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3 years ago

13

Question 3

1 answer:

denpristay [2]3 years ago

4 0

Answer:

C

Step-by-step explanation:

In five minutes it decreased by 10 gallons (5x2=10), In 10 minutes it decreased by 20 gallons.

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If t a n squared θ = 3 /8 , what is the value of s e c θ

TEA [102]

We can use 3 facts:

$\tan{\theta}=\frac{y}{x}$

$\sec{\theta}=\frac{r}{x}$

$x^2+y^2=r^2$

So, to find our x and our y we can do:

$\tan^2{\theta}=\frac{3}{8} \implies \\ \tan{\theta}=\pm{\sqrt{\frac{3}{8}}=\pm\frac{\sqrt{3}}{\sqrt{8}}$ So, now that we know our x and our y we can find our r.

$(\sqrt{3})^2+(\sqrt{8})^2=11 \implies r=\sqrt{11}$

You'll notice, though, that there were two solutions for $\tan{\theta}$ , which means we have a positive and a negative for our x. So:

$\sec{\theta}=\frac{\sqrt{11}}{\sqrt{8}} \\ \sec{\theta}=-\frac{\sqrt{11}}{\sqrt{8}}}\\ \text{Rationalizing both of them:}\\ \sec{\theta}=\frac{\sqrt{88}}{8} \\ \sec{\theta}=-\frac{\sqrt{88}}{8}$

7 0

3 years ago

Read 2 more answers

HELP ASAP!! WILL GIVE BRAINLIEST ❤️

mr Goodwill [35]

Answer:

$m=-3$

The slope is negative.

General Formulas and Concepts:

Order of Operations: BPEMDAS
Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-5, 19)

Point (-1, 7)

<u>Step 2: Find slope </u><em><u>m</u></em>

Substitute: $m=\frac{7-19}{-1-(-5)}$
Simplify: $m=\frac{7-19}{-1+5}$
Subtract/Add: $m=\frac{-12}{4}$
Divide: $m=-3$

8 0

3 years ago

39y³(50y² - 98) ÷26y²5y + 7)

olga nikolaevna [1]

Answer:

3y5 • (5y + 7)2 • (5y - 7) then solve that which is (3•2y5) • (5y + 7) • (5y - 7) and keep going { 3x−2y=5 & 2x−5y=7

SOLVE FOR X, Y

x=1

y=−1

I hope this helps a little

7 0

2 years ago

write how much has passed. 10:45 am to 11:15 am. 2:15 pm to 2:30 pm 6:15 am to 6:45 am 3:30 pm to 4:30 pm 9:15 am to 10:00 am

liq [111]

Answer:

1. 30 minutes

2. 15 minutes

3. 30 minutes

4. 60 minutes/ 1 hour

5. 45 minutes

Step-by-step explanation:

1. 60 - 45 = 15

15+15 = 30

2. 30 - 15 = 15

3. 45 - 15 = 30

4. 60 - 30 = 30

30 + 30 = 60

5. 60 - 15 = 45

3 0

3 years ago

Which of the following is NOT one of the main components of the cell theory?

Damm [24]

Answer:

number 1 so a (=

Step-by-step explanation:

6 0

3 years ago

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