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marysya [2.9K]
3 years ago
12

A botanist uses the representations below to show the heights in inches, h, of different plants over a period of time, t. Plant

A Time in weeks, t 60 80 100 120 Height in inches, h 90 120 150 180 Plant B If the growth patterns continue, how much taller is the tallest plant than the shortest plant at 120 weeks of growth? 180 inches 200 inches 270 inches 280 inches
Mathematics
2 answers:
Amanda [17]3 years ago
7 0

Answer:200

Step-by-step explanation:

Flura [38]3 years ago
5 0

200 inches

hope that helps ;)

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Three right triangles are drawn in the coordinate plane,
SashulF [63]

Answer:

Triangle A:

- smaller leg = 3

- longer leg = 10

- hypotenuse = 10.4

Traingle B:

- smaller leg = 4

- longer leg = 13

- hypotenuse = 13.6

Triangle C:

- smaller leg = 5

- longer leg = 7

- hypotenuse = 8.6

Step-by-step explanation:

Let's find the distance of the legs for the 3 right triangles.

<u>Triangle A</u>

The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:

SL_{A} = 8 - 5 = 3

Hence, the lenght of the smaller leg is 3.

The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:

LL_{A} = 2 - (-8) = 10

Then, the length of the longer leg is 10.  

Now, we can find the hypotenuse (H) by using Pitagoras:

H_{A} = \sqrt{SL_{A}^{2} + LL_{A}^{2}} = \sqrt{3^{2} + 10^{2}} = 10.4

<u>Triangle B</u>

The SL is from (3, -9) to (7, -9)

The length of the SL is:

SL_{B} = 7 - 3 = 4

The LL is from (7, -9) to (7, 4)

The length of the LL is:

LL_{B} = 4 - (-9) = 13

The hypotenuse is:

H_{B} = \sqrt{4^{2} + 13^{2}} = 13.6

<u>Triangle C</u>

The SL is from (-10, -6) to (-10, -1)

The length of the SL is:

SL_{C} = -1 - (-6) = 5

The LL is from (-10, -6) to (-3, -6)  

The length of the LL is:

LL_{C} = -3 - (-10) = 7

The hypotenuse is:

H_{C} = \sqrt{5^{2} + 7^{2}} = 8.6

I hope it helps you!

5 0
3 years ago
What is the opposite of -2/3
Yuri [45]
The opposite of -2/3 is 2/3
5 0
3 years ago
What is the perimeter of the polygon shown below?
yKpoI14uk [10]

Answer:

I don't see the polygon but all you need to do is add up all the sides.

6 0
3 years ago
The side length of Tom's square garden was 12 m. He used of the garden for growing roses. What area of his garden was used for g
miv72 [106K]

Answer:

144

Step-by-step explanation:

Because area is side times side, and it was a square garden, so that means that there is the same side length on each side so just 12 x 12 is 144.

6 0
3 years ago
Read 2 more answers
According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?
bogdanovich [222]

Answer:

Seven-thirds

Step-by-step explanation:

The give equation is f(x)=9x^8+9x^6-12x+7.

The leading coefficient is 9

The constant term is 7

According to the rational root theorem, the ratio of factors the constant terms to that of the coefficient of the leading term are all possible rational roots of the given polynomial.

Base on this theorem, \frac{7}{3} or seven thirds is a potential root because the numeration is a factor of 7 and the denominator is a factor of 9.

5 0
4 years ago
Read 2 more answers
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