MATHEMATICS HIGH SCHOOL

Which expression is equivalent to the trigonometric expression

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Answer 1

Answer:

Answer:

A: $csc(\theta)$

Step-by-step explanation:

Let's rewrite the expression in terms of sine and cosine, then simplify what can be simplified.:

$sin(\theta) \cdot (cos^2(\theta))/(sin^2(\theta))\cdot \frac 1{cos^2(\theta)} =\n\frac1{sin(\theta)} = csc(\theta)$

$388.36

Step-by-step explanation:

let us assume that the amount in her accounts compounds annually

Given data

principal p= $160

interest rate r= 3%= 0.03

time t= 30 years

At the end of 30 years the money she will will have can be expressed as

A= P(1+r)^t

A= 160(1+0.03)^30

A= 160(1.03)^30

A= 160*2.42726

A= $388.36

in 30 years she will have $388.36

Simplify. All Variables represent (3√200)*(4√32)

Answers

$(3 √(200)) \cdot (4 √(32))=(3 √(100\cdot 2)) \cdot (4 √(16\cdot 2))=(3 \cdot √(100 )\cdot √(2)) \cdot (4 \cdot √(16 )\cdot √(2))=\n \n= ( 3 \cdot 10\cdot √(2)) \cdot (4\cdot 4\cdot √(2))= 3 \cdot 10 \cdot 4\cdot 4\cdot √(2) \cdot √(2)=480\cdot √(2\cdot 2)=\n \n=480\cdot √(4)=480\cdot 2=960$

First let's see what we got

$√(200)=√(100*2)=10√(2)$

and

$√(32)=√(2^5)=√(2^4*2)=4√(2)$

then

$(3√(200))*(4√(32))$

replacing

$3*(10√(2))*(4*4√(2))$

$30√(2)*16√(2)$

$480*√(2)*√(2)$

$480*2$

$\boxed{\boxed{960}}$

The equation of the line of best fit of a scatter plot is y = 12x + 7. What is the slope of the equation? −12 −7 12 7

Answers

Well,

Slope-intercept form is given as follows:
y = mx + b

In this equation, "m" is the slope, and "b" is the y-intercept.

y = 12x + 7

We can clearly see that the 12 in the equation is the "m" in the general slope-intercept form.

Therefore, the slope of the equation is 12.

i would say 12 i think

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Which expression is equivalent to the trigonometric expression

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