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3 years ago

Convert 315 degrees to radian

Mathematics

2 answers:

Mrac [35]3 years ago

6 0

Answer:

$\frac{7\pi }{4}$ radians

Step-by-step explanation:

to convert degrees to radians

radians = degrees × $\frac{\pi }{180}$ , then

radian measure = 315° × $\frac{\pi }{180}$ ( cancel 315 and 180 by 45 )

= 7 × $\frac{\pi }{4}$

= $\frac{7\pi }{4}$

inna [77]3 years ago

3 0

Answer:

5.49779

Step-by-step explanation:

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Solve the quadratic equation: 3x2 − 2x − 8 = 0

astra-53 [7]

Solutions

Factor 3x²−2x−8

1. Multiply 3 by -8, which is -24.

2. Ask: Which two numbers add up to -2 and multiply to -24?

3. Answer: 4 and -6

4. Rewrite −2x as the sum of 4x and −6x:

$3x^2+4x-6x-8=0$ 

Factor out common terms in the first two terms, then in the last two terms

$x(3x+4)-2(3x+4)=0

 
$

Factor out the common term 3x+4

 $(3x+4)(x-2)=0$

Solve for x

1. Ask: When will (3x+4)(x−2) equal zero?

2. Answer: When 3x+4=0 or x−2=0.

3. Solve each of the 2 equations above:

x = −4 / 3,2

8 0

3 years ago

Read 2 more answers

Compare fractions 3/4 and 11/12

RoseWind [281]

For now, assume 3/4 and 11/12 are equal. It is likely they are not equal, but we'll get to that later.

The equation we set up is 3/4 = 11/12

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

3/4 = 11/12

3*12 = 4*11 ... cross multiply

36 = 44

The last equation is false, so the entire string of equations are false.

This tells us that 3/4 is not equal to 11/12.

Since the left hand side of the last equation is smaller, this means we must replace the equal sign with a less than sign. Do so with the other equal signs as well. We have this updated set of steps

3/4 < 11/12

3*12 < 4*11 ... cross multiply

36 < 44

We see that 3/4 is smaller than 11/12

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

Another way to see that 3/4 is smaller is to use a calculator to find the decimal version of each fraction

3/4 = 0.75

11/12 = 0.9167 approximately

Since 0.75 is smaller than 0.9167, this means 3/4 is smaller than 11/12.

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

If you want to stick with fractions and you don't want to cross multiply, then we can rewrite 3/4 as a fraction that has 12 in the denominator.

Multiply top and bottom of 3/4 by the value 3

This will make 3/4 turn into 9/12

3*3 = 9

4*3 = 12

So 3/4 = 9/12 is a true equation

Instead of comparing "3/4 and 11/12", we are equivalently comparing "9/12 and 11/12".

The numerator 9 is smaller than the numerator 11, so 9/12 is smaller than 11/12

This points to 3/4 being smaller than 11/12.

5 0

4 years ago

A triangle has vertices T(-2,4), E(6,2), and D(1,-1). Is ATED a right triangle?

inessss [21]

Answer:

B. Yes, because ED is perpendicular to DT which makes a right angle.

Step-by-step explanation:

Plot the given points and connect in pairs to get a triangle.

Visually we can say it is a right triangle as legs TD and ED seem perpendicular.

Let's confirm this by finding the slopes.

Slope of TD:

m = (-1 - 4)/(1 -(-2)) = -5/3

Slope of ED:

(-1 - 2)/ (1 - 6) = -3/-5 = 3/5

Product of the slopes is:

-5/3*3/5 = -1

This confirms DT⊥ED

Correct choice is B

6 0

3 years ago

Help 1000 points i will give you more this question is hard

AlexFokin [52]

Answer:

H) 2

Step-by-step explanation:

$\frac {\sqrt {1 - \cos^{2}x}}{\sin x} + \frac {\sqrt {1 - \sin^{2}x}}{\cos x}$

= $\frac {\sin x}{\sin x} + \frac {\cos x}{\cos x}$ [since 0 < x < (π/2) and $\sin^{2}x + \cos^{2}x = 1$ ]

= (1 + 1)

= 2

We know that in general,

by $\sqrt {x}$ we mean the positive square root of x only.

5 0

3 years ago

Read 2 more answers

Ou put $5,000 in a simple interest account at a bank. you will earn $1,200 in just 4 years. what is the annual interest rate for

Ray Of Light [21]

Use the formula I=Prt
1200=5000*4r
1200/20000=r = 0.06 or 6% interest
Have a nice day :D

8 0

4 years ago