/1

CotR = -√3

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Let f(x)=14/7+2e^−0.6x . What is f(3) ? Enter your answer, rounded to the nearest tenth, in the box.

Gelneren [198K]

Answer:

$f(3)=1.9$

Step-by-step explanation:

we have

$f(x)=\frac{14}{7+2e^{-0.6x}}$

we know that

f(3) is the value of the function for the value of x equal to 3

substitute the value of x=3 in the function

$f(3)=\frac{14}{7+2e^{-0.6(3)}}=1.9$

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3 years ago

PLEASE HELP

asambeis [7]

Answer for the first one is just 7/9, 28/36

Second one is 9/14, 3/4

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3 years ago

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are

Galina-37 [17]

Answer:

$B' = (-3,6)$

Step-by-step explanation:

Given

$A(4,5)$

$B(0,5)$

$C(3,-1)$

Translation: 3 units left and 1 unit right

Required

Determine the new coordinates of B

Write out the coordinates of B

$x = 0$

$y = 5$

When a function is shifted to the left, we have to subtract the unit from the x value of the function;

Shifting by 3 units left, the new x becomes

$New\ x = 0 - 3$

$New\ x = -3$

When a function is shifted upward, we have to add the unit to the y value of the function;

Shifting by 1 unit up, the new y becomes

$New\ y = 5 + 1$

$New\ y = 6$

Hence, the new coordinates of B is

$B' = (-3,6)$

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3 years ago

an ice cream shop has a total of 48 flavors of ice cream and toppings. if there are 16 flavors of ice cream, how many toppings c

Tanzania [10]

Answer:

Step-by-step explanation:

There are 48 flavors and toppings. Since 16 are flavors, 32 are toppings. Dividing the 32 topping equally between 8 children is 4 toppings per child.

32 ÷ 8 = 4

3 0

3 years ago

14. Two parallel lines l and m are intersected by a transversal t. If the interior angles on same side of transversal are (2x−8)

nlexa [21]

Answer:

70° and 110°

Step-by-step explanation:

It is given that, two parallel lines l and m are intersected by a transversal t.

The interior angles on same side of transversal are (2x−8)° and (3x−7)°.

We need to find the measure of these angles.

We know that, the sum of interior angles of the same side of the transversal is equal to 180°. So,

(2x−8)° + (3x−7)° = 180°

⇒ 5x-15=180°

⇒5x=180°+15

⇒5x=195

⇒x=39

Put x = 39 in (2x−8)°,

(2x−8)° = (2(39)-8)°

=70°

Again put x = 39 in (3x−7)°,

(3x−7)° = (3(39)-7)°

=110°

So, the measure of these angles are 70° and 110°.

8 0

4 years ago