All categories

3 years ago

In ΔUVW, the measure of ∠W=90°, WV = 40, UW = 9, and VU = 41. What is the value of the sine of ∠V to the nearest hundredth?

Mathematics

1 answer:

Likurg_2 [28]3 years ago

7 0

Answer:

∠V = 12.68°

Step-by-step explanation:

In this question, we are tasked with calculating the value of the sine of ∠V to the nearest hundredth

Kindly note that since one of the angles in the triangle equals 90°, then we are dealing with a right-angled triangle.

PLEASE VIEW ATTACHMENT TO SEE THE DIAGRAM OF THE SHAPE

Mathematically, to calculate the sine of an angle in a triangle, the ratio to use is

Sine of an angle = length of side facing angle/length of hypotenuse = opposite/Hypotenuse

From the diagram, we can see that the length of the opposite is 9 while the length of the hypotenuse is 41

Sine V = 9/41

V = arcsin (9/41)

V = arcsin (0.2195)

V = 12.68° to the nearest hundredth

You might be interested in

Which function is best represented by this graph

marishachu [46]

Answer:

y = -2x+4

Step-by-step explanation:

hope this helps

4 0

1 year ago

14 V = bdt. Solve the formula for de

snow_tiger [21]

Answer:

$d=\dfrac{V}{bt}$

Step-by-step explanation:

It is given that,

V = bdt i.e. V is equal to the product of b, d and t

We need to find the formula for d.

Dividing both sides of the given expression by bt

So,

$\dfrac{V}{bt}=\dfrac{bdt}{bt}\\\\d=\dfrac{V}{bt},\ \text{bt in both denominator and numerator cancel out}$

Hence, $d=\dfrac{V}{bt}$ is the value of d.

5 0

3 years ago

Point \blue{A}Astart color blue, A, end color blue is at \blue{(-4, 8)}(−4,8)start color blue, left parenthesis, minus, 4, comma

ASHA 777 [7]

Answer:

The coordinates of point B are (6,7).

Step-by-step explanation:

Given points are

Blue = A(-4,8)

Purple = M(1,7.5)

Green = B

It is given that point M is the midpoint of point A and B.

Let coordinates of points are (a,b).

Midpoint of two points is

$Midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

$M=(\dfrac{-4+a}{2},\dfrac{8+b}{2})$

Coordinates of midpoint are (1,7.5).

$(1,7.5)=(\dfrac{-4+a}{2},\dfrac{8+b}{2})$

On comparing both sides we get

$1=\dfrac{-4+a}{2}\Rightarrow 2=-4+a\Rightarrow a=6$

$7.5=\dfrac{8+b}{2}\Rightarrow 15=8+b\Rightarrow b=7$

Therefore, the coordinates of point B are (6,7).

6 0

3 years ago

Which molecule activates light reactions

natta225 [31]

Answer:

Step-by-step explanation:

The light-dependent reactions use light energy to make two molecules needed for the next stage of photosynthesis: the energy storage molecule ATP and the reduced electron carrier NADPH. In plants, the light reactions take place in the thylakoid membranes of organelles called chloroplasts.

5 0

3 years ago

A) Let f(x) = 4x + 2 and g(x) = 2x^2-4. Find the formula for the composition function gof

ollegr [7]

Answer:

g o f = $g(f(x)) = 32x^2 + 32x + 4$