1.Azad has $500 and wants to go on a holiday, but does not have sufficient money. He decides to save $40 per week for a number of weeks to make up the deficit.

How much will he have saved at the end of the 5th week? Explain your answer.


2.A baker has 400kg of flour on the first day of the month and uses no flour that day. How much will he have at closing time on the 17th day of the month, if he uses 24 kg each day after that?

Answer:

14.2

Step-by-step explanation:

The ladder forms a right angles triangle,

We have,

h=20

p=16

b=x

Using pythogorean theorem,

b=√(20^2-16^2)

√144

b=12

Now,

Since, she pulls it 2 cm,

b=x+2

b=14

p=?

Using pythogorean theorem,

p=√(20^2-14^2)

√204

p=14.2828568571

Rounding  to the nearest tenth,

p=14.2

The side of the ladder will reach up is 14.3 feet.

"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".

For the given situation,

Hypotenuse, h = 20 feet

Perpendicular, p = 16 feet

Base = b

By Pythagoras theorem,

[tex]h^{2} = p^{2} + b^{2}[/tex]

⇒[tex]20^{2} = 16^{2}+b^{2}[/tex]

⇒[tex]b^{2} = 400-256[/tex]

⇒[tex]b^{2}=144[/tex]

⇒[tex]b=\sqrt{144}[/tex]

⇒[tex]b=12[/tex]

The ladder at the house is pulled 2 feet farther.

So, base = [tex]12+2[/tex]

⇒[tex]b=14[/tex]

Now, the side of the ladder will reach up

[tex]p^{2} = h^{2}-b^{2} \\[/tex]

⇒[tex]p^{2}=20^{2}-14^{2} \\[/tex]

⇒[tex]p^{2}=400-196[/tex]

⇒[tex]p^{2}=204[/tex]

⇒[tex]p=\sqrt{204}[/tex]

⇒[tex]p=14.28[/tex]

⇒[tex]p=14.3[/tex] (rounded off to nearest tenth)

Hence we can conclude that the side of the ladder will reach up is      14.3 feet.

Learn more about trigonometric ratios here

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Answer:

unblock miniproxy.com

Step-by-step explanation:

The equation x² - 4 = 0 and 4x² = 16 have roots of x = -2 and 2 so option 1st and 4th are correct.

Roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

The number of roots of an equation depends on the degree of the equation for example number of roots of quadratic equation are 2.

Given the roots

01)

x = -2

square both sides

x² = 4

x² - 4 = 0

02)

x = 2

Square both sides

x² = 4

Multiply by 4 on each side

4x² = 16

Hence "The equation x² - 4 = 0 and 4x² = 16 have roots of x = -2 and 2".

To learn more about the roots of equation,

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Answer: 1^ degree

Step-by-step explanation: because A is raised to 1 and being the only literal part the degree is one

Answer:

Step-by-step explanation:

RQ=QS=SR

5x =3x + 10 =6x-5

5x =3x +10

5x-3x =10

2x =10

X=5

Answer:

64

Step-by-step explanation:

88-24=64 which is the right answer

Answer:52.7• 1014

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

1/2x = 6

x = 12

Answer:

x=12

Step-by-step explanation:

half of 12 is 6. 6-2=4

Answer:

the answer is 3 1/9

Step-by-step explanation:

if you see how many times you can fit 9 into 28 you will see it can happen three times but you still have 1 leftover hence the 1/9

Answer:

yes

Step-by-step explanation:

2/4 and 2/3 has a LCM of 12

Answer:

Step-by-step explanation:

The LCM of 2/4 and 2/3 is 2. This is because 2/4 goes into 1, 3/2, and 4/2=2. 2/3 goes into 4/3, 6/3=2.

Answer:

A,C, and D.

Step-by-step explanation: I promise

2 and 4, Also could do brainliest i'm trying to level up.

Answer:

Impossible?

Step-by-step explanation:

Answer:

5 pails

because jack has 5 pail and he must get 3 more pail to times 5 and get 40

Answer:

36.8 divided by 16=2.3

2.60 x 2.3= 5.98

I think this is right..

Step-by-step explanation:

If there is 16 ounces is 1 pound then divide 36.8 by 16

then the answer should be multiplied by the amount the peach cost per pound.

Answer:

the question is what problem

Step-by-step explanation:

Answer:

R=1

Step-by-step explanation:

5

−

8

+

8

=

9

−

1

2

+

8

ask you teacher how to solve linear equation he or she could help with that

Answer:

im not sure

Step-by-step explanation:

Answer:

5.99

Step-by-step explanation:

Do the division by doing:

0 5. 9 9 0

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

5  |    2  9. 9 5 0

− 0        

 2 9      

− 2 5      

   4 9    

 − 4 5    

     4 5  

   − 4 5

       0 0

     −   0

         0

Answer:

C 

Reason :

A square possesses reflection symmetry, with four reflection sections,  two on the  side midpoints and two via opposing corners. There are four points in a full 360° movement when the square appears precisely the same. As a result, a square possesses order 4 rotational symmetry about its center of rotation. As a result, the angle of rotation is 90°.

The image has rotational symmetry as well as reflection symmetry. Then the correct option is C.

If a line intersect the shape and the shape look identical on both sides of line, then the line is known as axis of symmetry.

From the graph, we can conclude that the image has rotational symmetry as well as reflection symmetry.

Then the correct option is C.

More about the axes of symmetry link is given below.

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Answer:

y=x+9

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.

Answer:

33 cm

Step-by-step explanation:

my bad if im wrong havent done this in a while

Answer:

Step-by-step explanation:

area of trapeziumm=1/2(15+3)×6=9×6=54 cm²

Answer:

14x - y = 62

Step-by-step explanation:

Hi there!

We are given the equation y=14x-62 and we want to put it into standard form.

Standard form is ax + by = c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negative

The equation is currently in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since standard form has the term with x in it on the left side, we can move 14x to the left side (subtract 14x from both sides)

y = 14x-62

-14x -14x

_________________

-14x + y = -62

Remember that a (coefficient of x) cannot be negative. So multiply everything by -1 to change the sign of all the terms

-1(-14x + y) = -1(-62)

14x - y = 62

Hope this helps!

Answer:

21

Step-by-step explanation:

for the 42.

21×2=42

t t t t t t. t tt. t t t. r r r 4 4 4. r r r t t t t t t t t r r r r r r t. tt t t f f. re enne e r r r

Answer:

1. 2:1

2. 1:2

3. 2:1:3

4. 11:4

5. 2:1

Answer:

Step-by-step explanation:

1) Apples :  Mangoes = 20 : 10  = 2 :1

2) Ponkans : Guavas = 15 : 30 = 1 : 2

3) Apples :  Mangoes : Guavas = 20 : 10 : 30: = 2 : 1 : 3

4) All  fruits = apples + mangoes + ponkans + guavas  = 20 + 10 + 15 + 30 = 75

All fruits : Apples = 75 : 20 = 15 : 4

4) apples + guavas = 20 + 30 = 40

Mangoes + Ponkans = 10 + 15 = 25

apples + guavas : mangoes + Ponkans = 40 : 25 = 8 : 5

Answer:um

Step-by-step explanation:

Answer:

x = 18 or -18

Step-by-step explanation:

x^2 + 24^2 = 30^2

simplify

x^2 + 576 = 900

subtract 576 from both sides

x^2 = 324

Take square root of 324

+/- √324

x = 18 x = -18

18 or -18 is the answer