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madreJ [45]
3 years ago
8

For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 12 a

nd the width is 6. For this set of rectangles, calculate the width of a rectangle whose length is 9.
Mathematics
1 answer:
RSB [31]3 years ago
3 0

Answer:

The width is 8 units

Step-by-step explanation:

This is a variation problem we are to work with.

Length is inversely proportional to width, let length be l and width be w

modeling the statement mathematically, we have lw = k where k is the proportionality constant

Now let’s get k from l = 12 and w = 6

k = 12 * 6 = 72

Now for the second rectangle also;

lw = k given l = 9

9w = 72

w = 72/9

w = 8

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Express the number in scientific notation. 780,000,000
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Scientific notation implies that all the zeros are taken away and replaced with a 10 raised to whatever appropriate power would be necessary to make the number in scientific notation equal to the original number.

In the number 780,000,000, we can see that there are 7 zeros, but the number before the zeros has two digits, so we need to tuck the decimal point in there, because the number has to be between 1 and 10 for math reasons.

7.8 ... but what do we raise it to? We know it has to be 10, but to what power? Well, we just count how many places to the left the decimal point has traveled. From the original number, the decimal point shifted 8 places to the left, so that is the number that we will raise the 10 to.

The final number looks like this:

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780,000,000 in scientific notation is <span>7.8 * 10^8
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3 years ago
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What is the equation of the line in slope-intercept form?<br><br> y=_x+_
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y=\frac{4}{3}x+4

Step-by-step explanation:

4 0
3 years ago
f the length of side a is 12 centimeters, m= 36°, and m= 75°, what is the length of side b? Round your response to two decimal p
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Answer:

Option C. is correct

Step-by-step explanation:

In the triangle ABC, vertices are A(12, 8), B(4, 8) and C(4, 14)

AB =

BC =

AC =

In triangle XYZ vertices are X(6,6), Y(4,12) and Z(10, 14)

XY =

YZ =

XZ =

In triangle MNO, vertices are M(4, 16), N(4, 8) and O(-2, 8)

MN =

MO =

NO =

In triangle JKL, vertices are J(14, -2), K(12,2) and L(20, 4)

JK =

KL =

JL =

Now we compare the sides for the congruence

Since AB = MN = 8

BC = NO = 6

AC = OM = 10

So ΔABC ≅ Δ MNO

Option C. is correct

Read more on Brainly.com - brainly.com/question/1747695#readmore

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3 years ago
I will give u 100 points if u can answer this quition pls it is hard for me John has three pieces of rope. One piece was 31 cm l
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Answer:

Add 0.31 + 0.33 + 0.45;

Step-by-step explanation:

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