The half-life of a radioactive kind of iodine is 12 hours. How much will be left after 24 hours,
if you start with 96 grams of it?

Answer:

∠A = 38.68°

Step-by-step explanation:

[tex]sinA=\frac{5}{8}\\A=sin^{-1}(\frac{5}{8})\\A=38.68[/tex]

The measure of the ∠A in this right-angled triangle is,  38.68°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

From the given figure, With reference to ∠A, the Opposite is 5 units and the hypotenuse is 8 units.

We know, sin = opposite/hypotenuse.

Therefore, sinФ = 5/8.

Ф = sin⁻¹(5/8).

Ф = 38.68°.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ7

Answer:

x= -8y  / 5 +107

y = 535 - 5x / 8

Step-by-step explanation:

5x+8y=535

Subtract 8y from both sides.

5x=535−8y

Divide both sides by 5.

5x / 5 = 535 - 8y / 5

Dividing by 5 undoes the multiplication by 5.

x=  535−8y / 5

​ Divide 535−8y by 5.

x= -8y  / 5 +107

5x+8y=535

Subtract 5x from both sides.

8y=535−5x

Divide both sides by 8

8y / 8 = 535 - 5x / 8

Dividing by 8 undoes the multiplication by 8.

y = 535 - 5x / 8

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

x = 6

Step-by-step explanation:

Given

4x - 2 = 2x + 10 ( subtract 2x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Answer:

The four rational numbers between [tex]-\frac{1}{2}[/tex] and [tex]\frac{1}{2}[/tex] can be:

Step-by-step explanation:

The definition of rational numbers is usually a number of the type a/b where b is different from zero, therefore, to choose the numbers that are between -1/2 (= -0.5) and 1/2 (= 0.5) it is enough with choose fractional numbers whose dividend is 1 and its divisor is any number greater than 2, either negative or positive, in the answer we choose options such as 1/7 or -1/3, but following the guide I give you, you could choose numbers like 1/16, -1/9 or 1/40 if you wish, always respecting the guidelines given for the dividend and the divisor.

Answer: I think E

Step-by-step explanation:

Answer:

i think its d

Step-by-step explanation:

Answer:

(i) 18.4 > 18.04

(ii) 0.7 < 50 > 35

b) 173500

c) 173500

Step-by-s tep explanation:

(i) To compare decimals such as 18.4 and 18.04, first line up the decimal points of the numbers. Next, we compare the digits place by place starting on the left. 1 and 1 are the same, 8 and 8 are the same, but notice that 4 is greater than 0. This means that 18.4 is greater than 18.04.

(ii) Simple less than < greater than > skills.

b) Simple rounding.

c) The answers stays the same; rounding cannot be completed using JUST whole numbers.

Answer:

go left 2 and up 6

Step-by-step explanation:

(x,y)

(x,y) --> (-2,6)

0 = x      0 = y

0 - 2 = -2 = x

0 + 6 = 6 = y

(-2,6)

When making the X negative, you want to go left on the grid. When making Y positive, you want to go up on the grid.

Answer: you would go to the left side horizontally (aka quadrant 3), then go down until 6 vertically

Step-by-step explanation: if you don't get it, here's a visual explanation

Answer and Step-by-step explanation:

2x + 2 is the answer.

If the boy is twice as old, and the sister's age is represented by x, then we multiply 2 to x to represent the boy's age.

Then we add 2 when 2 years pass by.

#teamtrees #PAW (Plant And Water)

Answer:

x = 7.2

Step-by-step explanation:

a² + b² = c²

x² + (19.2/2)² = (24/2)²

x² + 9.6² = 12²

Subtract 9.6² from both sides

x² = 12² - 9.6²

x² = 51.84

x = 7.2

Answer:

-6n + 11

Step-by-step explanation:

The difference between each number is 6 (-6)

If n=1 then -6n + 11 =5

If n=2 the (-6×2) + 11 = -1

If n=3 the (-6×3) + 11 = -7

and so on.

You use the difference between each number to identify how much you need to times n by the you use that information and figure out how much you need to add / subtract to find the first number in the sequence. To check you do the same thing for the second number or third number.

:]

Answer:

240.

Step-by-step explanation:

200 * 6/5

= 1200/5

= 240

Answer:

maybe the palm tree is at 5 the rock at -2 and the sand dollar at 0?

or, somthing like that

Step-by-step explanation:

The sand dollar is at zero which is  2 units away from rock and five units away from palm tree

A number system is defined as a system of writing to express numbers.

