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3 years ago

An angle measures 3pi/4 radians. What is this angle's measure, in degrees?

Mathematics

2 answers:

Stels [109]3 years ago

8 0

Answer:

1 radian = 180 / PI degrees

3 PI / 4 radians * 180 / PI the "PI's" cancel and we get

3 / 4 * 180 = 135 degrees

Step-by-step explanation:

Annette [7]3 years ago

5 0

Answer:

135°

Step-by-step explanation:

To convert from radian measure to degree measure

degree measure = radian measure × $\frac{180}{\pi }$ , so

degree = $\frac{3\pi }{4}$ × $\frac{180}{\pi }$

Cancel π on numerator/denominator and 4, 180 by 4, leaving

degree = 3 × 45 = 135°

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Use the quadratic formula to solve the equation.

elena-14-01-66 [18.8K]

Answer:

$\large\boxed{x=\dfrac{5-\sqrt5}{4},\ x=\dfrac{5+\sqrt5}{4}}$

Step-by-step explanation:

$\text{The quadratic formula for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac$

$\text{We have the equation:}\ 4x^2-10x+5=0\\\\a=4,\ b=-10,\ c=5\\\\b^2-4ac=(-10)^2-4(4)(5)=100-80=20>0\\\\x=\dfrac{-(-10)\pm\sqrt{20}}{2(4)}=\dfrac{10\pm\sqrt{4\cdot5}}{8}=\dfrac{10\pm\sqrt4\cdot\sqrt5}{8}=\dfrac{10\pm2\sqrt5}{8}\\\\=\dfrac{2(5\pm\sqrt5)}{8}=\dfrac{5\pm\sqrt5}{4}$

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3 years ago

What is the value of c?

GaryK [48]

Answer:

180-96 will be the value for c

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3 years ago

Quincy deposits $400 in a new bank account that earns 4 simple interest per year. What is the total amount in the account after

Kobotan [32]

Ÿū tj Yates tu hamase de Beas

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2 years ago

What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = 2(x + 2)^2 + 1.

nikitadnepr [17]

Answer:

The graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up.

Step-by-step explanation:

The base of the quadratic function is

$f(x) = {x}^{2}$

We can transform this function to look narrower or wider.

Looking narrower is termed a stretch.

This happens when a>1

Looking wider is termed a compression.

This happens when 0<a<1

We can also

$g(x) = a {(x + h)}^{2} + k$

+h moves the parent graph to the left by h units

-h moves the parent graph to the left by h units.

+ k moves the parent function up by k units

- k moves the parent function down by k units.

The change that occurs to

$f(x) = {x}^{2}$

given

$f(x) = 2( {x + 2)}^{2} + 1$

is that, the graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up

Therefore the last choice is the correct answer.

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3 years ago

Solve by factoring<br> x^2-10=9x

BabaBlast [244]

Answer:

x=10

Step-by-step explanation:

x^2 - 10 - (9x) = 0

x^2 - 9x - 10 = 0

(x - 10) + (x + 1) = 0

x= 10

x = -1

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2 years ago