Answer:
x = 7.9
Step-by-step explanation:
Given:
Angle - 44
Hypotenuse - 11 ft
adjacent side - x
having adjacent and hypotenuse use Cosine to solve the problem from
S-oh C-ah T-oa
cos (angle) = adjacent / hypotenuse
**Make sure your calculator is in degree mode**
cos 44 = x/11
if you cross multiply, you get
11 cos 44 = x
or to solve for x you would multiply both sides by 11 and get
11 cos 44 = x
x = 7.9
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
<h3>How to determine the angles of a triangle inscribed in a circle</h3>
According to the figure, the triangle BTC is inscribed in the circle by two points (B, C). In this question we must make use of concepts of diameter and triangles to determine all missing angles.
Since AT and BT represent the radii of the circle, then the triangle ABT is an <em>isosceles</em> triangle. By geometry we know that the sum of <em>internal</em> angles of a triangle equals 180°. Hence, the measure of the angles A and B is 64°.
The angles ATB and BTC are <em>supplmentary</em> and therefore the measure of the latter is 128°. The triangle BTC is also an <em>isosceles</em> triangle and the measure of angles TBC and TCB is 26°.
By geometric and algebraic properties the angles BTC, TBC and TBC from the triangle BTC are 128°, 26° and 26°, respectively.
To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/2773823
(2x-6) + 4(x-3) {distribute 4 out and expand problem}
2x+6+4x-12 {combine like terms}
6x-6 {your answer}
Answer:
The answer is 2.4 Miles per hour
Step-by-step explanation:
15.12 divided by 6.3= 2.4 MPH
<span>57 boxes of detergent on the shelves in 2 minutes
</span><span>After 5 minutes, he had put 117 boxes on the shelves
117 - 57 = 60 (60 </span>boxes of detergent for 3 minutes)
60/3 = 20 (20 boxes of detergent per minute)
so
20 x 5 = 100 boxes of detergent
117 - 100 = 17 boxes
answer
17 boxes of detergent <span>were on the shelves when he started</span>