A sand dollar is 2 units away from rock and five units away from palm tree, We have to find the location of  the sand dollar

Let the rock is at -2 on number line

The palm tree is at 5 on  number line

So the sand dollar is at 0, as zero is two units away from rock and tree is five units away

Hence, the sand dollar is at zero which is  2 units away from rock and five units away from palm tree

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Answer:

a. i. sinθ = +0.941

ii. cosθ = +0.339

b. i. sinθ = -0.842

ii.  cosθ = +0.540

Step-by-step explanation:

a. Given that tanθ almost equal to≈ 2.773 where 0<θ<π/2, find the values of sinθ and cosθ.

i. sinθ

Given that 1 + cot²θ = cosec²θ

cotθ = 1/tanθ

Since tanθ = 2.773, cotθ = 1/tanθ = 1/2.773 = 0.3606

So, 1 + cot²θ = cosec²θ

1 + (0.3606)² = cosec²θ

1 + 0.13 = cosec²θ

1.13 = cosec²θ

cosec²θ = 1.13

cosecθ = ±√1.13

cosecθ = ±1.063

1/sinθ = ±1.063

sinθ = ±1/1.063

sinθ = ±0.9407

sinθ ≅ ±0.941

Since we have 0<θ<π/2, sinθ is in the first quadrant, so we choose the positive value.

So, sinθ = +0.941 where 0<θ<π/2

ii. cosθ

Given that 1 + tan²θ = sec²θ

Since tanθ = 2.773,

So, 1 + tan²θ = sec²θ

1 + (2.773)² = sec²θ

1 + 7.6895 = sec²θ

8.6895 = sec²θ

sec²θ = 8.6895

secθ = ±√8.6895

secθ = ±2.9478

1/cosθ = ±2.9478

cosθ = ±1/2.9478

cosθ = ±0.3392

cosθ ≈ ±0.339

Since we have 0<θ<π/2, cosθ is in the first quadrant, so we choose the positive value.

So, cosθ = +0.339 where 0<θ<π/2

b. Given that tanθ ≈ -1.559 where 3π/2<θ<2π, find the values of sinθ and cosθ.

i. sinθ

Given that 1 + cot²θ = cosec²θ

cotθ = 1/tanθ

Since tanθ = -1.559, cotθ = 1/tanθ = 1/-1.559 = -0.6414

So, 1 + cot²θ = cosec²θ

1 + (-0.6414)² = cosec²θ

1 + 0.4114 = cosec²θ

1.4114 = cosec²θ

cosec²θ = 1.4114

cosecθ = ±√1.4114

cosecθ = ±1.1880

1/sinθ = ±1.1880

sinθ = ±1/1.1880

sinθ = ±0.8417

sinθ ≈ ±0.842

Since we have 3π/2<θ<2π, sinθ is in the fourth quadrant, so we choose the negative value.

So, sinθ = -0.842 where 3π/2<θ<2π

ii. cosθ

Given that 1 + tan²θ = sec²θ

Since tanθ = -1.559,

So, 1 + tan²θ = sec²θ

1 + (-1.559)² = sec²θ

1 + 2.4305 = sec²θ

3.4305 = sec²θ

sec²θ = 3.4305

secθ = ±√3.4305

secθ = ±1.8522

1/cosθ = ±1.8522

cosθ = ±1/1.8522

cosθ = ±0.5399

cosθ ≈ ±0.540

Since we have 3π/2<θ<2π, cosθ is in the fourth quadrant, so we choose the positive value.

So, cosθ = +0.540 where 3π/2<θ<2π

Answer:

10.1

Step-by-step explanation:

nearest possible answer

Answer:

AC=10.1

Step-by-step explanation:

2accosB=a²+c²-b²

2×7×13cos 50=7²+13²-AC²

182cos50=49+169-AC²

AC²=218-182 cos50

AC=√(218-182 cos 50)≈10.0505≈10.1

Answer:

y=x +10

Step-by-step explanation:

answer is in photo above

Answer:

y = 1x + 10

Step-by-step explanation:

y2 - y1 / x2 - x1

4 - 6 / -6 - (-4)

-2 / -2

= 1

y = 1x + b

4 = 1(-6) + b

4 = -6 + b

10 = b

Answer:

lower quartile would be Q1 and the upper quartile would be Q3

The approximate areas of the continents (excluding North America) are as follows:

- Australia: 11 million km^2

- Europe: 15 million km^2

- Antarctica: 18 million km^2

- South America: 26 million km^2

- Africa: 44 million km^2

- Asia: 66 million km^2

To find the approximate area of each continent, we will multiply the given percentages by the area of North America (220 million km^2).

