Answer:
71 degrees
Step-by-step explanation:
please someone help me with this ASAP especially with the workout!!
From the triangle shown;
YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z
28² = 25² + 23² - 2(25)(23) cos Z
784 = 625 + 529- 1150 cos Z
784 - 1154 = -1150cos Z
-370 = -1150cos Z
cos Z = 370/1150
cos Z = 37/115
cos Z = 0.3217
Z = arccos 0.3217
Z = 71.23
hence the measure of <Z is 71 degrees
Answer:
The length of diagonal d is 14.1421 cm
Step-by-step explanation:
We are given square
Length of side of square = 10 cm
We need to find the length of diagonal d
To find diagonal of square, the formula used is:

where s is length of side of square.
Putting values of s and finding length of diagonal of square

So, The length of diagonal d is 14.1421 cm
Answer:
4.66 (4 2/3, 14/3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The function has a domain x ≥ 5.
This is because the function remains real for (x - 5) ≥ 0 as negative within the square root is imaginary.
Hence, (x - 5) ≥ 0
⇒ x ≥ 5
Now, for all x values that are greater than equal to 5 the value of will be negative.
So,
⇒
⇒ y ≤ 3
Therefore, the range of the function is y ≤ 3. (Answer)
<em>Note: Thanks rani</em>
The Pythagorean theorem is used to find the distance between two points. If that distance is "c", it satisfies the relation
... a² + b² = c²
where "a" and "b" are the horizontal and vertical differences between the point coordinates. Here,
... a = 7 - 3 = 4 . . . . horizontal difference
... b = 12 - 9 = 3 . . . . vertical difference
Then we have
... 4² + 3² = c² = 25
... c = √25 = 5
The length of AB is 5 units.