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sashaice [31]
3 years ago
9

1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 24. How old is each

Mathematics
1 answer:
Andre45 [30]3 years ago
5 0

Answer:

a) Let Kim's age be k, then Kim's sister's age is k/2

k+\frac{k}{2}=24

b) k+\frac{k}{2}=24

1\frac{1}{2}k=24

k=16

\frac{k}{2}=8

Kim's age is 16 while her sister's age is 8.

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KATRIN_1 [288]
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Jerry ordered 4 items online. He is charged $2.91 per pound for shipping. The items weighed 4.3 pounds, 2 pounds, 3.8 pounds, an
LiRa [457]

Answer:

46.56 pounds

Step-by-step explanation:

Given data

4.3 pounds

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Let us find the total weight of all the items

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We are told that he is charged $2.91 per pound for shipping

Hence the cost of shipping 16 pounds is

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3 years ago
URGENT!!!The number of questions on a math test is represented (3x+1). The number of questions on a spelling test is represented
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(3x+1)-(x+12)

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5 more questions
7 0
2 years ago
5. If position of object x = 3 sinΘ – 7 cosΘ then motion of object is bounded between position.​
lesya692 [45]

9514 1404 393

Answer:

  ±√58 ≈ ±7.616

Step-by-step explanation:

The linear combination of sine and cosine functions will have an amplitude that is the root of the sum of the squares of the individual amplitudes.

  |x| = √(3² +7²) = √58

The motion is bounded between positions ±√58.

_____

Here's a way to get to the relation used above.

The sine of the sum of angles is given by ...

  sin(θ+c) = sin(θ)cos(c) +cos(θ)sin(c)

If this is multiplied by some amplitude A, then we have ...

  A·sin(θ+c) = A·sin(θ)cos(c) +A·cos(θ)sin(c)

Comparing this to the given expression, we find ...

  A·cos(c) = 3   and   A·sin(c) = -7

We know that sin²+cos² = 1, so the sum of the squares of these values is ...

  (A·cos(c))² +(A·sin(c))² = A²(cos(c)² +sin(c)²) = A²(1) = A²

That is, A² = (3)² +(-7)² = 9+49 = 58. This tells us the position function can be written as ...

  x = A·sin(θ +c) . . . . for some angle c

  x = (√58)sin(θ +c)

This has the bounds ±√58.

3 0
3 years ago
Rationalize the denominator 1/root 2+1
Nina [5.8K]

Answer:

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