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Tomtit [17]
3 years ago
6

3) Round answer to the nearest hundredth. *

Mathematics
1 answer:
DochEvi [55]3 years ago
5 0

Answer:

80 mm

Step-by-step explanation:

Pythagorean theorm can be applied here to solve for the length of the last leg, a^{2} + b^{2} = c^{2}, where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:

b = √c^2 - √a^2

  = √(82)^2 - √(18)^2

  = √6724 - √324

  = √6400

  = 80 mm

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A smartphone costs ​$120. Sales tax is 5​%. What is the total​ cost, including​ tax?
miv72 [106K]

Since 100% = $120,

105% = $126.

3 0
4 years ago
The length of a rectangular garden is 3yd more than twice it’s width. The perimeter of the garden is 36yd. What are the width an
Basile [38]
2L + 2W = 36
2(3+2W) + 2W = 36
6 + 4W + 2W = 36
6W + 6 = 36
        -6  = -6
6W=30
W= 30/6 = 5     L= 3 + 2W = 3 +2 (5) = 3 +10= 13

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7 0
4 years ago
Please help me solve this! I’ve been stuck for ages! Thankyou
polet [3.4K]

Answer:

y = sin(x- pi/2)

Step-by-step explanation:

Please see the attached image to see your graphs.

By simple inspection we can see that the sine is shifted pi/2 to the right.

We know this because sines are periodic functions with a period T = 2*pi

We can also see that the maximum point of the graph (y = 1) got shifted by a fourth of the period.

And finally, since we want to shift the graph to the right, we need to substract from the argument of the sine term.

7 0
3 years ago
in parallelogram ABCD, AC is diagonal, the measure <ABC is 40°, and the measure of <ACD IS 57°. what is the measure of &lt
Nutka1998 [239]

Answer: \angle CAD = 83^\circ Option D


Step-by-step explanation:

In this question we use properties of parallelogram and angle sum property of a triangle.

In parallelogram ABCD


\angle ABC=40^\circ


As, we know that opposite angles of parallelogram are equal


Therefore,


\angle ABC =\angle ADC =40^\circ


Now, in triangle ADC

We know that sum of all the angles of a triangle is =180^\circ


\angle ACD +\angle ADC +\angle DAC =180^\circ


57^\circ +40^\circ +\angle DAC =180^\circ


97^\circ + \angle DAC = 180^\circ

Subtracting 97 from both sides we get


\angle DAC = 180^\circ - 97^\circ


\angle DAC = 83^\circ


Measure of \angle CAD = 83^\circ


3 0
3 years ago
If f(x)=X-3/x and g(x) = 5x – 4, what is the domain of (fog)(x)?<br><br><br> NEED HELP FAST!!
dedylja [7]

Answer:

Step-by-step explanation:

This is function composition. We will take the g function and plug it into the f function wherever we see an x. That will look like this when it's done but before it's simplified:

f(g(x))=\frac{5x-4-3}{5x-4} and that can be simplified down to

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The domain of this function will be all real numbers EXCEPT for the one(s) that cause the denominator to become undefined. Set the denominator equal to 0 and solve for x:

5x - 4 = 0 so

5x = 4 and

x = 4/5

In other words, D = {x | x ≠ 4/5}

6 0
3 years ago
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