Find the length of the arc intercepted by central angle 0 = 250° in a circle with radius r =

Solve 2(x + 1) + 4 = 8

mel-nik [20]

Answer:

x=1

Step-by-step explanation:

2(x + 1) + 4 = 8

2x+2+4=8

2x+6=8

2x+6-6=8-6

2x=2

x=1

7 0

3 years ago

Read 2 more answers

Evaluate (−23)×(−23)3 by using the Laws of Exponents

Nikolay [14]

Given:

$\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3$

To find:

The value of given expression by using the Laws of Exponents.

Solution:

We have,

$\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3$

Using the Laws of Exponents, we get

$=\left(-\dfrac{2}{3}\right)^{1+3}$ $[\because a^ma^n=a^{m+n}]$

$=\left(\dfrac{-2}{3}\right)^{4}$

$=\dfrac{(-2)^4}{(3)^4}$ $[\because \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}]$

$=\dfrac{(-2)\times (-2)\times (-2)\times (-2)}{(3)\times (3)\times (3)\times (3)}$

$=\dfrac{16}{81}$

Therefore, the value of given expression is $\dfrac{16}{81}$ .

3 0

3 years ago

50 points please give step by step instruction

fenix001 [56]

Answer:

 x = 90, 199.5, 270, 340.5 degrees

Step-by-step explanation:

cos2x + 2sinx = sin^2x

Change cos2x to 1 - 2sin^2x:

1 - 2sin^2x + 2 sinx = sin^2x

Shift the terms to make it a quadratic equation:

3 sin^2x - 2sinx - 1 = 0

Factorise the quadratic equation:

(sinx - 1)(3sinx + 1) = 0

sin x = 1 or sin x = -1/3

Solve for sin x = 1:

From graph of sin x, x = 90 and 270 degrees when sin x = 1.

x = 90, 270 degrees

Solve for sin x = -1/3

Sin x = -1/3

Basic angle = sin inverse (1/3)

= 19.471 degrees

Since sin x < 0, x is in the 3rd or 4th quadrant

x = 180 + 19.471, 360 - 19.471

x = 199.5, 340.5

Hence, x = 90, 199.5, 270, 340.5 degrees

[Sorry if I am wrong :( ]

8 0

4 years ago

Giving brainliest!!!!!!!!!!

crimeas [40]

It’s C. hope this helped and good luck !!

5 0

3 years ago

Read 2 more answers

Which statement is not always true?

Dafna1 [17]

Which statement is not always true?(1) The product of two irrational numbers is irrational.
(2) The product of two rational numbers is rational.
(3) The sum of two rational numbers is rational.
(4) The sum of a rational number and an irrational number is irrational.
The statement that is not always true is the sum of two rational numbers is rational. The answer is number 3.

6 0

3 years ago