1. Australia:

Percentage: 5%

Approximate area: 0.05 * 220 million km^2 = 11 million km^2

2. Europe:

Percentage: 7%

Approximate area: 0.07 * 220 million km^2 = 15.4 million km^2 (rounded to 15 million km^2)

3. Antarctica:

Percentage: 8%

Approximate area: 0.08 * 220 million km^2 = 17.6 million km^2 (rounded to 18 million km^2)

4. South America:

Percentage: 12%

Approximate area: 0.12 * 220 million km^2 = 26.4 million km^2 (rounded to 26 million km^2)

5. Africa:

Percentage: 20%

Approximate area: 0.20 * 220 million km^2 = 44 million km^2

6. Asia:

Percentage: 30%

Approximate area: 0.30 * 220 million km^2 = 66 million km^2

Note: These values are rounded to the nearest million square kilometers.

For more such questions on continents

https://brainly.com/question/28440881

#SPJ8

=================================================

Explanation:

Angle B = 90 degrees, and the side opposite this is the hypotenuse AC = 10.

Angle C = 30, and the side opposite this smallest angle is AB. For now we'll call this x.

It turns out that for any 30-60-90 triangle, the hypotenuse is twice as long as the short leg. So if x is the short leg, then 2x is the hypotenuse.

Set 2x equal to the given hypotenuse 10 and solve for x

2x = 10

x = 10/2

x = 5

That makes AB = 5.

In other words, we cut the hypotenuse in half to get the length of the shorter leg.

Given:

Sum of all the interior angles of a regular polygon is 1080°.

Measure of each side is 10 cm.

To find:

The perimeter.

Solution:

The sum of all interior angles of a regular polygon with n side is:

[tex]S=(n-2)180^\circ[/tex]

Sum of all the interior angles of a regular polygon is 1080°.

[tex]1080^\circ=(n-2)180^\circ[/tex]

[tex]\dfrac{1080^\circ}{180^\circ}=n-2[/tex]

[tex]6+2=n[/tex]

[tex]8=n[/tex]

Number of sides of the regular polygon is 8. The measure of each side is 10 cm. So, the perimeter of the regular polygon is:

[tex]\text{Perimeter}=\text{Number of sides}\times\text{Measure of each side}[/tex]

[tex]\text{Perimeter}=8\times 10[/tex]

[tex]\text{Perimeter}=80[/tex]

Therefore, the perimeter of the regular polygon is 80.

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 1 unit.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The area of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:area\:of\:the\:circle\:is\:3.14\:units².}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr² }[/tex]

[tex]=\:3.14 \times 1 \times 1 \: \: {units}^{2} \\ \\ = 3.14 \: \: {units}^{2} [/tex]

Therefore, the area of the circle is 3.14 units².

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Answer:

7

Step-by-step explanation:

In most cases the first step is to create an equation to solve for the missing variable

But in this case we are already given the equation

(7.25h + 5 = 6.5h + 10.25)

All we have to do is solve for h

7.25h + 5 = 6.5h + 10.25

Step 1 subtract 5 from both sides

7.25h = 6.5h + 5.25

Step 2 subtract 6.5h from both sides

0.75h = 5.25

Step 3 divide both sides by .75

h = 7

So at 7 hours the cost will be the same for both instructors

Answer:

C

Step-by-step explanation:

.........................

Answer:

18

Step-by-step explanation:

38 drink tea but 20 drink tea only.

38-20 =18 drink tea.

Answer:

b = x - y

Step-by-step explanation:

Given the expression x - y = b

We are to rewrite the value of b;

We can simply do this by swapping both sides that are putting b at the Left hand side and x - y at the right as shown

b = x - y

Hence the correct expression will be b = x - y

Answer:

The interval notation would be (-∞, 3.9 feet) ∪ (6.3 feet, ∞).

Step-by-step explanation:

Since the lower and upper bounds are given, those very bounds extend to infinity in this case since there is no limit to the height which would be considered abnormal in this question. Using the lower bounds and upper bounds to construct an interval notation, we get the answer as shown above.

Hope this helped!

Answer:

[tex]x^{8}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]x^{4}[/tex] × [tex]x^{4}[/tex] = [tex]x^{(4+4)}[/tex] = [tex]x^{8}[/tex]

Answer:

40%

Step-by-step explanation:

Amount of money discounted

= $40 - $24

= $16

Percentage of discounted money

= 16/40 x 100%

= 40%

Answer:

Your correct answer will be 6.2

Step-by-step explanation:

First, we line up the decimal points,  0.2 plus 6.0, always add 0 to the number without the decimal.

Last, you just add them, and you will get 6.2

Mark me brainliest and have a good day!