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3 years ago

The temperature dropped 13 degrees in in 7 hours. the final temperature was -2 degrees. what was the starting temperature?

Mathematics

1 answer:

mash [69]3 years ago

7 0

To find this, you'd just add 13 to -2. So -2 + 13 = 11. So the starting temperature was 11 degrees.

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Find , , and if and terminates in quadrant .

ioda

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

STEP - BY - STEP EXPLANATION

What to find?

• sin2x

• cos2x

• tan2x

Given:

tanx = 2/3 = opposite / adjacent

We need to first make a sketch of the given problem.

Let h be the hypotenuse.

We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.

Using the Pythagoras theorem;

hypotenuse² = opposite² + adjacent²

h² = 2² + 3²

h² = 4 + 9

h² =13

Take the square root of both-side of the equation.

h =√13

This implies that hypotenuse = √13

We can now proceed to find the values of ainx and cosx.

Using the trigonometric ratio;

$\sin x=\frac{opposite}{\text{hypotenuse}}=\frac{2}{\sqrt[]{13}}$ $\cos x=\frac{adjacent}{\text{hypotenuse}}=\frac{3}{\sqrt[]{13}}$

And we know that tanx =2/3

From the trigonometric identity;

sin 2x = 2sinxcosx

Substitute the value of sinx , cosx and then simplify.

$\sin 2x=2(\frac{2}{\sqrt[]{13}})(\frac{3}{\sqrt[]{13}})$ $=\frac{12}{13}$

Hence, sin2x = 12/13

cos2x = cos²x - sin²x

Substitute the value of cosx, sinx and simplify.

$\begin{gathered} \cos 2x=(\frac{3}{\sqrt[]{13}})^2-(\frac{2}{\sqrt[]{13}})^2 \\ \\ =\frac{9}{13}-\frac{4}{13} \\ =\frac{5}{13} \end{gathered}$

Hence, cos2x = 5/13

tan2x = 2tanx / 1- tan²x

$\tan 2x=\frac{2\tan x}{1-\tan ^2x}$ $=\frac{2(\frac{2}{3})}{1-(\frac{2}{3})^2}$ $=\frac{\frac{4}{3}}{1-\frac{4}{9}}$ $=\frac{\frac{4}{3}}{\frac{9-4}{9}}$ $=\frac{\frac{4}{3}}{\frac{5}{9}}$ $=\frac{4}{3}\times\frac{9}{5}=\frac{4}{1}\times\frac{3}{5}=\frac{12}{5}$

$\tan 2x=\frac{\sin 2x}{\cos 2x}=\frac{\frac{12}{13}}{\frac{5}{13}}=\frac{12}{5}$

Hence, tan2x = 12/5

Therefore,

sin2x =12/13

cos2x = 5/13

tan2x = 12/5

3 0

1 year ago

Guadalupe can do a job in 15 hours. If she works with lan, together they can get the job done in 10 hours. How long would it tak

krok68 [10]

Answer:

30 hours

Step-by-step explanation:

The equation we use is 1/15 + 1/x = 1/10. X being the amount of time it takes Ian alone. X works out to 30 hours which is the answer

7 0

2 years ago

Does anyone know the answer?

Alexxandr [17]

Hello from MrBillDoesMath!

Answer:

Discussion:

Angle Q is an inscribed angle so

measure angle Q = 44 =

(1/2) measure of intercepted arc.

In other words,

44 = 1/2 mST => multiply both sides by 2

m ST = 44*2 = 88

which is the second choice

Thank you,

MrB

5 0

3 years ago

35 points please help!!!!! :(

Allisa [31]

1. m = (y2 - y1) / (x2 - x1)
2. negative
3. y = 2
4. 0 slope
5. line A has steepest slope
6. (5,5)(-5,-1)...slope = -6/-10 = 3/5
7. Line B has a slope of -5
8. (1989,3)(1999,5.5) = 2.50/10 = 0.25
9. not sure
10. -1/4 inches per month

6 0

3 years ago

PLS HELPPPPPPP MEEEEE

____ [38]

Answer:

4.7 · 10^7

Step-by-step explanation:

4 0

3 years ago