Solve two step equations with fractions

Please help me asap!

dusya [7]

7. Law of cosines

a² = b² + c² - 2bc cos A

where a is the side opposite to ∠A and b and c are adjacent sides to ∠A.

Here, a=BC= 3.8

b=CA =4.8

c = AB = 3.2

Substituting the values in the formula,

3.8² = 4.8² + 3.2² - 2(4.8)(3.2) cos A

30.72 cos A =23.04 + 10.24 -14.44=18.84

cos A = 18.84/30.72 = 0.6133

∴ cos A =0.6133

8. It is a right angled triangle.

Pythagoras theorem

hypotenuse² = Perpendicular² + base²

Here, hypotenuse = 6.7, base = 5.4

Perpendicular² = 6.7² -5.4²=44.89 - 29.16 =15.73

Perpendicular = √15.73 = 3.966 = 3.97

∴ The length of the missing side is 3.97.

9. Given: Side of new cube = 5 * Side of original cube

Let the side of the original cube measure 1 unit.

So, volume of original cube = side³ = 1

The side of new cube = 5 * 1 =5 units

So, volume of new cube = side³ = 5³ =125

The volume of the bigger cube is 125 times larger than the original cube.

10. Given : Height of the cone = 7 in

Radius of the base of the cone = 2 in

Volume of cone = (1/3) πr²h

=(1/3)π(2²)(7)

=29.32 cubic inches

∴ Volume of the cone is 29.32 cubic inches.

11. The given equation is:

x² -18x +10 =0

(x² -18x + 9²) +10 -9² =0

(x-9)²-71 =0

(x-9)² =71

x-9 =√71

x = 9 + √71

∴ x = 9+√71

7 0

3 years ago

What is the slope of the line that contains these points?<br> (-1,10) (0,18) (1,26) (2,34)

-BARSIC- [3]

The slope of the line that contains these points (-1 , 10) , (0 , 18) , (1 , 26) ,

(2 , 34) is 8

Step-by-step explanation:

You can find the slope of a line from any two points lie on it

The formula of the slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points lie on it

∵ A line contains these points (-1 , 10) , (0 , 18) , (1 , 26) , (2 , 34)

- To find the slope of the line chose any to points

∵ Points (0 , 18) and (1 , 26) lie on the line

∴ $x_{1}$ = 0 and $x_{2}$ = 1

∴ $y_{1}$ = 18 and $y_{2}$ = 26

- Substitute these values in the formula of the slope above

∵ $m=\frac{26-18}{1-0}$

∴ $m=\frac{8}{1}$

∴ m = 8

The slope of the line that contains these points (-1 , 10) , (0 , 18) , (1 , 26) , (2 , 34) is 8

Learn more:

You can learn more about the slope of a line in brainly.com/question/12954015

#LearnwithBrainly

7 0

3 years ago

What is the solution to system of linear equations graphed here?

Ghella [55]

Answer:

b

Step-by-step explanation:

5 0

3 years ago

my 4th time another hunnid points easy right cmon now Your weclome! Cmon dont be rude i just helped you why dont you do me a fav

frosja888 [35]

Answer:

thank you sm!

Step-by-step explanation:

I hope you have a good day / night ^^

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6 0

3 years ago

Describe the sampling distribution of Phat. Assume the size of the Population is 25,000. N = 500 P = 0.4 Determine the Mean of t

PIT_PIT [208]

Answer:

0.022

Step-by-step explanation:

Given that :

Population size = 25000

n = 500 ; p = 0.4

Size of random sample (n) = 500

5% of population size : 0.05 * 25000 = 1250

Distribution is normally distributed since n < 5% of population size

Hence, the mean of the distribution = p = 0.4

Standard deviation = √((pq) /n)

q = 1 - p ; q = 1 - 0. 4 = 0.6

Standard deviation = √((0.4 * 0.6) /500)

Standard deviation = 0.0219089

= 0.022

5 0

3 years ago