Answer:
No, it is not a square
Step-by-step explanation:
If one wall is 19", that would mean the wall perpendicular to this wall is also 19" (in fact all of the walls would be 19"!) If this was a square, then the diagonal we draw at 20.62" would serve as the hypotenuse of a right triangle. One wall would serve as a leg, and another wall as another leg. If this is a square, then the Pythagorean's Theorem would be satisfied when we plug in the 2 wall measures for a and b, and the diagonal for c:
We need to see if this is a true statement. If the left side equals the right side, then the 2 legs of the right triangle are the same length, and the room, then is a square.
361 + 361 = 425.1844
Is this true? Does 722 = 425.1844? Definitely not. That means that the room is not a square.
Answer:
∠ WZX = 50°
XW is not an altitude.
Step-by-step explanation:
16. See the attached figure.
XW is the angle bisector of ∠ YXZ, hence, ∠ WXY = ∠ WXZ
Now, given that ∠ YXZ = 8x + 34 and ∠ WXY = 10x - 13
Hence, ∠ YXZ = 2 ∠ WXY
⇒ 8x + 34 = 2(10x - 13)
⇒ 8x + 34 = 20x - 26
⇒ 12x = 60
⇒ x = 5.
Hence, ∠ XZY = ∠ WZX = 10x = 50° (Answer)
Now, ∠ WXZ = ∠ WXY = 10x - 13 = 37°
Hence, from Δ WXZ,
∠ WZX + ∠ WXZ + ∠ XWZ = 180°
⇒ 50° + 37° + ∠ XWZ = 180°
⇒ ∠ XWZ = 93° ≠ 90°
Hence, XW is not an altitude. (Answer)
Answer:
Height of building from base to ladder = 5.8 meter (Approx.)
Step-by-step explanation:
Given:
Length of ladder = 6 meters
Distance of ladder from base = 1.5 meters
Find:
Height of building from base to ladder
Computation:
Perpendicular = √Hypotenuse² - Base²
Height of building from base to ladder = √Length of ladder² - Distance of ladder from base²
Height of building from base to ladder = √6² - 1.5²
Height of building from base to ladder = √36 - 2.25
Height of building from base to ladder = √33.75
Height of building from base to ladder = 5.8 meter (Approx.)
Answer:
B
Step-by-step explanation:
<em>Let 
be the radius of one sphere.</em>
- Volume of sphere is
Since radius is r, the height of the cylinder will be 
Also, the cylinder has the same radius as the sphere:
- Volume of Cylinder is
Plugging in the values we get: 
<u>Ratio of volume of 1 sphere to volume of cylinder is</u>:
The ratio is 1:3
Answer choice B is right.
<h2><u><em>
Answer: 1017.8760</em></u></h2><h2><u><em>
Step-by-step explanation:</em></u></h2><h2><u><em>
area A=πr2
</em></u></h2><h2><u><em>
A=π×182
</em></u></h2><h2><u><em>
A=324π
</em></u></h2><h2><u><em>
A=1017.87602
</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>
also, circumferenceC=2πr</em></u></h2><h2><u><em>
and, diameterd=2r</em></u></h2>
<u><em></em></u>
