A scale says that it's readings are accurate to within 1%, meaning that when an object
is weighed using that scale, the reading will have an error of at most 1%.
Gillian puts a math textbook on a scale, and the scale reads 1,999.8 grams. What is
the difference between the maximum and minimum possible values for the textbook's
actual weight?

Answer:

x = 67° (nearest whole degree)

Step-by-step explanation:

Sine Rule

[tex]\sf \dfrac{sin(A)}{a}= \dfrac{sin(B)}{b}= \dfrac{sin(C)}{c}[/tex]

where A, B and C are the angles, and a, b and c are the sides opposite the angles

Given information

From inspection of the triangle:

Finding x:

Substitute given values into the formula and solve for x:

[tex]\sf \implies \dfrac{sin(38)}{12}= \dfrac{sin(x)}{18}[/tex]

[tex]\sf \implies 18\cdot\dfrac{sin(38)}{12}= sin(x)[/tex]

[tex]\sf \implies sin(x)=\dfrac32sin(38)[/tex]

[tex]\sf \implies x=sin^{-1}\left(\dfrac32sin(38)\right)[/tex]

[tex]\sf \implies x=67.44208077...[/tex]

Final Solution

x = 67° (nearest whole degree)

Answer:

∠x = 67°

Step-by-step explanation:

From the Law of Sines,

we know that :

Here we have :

On substituting,

Answer:

1.c

2.a

3.d

4.e

5.f

6.b

Answer:

divide fifty out of one hundred times thirty. so x equals to fifteen hours

Use the formula shown:

6^2 + 2.5^ = c^2

36 + 6.25 = c^2

42.25 = c^2

Take the square root of both sides:

c = 13/2 as a fraction or 2.5495 as a decimal (round off as needed)

Let's assume that all hours she worked were the first 35 hours of the week.

She would've made £22.80 x 35 = £798

So, she would've made 981.54 - 798 = 183.54 less than the actual amount

She is paid 15% more per hour after the first 35 hours -> She will get £26.22 per hour.

So, she work for 183.54 : 26.22 = 7(hours) after the first 35 hours

So in total, she worked for 35 + 7 = 42(hours).

Answer:

42 hours

We know she works at least 35 hours, so 35x22.80=798. This is her base pay without any extra hours.

981.54-798 =183.54. This is the amount she earnt for working extra hours. if we divide this by the rate she earns for extra hours (22.80x1.15=26.22), 184.54/26.22=7, we know she worked an additional 7 hours.

and 35 plus 7 = 42 :)

Answer:

Step-by-step explanation:

The question contains typos as I believe the boxes should be 5x4.2x3.2 in dimensions instead.

Assuming that and all 6 faces of each storage boxes will be painted, the surface area of each box is:

= (5*4.2*2) + (4.2*3.2*2) + (3.2*5*2)

= 100.88 square feet

4 boxes will have a total surface area of

100.88*4

= 403.52 square feet

Each pint of paint covers 50 square feet so a total of

403.52/50 = 8.07 or

9 pints is needed.

Answer:

120 marbles

Step-by-step explanation:

we can find the answer by dividing the volume of the cylinder by the volume of the marble.

V of a cylinder is

pi×r^2×h = 1280pi

V of marble is

4/3 × pi × r^3

V is 32/3 pi

so final answer is 1280pi ÷ (32/3 × pi)

ANSWER IS 120 MARBLES

Hey there!

First, let's convert 4 into a fraction: 4/1

Now, multiply fractions:

1/4*4/1=1

is 1 greater than 4? of course not.

let's try Option B:

5/6*4/1

5 times 4 and 6 times 1

20/6

reduce the fraction

10/3

or

3+1/3 (less than 4)

Is it Option C? Let's try/

3/2*4/1

3 times 4 and 2 times 1

12/2

6

and 6 is greater than 4. Bingo!

How about Option D?

9/10*4/1

9 times 4 and 10 times 1

36/10

18/5

Hence, the answer is

[tex]\boxed{\boxed{\bold{option~C}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

#NeverGiveUp

:-)

Answer:

20units^2

Step-by-step explanation:

Answer:

20units^2

Step-by-step explanation:

The value of 0.36 when converted to a fraction in the simplest form is 9/25.

