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)
Answer:
<h2>3x³ + 5</h2>
Step-by-step explanation:
( 4x - 2x³ ) + ( 5x³ - 4x + 5)
<u>Remove the parenthesis</u>
That's
4x - 2x³ + 5x³ - 4x + 5
<u>Group like terms</u>
We have
5x³ - 2x³ + 4x - 4x + 5
We have the final answer as
<h3>3x³ + 5</h3>
Hope this helps you
Answer:
see explanation
Step-by-step explanation:
(8x - 75) and (5x) are vertically opposite angles and are congruent , then
8x - 75 = 5x ( subtract 5x from both sides )
3x - 75 = 0 ( add 75 to both sides )
3x = 75 ( divide both sides by 3 )
x = 25
Then
5x = 5(25) = 125°
8x - 75 = 8(25) - 75 = 200 - 75 = 125°
Answer:
B. 152 + 7
Step-by-step explanation:
(8x + 16) + (7x - 9)
8x + 16 + 7x - 9
15x + 16 - 9
15x + 7
None of these options have this answer, so we see A and B:
A. x + 7
B. 152 + 7
It can't be A because we have 15x and A is x + 7
By process of elimination we have B. 152 + 7
x = 10 and 2/15
Answer:
$5.00
Step-by-step explanation:
It doesn't say his money has changed so it is still $5.00
