A rectangular prism with a volume of

The electric heaters, in a 240 volt electric furnace, draw 40 amps of current. What is the total KW rating of the heaters?

expeople1 [14]

9514 1404 393

Answer:

9.6 kW

Step-by-step explanation:

The product of volts and amps is watts. Here, that product is ...

(240 V)(40 A) = 9600 W

1000 W is 1 kW, so this quantity is 9.6 kW

__

This tells the power consumption. The "rating" may be different.

3 0

3 years ago

QRST is a parallelogram. Find x and y.

Wewaii [24]

In parallelograms, opposite sides are congruent, meaning that they are the same lengths. So, we have:

y - 4x = 9

-x + 4 = y

Add x to both sides of the second equation:

y + x = 4

y - 4x = 9

This is a system of linear equations. Solve by eliminating the y and subtracting the two equations:

5x = -5

x = -1

Use x to solve for y:

y + (-1) = 4

y = 5

So, x = -1 and y = 5.

5 0

3 years ago

What is the value of x?

charle [14.2K]

Hey Rireneb!

This is a pretty simple Geometry question, so I will explain it in-depth for you to understand clearly! What you have displayed in the image is an isosceles triangle, meaning that both base angles are congruent (to each other). You know that the angle opposite to the base is 93.5, so you can subtract that from 180 and get 180-93.5=86.5
So, your base angles must be equal AND equal 86.5 when added up. So you must do the following, 86.5/2, which would get you to the answer 43.35. So, 43.25 is the value of each base angle, meaning that x = 43.25. Finally, the most appropriate answer to your question would be option 2!

Hope I was able to help! If you need any more help, please let me know and I will further assist you.

3 0

4 years ago

Read 2 more answers

A biology class has a total of 25 students. The number of females is 15 less than the number of males. How many males and how ma

meriva

Answer:

10 males

Step-by-step explanation:

because 15 + 10 is 25 so the answer is 10 males and 15 females

5 0

3 years ago

Read 2 more answers

. Lightning Strikes It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what cir

mrs_skeptik [129]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

$P(U |D ) = 0.198$

b

$P(O\ n \ B) = 0.188$

c

$P(O | B) = 0.498$

Step-by-step explanation:

The total number of deaths is mathematically represented as

$T = 16 + 23 + \cdots + 16$

$T =623$

The total number of deaths in 1996 - 2000 is mathematically represented as

$T_a = 16 + 23+ \cdots + 30$

$T_a = 235$

The total number of deaths in 2001 - 2005 is mathematically represented as

$T_b = 17 + 16 + \cdots + 23$

$T_b = 206$

The total number of deaths in 2006 - 2010 is mathematically represented as

$T_c = 15 + 17 + \cdots + 16$

$T_d = 182$

Generally the the probability that it would occur under the tree given that the death was after 2000 is mathematically represented as

$P(U |D ) = \frac{P(A \ n\ U )}{P(A)}$

Here $P(A \ n\ U )$ represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as

$P(A \ n\ U ) = \frac{Z}{ T}$

Here Z is the total number of death under the tree after 2000 and it is mathematically represented as

$Z = 35 + 42$

=> $Z = 77$

=> $P(A \ n\ U ) = \frac{77}{ 623}$

=>

Also

$P(A)$ is the probability of the death occurring after 2000 and this is mathematically represented as

$P(A) = \frac{T_b + T_c}{ T}$

=> $P(A) = \frac{ 206+ 182}{623}$

=>

So

$P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+ 182}{623}}$

=> $P(U |D ) = 0.198$

Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as

$P(O | B) = \frac{T_z}{ T}$

Here $T_z$ is the total number of death outside / camping before 2001 and the value is 117

So

$P(O \ n \ B) = \frac{117}{623}$

=> $P(O\ n \ B) = 0.188$

Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as

$P(O | B) = \frac{ P( O \ n \ B)}{ P(B)}$

Here $P(B)$ is the probability that it was before 2001 , this is mathematically represented as

$P(B ) = \frac{T_a}{T}$

=> $P(B ) = \frac{235}{623}$

So

$P(O | B) = \frac{ \frac{117}{623}}{ \frac{235}{623}}$

=> $P(O | B) = 0.498$

5 0

3 years ago