Answer:
djg
Step-by-step explanation:
mdfgndajfghladjfghadjkfghdafjkkkkkkhkljsfjlk;dsajlkdsajlksdaljkdfjlksdajdkljlsdkjlksdljakljkfsdjlsdljksfadjfas;lkdfj;lksjf;ksjfksajdfsakdjf;laskjfkadj;fsfj
Answer:
The angle W is approximately 7°.
Step-by-step explanation:
Since angle X is adjacent to sides y and w and opposite to side x, we calculate the length of side x by Law of the Cosine:
(1)
Where:
- Side lengths, in centimeters.
- Angle, in sexagesimal degrees.
If we know that 
, 
and 
, then the length of the side x is:
By Geometry we know that sum of internal angles in a triangle equals 180°. If X is an obtuse, then Y and W are both acute angles. By Law of the Sine we find angle W:
(2)
![W = \sin^{-1}\left[\left(\frac{w}{x} \right)\cdot \sin X\right]](https://tex.z-dn.net/?f=W%20%3D%20%5Csin%5E%7B-1%7D%5Cleft%5B%5Cleft%28%5Cfrac%7Bw%7D%7Bx%7D%20%5Cright%29%5Ccdot%20%5Csin%20X%5Cright%5D)
If we know that , and , then the angle W is:
Hence, the angle W is approximately 7°.
F=ma
F=37kg*9.8m/s^2
F=362.6 N
Answer:
8.8 Minutes or 528 Second.
Step-by-step explanation:
↓[ Read Below ]↓
Important Info:
Leslie Ran 3 Mile Race.
2nd Mile = 10% longer than 1st and 3rd Miles took her 24s longer than 2nd Mile
Question to Answer:
Leslie’s total time for the race was 26 minutes how long did the second mile take her?
Explanation/Solution:
Let for first mile, she took x minutes . And second mile took her 10 percent longer, so second mile took
x+ 10/100x = 110/100x=1.1x
And the third mile took 24 seconds longer as compared to second mile .
So third mile took
1.1x+24/60 = (1.1x+0.4) Minutes
And the total time for the race was 26 minutes, that is
x+1.1x+1.1x+0.4=26
3.2x=26-0.4
3.2x=25.6
x= 25.6/3.2 = 8 Minutes
So the first mile took 8 minutes. And therefore second mile took
= 1.1 (8) = 8.8 Minutes
Also Equal to 528 Second.
[RevyBreeze]
Answer:
x + 96 = 90°
x + 89 = 80°
Step-by-step explanation:
<u>Consecutive Interior Angles Theorem</u>
When a transversal line intersects two parallel lines, it forms two pairs of consecutive angles on either side of the transversal line. Each pair of consecutive interior angles are supplementary (sum to 180°).
<u>Question 1</u>
To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 96)° + (x + 96)° = 180°
⇒ x + 96 + x + 96 = 180
⇒ 2x + 192 = 180
⇒ 2x + 192 - 192 = 180 - 192
⇒ 2x = -12
⇒ 2x ÷ 2 = -12 ÷ 2
⇒ x = -6
Substitute the found value of x into the expression to find the measure of the angle indicated in bold:
⇒ x + 96 = -6 + 96 = 90°
<u>Question 2</u>
To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 109)° + (x + 89)° = 180°
⇒ x + 109 + x + 89 = 180
⇒ 2x + 198 = 180
⇒ 2x + 198 - 198 = 180 - 198
⇒ 2x = -18
⇒ 2x ÷ 2 = -18 ÷ 2
⇒ x = -9
Substitute the found value of x into the expression to find the measure of the angle indicated in bold:
⇒ x + 89 = -9 + 89 = 80°
