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3 years ago

When multiplying with decimals...

Mathematics

1 answer:

laiz [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Decimal place can be counted before multiplying. The multiply number without decimals, when you get the answer add the decimal place back.

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Evaluate tan(cos^-1 3/5) and assume that all angles are in Quadrant I.

lorasvet [3.4K]

Answer:

Option c

Step-by-step explanation:

We assume that the angle is in the first quadrant.

Observe the attached image.

if $u = cos ^{-1}(\frac{3}{5})$

So:

$cosu = \frac{3}{5}$

By definition:

$cosu= \frac{adjacent}{hypotenuse}$

So:

adjacent side = 3

hypotenuse = 5.

Observe the attached image

We find the opposite side "x" using the Pythagorean theorem.

$x=\sqrt{5^2 -3^2} \\x = 4$

Then, for the angle u:

$tanu = \frac{opposite}{adjacent}\\\\tanu = \frac{x}{3}\\\\tanu = \frac{4}{3}$

4 0

3 years ago

On what interval(s) of x is f(x) increasing?

Stels [109]

Answer:

Increasing → (-∞, -0.5)

Decreasing → (-0.5, ∞)

Step-by-step explanation:

From the picture attached,

Vertex of the parabola represents the highest point of the curve of a quadratic function 'f'.

Left part from the vertex is increasing and the right side is increasing.

x-coordinates of the vertex,

x = -0.5

Therefore, graph of the function is increasing in the interval (-∞, -0.5)

And decreasing in the interval (-0.5, ∞).

6 0

3 years ago

Midpoint of (2,4) and (2, -7)

slega [8]

Step-by-step explanation:

soln:

let,

(x1,y1) =(2,4)

(x2,y2)=2,-7)

Now,

By midpoint formula,

×= x1+x2

= 2+2

=4

=2,,

And,

Y=y1+y2

=4-7

= -3

Hence ,

The mispoint between points (2,4) and (2,-7) is (2,-3 )

6 0

2 years ago

What is the slope of the line? what is the equation of the line?

sertanlavr [38]

Answer:

The slope of the line is 4/2, or 2.

The equation of the line is y + 1 = 2(x − 1)

<h2>Hope This Helped!</h2>

8 0

3 years ago

Which inequality below compares 1 and -7 correctly? A. 1>-7 or B. 1<-7

AfilCa [17]

1>-7 is the answer hope it helps you

3 0

3 years ago

Read 2 more answers