Answer:
5.4 m
Step-by-step explanation:
The Pythagorean theorem tells you the relationship between the various lengths is ...
cd² = ac² +ad²
cd² = (2.4 m)² + (1.8 m)² = 9.00 m²
cd = √(9.00 m²) = 3.0 m
Since cd = cb and ab = ac+cb, we have ...
ab = 2.4 m + 3.0 m = 5.4 m
_____
You may recognize this as a 3-4-5 right triangle with a scale factor of 0.6. We are asked for the sum of the lengths of the "4" and "5" legs, which is ...
0.6·(4+5) = 5.4
Rotation 90° translates (x, y) to (-y, x). Thus (3, 2) gets translated to (-2, 3). Your green box gets filled with -2.
I don’t really understand but this are the answer for both the first one: x>-2 second: x<-2
Answer:
420.9
Step-by-step explanation:
420.86827 ≈ 420.9 because we need to round to one decimal place.
Since 6 is greater than 5, we round 8 up to make it 9
420.9
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-Chetan K
Answer:
- PS = 3
- SR = 3
- PQ = √29
- QR = √29
- kite
Step-by-step explanation:
A quadrilateral with perpendicular diagonals, one of which is a line of symmetry, is a <em>kite</em>.
Perhaps a more conventional definition of a kite is that it is a quadrilateral with two pairs of congruent adjacent sides.
<h3>1, 2)</h3>
The lengths PS and SR can be found by counting grid squares along the line segments. Each has a length of 3. They constitute one pair of congruent adjacent sides.
PS = SR = 3
__
<h3>3, 4)</h3>
The lengths of PQ an QR can be found using the distance formula. Essentially, it uses the Pythagorean theorem to compute the hypotenuse of a right triangle whose legs are the differences in x- and y-coordinates. For PQ and QR, those differences are 2 and 5, so the lengths of those segments are √(2² +5²) = √29.
PQ = QR = √29
__
<h3>5)</h3>
The figure has two pairs of congruent adjacent sides, so is a <em>kite</em>.
