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3 years ago

I need some help on these two questions.

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

The length of the arcs are calculated as

arc = circumference of circle × fraction of circle

(13)

arc = 2πr × $\frac{72}{360}$

= 2π × 25 × $\frac{1}{5}$ = 10π units

(14)

arc = 2π × 2 × $\frac{270}{360}$

= 4π × $\frac{3}{4}$ = 3π units

You might be interested in

Calculate the gradient of the straight line which joins A(2,-3) and B(6,9)

Pie

Answer:

Gradient: m = 3

Step-by-step explanation:

m = change in y/change in x

m = $\frac{Y2-Y1}{X2-X1}$

m = $\frac{9-(-3)}{6-(2)}$

m = 12/4

m = 3

5 0

3 years ago

At Dubai metro station, in a week 320 trains arrived. Out of these 5% arrived early and 15% arrived late. How many arrived on ti

dybincka [34]

The number of trains that arrived Dubai metro station on time is; 272 trains.

We are told that 320 trains arrived the Dubai metro station in a week.

Now, we are told that 5% got there early and 15% got there late.

This means, the percentage that got there on time is;

100% - % of trains that got there late.

Therefore, percentage of trains that got there on time is;

100% - 15% = 85%

Since 85% of the trains got there on time, then number of trains that got there on time is;

85% × 320 = 272

Therefore, we can conclude that 272 trains arrived on time.

Read more at; brainly.in/question/33336249

4 0

2 years ago

You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw

VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend, total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

$x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)$

from (i), $x=84-4y-2z$ (*)

put this in (ii) and (iii) we get

$2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)$

from (iv), $y=-\frac{z-92}{7}\ (vi)$

$\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)$

$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$

$\mathrm{Subsititute\:}z=8\text{ in (vi)}$

$y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12$

$\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}$

$x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20$

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

7 0

3 years ago

The length of a rectangle is 6 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?

ss7ja [257]

The correct answer is:  [D]:  " 7.2 units" .
_______________________________________________________
Explanation:
________________________________________________________
Use the Pythagorean theorem:

a² + b² = c² ;

in which:  "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle); and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle; We wish to solve for "c" ;
_______________________________________________

6² + 4² = c² ; Solve for "c" ;

↔ c² = 6² + 4² ;

= (6*6) + (4*4) ;

= 36 + 16 ;

= 52 ;

c² = 52 ;

Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ;

  √(c²) = √52 ;

c = √52 ;

At this point, we know the 7² = 49 ; 8² = 64 ; so, the answer is somewhere between "7" and "8" ; yet closer to "7" ; so among the answer choices given;

The correct answer is: [D]: " 7.2 units" .
_________________________________________
However, let use a calculator:

c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
which corresponds to:
___________________________________________
Answer choice: [C]: " 7.2 units" .
___________________________________________

5 0

3 years ago

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST

german

Answer:

The answer is Tennesse

Step-by-step explanation:

because it raises the prices by $45.50

8 0

2 years ago