3 years ago

If Amy has two apples and drops one, how many does she have now?

Mathematics

1 answer:

AURORKA [14]3 years ago

8 0

She still has two since she only dropped it and hasn’t eaten it yet

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Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(1, 0, −1), Q(3, 3, 0), R(3, −3, 0), S(1, −2, 2)

topjm [15]

Answer:

the volume of the parallelepiped is = 36

Step-by-step explanation:

given,

P(1, 0, −1), Q(3, 3, 0), R(3, −3, 0), S(1, −2, 2)

PQ = Q - P = (2, 3, 1)

PR = R - P = (2, -3 , 1)

PS = S - P = (0, -2 , 3)

now volume of parallelopiped

[PQ PR PS] = $\begin{bmatrix}2 & 3 &1 \\ 2 & -3 &1 \\ 0 & -2 &3 \end{bmatrix}$

now calculating determinant of the matrix

= 2 (-9+2) - 3 (6-0) + 1 (-4-0)

= -14 - 18 - 4

= -36

hence , the volume of the parallelepiped is = 36

4 0

2 years ago

The point (4, –3) is on the terminal side of an angle in standard position. Determine the value of r, and the exact value of sin

viva [34]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

A (4 , -3)

r = ?

sin = ?

cos = ?

tan = ?

Process

1.- Plot the point

This point is in the fourth quadrangle

2.- Calculate r

We have the Opposite side and the Adjacent side

tan Ф = -3/4

tan⁻¹ Ф = Ф = 323.1

Ф = 323.1°

3.- sinФ =

Calculate the hypotenuse

c² = 4² + (-3)²

c² = 16 + 9

c² = 25

c = 5

sinФ = -3/5

cos Ф = 4/5

tan Ф = -3/4

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A die has 6 faces numbered 1 to 6.On a single roll of die,find the probability of not getting the number 6

aleksley [76]

Step-by-step explanation:

probability of not getting six=5/6

is your answer

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2 years ago

(5x3)+(nx4)=5(3+4) is what

shepuryov [24]

(5*3)+(n*4)=5(3+4)=?
15+4n=15+20
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4n=20
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3 years ago