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bija089 [108]
3 years ago
10

Yan is climbing down a ladder. Each time he descends four rungs on the ladder, he stops to see how much farther he has to go. Wh

ich word in the problem indicates that a negative integer should be used?
Mathematics
1 answer:
kykrilka [37]3 years ago
5 0

Answer:

"descends"

Step-by-step explanation:

The word descend means to move or fall downwards. If we were to think of the ladder as the y-axis of a coordinate grid we could see that as you move further down on the axis the numbers turn to negative which indicate that the word descend means that a negative integer should be used :)

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Write -1/6, 5/3, -5/6 in order from least to greatest
mash [69]
The easiest way to compare fraction is to make them all have the same denominator and then you can just compare the numerators...

-1/6, (5/3)(2/2), -5/6

-1/6, 10/6, -5/6  so from least to greatest

-5/6, -1/6, 10/6

-5/6, -1/6, 5/3
5 0
3 years ago
Suppose theta is an angle in the standard position whose terminal side is in quadrant 4 and cot theta = -6/7. find the exact val
zimovet [89]

First off, let's notice that the angle is in the IV Quadrant, where sine is negative and the cosine is positive, likewise the opposite and adjacent angles respectively.

Also let's bear in mind that the hypotenuse is never negative, since it's simply just a radius unit.

\bf cot(\theta )=\cfrac{\stackrel{adjacent}{6}}{\stackrel{opposite}{-7}}\qquad \impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{6^2+(-7)^2}\implies c=\sqrt{36+49}\implies c=\sqrt{85} \\\\[-0.35em] ~\dotfill

\bf tan(\theta)=\cfrac{\stackrel{opposite}{-7}}{\stackrel{adjacent}{6}} ~\hfill csc(\theta)=\cfrac{\stackrel{hypotenuse}{\sqrt{85}}}{\stackrel{opposite}{-7}} ~\hfill sec(\theta)=\cfrac{\stackrel{hypotenuse}{\sqrt{85}}}{\stackrel{adjacent}{6}} \\\\\\ sin(\theta)=\cfrac{\stackrel{opposite}{-7}}{\stackrel{hypotenuse}{\sqrt{85}}}\implies \stackrel{\textit{and rationalizing the denominator}}{sin(\theta)=\cfrac{-7}{\sqrt{85}}\cdot \cfrac{\sqrt{85}}{\sqrt{85}}\implies sin(\theta)=-\cfrac{7\sqrt{85}}{85}}

\bf cos(\theta)=\cfrac{\stackrel{adjacent}{6}}{\stackrel{hypotenuse}{\sqrt{85}}}\implies \stackrel{\textit{and rationalizing the denominator}}{cos(\theta)=\cfrac{6}{\sqrt{85}}\cdot \cfrac{\sqrt{85}}{\sqrt{85}}\implies cos(\theta)=\cfrac{6\sqrt{85}}{85}}

6 0
3 years ago
PLEASE ANSWER DUE IN 20 MIN
professor190 [17]

Answer:

Read

Step-by-step explanation:

Mean: add all the values and divide by the number of values

Median: when in order from least to greatest, the middle value

Mode: The value that ocoours most often

5 0
3 years ago
Mrs. Delgado needs to buy 160 begonias for her flowerbed. At the prices shown, how much would she save if she bought them by the
wlad13 [49]

Answer:

\$46.40

Step-by-step explanation:

step 1

Find out the price of 160 begonias, if she bought them separately

160(\$1.79)=\$286.40

step 2

Find out the price of 160 begonias, if she bought them by the flat

Remember that

One flat are 20 plants

so

For 160 plants are needed

160/20=8 flat

8(\$30)=\$240

step 3

Find out the difference

\$286.40-\$240=\$46.40

8 0
3 years ago
If ABCD is a parallelogram. BC=13 and AB=5, what is the perimeter of the parallelogram?
UkoKoshka [18]

Answer:

36

Step-by-step explanation:

In a Parallelogram , it is important to note that opposite sides are equal to each other.

We are given parallelogram ABCD.

We have sides: AB, BC, CD, AD.

Since opposite sides are equal then:

AB = CD

BC = AD

The perimeter of a parallelogram is the sum of all its sides.

In the question: BC=13 and AB=5

Hence,

AB = CD = 5

BC = AD = 13

Perimeter of Parallelogram ABCD = 5 + 5 + 13 + 13

= 36.

6 0
3 years ago
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