All categories

3 years ago

I need help fast plss

Mathematics

1 answer:

Marysya12 [62]3 years ago

3 0

Answer:

a = 1√6

b = -2

Step-by-step explanation:

Hello,

To solve this trigonometric problem, we need to convert this values into fractions

a).

Sin45° = 1/√2

cos30° = √3/2

Sin60° = √3/2

Sin45° / (cos30° + sin60°) = [(1/√2) ÷ (√3/2 + √3/2)]

(1/√2) ÷ (√3/2 + √3/2)

Add √3/2 + √3/2

1/√2 ÷ 2√3/2

1/√2 × 2/2√3

2/2√(2×3)

2/2√6

1/√6

Cos 180° = -1

Sin150° = ½

Tan135° = -1

2cos180° - 2sin150° - tan135°

(2 × -1) - (2×½) - (-1)

-2 - 1 + 1 = -2

You might be interested in

Which graph represents this function f(x)=1/2x-5

Readme [11.4K]

Answer:

The first graph(Left)

Step-by-step explanation:

Because in this form 1/2 is the slope and -5 is the y intercept.

7 0

2 years ago

Read 2 more answers

A private airplane leaves an airport and flies due east at 192 km/hr. Two hours later, a jet leaves the same airport and flies d

elixir [45]

The answer is 0.5 hours.

A velocity (v) of an object is a distance (d) divided by time (t):
v = d ÷ t ⇒ t = d ÷ v

It is given:
v1 = 192 km/h
v2 = 960 km/h
t1 - t2 = 2h
We need to calculate t2.

Since they will travel the same distance before the jet overtakes the plane, we can say that d1 = d2 = d

Now, let's express t1 and t2:
t1 = d/192
t2 = d/960

Therefore: d/192 - d/960 = 2
The least common denominator is 960, so:
5d/960 - d/960 = 2
4d/960 = 2
4d = 2 · 960
4d = 1920
d = 1920 ÷ 4 = 480 km

Now t2 = d/960 = 480/960 = 0.5 hours.

5 0

3 years ago

A flock of geese is flying north for the summer while a bird watcher is observing. He notices that they are flying in the shape

nata0808 [166]

Answer:

y = -¼│x − 5│+ 3

Step-by-step explanation:

y = a│x − h│+ k

(h, k) is the vertex of the absolute value graph. In this case, it's (5, 3).

y = a│x − 5│+ 3

One point on the graph is (1, 2). Plug in to find the value of a.

2 = a│1 − 5│+ 3

2 = 4a + 3

a = -¼

Therefore, the graph is:

y = -¼│x − 5│+ 3

4 0

3 years ago

Solve this system of linear equations. separate the x- and y- values with a coma. -12x=-75-11y

ycow [4]

Solve the following system:
{-12 x = -11 y - 75 | (equation 1)
{-5 x = -11 y - 89 | (equation 2)
Express the system in standard form:
{-(12 x) + 11 y = -75 | (equation 1)
{-(5 x) + 11 y = -89 | (equation 2)
Subtract 5/12 × (equation 1) from equation 2:
{-(12 x) + 11 y = -75 | (equation 1)
{0 x+(77 y)/12 = (-231)/4 | (equation 2)
Multiply equation 2 by 12/77:
{-(12 x) + 11 y = -75 | (equation 1)
{0 x+y = -9 | (equation 2)
Subtract 11 × (equation 2) from equation 1:
{-(12 x)+0 y = 24 | (equation 1)
{0 x+y = -9 | (equation 2)

Divide equation 1 by -12:
{x+0 y = -2 | (equation 1)
{0 x+y = -9 | (equation 2)
Collect results:
Answer: {x = -2 {y = -9

please note that the parentheses "{" should span over both equations but the editor doesn't allow that so I should it on both line, See attached example.

4 0

3 years ago

List down three angles formed when a transversal intersects the two lines

aleksley [76]

Answer:

The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior angles, consecutive exterior angles, corresponding angles, and alternate angles.

8 0

2 years ago