Answer:
x = 24.99 or 25
Step-by-step explanation:
<em>Using sin to figure out the angle of ABD, we can figure out the angle of CBD by subtracting it from 90°.</em>
sin y = (1/5)
y = 11.54°
90 - 11.54 = 78.46°
<em>Now using Pythagorean Theorem (</em><em>a²+b²=c²</em><em>) we can solve for line BD.</em>
1² + b² = 5²
1 + b² = 25
b² = 24
b = √24
<em>Now we can use tan to figure out the length of segment DC.</em>
tan(78.46) = z/√24
z = 23.99
<em>We can now combine the known length of segment AD and the length of DC to get </em><em>x</em><em>.</em>
1 + 23.99 = 24.99 or <u>about</u> 25.
Answer:
![\[t\leq -13\]](https://tex.z-dn.net/?f=%5C%5Bt%5Cleq%20-13%5C%5D)
Step-by-step explanation:
Given inequality is ![\[−3t\geq39\]](https://tex.z-dn.net/?f=%5C%5B%E2%88%923t%5Cgeq39%5C%5D)
Simplifying:
![\[-t\geq \frac{39}{3}\]](https://tex.z-dn.net/?f=%5C%5B-t%5Cgeq%20%5Cfrac%7B39%7D%7B3%7D%5C%5D)
![\[=>-t\geq13\]](https://tex.z-dn.net/?f=%5C%5B%3D%3E-t%5Cgeq13%5C%5D)
Sign of the inequality changes of making both sides negative.
![\[=>t\leq -13\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Et%5Cleq%20-13%5C%5D)
Hence the solution for the given inequality is represented by
This means that the original inequality will be true only for those values of t which are less than or equal to -13.
Answer:
The equal amount is 525
.
Step-by-step explanation:
Given that,
Eric and his two sister shared amount of money in ratio2:7 respectively.
Amount with Eric = 300
It means,
2x = 300
x = 150
So,
7x = 7(150)
= 1050
As the remaining amount shared equally among the sister. So, the equal amount is 525
.
Answer:
$16.80
Step-by-step explanation:
30% of 24 and the answer is subtracted from $24
Answer:
(3rd listed choice) Paula's notes are incorrect. Step 4a should be "If the result does not define y as a function of x, then f does not have an inverse," and step 4b should be "If the result defines y as a function of x, then f has an inverse."
Step-by-step explanation:
If f(y) = x can be solved for a relation for y that is a function, then f(x) has an inverse. It will be the function defined by y.
