Ask question

Ask question

All categories

Studentka2010 [4]

3 years ago

6

PLEASE ANSWER

2 answers:

nata0808 [166]3 years ago

7 0

1/3 = 7

------ ---------

2 miles ? miles

using cross products

1/3 * ? = 2 * 7

1/3 ? =14

? = 42 miles

Tom [10]3 years ago

3 0

Answer:

42

Step-by-step explanation:

You might be interested in

Please solve 5 f <br> (Trigonometric Equations)<br> #salute u if u solved it

Zanzabum

Answer:

$\beta=45\degree\:\:or\:\:\beta=135\degree$

Step-by-step explanation:

We want to solve $\tan \beta \sec \beta=\sqrt{2}$ , where $0\le \beta \le360\degree$ .

We rewrite in terms of sine and cosine.

$\frac{\sin \beta}{\cos \beta} \cdot \frac{1}{\cos \beta} =\sqrt{2}$

$\frac{\sin \beta}{\cos^2\beta}=\sqrt{2}$

Use the Pythagorean identity: $\cos^2\beta=1-\sin^2\beta$ .

$\frac{\sin \beta}{1-\sin^2\beta}=\sqrt{2}$

$\implies \sin \beta=\sqrt{2}(1-\sin^2\beta)$

$\implies \sin \beta=\sqrt{2}-\sqrt{2}\sin^2\beta$

$\implies \sqrt{2}\sin^2\beta+\sin \beta- \sqrt{2}=0$

This is a quadratic equation in $\sin \beta$ .

By the quadratic formula, we have:

$\sin \beta=\frac{-1\pm \sqrt{1^2-4(\sqrt{2})(-\sqrt{2} ) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{1^2+4(2) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{9} }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm3}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{2}{2\cdot \sqrt{2} }$ or $\sin \beta=\frac{-4}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{1}{\sqrt{2} }$ or $\sin \beta=-\frac{2}{\sqrt{2} }$

$\sin \beta=\frac{\sqrt{2}}{2}$ or $\sin \beta=-\sqrt{2}$

When $\sin \beta=\frac{\sqrt{2}}{2}$ , $\beta=\sin ^{-1}(\frac{\sqrt{2} }{2} )$

$\implies \beta=45\degree\:\:or\:\:\beta=135\degree$ on the interval $0\le \beta \le360\degree$ .

When $\sin \beta=-\sqrt{2}$ , $\beta$ is not defined because $-1\le \sin \beta \le1$

4 0

3 years ago

Which one is the correct answer?

Gala2k [10]

The second one is the right answer

7 0

3 years ago

Read 2 more answers

Write an equation of the line below.

atroni [7]

Answer:

y = 2/3 x

Step-by-step explanation:

slope = m = 4/6 = 2/3

y-intercept = b = 0

Equation: y = mx + b

y = 2/3 x

3 0

2 years ago

The cost of the ski team's trip is represented by the question: Where

Elina [12.6K]

The answer is: 30 skiers were participating in the ski trip.

Method:

$50S = $1,850 - $350 = $1,500

S = 1,500/50 = 30

Therefore, 30 skiers went on the trip

8 0

3 years ago

Kenny's backpack wwighs 27 pounds he has 9 books with him that each weigh the same amount when he gets to school he gives chelse

Lera25 [3.4K]

Answer:

12 pounds

Step-by-step explanation:

27/9=3, so each book weighs 3 pounds

Chelsea takes 2 books, or 6 pounds

3 books, or 9 pounds, go in the locker

9+6=15

27-15=12, so his backpack weighs 12 pounds

4 0

3 years ago

Read 2 more answers