If you think of the equation as an equation for a line.
=+
y
=
m
x
+
b

where

=5/9(−32)
C
=
5
/
9
(
F
−
32
)

or

=5/9−5/9(32)
C
=
5
/
9
F
−
5
/
9
(
32
)

you can see the slope of the graph is 5/9
5
/
9
, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9
5
/
9
of 1 degree Celsius. Therefore, statement I is true.

This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5
9
/
5
degrees Fahrenheit. Since 95
9
5
= 1.8, statement II is true.

On the other hand, statement III is not true, since a temperature increase of 9/5
9
/
5
degrees Fahrenheit, not 5/9
5
/
9
degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.

The final answer is D.

Answer:

The missing value are 38 ,47

Step-by-step explanation:

11,20,29,38,47,56

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Answer:

we add 9 to get the following concepts

11+9=20

20+9=29

29+9=38

38+9=47

47+9=56

The volume of the tissue box is 180 cubic inches.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the area of the base is 45 square inches.

The height of the box is 4 inches.

Now, volume = 45×4

= 180 cubic inches

Therefore, the volume of the tissue box is 180 cubic inches.

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Step-by-step explanation:

Here are the steps required for Solving Quadratics by Factoring:

Step 1: Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.

Step 2: Use a factoring strategies to factor the problem.

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.

Example 1 – Solve: x2 + 16 = 10x

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.

Step 1

Step 2: Use a factoring strategies to factor the problem.

Step 2

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

Step 3

Step 4: Solve each factor that was set equal to zero by getting the

Answer:

20 in.

Step-by-step explanation:

Answer:

12 inches

Step-by-step explanation:

The formula for a trapezoid is

A = 1/2(a +b)h

The formula to find the height =

h = 2A/a + b

A= 216 in²

a =14 in

b = 22 in

Hence,

h = 2 × 216/14 + 22

h = 12 inches

The height of the trapezoid = 12 inches

Answer:

$282.5

Step-by-step explanation:

First plug your numbers into the equation

49(5) + .3(125)

Multiply numbers

245 + 37.5

Add these numbers together to find your answer

Answer:

x-4

Step-by-step explanation:

you get the value of h(x) by dividing f(x)/g(x), so you only put they values for divide.

Answer:

8.48cm²

Step-by-step explanation:

area of a sector = [tex]\frac{0\pi r^2\\\\}{360}[/tex]

where 0 = angle measure of sector

and r = radius

we are given the angle measure ( 23° ) and the radius ( 6.5 cm )

so all we have to do is plug in the values into the formula

(Note that the question asks us to use 3.14 for pi)

[tex]A=\frac{23*3.14* 6.5^2\\\\}{360}\\6.5^2 = 45.25\\23*3.14 =72.22\\72.22*45.25 = 3051.295\\\frac{3051.295}{360} =8.47581944[/tex]

so the area of the sector = 8.47581944 cm^2

finally we want to round to the nearest hundredth and we get that the answer is 8.48cm²

Answer:

10kg-30g

10×1000g - 30g

(10000 - 30) g

9970g

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Step-by-step explaination

How to calculate interest compounded semiannually

Add the nominal interest rate in decimal form to 1. The first order of operations is parentheses, and you start with the innermost one. ...

Solve step one to the power of how many compounding periods. ...

Subtract from step two. ...

Multiply step three by the principal amount.

Answer:

3

Step-by-step explanation:

(plz mark as branliest if correct)

Answer:

3

Step-by-step explanation:

P to S is 3 and the other side must be equal so its 3.

Answer:

4.32

Step-by-step explanation:

gansnxiuzgenemxjxhsbe dnsjzuxghsbeb3ne

Answer: What is the question?

Step-by-step explanation:

Answer:

-5 and 3

Step-by-step explanation:

(-(-2) +/- √(4- (4(1)(-15))) ÷ 2

(2 +/- √64 )÷ 2

(-2+8) ÷ 2 = 3

(-2 -8) ÷ 2 = -5

Answer:

4 inches

Step-by-step explanation:

The surface area, A of a right square pyramid is given by :

A = a² + 2as

Where, s = height of each triangular surface = x

a = base edge of pyramid

Substituting values into the equation :

A = 84 in² ; a = 6 in ; Slant height, s = x

84 = 6² + 2(6 * x)

84 = 36 + 2(6x)

84 = 36 + 12x

84 - 36 = 12x

48 = 12x

48/12 = 12x / 12

4 = x

Hence, Slant height, x = 4 inches

Answer:

4 inches

Step-by-step explanation:

The surface area, A of a right square pyramid is given by :

A = a² + 2as

Where, s = height of each triangular surface = x

a = base edge of pyramid

Substituting values into the equation :

A = 84 in² ; a = 6 in ; Slant height, s = x

84 = 6² + 2(6 * x)

84 = 36 + 2(6x)

84 = 36 + 12x

84 - 36 = 12x

48 = 12x

48/12 = 12x / 12

4 = x

Hence, Slant height, x = 4 inches

The first statement in a formal proof is given.

Remember to always begin our proof with the given information, and complete our proof with what you set out to deliver. As long as you do that, utilize one reason at a time, and only utilize definitions, postulates, and different theorems for your reasons, your proofs will float like a mountain stream.

The most familiar form of explicit proof in high school geometry exists as a two-column proof that consists of five parts: the given, the proposition, the statement column, the reason column, and the diagram (if one exists given).

Therefore, the correct answer is option b) Given.

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Answer:

Step-by-step explanation:

Please see diagram attached.

Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.

So they are 110,000 + 110,000 = 220,000km apart.

Answer:

Step-by-step explanation:

AC is 220000km according to the drawing:

Answer: it’s less 5<10

Step-by-step explanation:

Answer:

The 3rd one

Step-by-step explanation:

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

Step-by-step explanation:

Answer:

36/90 = .4

.4 x 100 = 40

So 36 is 40 percent of 90

(S/P = .4 x 100 = 40)

2. Taxes

Answer:

I think it is twenty-three dimes and one quarter

Answer:

7 quarters and 8 dimes

Step-by-step explanation:

If you count up the amount of money that 7 quarters is, then they are equal to $1.75. Next you would add 10 to that amount until you got to $2.55, and you would end up with 8 dimes. And 8 + 7 = 15.

Answer:

Term

Step-by-step explanation:

Given:

Tom needs to plow 1.1 acres of land.

He can plow 5.5 acres in an hour.

To find:

The time taken by Tom to plow 1.1 acres of land.

Solution:

We have,

Time take by Tom to plow 5.5 acres = 1 hour

Time take by Tom to plow 1 acre = [tex]\dfrac{1}{5.5}[/tex] hour

Time take by Tom to plow 1.1 acres = [tex]\dfrac{1.1}{5.5}[/tex] hour

                                                           = [tex]0.2[/tex] hour

Therefore, the time taken by Tom to plow 1.1 acres of land is 0.2 hour.

Answer:

The perimeter of the triangle is 34 cm

Step-by-step explanation:

Here, we want to find the perimeter of the triangle

This is simply the sum of the side lengths

mathematically, the distance of two lines from a point touching the circle is the same

so, on the other sides, we have the missing sides as;

5cm, 4 cm and 8 cm

So the perimeter will be;

4cm + 5cm + 8 cm + 4 cm + 8 cm + 5 cm = 34 cm