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STatiana [176]
3 years ago
9

Use front-end estimation to estimate the sum. 56.7 + 23.44

Mathematics
1 answer:
Reika [66]3 years ago
7 0
57+23 = 80
not rounded it's 80.14
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4 cos²x – 1=0<br><br> What is the solution?
andreev551 [17]

Answer:

$x=\frac{\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{5\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{2\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{4\pi }{3}+2\pi n, n \in \mathbb{Z}$

or

$x=\frac{\pi}{3}+\pi n, n \in \mathbb{Z} $

$x=\frac{2\pi }{3}+\pi n, n\in \mathbb{Z}$

Step-by-step explanation:

4\text{cos}^2(x)-1=0\\4\text{cos}^2(x)=1\\

$cos(x)=\pm\sqrt{\frac{1}{4} } $

$cos(x)=\pm\frac{1}{2}  $

So, when cos(x) is equal to

$\frac{1}{2}   \text{ and } -\frac{1}{2}$    ?

For

$cos(x)=\frac{1}{2} $

We are talking about x = 60º and x = 300º, Quadrant I and IV, respectively. In radians:

$x=\frac{\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{5\pi }{3}+2\pi n, n \in \mathbb{Z}$

or

$x=\frac{\pi}{3}+\pi n, n \in \mathbb{Z} $

For

$cos(x)=-\frac{1}{2} $

We are talking about x = 120º and x = 240º, Quadrant II and III, respectively. In radians:

$x=\frac{2\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{4\pi }{3}+2\pi n, n \in \mathbb{Z}$

or

$x=\frac{2\pi }{3}+\pi n, n\in \mathbb{Z}$

6 0
3 years ago
Dakota is saving money to buy a new ferret cage.In the the first week she saved $24 each week she saves $6 how much money will S
MissTica
$24 x 6 = 144   Minus the $6 she spent per week -$36  = $108

I guess that is what you meant when you typed "she saved $24 each week she saves $6???
3 0
4 years ago
Read 2 more answers
Using the x intercept method what are all the real solutions of the equation x^3-8x^2+9x+18=0
Paul [167]
Give me an idea of what you think?

7 0
4 years ago
A parabola is defined by the equation x = 5y2 In which direction will the parabola open?
Sedaia [141]

Answer:

C) To the right.

Step-by-step explanation:

3 0
3 years ago
Find the seventh term of the
jekas [21]

Answer:

T_7 = \frac{64}{729}

Step-by-step explanation:

Given

a =1

r = \frac{2}{3}

Required

Determine the 7th term

The nth term of a gp is:

T_n = a * r^{n-1

So, we have:

T_7 = 1 * \frac{2}{3}^{7-1

T_7 = 1 * \frac{2}{3}^{6

T_7 = 1 * \frac{2^6}{3^6}

T_7 = 1 * \frac{64}{729}

T_7 = \frac{64}{729}

6 0
3 years ago
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