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3 years ago

Help with this question, please! I don't understand!

Mathematics

1 answer:

scoray [572]3 years ago

7 0

Answer:

(1, -5); (4, 3)

Step-by-step explanation:

We generally orient maps with north at the top. This problem presumes that orientation along with a grid having units of 1 mile. "Town Center" is taken to be the origin of the grid. As is usually the case, left/right coordinates are indicated first in an ordered pair, with up/down coordinates being indicated second.

Then the warehouse location 8 miles south and 3 miles west of Town Center is considered to have coordinates of (-3, -8). Movement 3 miles north and 4 miles east is considered to be translation by (4, 3). This translation vector is the answer to the second part of the problem.

The answer to the first part of the problem is the sum of the starting position and the translation:

(-3, -8) +(4, 3) = (1, -5)

The truck's final position is (1, -5). The translation vector to get it there is (4, 3).

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Five workers are hired to seed a field by hand. Each is given a plot which is 6x12 feet in size. What is the total area of the f

Lorico [155]

Answer:

360 feet

Step-by-step explanation:

multiple 6 by 12 to get the area of the individual plot of land given to a single worker.

Then multiply by 5 for all 5 workers getting the same plot of land.

3 0

3 years ago

Find 2 ways to make the addition problem H E + M E = W E work

umka21 [38]

E.g.
$10+20=30\\ 50+30=80$

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3 years ago

Select all the conditions for which it is possible to construct a triangle. (7.G.1.2) Group of answer choices a. A triangle with

saw5 [17]

Answer:

b, d, e, f

Step-by-step explanation:

Here are the applicable restrictions:

The sum of angles in a triangle is 180°, no more, no less.
The sum of the lengths of the two shortest sides exceeds the longest side.
When two sides and the angle opposite the shortest is given, the sine of the given angle must be at most the ratio of the shortest to longest sides.

a. A triangle with angle measures 60°, 80°, and 80° (angle sum ≠ 180°, not OK)

b. A triangle with side lengths 4 cm, 5 cm, and 6 cm (4+5 > 6, OK)

c. A triangle with side lengths 4 cm, 5 cm, and 15 cm (4+5 < 15, not OK)

d. A triangle with side lengths 4 cm, 5 cm, and a 50° angle across from the 4 cm side (sin(50°) ≈ 0.766 < 4/5, OK)

e. A triangle with angle measures 30° and 60°, and an included 3 cm side length (OK)

f. A triangle with angle measures 60°, 20°, and 100° (angle sum = 180°, OK)

_____

Additional comment

In choice "e", two angles and the side between them are specified. As long as the sum of the two angles is less than 180°, a triangle can be formed. The length of the side is immaterial with respect to whether a triangle can be made.

The congruence postulates for triangles are ...

SSS, SAS, ASA, AAS, and HL

These essentially tell you the side and angle specifications necessary to define a singular triangle. As we discussed above, the triangle inequality puts limits on the side lengths specified in SSS. The angle sum theorem puts limits on the angles when only two are specified (ASA, AAS).

In terms of sides and angles, the HL postulate is equivalent to an SSA theorem, where the angle is 90°. In that case, the angle is opposite the longest side (H). In general, SSA will specify a singular triangle when the angle is opposite the longest specified side, regardless of that angle's measure. However, when the angle is opposite the shortest specified side, the above-described ratio restriction holds. If the sine of the angle is less than the ratio of sides, then two possible triangles are specified.

4 0

2 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

kramer

Given:

The sequence is:

$16,80,400,...$