Answer:
You he length of the rectangle is:
155 cm
The magnitude of vector (-7,-5) =
=

<span>vector as the sum of unit vectors = -7 i - 5 j</span>
Answer:- B. No, because the corresponding congruent angles listed are not the included angles.
Explanation:-
Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD.
Now, look at the attachment
We can see that ∠X and ∠C are not included angles by the corresponding equal sides.
⇒ We cannot use SAS postulate to show ΔWXY ≅ ΔBCD .
⇒ B is the right option.
SAS postulate tells the if two sides of a triangle and their included angle is equal to the two sides of a triangle and their included angle of another triangle then the two triangles are congruent.
Answer:
f(-2) = -3
Explanation:
Not sure if those last couple numbers are answer choices, but I'm going to infer that they might be.
Twenty four over the quantity of 3 x minus two in standard form is:
f(x) = <span>24<span>3x−2</span></span>
Since the number in the ( ) = x, plug in for x using f(-2)
<span>24<span>3∗<span>(−2)</span>−2</span></span>
P E {M D} {A S} for where to solve first
Multiply the 3 and (-2):
<span>24<span>−6−2</span></span>
Add -6 and -2:
<span>24<span>−8</span></span>
Divide the rest:
f(-2) = -3
The shape of the water is that of a "spherical cap." The formula for the volume of a spherical cap is ...
... V = π·h²·(r -h/3) . . . . . . . from web search
For a radius of 5 in, this is
... V = π·h²·(5 -h/3) . . . . in³
_____
For h=0
... V = π·0²·(5 -0/3) = 0
For h=5 in
... V = π·(5 in)²·((5 -5/3) in) = (2/3)π·5³ in³ . . . . . the volume of a hemisphere of radius 5