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weeeeeb [17]
3 years ago
10

Tom's age is four times that of his sister. When you add Kim's age to her brother's, you get 15. How old are Tom and Kim?

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Answer:

Kim is 3, Tom is 12

Step-by-step explanation:

4x + x = 15

combine like terms

5x = 15

divide both sides by five

x = 3

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A pole is 3.4 m tall casts a shadow that is 1.8 m long. At the same time, a nearby tower casts a shadow that is 39.75 m long. Ho
KATRIN_1 [288]

Answer:

75

Step-by-step explanation:

For this, you need to solve a proportion-

3.4      x

----- = -----

1.8      39.75

3.4*39.75=135.15

135.15/1.8= 75.0833.....

75.0833.. is rounded to 75

7 0
3 years ago
Aditya's dog routinely eats Aditya's leftovers, which vary seasonally. As a result, his weight fluctuates throughout
wariber [46]

Based on the weight and the model that is given, it should be noted that  W(t) in radians will be W(t) = 0.9cos(2πt/366) + 8.2.

<h3>How to calculate the radian.</h3>

From the information, W(t) = a cos(bt) + d. Firstly, calculate the phase shift, b. At t= 0, the dog is at maximum weight, so the cosine function is also at a maximum. The cosine function is not shifted, so b = 1.

Then calculate d. The dog's average weight is 8.2 kg, so the mid-line d = 8.2. W(t) = a cos t + 8.2. Then calculate a, the dog's maximum weight is 9.1 kg. The deviation from the average is 9.1 kg - 8.2 kg = 0.9 kg. W(t) = 0.9cost  + 8.2

Lastly, calculate t. The period p = 2π/b = 2π/1 = 2π. The conversion factor is 1 da =2π/365 rad. Therefore, the function with t in radians is W(t) = 0.9cos(2πt/365) + 8.2.

Learn more about radians on:

brainly.com/question/12939121

7 0
2 years ago
Mr Thompson uses a brace to support a Gate write and solve an equation to find the measure of the unknown angle.
algol [13]
Use the pythagorean theorem (A squared + b squared = c squared
8 0
3 years ago
A length is measured at 21 cm correct to two significant figures, what is the lower bound of the length and upper bound?
Andreyy89

Answer:

20.5 and 21.5

Step-by-step explanation:

It says 2 significant figures so the least it can possibly be is 0.5 less and the most it can be is 0.5 more as if it was, lets say 20.4 it would round down to 20 not 21.

7 0
2 years ago
Quiz 1-2: Distance &amp; Midpoint; Partitioning a Segment
nadya68 [22]

The distances between the given pairs of points are:

  • (-8, -2) and (6, -1);  d = 14.04
  • (-4, 5) and (4,0); d = 9.85
<h3>How to find the distance between two points?</h3>

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

d = √( (x₁ - x₂)^2 - (y₁ - y₂)^2)

1) The first pair of points is (-8, -2) and (6, -1), using the above formula we can see that the distance is:

d = √( (-8 - 6)^2 - (-2 +1)^2) = 14.04

2) The second pair is (-4, 5) and (4,0), and using the distance formula, we get:

d = √( (-4 - 5)^2 - (4 - 0)^2) = 9.85

If you want to learn more about the distance between points:

brainly.com/question/7243416

#SPJ1

3 0
1 year ago
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