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Likurg_2 [28]
3 years ago
8

9. If the diagonal of a square is 12 centimeters, the area of the square is

Mathematics
1 answer:
SVEN [57.7K]3 years ago
6 0

Answer:

D. 72 cm²

Step-by-step explanation:

The area of a square is given by ;

Area= l² where l = length

Given that the diagonal is 12 cm, let assume length of the square to be l

Apply the Pythagorean relationship where a=b=l

l² + l² = 12²

2 l² = 144

l²= 144/2

l²= 72

l =√72 =8.485 cm

⇒length of the square= l= 8.485 cm

⇒Area of the square= l² = 8.485² = 72 cm²

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Professor wonders whether a student's homework average (X) could be used to predict their final grade in the course (Y) . She ca
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Answer:

The dependent variable is the final grade in the course and is the vriable of interest on this case.

H0: \beta_1 = 0

H1: \beta_1 \neq 0

And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.

Step-by-step explanation:

On this case w ehave the following linear model:

Y= 21.839 +0.724 X

Where Y represent the final grade in the course and X the student's homework average. For this linear model the slope is given by \beta_1 = 0.724 and the intercept is \beta_0 = 21.839

Which is the dependent variable, and why?

The dependent variable is the final grade in the course and is the vriable of interest on this case.

Based on the material taught in this course, which of the following is the most appropriate alternative hypothesis to use for resolving this question?

Since we conduct a regression the hypothesis of interest are:

H0: \beta_1 = 0

H1: \beta_1 \neq 0

And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.

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3 years ago
The linear combination method is applied to a system of equations as shown.
Vika [28.1K]
D is the answer to the question
6 0
3 years ago
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Algebra 1 help!!!!!!!!!
baherus [9]

\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the concept of expo functions.

f(x) = -8(2)^x - 12 ,

for f(0) ,here substitute x = 0

so we get as ,

==> f(0) = -8(2)^0 -12

==> f(0) = -8-12

==> f(0) = -20

hence, f(0) = -20

6 0
3 years ago
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Please provide an answer
Igoryamba

Answer:

Step-by-step explanation:

The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).

Use the opposite angles in an inscribed quadrialteral theorem,

<A + <C = 180

Substitute,

14x - 7 + 8z = 180

Simplify,

22z - 7 = 180

Inverse operations,

22z = 187

z = \frac{187}{22}

Simplify,

z = \frac{17}{2}

Now substitute the value of (z) into the expression given for the measure of angle (<B)

<B = 10z

<B = 10(\frac{17}{2})

Simplify,

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8 0
2 years ago
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What is 1/8y+17+2y-118 please
lisabon 2012 [21]

Answer:

(17y/8) - 101 or (17y - 808) / 8

Step-by-step explanation:

Please enclose the fractional coefficient 1/8 inside paretheses:

(1/8)y + 17 + 2y - 118.

Now combine like terms.  (1/8)y + 2y comes to (1/8)y + 16y/8 = (17/8)y.

We thus have (17/8)y + 17 - 118.  Leaving (17/8)y alone, evaluate 17 - 118:

(17y/8) - 101

You could leave your answer in this form, or combine the terms using the LCD 8:

17y - 808

--------------

       8


3 0
3 years ago
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