Your information is incomplete. Therefore, an overview will be given. It should be noted that a fraction is in its simplest form when the numerator and denominator are prime.

From example, let's convert 0.36 to a fraction on its simplest form. This will be:

0.36 = 36/100 = 9/25

In conclusion, 0.36 is 9/25 in the simplest form.

Learn more about fractions on:

https://brainly.com/question/78672

Answer:

716

Step-by-step explanation:

Triangle = bh / 2

24 x 14 = 336, you should divide by 2 but there is 2 of them (front and back) so cancels out. 10 x 24 is 240 and cancels for same reason. 336 + 240 = 576. 14 x 10 = 140 and 576 + 140 = 716

Answer:

976 cm^2

Step-by-step explanation:

area of triangle is 1/2 times base times height

notice we have two triangles

so 14 * 24 * 0.5 is 168

168 times 2 is 336

now we have a rectangle on the bottom so its area is base times height

14 times 10 is 140

and now we have two rectangles on either side

25 times 10 is 250

250 times 2 is 500

500+140+336

976 cm^2

Answer: A, C, F

Step-by-step explanation:

Answer:

c=0.12m

Step-by-step explanation:

Okay, so to find the relation between minutes and cost is by dividing them, specifically cost over minutes. Cost = x amount of dollars per minute (m). This can be written with any of the given amounts. 60 = x(500) then 60/500 = x = 0.12

in the II Quadrant, let's recall that the adjacent side or cosine is negative whilst the opposite side or sine is positive, thus

[tex]tan(\theta )=-\sqrt{\cfrac{19}{17}}\implies tan(\theta )=\cfrac{\stackrel{opposite}{\sqrt{19}}}{\underset{adjacent}{-\sqrt{17}}}\impliedby \qquad \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]

[tex]c=\sqrt{(-\sqrt{17})^2~~ + ~~(\sqrt{19})^2}\implies c=\sqrt{17+19}\implies c=\sqrt{36}\implies c=6 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-\sqrt{17}}}{\underset{hypotenuse}{6}}~\hfill[/tex]

Answer:

1222 ft^2

Step-by-step explanation:

2(13x9) + 2(5x12) + 2(4.5x9) + 2(9x11) + 2(19x11) + (19x9)

disclaimer: I'm not 100% sure if this is correct

9.66, or 10 if you rounded it up

I THINK that you add 280, 800, and 80 together to get -$1160, then divide 1160 and 30 maybe. then divide your answer with 4 to get 9.66, or 10.0

I hope this helps! if not, i am deeply sorry, friend.

,SivethTheDragon

The Average Daily Balance for Julia's credit card in April is approximately $846.33.

Here, we have,

To calculate the Average Daily Balance for Julia's credit card in April, we will divide the month into four sets of days based on her purchase dates. Here's the breakdown:

Set 1: April 1 to April 9 (9 days)

The balance remains at $300 because no purchases were made during this period.

Set 2: April 10 to April 17 (8 days)

Julia makes a purchase of $250 for groceries on April 10.

Therefore, the balance for these 8 days is $300 + $250 = $550.

Set 3: April 18 to April 22 (5 days)

Julia makes a purchase of $800 for a new phone on April 18.

Therefore, the balance for these 5 days is $550 + $800 = $1350.

Set 4: April 23 to April 30 (8 days)

Julia makes a purchase of $80 for a birthday present on April 23. Therefore, the balance for these 8 days is $1350 + $80 = $1430.

To calculate the Average Daily Balance, we sum up the balances for each set of days and divide by the total number of days in April:

(9 days * $300 + 8 days * $550 + 5 days * $1350 + 8 days * $1430) / 30 days

= ($2700 + $4400 + $6750 + $11440) / 30

= $25390 / 30

= $846.33 (rounded to the nearest cent)

Therefore, the Average Daily Balance for Julia's credit card in April is approximately $846.33.

To learn more on division click:

brainly.com/question/21416852

#SPJ4

Answer:

[tex]26[/tex] and [tex]28[/tex].

Step-by-step explanation:

Let [tex]x[/tex] denote the smaller one of the two even integers ([tex]x > 0[/tex] since both integers are positive.) The larger one of the two consecutive even integer would be [tex](x + 2)[/tex].

