Answer:
<h3><u>Firs</u><u>t</u><u> </u><u>q</u><u>uestion</u></h3>
To find ? we use sine
sin ∅ = opposite / hypotenuse
From the question
The hypotenuse is 50
The opposite is 25
So we have
sin ? = 25 / 50
sin ? = 1/2
? = sin-¹ 1/2
<h2>? = 30°</h2>
<h3><u>Sec</u><u>ond</u><u> </u><u>q</u><u>uestion</u></h3>
To find ? we use tan
tan ∅ = opposite / adjacent
From the question
the opposite is 8
the adjacent is 33
So we have
tan ? = 8/33
? = tan-¹ 8/33
? = 13.62
<h3>? = 14° to the nearest degree</h3>
Hope this helps you
Answer:
-0.25
Step-by-step explanation:
→ Find fg(x)
2 ( x + 1 )² = 2x² + 4x + 2
→ Find gf(x)
2x² + 1
→ Equate them
2x² + 1 = 2x² + 4x+ 2
→ Move everything to the right hand side
0 = 4x + 1
→ Solve
x = -0.25
We can solve this problem by using the distance formula. The distance formula is:
We can now put in values and solve.

Answer:

Step-by-step explanation:
<u>Given that:</u>
ΔUVW,
Side w = 44 cm, (It is the side opposite to
)
Side u = 83 cm (It is the side opposite to
)
and ∠V=141°
Please refer to the attached image with labeling of the triangle with the dimensions given.
Area of a triangle with two sides given and angle between the two sides can be formulated as:

Where a and b are the two sides and
is the angle between the sides a and b
Here we have a = w = 44cm
b = u = 44cm
and ∠C= ∠V=141
Putting the values to find the area:

So, the <em>area </em>of given triangle to the nearest square centimetre is:

The first step for solving this expression is to reduce the fraction with 11.

Now reduce the fraction with

.

Reduce the fraction one more time with

.

To take the root of a fraction,, we must take the root of the numerator and denominator separately. This rule will change the expression to the following:

Since we cannot simplify this fraction any further,, the final answer is going to be

.
Let me know if you have any further questions.
:)