All categories

2 years ago

The national weather service reports the daily temperature in degrees

Mathematics

1 answer:

kobusy [5.1K]2 years ago

4 0

Answer:

$C =\frac{5}{9}(F - 32)$

Step-by-step explanation:

Given

$F = 1.8C + 32$

Required

Solve for C

$F = 1.8C + 32$

Subtract 32 from both sides

$F-32 = 1.8C + 32-32$

$F-32 = 1.8C$

Divide both sides by 1.8

$\frac{1}{1.8}(F - 32) = C$

Express the decimal as fraction

$\frac{1}{18/10}(F - 32) = C$

$\frac{10}{18}(F - 32) = C$

Simplify

$\frac{5}{9}(F - 32) = C$

$C =\frac{5}{9}(F - 32)$

You might be interested in

Question in attached file

Dovator [93]

13 is C, √10
Rational numbers are numbers that can be expressed as a ratio, or a fraction.

14 is C, 9.5 × 10^5

7 0

3 years ago

Would the four be greater than or leass than the negative six in bars

Alexeev081 [22]

Answer:

grater than -6 bars

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Brandy is trying to factor the quadratic $3x^2 - x - 10.$ She starts by assuming that the quadratic factors as \[3x^2 - x - 10 =

taurus [48]

Answer:

(B , D) = (-2,5)

Step-by-step explanation:

The given quadratic expression is

$3x^{2} -x-10$

compare the given expression with $ax^{2} +bx+c$

so we have $a = 3 , b = -1 ,c = -10$

now $ac=3 (-10)=- 30$ and $b= -1$

we need to find two numbers such that their product is -30 and sum is -1

-6 and 5 are such numbers

so we have

$3x^{2} -6x+5x-10$

grouping first two terms and last two terms

$(3x^{2} -6x)+(5x-10)$

factor out 3x from first two terms and 5 from last two terms

$3x(x-2) +5(x-2)$

$(x-2)(3x+5)$ ( factor out (x-2))

$(x+(-2))(3x+5)$

hence B =-2 and D= 5

(B,D)= (-2,5)

7 0

2 years ago

How do i solve for x?

liraira [26]

a^2 + b^2 =c^2

so to find your answer you do,

16.5^2 - 9.2^2= b^2

key- ^2 is squared (to the power of two) hope this helps x

4 0

3 years ago

Read 2 more answers

What is the volume of this cylinder? 6m, 7m

FrozenT [24]

Answer:

$198\:\mathrm{m^3}$

Step-by-step explanation:

The volume of a cylinder is given by $V=r^2\pi\cdot h$ , where $r$ is the radius of the cylinder and $h$ is the height.

What we're given:

$r$ of 3
$h$ of 7

Substituting given values, we get:

$V=3^2\pi\cdot 7,\\V=9\cdot 3.14\cdot 7,\\V\approx 197.82\:\mathrm{m^3}=\boxed{198\:\mathrm{m^3}}$ , rounded the nearest cubic meter as requested in question.

6 0

3 years ago

Read 2 more answers