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2 years ago

When Justin was born, he was 45.7 cm long. Now he is

Mathematics

1 answer:

Svet_ta [14]2 years ago

7 0

1.)182.8 cm tall
2.) he might be 10 years old because the height in centimeters converted into feet is 4.9

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It should take 5.22 minutes to clean a shower. You have 5 showers that need to be cleaned. How many minutes should it take for y

Pavlova-9 [17]

It will take 26.1 minutes because 5.22x5 is equal to 26.1

8 0

2 years ago

Find the range of possible values for the following measurements, which were rounded to the nearest mm, tenth of m, and hundredt

zmey [24]

The required range of the data is 24mm

The range of data is the difference between the largest value and the least value in a set of data.

Since we are not given the range of data. Let's assume we gave the following data:

34mm, 30mm, 20mm, 44mm, 31mm

From the data

Highest measurement = 44mm

Least measurement = 20mm

Find the range

Range = Highest measurement - Least measurement

Range = 44mm - 20mm

Range = 24mm

Hence the required range of data is 24mm

NB: The concept can be applied to any set of data given for other measurements in (b) and (c)

Learn more here: brainly.com/question/1786006

6 0

2 years ago

Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads

Maksim231197 [3]

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

$Distance = Speed \times Time$

$Distance\ OA = 10 \times 2.5 = 25\ km$

$Distance\ OB = 16 \times 2.5 = 40\ km$

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled $\triangle AOB$ .

According to Pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km$

The speed at which distance is increasing between the two boats is given as:

$\dfrac{47.17}{2.5} \approx 18.87\ km/hr$

4 0

2 years ago

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3,−2), B(6, -2), C(6, 5) D

Vikki [24]

Answer:

Step-by-step explanation:

$Distance=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\$

A(3,-2) ; B(6,-2)

$AB=\sqrt{(6-3)^{2}+(-2-[-2])^{2}}\\\\ =\sqrt{3^{2}+(-2+2)^{2}}\\\\=\sqrt{9+0}=\sqrt{9}\\\\$

AB = 3 units

B(6,-2) ; C(6,5)

$BC=\sqrt{(6-6)^{2}+(5-[-2])^{2}} \\\\=\sqrt{0+(5+2)^{2}}\\\\=\sqrt{(7)^{2}}\\$

BC = 7 units

Area of rectangle = length * width

= AB * BC

= 3 * 7

= 21 square units

3 0

2 years ago

Read 2 more answers

A contractor purchases 7 dozen pairs of padded work gloves for $103.32. He incorrectly calculates the unit price at $14.76 per p

kvv77 [185]

Answer:

The correct unit price would be $1.23.

The contractor divided 103.32 by 7, resulting in an error.

Step-by-step explanation:

If we know a dozen equals 12, then 7 dozen looks like:

$7(12)$

Multiply.

$84$

Now we know the contractor purchases 84 pairs of padded work gloves.

Let's find our unit price:

unit price = $\frac{cost}{units}$

Substitute.

unit price = $\frac{103.32}{84}$

Divide.

unit price = $1.23$

__

To find the error of the contractor, let's try substituting in a number (7) provided in the question to see if we get $14.76 per pair:

$\frac{103.32}{7}$

Divide.

$14.76$

7 0

2 years ago