Ask question

Ask question

All categories

mihalych1998 [28]

3 years ago

9

What is 45 as a fraction?

1 answer:

Rama09 [41]3 years ago

7 0

A whole number is always written as itself over one.

45/1

Answer: 45/1

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

KatRina [158]

Answer:

D

Step-by-step explanation:

is the correct answer i believe.

3 0

2 years ago

Read 2 more answers

When 47 is added to a number the result is 37 less than 7 times the number.

REY [17]

X - the number

The number is <span>14.</span>

3 0

3 years ago

A car averages 28.5 miles per gallon of gasoline. How many liters of gasoline will be needed for a trip of 415 km? Some conversi

GrogVix [38]

Answer:

34.22 liters

Step-by-step explanation:

Step one:

Given data

A car averages 28.5 miles per gallon of gasoline

How many liters of gasoline will be needed for a trip of 415 km

let us convert 415km to miles first

1 km is 0.621371 miles

415km is x miles

cross multiply we have

x= 415*0.621371

x=257.86 miles

Step two:

if 1 gallon of gasoline will cover 28.5 miles

the x gallons will cover 257.86 miles

cross multiply we have

28.5x= 257.86

divide both sides by 28.5

x= 257.86/28.5

x=9.04 gallons

Step three:

let us convert gallons to liters

1 gallon is 3.78541 liters

9.04 gallons will be x liters

cross multiply we have

x=9.04*3.78541

x= 34.22 liters

5 0

3 years ago

6. Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation. y

mars1129 [50]

The equation is y = 1.50x + 4

The answers for the rest is 2=7 4=10 6=13 8=16

6 0

3 years ago