Answer:
DE=6.3
Step-by-step explanation:
triangles are similar so, its sides and angles are comgruent.
side BC=side DE
side BC=6.3
side DE=6.3
<h3><u>N</u><u>o</u><u>t</u><u>e</u><u>:</u><u>i</u><u>f</u><u> </u><u>y</u><u>o</u><u>u</u><u> </u><u>n</u><u>e</u><u>e</u><u>d</u><u> </u><u>t</u><u>o</u><u> </u><u>a</u><u>s</u><u>k</u><u> </u><u>a</u><u>n</u><u>y</u><u> </u><u>question</u><u> </u><u>please</u><u> </u><u>let</u><u> </u><u>me</u><u> </u><u>know</u><u>.</u></h3>
If Tim rounded his number to 5.46, the smallest number he could've thought of would be 5.455. This is because if the third decimal digit of a number is five or greater, the second can be rounded up.
I believe this is correct.
In order to make the whole problem easier, you would have to get all the numbers to have the same denominator which would be 60.
1/10 * 6 = 6/60
1/4 * 15 = 15/60
1/5 * 12 = 12/60
2/15 * 4 = 8/60
Now that all the numbers have the same denominator, you would add them to get 41/60.
In conclusion, the answer would be D.
Option C: 0.8889 is the probability of choosing an orange marble and a green marble.
<h2>Given that:</h2>
- Number of red marbles is 5
- Number of orange marbles is 2
- Number of yellow marbles is 1.
- Number of green marbles is 2.
<h2>Explanation and Calculations:</h2>
So there are in total 10 marbles.
Two marbles can be chosen in
ways = 90/8
Now the favorable event is when one green marble and one orange marble is chosen. The number of ways this can be done is 
The resultant probability is calculated by:

Thus the needed probability is 0.08889 given by option C.
Learn more here:
brainly.com/question/13038567
9514 1404 393
Answer:
27.932 in
Step-by-step explanation:
The initial angle (or height) is not shown, so we have assumed it is 30°. The equation for the height of the valve cap can be written as a function of angle:
y = 15.375 +14.5·sin(x +30) . . . . . . where x is in degrees
The angle measured from the +x axis is already 30° when the rotation angle is zero. Evaluating the above equation with x = 390° gives an angle of 420°, or 60° beyond one full rotation.
y = 15.375 +14.5·sin(60°) ≈ 27.932 . . . . inches above the ground.
The valve cap is 27.932 in. above the ground.