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3 years ago

use vectors to decide whether the triangle with vertices p(1,-3,-2), Q(2,0,4), R(6,-2,-5) is right-angled.

1 answer:

4 0

The direction vectors for the three sides are given by the differences in the vertices, not the vertices themselves. So consider the vectors
P−Q,P−R,Q−RP−Q,P−R,Q−Rand see whether any of these are orthogonal.

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Help me with this please

Tcecarenko [31]

Answer:

It would be -13

Step-by-step explanation:

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3 years ago

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The function f(x) = –16x2 + 64x + 200 models the height of a model rocket, f(x), in feet, x seconds after it was launched. After

nasty-shy [4]

The answer would be c I know cause I got it right on the test!

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What is 2/3 of 6 gallons

riadik2000 [5.3K]

$6* \frac{2}{3} = \frac{12}{3} =4$

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4 years ago

Two guy wires support a cell tower. Both guy wires touch the ground in the same place, 14.5 m away from the base of the tower. O

dalvyx [7]

Ok, so.

You first need to find the height of the shorts guy's setup. We know that the length of the base is 14.5, and that theta is 46 degrees. The opposite side equals tan46 * 14.5, which is 14.935. 14.935 is the height of the short guy's height. Now onto the other dude. We know that the height of his setup is 4.2 more than the shorts guy, which is equal to 19.13. Finally, to find the angle, theta, of the second guy, we take 19.13 / 14.5 and then take the inverse tangent of that number (1.31) which equals approximately 52.6 degrees.

4 0

3 years ago

The area of an isosceles trapezoid is 45 cm2 and its height is 5 cm. Find the perimeter if one of the legs is 2 3 of the sum of

eduard

Answer:

Step-by-step explanation:

The formula for determining the area of a trapezoid is expressed as

Area = 1/2(a + b)h

Where

a and b are the length of the 2 parallel sides or bases of the trapezoid. Since it is an isosceles trapezoid, then the length of the 2 legs are equal.

h represents the height of the trapezoid.

From the information given,

Area = 45cm²

h = 5 cm

45 = 1/2(a + b)5

2 × 45 = 5(a + b)

90 = 5(a + b)

a + b = 90/5 = 18

if one of the legs is 2/3 of the sum of the bases, it means that the height of each leg is

2/3 × 18 = 12 cm

The length of both legs is

12 × 2 = 24 cm

The perimeter of the trapezoid is

Sum of bases + sum of legs

Therefore,

Perimeter = 18 + 24 = 42 cm

7 0

3 years ago