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timurjin [86]
3 years ago
11

What is the solution for the equation sinx=cosx?

Mathematics
1 answer:
viva [34]3 years ago
4 0
Complementary angles their sin and cos equal
Thus,
x+x=90
2x=90
x=45 degrees
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jill bought a cd for $1000 that earns 4.2% apr and is compounded monthly. The cd matures in 2 years. How much will this cd be wo
OLEGan [10]
A = P(1+r/12)^12t, where A = amount after two years, P = Initial amount = $1000, r =apr = 4.2% = 0.042, t = period = 2 years

Then,

A = 1000 (1+0.042/12)^12*2 = $1087.47
7 0
3 years ago
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Estimate then find the product of 758×6
Maurinko [17]
700*6=4,200

<em>*4,200 as an estimate.</em>

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

6*(758)

=6(700+50+8)

=4,200+300+48

=4,200+348

=4,548
5 0
3 years ago
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Jimmy has a window frame in his house. The window measures to have a width of 36 inches and a height of 48 inches. What is the d
Olenka [21]

Answer:

B.60 inches

Step-by-step explanation:

you know you can consider two triangles because of the diagonal cut. and the distance wound be √(36²+48²)=60 inches

4 0
2 years ago
The function f(x) = -6x. The graph of g(x) is f(x)vertically stretched by a factor of 7 and reflected in the x-axis. What is the
Vera_Pavlovna [14]

we are given a function

f(x)=-6x

First translation:

The graph of function  is  vertically stretched by a factor of 7

Whenever we vertically stretch any function  by 'a' units

so, we can write it as

g(x)=a\times f(x)

Here, it is vertically stretch by 7

so, we get

g(x)=7\times -6x

g(x)=-42x

Second translation:

Whenever we reflect  any function  about x-axis

we multiply y-value by -1

so, we can write it as

g(x)=-f(x)

Here , it is reflected in the x-axis

so, we can multiply by -1 to y-value

we get

g(x)=-1\times -42x

g(x)=42x.............Answer


3 0
3 years ago
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Use Fermat's Little Theorem to determine 7^542 mod 13.
m_a_m_a [10]

a^{p-1} \equiv 1 \pmod p where p is prime, a\in\mathbb{Z} and a is not divisible by p.

7^{13-1}\equiv 1 \pmod {13}\\7^{12}\equiv 1 \pmod {13}\\\\542=45\cdot12+2\\\\7^{45\cdot 12}\equiv 1 \pmod {13}\\7^{45\cdot 12+2}\equiv 7^2 \pmod {13}\\7^{542}\equiv 49 \pmod{13}

4 0
3 years ago
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