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2 years ago

In triangle ABC, AB = 11 cm, BC = 9 cm and CA = 10 cm. Find the area of triangle ABC.

Mathematics

1 answer:

max2010maxim [7]2 years ago

7 0

Answer:

Area = 42.43 square cm

Step-by-step explanation:

Using Heron's Formula :

$Area = \sqrt{s\times (s-a) \times (s-b) \times(s -c)} \ , \ where \ s \ =\ \frac{a+ b+ c}{2}$

Find Area :

$s = \frac{11 + 9 + 10 }{2} = \frac{30}{2} = 15$

$Area = \sqrt{15 \times ( 15 - 11 ) \times { (15 - 9 ) \times ( 15 -10)}\\\\$

$= \sqrt{15 \times 4 \times 6 \times 5}\\\\=\sqrt{1800}$

$= 42 . 43 \ cm^2$

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Question: Find The Sum Of The Integers From -6 To 58 Of Ss. O 1,500 O 1,734 O 1,690 O 1,621

REY [17]

Answer:

The Sum Of The Integers From -6 To 58 is 1690.

Step-by-step explanation:

Given,

$a=-6$

$T_n=58$

We have to find out the sum of integers from -6 To 58.

Firstly we will find out the total number of terms that is 'n'.

Here $a_1=-6\ and\ a_2=-5$

$\therefore d=a_2-a_1=-5-(-6)=-5+6=1$

Now we use the formula of A.P.

$T_n=a+(n-1)d$

On substituting the values, we get;

$58=-6+(n-1)1\\\\n-1=58+6\\\\n-1=64\\\\n=64+1=65$

So there are 65 terms in between -6 To 58.

That means we have to find the sum of 65 terms in between -6 To 58.

Now we use the formula of Sum of n_terms.

$S_n=\frac{n}{2}(2a-(n-1)d)$

On substituting the values, we get;

$S_{65}=\frac{65}{2}(2\times-6+(65-1)1)\\\\S_{65}=\frac{65}{2}(-12+64)\\\\S_{65}=\frac{65}{2}\times52\\\\S_{65}=65\times26=1690$

Hence The Sum Of The Integers From -6 To 58 is 1690.

5 0

3 years ago

0.0007 in standard form

zhannawk [14.2K]

—————>>>>>>>. 7x10^-4

5 0

3 years ago

Read 2 more answers

What’s the answer to 14?

vfiekz [6]

Answer:

|t -(-5)| = 1.5
[-6.5, -3.5] = [minimum, maximum]

Step-by-step explanation:

The magnitude of the difference between the temperature (t) and -5 will be 1.5 at the limits:

|t -(-5)| = 1.5

This is equivalent to two equations:

t +5 = -1.5
t +5 = 1.5

In each case, the equation is solved by subtracting 5 from both sides:

t = -6.5 . . . . minimum allowed temperature
t = -3.5 . . . . maximum allowed temperature

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3 years ago

For a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice. The correlation is

olga nikolaevna [1]

Answer:

Step-by-step explanation:

Given that for a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice.

The correlation is r = 0.9

If you had measured tail length in centimeters instead of millimeters, what would be the correlation?

For this we must understand the meaning of correlation and formula

Correlation is a measure of linear association between the two variables and always lie between -1 and 1

This is got by dividing covariance of (x,y) by product of std deviation of x and y

So because we changed the units of length correlation coefficient would not change.

It would remain the same as 0.90

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3 years ago

Solve for x: −2(x + 3) = −2(x + 1) − 4. 2 3 All real numbers No solution

Viktor [21]

Answer: All real numbers

Step-by-step explanation:

−2(x + 3) = −2(x + 1) − 4

-2x -6 = -2x -2 -4

-2x -6 = -2x -6

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3 years ago

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