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Mademuasel [1]
2 years ago
12

A rectangular prism is shown.

Mathematics
1 answer:
enot [183]2 years ago
6 0

Answer:

1974 mm^3

Step-by-step explanation:

The formula to find the volume of a rectangular prism/cuboid: l x w x h, where l is the length, w is the width and h is the height.

1) Input the values into the formula and solve it.

= 47 x 14 x 3

= 1974 mm^3

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Seventh grade students were asked whether they participated in an after school activity. Complete the table below.
Natalka [10]

Answer:

Relative frequency of male nonparticipation is O.42

Step-by-step explanation:

Figure 1 is your partially filled frequency table.

1. Complete the table

(a) Total No

Total Yes + Total No = Total

     102     + Total No = 187

                   Total No = 187 - 102  

                                   = 85

 

(b) Female No

Male No  + Female  No = Total No

     40      + Female No =      85

                  Female No =       85 - 40

                                      =       45

(c) Female Yes

Female Yes + Female  No = Female Total

Female Yes +       45          =        95

Female Yes                         =        95 - 45

                                            =        50

(d) Male Yes

Male Yes + Female  Yes = Total Yes

Male Yes +         50          =     102

Male Yes                           =     102 - 50

                                          =     52

(e) Male Total

Male Yes + Male No = Male Total

     52      +       40     = Male Total

         Male Total        =       92

Figure 2 shows the completed table.

2. Frequency of Male No

There are 92 males, of whom 40 do not participate in an after-school activity.

The relative frequency of male nonparticipation is

40/92 = 0.43

8 0
2 years ago
Two lamps marked 100 W - 110 V and 100 W - 220 V are connected i
ELEN [110]
<h2>Answer:</h2>

The power consumed in the lamp marked 100W - 110V is 15.68W

The power consumed in the lamp marked 100W - 220V is 62.73W

<h2>Step-by-step explanation:</h2>

Given:

<em>First lamp rating</em>

Power (P) = 100W

Voltage (V) = 110V

<em>Second lamp rating</em>

Power (P) = 100W

Voltage (V) = 220V

<em>Source</em>

Voltage = 220V

i. <u>Get the resistance of each lamp</u>.

Remember that power (P) of each of the lamps is given by the quotient of the square of their voltage ratings (V) and their resistances (R). i.e

P = \frac{V^2}{R}

<em>Make R subject of the formula</em>

⇒ R = \frac{V^2}{P}             ------------------(i)

<em />

<em>For first lamp, let the resistance be R₁. Now substitute R = R₁, V = 110V and P = 100W into equation (i)</em>

R₁ = \frac{110^2}{100}

R₁ = 121Ω

<em />

<em>For second lamp, let the resistance be R₂. Now substitute R = R₂, V = 220V and P = 100W into equation (i)</em>

R₂ = \frac{220^2}{100}

R₂ = 484Ω

<em />

<em />

ii.<u> Get the equivalent resistance of the resistances of the lamps.</u>

Since the lamps are connected in series, their equivalent resistance (R) is the sum of their individual resistances. i.e

R = R₁ + R₂

R  = 121 + 484

R = 605Ω

iii. <u>Get the current flowing through each of the lamps. </u>

Since the lamps are connected in series, then the same current flows through them. This current (I) is produced by the source voltage (V = 220V) of the line and their equivalent resistance (R = 605Ω). i.e

V = IR [From Ohm's law]

I = \frac{V}{R}

I = \frac{220}{605}

I = 0.36A

iv. <u>Get the power consumed by each lamp.</u>

From Ohm's law, the power consumed is given by;

P = I²R

Where;

I = current flowing through the lamp

R = resistance of the lamp.

<em>For the first lamp, power consumed is given by;</em>

P = I²R           [Where I = 0.36 and R = 121Ω]

P = (0.36)² x 121

P = 15.68W

<em>For the second lamp, power consumed is given by;</em>

P = I²R           [Where I = 0.36 and R = 484Ω]

P = (0.36)² x 484

P = 62.73W

Therefore;

The power consumed in the lamp marked 100W - 110V is 15.68W

The power consumed in the lamp marked 100W - 220V is 62.73W

8 0
2 years ago
Find the degree measure of each angle.<br> (In picture)
sesenic [268]
Here you go:
ebf = 90-39 = 51
eba = 90
dbe = 90-73 = 17
abf = 90 +51 = 141
abc = 180
7 0
2 years ago
What is the title of this picture
Reil [10]

Answer:

i cant see the picture

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Ma grand-mère décide de vider son grenier qui comprend 1675 objets. Elle décide
Slav-nsk [51]

Answer:

335 jours (335 days)

Step-by-step explanation:

1675 / 5 = 335

4 0
2 years ago
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