Answer: X = 44.4 degrees
Step-by-step explanation: The figure given is a right angled triangle with two sides given as well as one angle unknown.
Angle X, which is the unknown, is the reference angle in this question. So we have an opposite which is the side facing the reference angle (line 7 units) and we have an hypotenuse which is the side facing the right angle (line 10). Having an opposite and an hypotenuse, we can use the trigonometric ratio of sine.
SinX = opposite/hypotenuse
SinX = 7/10
SinX = 0.7000
Looking up a table of values or checking the calculator, 0.7000 under sine of angles gives 44.4270
Therefore angle X is approximately 44.4 degrees (approximated to the nearest tenth)
6x+1 = 12x because the Z angles are the same
Solve this and you get:
1 = 12x - 6x => x = 1/6
Answer:
ok, $65+$50+$8=123
Step-by-step explanation:
QUESTION 1
The dimensions of the rectangular blanket are;

and

The perimeter is given by,

We substitute the dimensions to obtain,

Expand bracket to get,

This simplifies to

QUESTION 2
When

The perimeter becomes



QUESTION 3
Area is given by


We expand to get,

This gives us,

QUESTION 4
If

Then the area becomes,




QUESTION 5.
When the length of the blanket is 5cm longer, then the length of the new blanket becomes


The width is still

The perimeter of the new blanket is

This implies that,


Comparing to the old perimeter which is

,
The perimeter changes by 10 units