All categories

3 years ago

In ΔDEF, what is sin D, in simplified form?

Mathematics

2 answers:

Igoryamba3 years ago

5 0

Answer: second option.

Step-by-step explanation:

You must apply $sin\alpha=\frac{opposite}{hypotenuse}$

Then, given the right triangle and the angle D, the opposite side and the hypotenuse of the triangle are the following:

$opposite=20\\hypotenuse=25$

Therefore, when you substitute values, you have:

$sinD=\frac{20}{25}$

Reduce the fraction, then you obtain:

$sinD=\frac{4}{5}$

RUDIKE [14]3 years ago

5 0

Answer:

The correct answer is second option

Sin D = 4/5

Step-by-step explanation:

Trigonometric ratio

Sinθ = Opposite side/Hypotenuse

From the figure we can see a right angled triangle DEF

Right angled at F and ED is the hypotenuse

To find the simplified form of Sin D

Sin D = Opposite side/Hypotenuse

= 20/25 = 4/5

Therefore the value of Sin D = 4/5

The correct answer is second option

You might be interested in

Which of the folowing is equal to 7 1/3

Romashka-Z-Leto [24]

Answer:

22/3

Step-by-step explanation:

Make the whole number turn into a fraction, (21/3) and add the numerator (1/3), which the answer would be 22/3

7 0

3 years ago

The fare for an Uber is $5 per trip plus $0.50 per mile. The fare for the trip from the airport to the school center was $11.50.

Vinvika [58]

Answer:

13 miles

Step-by-step explanation:

The fare for the Uber

Cost= 5+ .5 m

where m is the number of miles

We spent 11.50

11.50 = 5 + .5 m

Subtract 5 from each side

11.5 -5 = 5+.5m -5

6.50 = .5 m

Divide by .5 on each side

6.5/.5 = .5m/.5

13 = m

We went 13 miles

6 0

3 years ago

F(t)=t^2+19t+60 What are the zeros of the function and what is the vertex of the parabola?

SVEN [57.7K]

Answer: $-4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

Step-by-step explanation:

Given

Function is $F(t)=t^2+19+60$

Zeroes of the function are

$t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15$

Using completing the square method

$y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

4 0

3 years ago

The question is...................

Norma-Jean [14]

B is dilated by a factor of 5

5 0

3 years ago

A pile of sand has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circu

xenn [34]

Answer:

The area of tarpaulin is 1315.63 ft^2.

Step-by-step explanation:

height, h = 20 feet

circumference, C = 102 feet

Let the radius is r.

Circumference, C = 2 x 3.14 x r = 102

r = 16.24 feet

Let the slant height is L.

$L = \sqrt{h^2 + r^2}\\\\L = \sqrt{20^2 + 16.24^2}\\\\L = 25.8 ft$

The curved surface area is

S = 3.14 x r x L

S = 3.14 x 16.24 x 25.8 = 1315.63 ft^2

4 0

3 years ago