The time taken, t seconds, that it takes a water heater to boil water is inversely
proportional to the power, p watts, of the water heater.
When P = 2000W, T = 252 seconds.
Find the time it takes to boil water when P = 800W

hi I am sorry I wish I could help

Answer:

x ≈ 6.2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 17.1² = 18.2²

x² + 292.41 = 331.24 ( subtract 292.41 from both sides )

x² = 38.83 ( take the square root of both sides )

x = [tex]\sqrt{38.83}[/tex] ≈ 6.2 ( to the nearest tenth )

Answer:

1/24

Step-by-step explanation:

5/120 which simplifies to:  1/24

Answer:

I have not solved

Step-by-step explanation:

I am human being sonI didn't answer

Mark me as brainliest

Answer:

Option D.) 236 degrees

Step-by-step explanation:

Angle GFE is half of the central angle. Measure of central angle is congruent to it's intersecting arc, therefore;

2 * ∠GFE = Arc GE (?)

2 * 118 = Arc GE (?)

236 = Arc GE (?)

Hope this helps!

Answer:

b

Step-by-step explanation:

b

Answer:

The value of k is 496

Step-by-step explanation:

let, the other two numbers be x and y

so, (x+y) +k =1116

let the value of (x+y) be 100 so we can assume k to be 20% less of 100 which is 80

so now (x+y) =100(assuming)

k =80(assuming)

now, (x+y) +k =1116 (putting assumed values(

or, 100 + 80 =1116

or, 180 units = 1116

or, 1 unit = 1116/180

.: 1 unit = 6.2

we have assumed value of k to be 80 units previously so now, k = 80 units

or, K =80*6.2 (1 unit =6.2)

.: k = 496

Hope this answer helps you

Given:

The equation is:

[tex]y=2x+1[/tex]

To find:

The y-coordinates for the ordered pairs (0, _), (-1, _) and (1, _)for this equation.

Solution:

We have,

[tex]y=2x+1[/tex]

For [tex]x=0[/tex],

[tex]y=2(0)+1[/tex]

[tex]y=0+1[/tex]

[tex]y=1[/tex]

For [tex]x=-1[/tex],

[tex]y=2(-1)+1[/tex]

[tex]y=-2+1[/tex]

[tex]y=-1[/tex]

For [tex]x=1[/tex],

[tex]y=2(1)+1[/tex]

[tex]y=2+1[/tex]

[tex]y=3[/tex]

Therefore, the complete ordered pairs are (0,1), (-1, -1) and (1,3). Plot these points on a coordinates plane and connect them by a straight line as shown in the below figure.

Answer:

2α^2+15α+21

Step-by-step explanation:

(5α+α²-14) + (10α +α²+ 35)

Combine like terms

α^2+α^2+5α+10α-14+35

2α^2+15α+21

Answer:

2a² + 15a + 21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

(5a + a² - 14) + (10a + a² + 35)

Step 2: Simplify

Answer:

55

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y = 1/4 × x - 2

x=8 => y=0. correct for B

x=12 => y= 1. correct for C

all other answer options fail for these 2 points.

Answer: OOOOOKAY So I got three answers they all equal to the same thing

Step-by-step explanation:

Exact Form: x = -30/7

Decimal Form: -4.285714..

Mixed Number Form: x - 4 2/7

Answer:

6

Step-by-step explanation:

Answer:

The answer would be 6

Step-by-step explanation:

Answer:

A linear function is written in slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

So any function of this shape, is a linear function, such that when graphed it is a straight line.

In this case, the function you wrote is:

Q: y = 1/3x + 2

Now, if the function is exactly what you wrote, then x is in the denominator:

y = 1/(3*x) + 2

Clearly, this is different than the general linear equation you can see above (here the variable is in the denominator) then in this case Q is non-linear.

If instead, the actual function Q is:

Q: y = (1/3)*x + 2

Then this is a linear equation, where the slope is 1/3 and the y-intercept is 2.

Answer:

Step-by-step explanation:

take x degree as reference angle

using sin rule

sin x=opposite/hypotenuse

sin x=9/18

sinx=0.50

x=sin 30

x=30 degree

Answer:

the answer for this is A

Step-by-step explanation:

B,D,Erespectively representing the numbers are: 8,16,19.

8 as seen is the lowest.

16 as seen is the median .

19 as seen is the greatest.

Therefore the answer is A.

Answer:

45

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\a^{2} +28^{2}=53^{2} \\a^{2} = 53^{2} -28^{2}\\a=45[/tex]

Answer:

67°

Step-by-step explanation:

< EFB = ½× (163-29) = ½×(134) = 67°

Answer:

Angle A = 41, Arc CE = 42, Angle C = 41, Angle D = 40, Angle ABE = 61

Step-by-step explanation:

Angle A = Arc BD/2  (Inscribed Angle)

Angle A = 82/2

Angle A = 41

Arc CE = 2 x Angle CEB (Inscribed Angle)

Arc CE = 2 x 21

Arc CE = 42

Angle C = Arc BD/2 (Inscribed Angle)

Angle C = 82/2

Angle C = 41

Angle D = Arc AC/2  (Inscribed Angle)

Angle D = 80/2

Angle D = 40

Angle ABE = Arc AE/2

Angle ABE = Arc AC + Arc CE/2

Angle ABE = 122/2

Angle ABE = 61

m < A =  [tex]39^{0}[/tex] , mCE =  [tex]40^{0}[/tex], m < c = [tex]39^{0}[/tex], m < D = [tex]37^{0}[/tex] m < ABE = [tex]57^{0}[/tex]