The square of the smaller integer would be [tex]x^{2}[/tex].

Five times the larger integer would be [tex]5\, (x + 2)[/tex].

Subtract five times the larger integer from the square of the smaller integer to get [tex](x^{2} - 5\, (x + 2))[/tex].

The value of this expression should be equal to [tex]536[/tex]. In other words:

[tex]x^{2} - 5\, (x + 2) = 536[/tex].

Rewrite and simplify this quadratic equation:

[tex]x^{2} + (-5)\, x + (- 546) = 0[/tex].

Apply the quadratic formula to find possible values of [tex]x[/tex]:

[tex]\begin{aligned}x_{1} &= \frac{-b + \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{-(-5) + \sqrt{(-5)^{2} - 4 \times 1 \times (-546)}}{2}\\ &= \frac{5 + \sqrt{2209}}{2} \\ &=\frac{5 + 47}{2} \\ &= 26\end{aligned}[/tex].

[tex]\begin{aligned}x_{2} &= \frac{-b - \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{5 - \sqrt{2209}}{2} \\ &=\frac{5 - 47}{2} \\ &= -21\end{aligned}[/tex].

Since [tex]x > 0[/tex] (both numbers are supposed to be positive), [tex]x = 26[/tex] would be the only valid solution.

Therefore, the two integers would be [tex]x = 26[/tex] and [tex]x + 2 = 28[/tex].

Answer:

Your answer would be:
13.25

128 books in use + 84 books in the collection box =212 reference books on the shelf

212 books / 16 shelves =13.25 per shelf

Logically the answer 13.25 wouldn't make sense because you can't put a 25th of a book on a shelf, so that means you will need to put the "0.25 book" away. Technically your answer would be 13. Due to the question, however, it would be 13.25.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

The answers would be:
7) y=-0.5x+2
8) y=-0.5x+2
9) y=0.6x-2
10) y=6x-4

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

6      x

-   =   -

8      12

the relationship from 8 to 12 is divided by.666666666666

So, we do the same for 6

We get 9.

Answer:

14

Step-by-step explanation:

5+5=10 and 7+7=14 and 14+10=24

Observe the division shown

To divide 2 by 9 Carl added a .0 on right of dividend and 0. on the right of quiotent .

Remainder recieved is 2 again

So these steps gonna repeating

The answer be like 0.222222..

Answer:

x - 7 [tex]\leq[/tex] -28

Step-by-step explanation:

I guarantee you that this is correct. It's pretty simple to understand.

Please mark Brainliest. :)

Answer:

I think √8

Step-by-step explanation:

an integer to the power of 2

The probability of rolling a number greater than 3 is equal to

   --> # of numbers greater than 3 / total # of numbers on the dice

   --> [tex]\frac{3}{6} =\frac{1}{2}[/tex]

There the probability of rolling a number greater than 3 is 1/2

Hope that helps!

Answer:

51.24 mg

Step-by-step explanation:

400 x (0.71^6) = 51.24

Answer:

51.24 mg

Step-by-step explanation:

400 x (0.71^6) = 51.24

Answer:

396 cm²

Step-by-step explanation:

    Let us break this shape into two parts.

    The left part:

27 cm² * 10 cm² = 270 cm²

    The right part:

24 cm² - 10 cm² = 14 cm²

14 cm² * 9 cm² = 126 cm²

    Total area:

270 cm² + 126 cm² = 396 cm²

Answer:

(0,4) (0,7) (-2,4)

Step-by-step explanation:

The line x=1 is a vertical line that passes through the point (1,0). So we then place the new triangle at equal distance from the line.

I hope this helps!

please mark brainliest!!

Answer:

i think you have to multiply

the answer is- 28.512

Step-by-step explanation:

i dont know if this is right im sorry but i think it is

Answer:

No picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a trapezium.

The formula od an area of a trapezium:

A = 1/2(a + b) · h

We have:

a = 10, b = 6, h = 8

substitute:

A = 1/2 · (10 + 6) · 8 = 1/2 · 16 · 8 = 8 · 8 = 64

Answer:

A = 64 sq. un

Step-by-step explanation:

6 * 8 + (4 * 8)/2 =

48 + 4 * 4 =

48 + 16 =

64