MATHEMATICS HIGH SCHOOL

20. The temperature of a pot of water is 62*F. The temperature increasesby 20*F per minute when being heated. Write an equation to represent

the linear relationship. *

Answers

Answer 1
Answer:

Given :

The temperature of a pot of water is 62 F .

The temperature increases  by 20 F per minute when being heated .

To Find :

Write an equation to represent  the linear relationship.

Solution :

Here , the temperature is increasing directly with the time .

Therefore , it is a linear equation .

Let temperature varies with as :

T = at+b   .... equation 1 .

( Here , a and b are constants )

Now , at t= 0 min .

T = 62 =a* 0 + b

b=62    

Now , after 1 min temperature will be , T = 62 +20 =82 F

T = 82 = a* 1+62\na=20

Putting value of a ans b in equation 1 , we get :

T=20t+62\ F

Hence , this is the required relation .

Related Questions

Which of the following statements contain a variable? A. The time it takes to wash the dishes plus 30 minutes. B. The age of my friend. C. The number of kittens in a litter. D. There are 24 hours in a day. ​
What is deductive reasoning in geometry
What two numbers multiply to 18 but add to get -5?
Suppose in one year, total revenues from digital sales of pop/rock, tropical (salsa/merengue/cumbia/bachata), and urban (reggaeton) Latin music in a certain country amounted to $21 million. Pop/rock music brought in twice as much as the other two categories combined and $10 million more than tropical music. How much revenue was earned from digital sales in each of the three categories?
What is the surface area of the rectangular prism below

How many miles do you estimate it would be if you still the strip around the equator

Answers

It's not possible to come up with an estimate, because nobody here knows what it means to "still the strip".

The Sine and Cosine RulesRight-angled triangle Trigonometry
Please note your working out with your answer, thank you.

Q11) A lifeguard on top of an observation tower 12.5m high notices a surfer in trouble at an angle of depression of 8 degrees. How far, correct to one decimal place, is the surfer from the tower?

Q13) A boat is 420m from the base of the cliff. The angle of depression of the boat from the top of the cliff is 28 degrees. Find the height of the cliff to the nearest metre.

Answers

Hello,
I am not doing that with sin, cos and pythagorean theorem.

DEFINITION: we call TAN x=sin x / cos x
This means that in a right triangle the tangent of an angle is the ration of opposed side by adjacent side.

11: tan 8°=12.5/d
==>d=12.5/tan 8°=12.5/0.14054...=88.942121...m≈88.9 (m)

12:
tan 28°=h/420
==>h=420*tan 28°=420*0.5317...=223.3179...≈223.3 (m)

The rectangle is 3 3⁄4 centimeters long and 2 1⁄2 centimeters wide. What is the area of this rectangle?please help me ASAP
Ive been struggling

Answers

Answer:

The answer to your question is    Area = 9 3/8

Step-by-step explanation:

Data

length = 3 3/4 cm

width = 2 1/2 cm

Process

1.- Write the equation of the Area of a rectangle

   Area = length x width

2.- Convert the values to improper fractions

     3 3/4 = (12 + 3)/ 4 = 15/4

     2 1/2 = (4 + 1) / 2 = 5/2

3.- Substitution

      Area = (15/4)(5/2)

4.- Simplification

      Area = 75/8

5.- Convert to a mixed fraction

                       9

                8   75              

                        3

6.- Result

   Area = 9 3/8

Find the length of side xx in simplest radical form with a rational denominator.

Answers

The length of side is √10/2

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a 45-90-45 so if the sides are x then the hypotenuse will be x√2

From the figure the hypotenuse of triangle is √5

SO equation it to x√2

We get √5=x√2

Divide both sides by √2

√5/√2=x

As the denominator should be a whole number we have to rationalize the denominator.

Multiply numerator and denominator with √2

√5/√2×√√2/√2

√10/2

Hence, the length of side is √10/2

To learn more on trigonometry click:

brainly.com/question/25122835

#SPJ2

Answer:

(√(10) )/(2)

Step-by-step explanation:

on a 45 - 45 - 90 triangle if the sides are x then the hypotenuse is x√(2)

so,

√(5) = x√(2)                  (Divide by √(2) )

(√(5) )/(√(2) ) = x                        (rationalize the denominator)

(√(5) )/(√(2) ) · (√(2) )/(√(2) ) = (√(10) )/(√(4) ) = (√(10) )/(2)

Tanesha’s utility and telephone bills for the month totaled $150. The utility billwas 4 times as much as the telephone bill. How much was each bill?

Answers

X represents the cost of the phone bill

4x + x = 150
5x = 150
X = (150/5)
X = 30

Therefore the telephone is $30 and the utility bill is $120

12 yd
8 yd
6 yd

What’s the area ?

Answers

Answer:

576 i believe!

Step-by-step explanation:
Other Questions
An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 60°. The measures of the other interior angles are in the ratio 1 ∶ 7. What are the measures of the other interior angles?
There were 28 boys on the boy's basketball team and 16 girls on the girl's basketball team last year. This year the number of boys decreased by 8% but the number of girls increased by 19%. Was there an increase or decrease in overall participation?
Find the nth term in the sequence -6,-3,0,3,6
I am greater than 4 tens and less than 5 tens I have 9 ones what number am I?