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Travka [436]
3 years ago
11

The areas of the squares adjacent to two sides of a right triangle are 29.2529.2529, point, 25 units^2 2 squared and 131313 unit

s^2 2 squared. Find the length, xxx, of the third side of the triangle.
Mathematics
2 answers:
Morgarella [4.7K]3 years ago
6 0

Answer:

It is 6.5 units

bonufazy [111]3 years ago
3 0

Answer:

6.5 units

Step-by-step explanation:

We are given that

Two adjacent sides of right triangle

Suppose a,b and c are sides of right triangle.

a^2=29.25squared units

b^2=13square units.

Length of third side,c=x units

We have to find the length of third side of the triangle.

x^2=a^2+b^2

By using Pythagoras theorem

(Hypotenuse)^2=(Perpendicular\;side)^2+(Base)^2

x^2=29.25+13

x=\sqrt{29.25+13}

x=6.5units

Hence, the length x of the third side of the triangle=6.5 units

You might be interested in
What is BC ?<br><br><br><br> Enter your answer in the box.<br><br> units?
White raven [17]

Answer:

The length of the BC is 25 units .

Step-by-step explanation:

As shown in the diagram

In ΔABC  

∠B = ∠C (As given)

(If the angles are equal than their opposite sides are also equal .)

Thus

AB = BC

As given

AB = 4x + 4

AC = 6x - 14

Thus

4x + 4 = 6x - 14

6x - 4x = 14 + 4

2x = 18

x = \frac{18}{2}

x = 9

Put in the

BC = 2x + 7

     = 2 × 9 + 7

     = 18 + 7

     = 25 units

Therefore the length of the BC is 25 units .



3 0
3 years ago
An airplane flies 2700 miles to Los Angeles to NYC. When the plane flies back to LA, is it flying in a negative direction? use a
dolphi86 [110]

Answer:

Distance = abs(-1700)

Distance = 1700 miles

Step-by-step explanation:

NYC is located East of Los Angels.

The Airplane flies from Los Angeles to the left direction from NYC.

Which is negative direction.

Therefore, distance = -1700

Here the distance cannot be negative even though if it flies in negative direction.

Therefore, we use the absolute value.

The absolute value of a number is always positive.

So, distace = abs( -1700)

Distance = 1700 miles.

Hope this will help you understand the concept.

Thank you.

5 0
3 years ago
Which ratio is porportional to 18/21? A.2/3 B. 30/35 C. 36/48 D.1/3
defon
You can solve this problem by applying the proccedure below:
 
 You have:
 
 a) 18/21=2/3
 18x3/21x2
 36≠42 (2/3 is not proportinal to 18/21).
 
 b)18/21=30/35
 18x35/21x30
 630=630  (30/35 is proportional to 18/21)
 
 c)18/21=36/48
 18x48/21x36
 864≠756  (36/48<span> is</span><span> not proportinal to 18/21)
</span> 
 d)18/21=1/3
 18x3/21x1
 54≠21  (<span> 1/3 is</span><span> not proportinal to 18/21)
</span> 
 Therefore, you can conclude that the correct option is: B.30/35
8 0
2 years ago
Suppose you are interested in the effect of skipping lectures (in days missed) on college grades. You also have ACT scores and h
DIA [1.3K]

Answer:

a) For this case the intercept of 2.52 represent a common effect of measure for any student without taking in count the other variables analyzed, and we know that if HSGPA=0, ACT= 0 and skip =0 we got colGPA=2.52

b) This value represent the effect into the ACT scores in the GPA, we know that:

\hat \beta_{ACT} = 0.015

So then for every unit increase in the ACT score we expect and increase of 0.015 in the GPA or the predicted variable

c) If we are interested in analyze if we have a significant relationship between the dependent and the independent variable we can use the following system of hypothesis:

Null Hypothesis: \beta_i = 0

Alternative hypothesis: \beta_i \neq 0

Or in other wouds we want to check if an specific slope is significant.

The significance level assumed for this case is \alpha=0.05

Th degrees of freedom for a linear regression is given by df=n-p-1 = 45-3-1 = 41, where p =3 the number of variables used to estimate the dependent variable.

In order to test the hypothesis the statistic is given by:

t=\frac{\hat \beta_i}{SE_{\beta_i}}

And replacing we got:

t = \frac{-0.5}{0.0001}=-5000

And for this case we see that if we find the p value for this case we will get a value very near to 0, so then we can conclude that this coefficient would be significant for the regression model .

Step-by-step explanation:

For this case we have the following multiple regression model calculated:

colGPA =2.52+0.38*HSGPA+0.015*ACT-0.5*skip

Part a

(a) Interpret the intercept in this model.

For this case the intercept of 2.52 represent a common effect of measure for any student without taking in count the other variables analyzed, and we know that if HSGPA=0, ACT= 0 and skip =0 we got colGPA=2.52

(b) Interpret \hat \beta_{ACT} from this model.

This value represent the effect into the ACT scores in the GPA, we know that:

\hat \beta_{ACT} = 0.015

So then for every unit increase in the ACT score we expect and increase of 0.015 in the GPA or the predicted variable

(c) What is the predicted college GPA for someone who scored a 25 on the ACT, had a 3.2 high school GPA and missed 4 lectures. Show your work.

For this case we can use the regression model and we got:

colGPA =2.52 +0.38*3.2 +0.015*25 - 0.5*4 = 26.751

(d) Is the estimate of skipping class statistically significant? How do you know? Is the estimate of skipping class economically significant? How do you know? (Hint: Suppose there are 45 lectures in a typical semester long class).

If we are interested in analyze if we have a significant relationship between the dependent and the independent variable we can use the following system of hypothesis:

Null Hypothesis: \beta_i = 0

Alternative hypothesis: \beta_i \neq 0

Or in other wouds we want to check if an specific slope is significant.

The significance level assumed for this case is \alpha=0.05

Th degrees of freedom for a linear regression is given by df=n-p-1 = 45-3-1 = 41, where p =3 the number of variables used to estimate the dependent variable.

In order to test the hypothesis the statistic is given by:

t=\frac{\hat \beta_i}{SE_{\beta_i}}

And replacing we got:

t = \frac{-0.5}{0.0001}=-5000

And for this case we see that if we find the p value for this case we will get a value very near to 0, so then we can conclude that this coefficient would be significant for the regression model .

7 0
2 years ago
PLEASE HELP I DONT KNOw all THE DEFINITIONS TO THESE- MARK BRAINLIEST TOO
frozen [14]

Answer:

Factor

−

1

out of

−

3

x

2

+

4

x

−

7

.

−

(

3

x

2

−

4

x

+

7

)

Step-by-step explanation:

4 0
3 years ago
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