A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around.

a. m < A = [tex]\frac{1}{2}[/tex] mBD

= [tex]\frac{1}{2}[/tex] × [tex]78^{0}[/tex]

= [tex]39^{0}[/tex]

b. mCE = 2m < CBE

= 2 × [tex]20^{0}[/tex]

= [tex]40^{0}[/tex]

c. m < c = m < A = [tex]39^{0}[/tex]

d. m < D = [tex]\frac{1}{2}[/tex] mAC

= [tex]\frac{1}{2}[/tex] × [tex]74^{0}[/tex]

= [tex]37^{0}[/tex]

e. m < ABE = [tex]\frac{1}{2}[/tex] mAC + [tex]\frac{1}{2}[/tex] mCE

= [tex]37^{0}[/tex] + [tex]20^{0}[/tex]

= [tex]57^{0}[/tex]

Hence, m < A =  [tex]39^{0}[/tex] , mCE =  [tex]40^{0}[/tex], m < c = [tex]39^{0}[/tex], m < D = [tex]37^{0}[/tex] m < ABE = [tex]57^{0}[/tex]

Learn more about angles in a circle here

https://brainly.com/question/23247585

#SPJ2

Answer:

1 1/4 hours=60+15 minutes =75 minutes

hence, 75 divided by 5 = 15 five minutes intervals:)

Ans: 15 five minutes intervals

Answer:

There are 15 five minute intervals

Step-by-step explanation:

60 minutes is 1 hour

1/4 hours is 15 minutes

1 1/4 hour is 60+15 = 75 minutes

75 minutes / 5 minutes =15

There are 15 five minute intervals

Answer:

2

Step-by-step explanation:

The area of a triangle is equivalent to its length multiplied by its width.

In this example, one way we can look at this is to make everything in terms of two. First, we know that

[tex]2^{4} = 16\\\sqrt[5]{2^{4}} = \sqrt[5]{16} \\2^{4 (1/5)} = \sqrt[5]{2^{4}}[/tex]

We can establish that last line because x^((y)^(z)) = x^(y*z), as is stated in exponent rules. Therefore, our area is

[tex]2^{4/5} * 2^{1/5} = 2^{4/5 + 1/5} = 2^{5/5} = 2^{1} =2[/tex]

Answer:

1/6=6

Step-by-step explanation:

Conversion a mixed number 2 1/

4

to a improper fraction: 2 1/4 = 2 1/

4

= 2 · 4 + 1/

4

= 8 + 1/

4

= 9/

4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/

4

= 8/

4

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 4.

Two and one quarter is nine quarters

Divide: 9/

4

: 3/

8

= 9/

4

· 8/

3

= 9 · 8/

4 · 3

= 72/

12

= 12 · 6/

12 · 1

= 6

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/

8

is 8/

3

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 12 gives 6/

1

.

In words - nine quarters divided by three eighths = six.

Answer:

10.3 in

Step-by-step explanation:

a = (1/2)b*h

53 = (1/2)x * x

53 = (1/2)x²

Multiply both sides by 2

106 = x²

Take the square root of both sides

x = 10.3

Answer:

[tex]3x^2+8x+5[/tex]

Step-by-step explanation:

[tex](3x+5)(x+1)[/tex]

[tex]3x(x+1)+5(x+1)[/tex]        Distribute

[tex]3x(x+1)+5(x+1)[/tex]        Distribute [tex]3x(x+1)[/tex]

[tex]3x^2+3x+5(x+1)[/tex]        

[tex]3x^{2} +3x+5(x+1)[/tex]         Distrbute [tex]5(x+1)[/tex]

[tex]3x^2+3x+5x+5[/tex]            Combine like terms

[tex]3x^{2} +8x+5[/tex]

Answer:

3x²+8x+5

Step-by-step explanation:

Hi there!

We're given the product of two binomials: (3x+5)(x+1) and we want to express as a trinomial (polynomial with 3 terms)

we can multiply using FOIL; firsts, outers, inners, and lasts

Let's start by multiplying the firsts, which are the first terms in the two binomials, which are (3x+5) and (x+1)

So we'll multiply:

3x*x=3x²

Now we'll multiply the outers, which are the terms on the "outside" in the binomials, which are (3x+5) and (x+1)  (remember to include the sign!)

So we'll multiply:

3x*1=3x

then we'll multiply the inners, which are the terms on the "inside" of the binomials, which are (3x+5) and (x+1)

So we'll multiply:

5*x=5x

finally, we'll multiply the lasts, which are the last terms in the binomials, or (3x+5) and (x+1)

So we'll multiply:

5*1=5

now let's add up everything:

3x²+5x+3x+5

we have some like terms that we can combine

3x²+8x+5

Hope this helps!

Answer:

314 square cenntimeters

Step-by-step explanation:

Area of the circular cross-section of the pipe = πd²/4

Given that;

d = 20cm

Area = π(20)²/4

Area = 400π/4

Area = 100π

Area = 100(3.14)

Area = 314cm²

Hence the area of the circular cross-section of this pipe is 314 square cenntimeters

Answer:

No

Step-by-step explanation:

25% as a decimal is 0.25

and 0.3 as a percentage is 30%

Answer:

Samuel is wrong.

Step-by-step explanation:

[tex]25 \% = \frac{25}{100} = 0.25[/tex]

[tex]0.3 = 0.30 = \frac{30}{100} = 30 \%[/tex]

Guess u got the answer :)

Answer:

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

1 feet = 12 inches

4 feet = 48 inches

Why?

4 x 12 = 48