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3 years ago

The triangle has side lengths 10cm, 24cm, and 28cm, is it a right triangle? Explain please i dont understand

2 answers:

8 0

In every right triangle, if you add up the squares of the two
shorter sides, you get the square of the longest side. If you
don't then it's not a right triangle.

10² = 100
24² = 576

100 + 576 = 676

676 is the square of 26.
It's NOT the square of 28.

So 10 - 24 - 28 is not a right triangle.

Arada [10]3 years ago

8 0

$28^2=10^2+24^2\\
784=100+576\\
784=776
$

It's not.

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Megan and Suzanne each have a plant. They track the growth of their plants for four weeks. Whose plant grew at a faster rate, an

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In science, rate is a quantity measured with respect to another measured quantity. For the data given, we get the rate of each by calculating the slope. We do as follows:

Megan's rate = 12 - 4.5 / 4 -1 = 2.5 inches per week
Suzanne's rate = 11 - 5 / 4-1 = 0.5 inches per week

Therefore, the plant that grew at a faster rate would be Megan’s at 2.5 inches per week.

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2 years ago

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Which function has the greatest rate of exponential growth?

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Answer:

Step-by-step explanation:

Here, we want to find which of the expressions have the greatest rate of exponential growth.

The easiest way to go about this is have a substitution for the term t;

Let’s say t = 6

Thus;

h(t) = 1.18^1 = 1.18

K(t) = 0.375^6 = 0.002780914307

f(t) = 1.36^6 = 6.327518887936

g(t) = 0.86^6 = 0.404567235136

Another way to find this is to express each as a sum of 1

f(t) = (1+ 0.36)^t

g(t) = (1-0.14)^t

k(t) = (1-0.625)^t

We can see clearly that out of all the terms in the brackets asides 1, 0.36 is the biggest in value

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3 years ago

A class of 24 students is planning a field trip to a science museum. A nonrefundable deposit of $50 is required for the day-long

deff fn [24]

Let c = cost, s the number of students
Then;
C=50+4.5s
For the 24 students;
C=50+4.5(24)
C=50+108
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3 years ago

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The perimeter of an equilateral triangle is 3 (+ 5). The perimeter of a rectangle is 2 (2x - 3) + 2(2). If the perimeters of the

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Answer:

3.25

Step-by-step explanation:

Perimeter of triangle = 3(5) = 15 cm

Perimeter of rectangle = 2(2x - 3 + 4)

Perimeter = 2(2x + 1)

Perimeter = 4x + 2

4x + 2 = 15

4x = 15 - 2

4x = 13

x = 13/4

x = 3.25

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3 years ago

Professor Isaac Asimov was one of the most prolific writers of all time. Prior to his death, he wrote nearly 500 books during a

svp [43]

Answer:

Step-by-step explanation:

n = sample size = 5

a) Let us determine the sum

$\sum x_i= 100+200+300+400+490=1490$

$\sum x_i^2= 100^2+200^2+300^2+400^2+490^2=540100$

$\sum y_i = 237+350+419+465+507=1978$

$\sum y_i^2= 237^2+350^2+419^2+465^2+507^2=827504$

$\sum x_i y_i=100 \times 237 + 200\times350+300 \times 419 + 400 \times 465 + 490 \times 507=653830$

Now we can determine $S_x_x, S_x_y, S_y_y$

$S_x_x = \sum x_i^2-\frac{(\sum x_1)^2}{n} \\= 540100 - \frac{1490^2}{5} \\= 96080$

$S_x_y = \sum x_i y_i -\frac{(\sum x_i)(\sum y_i) }{n} \\\\$

$653830 - \frac{1490 \times 1978 }{5} = 64386$

$S_y_y = \sum y_i^2-\frac{(\sum y_i)^2 }{n} = 82750-\frac{1978^2}{5} \\\\= 45007.2$

The estimate b of the slope β is the ratio of $S_x_y$ and $S_x_x$

$b = \frac{S_x_y}{S_x_x}$

$\frac{64386}{96080} = 0.67$

The mean is the sum of all value divide by number of values

$\bar x= \frac{\sum x_i}{n} \\\\= \frac{100+200+300+400+490}{5} \\\\= \frac{1490}{5} = 298$

$\bar y= \frac{\sum y_i}{n} \\\\= \frac{237+350+419+465+507}{5} \\\\= \frac{1978}{5} = 395.6$

The estimate a of the intercept is

$a = \bar y - b \bar x$

$= 395.6 - 0.69 \times 298\\= 195.9$

General least square equation;

$\bar y = \alpha + \beta x$

replace alpha by a = 3 and beta by b = 0.67 in general least equation

y = a + bx

195.9 + 0.67x

Scatter plot is shown in the attached file

x is on the horizontal axis

y is n the vertical axis

The degree of freedom of regression is 1

because we use one variable s predictor variable

$d_f_R = 1$

The degree of freedom of error is the sample size n decrease by 2

$d_f_E =n-2= 5 - 2=3$

Total df is equal to the sum of seperate degree of freedom dfR and dfE

total df = 1 +3 4

$SSR = \frac{(S_x_y)^2}{S_x_x} = \frac{64386^2}{96080} \\\\= 43146.9296$

Total SS =Syy= 45007.2

SSE + Total SS = SSR

= 45007.2 - 43146.9296

= 1860.2705

7 0

3 years ago