The half-life a particular radioactive
substance is 1 year. If you started with
50 grams of this substance, how much
of it would remain after 3 years?
First, complete the equation:
Remaining Amount =

X = 30°

The triangle in the circle as one angle of the main triangle and it is equilateral indicated by the slashes meaning all angles are 60°. (Every triangle has a total of 180°) the next angle is made from a tangential line the forms a 90° right angle with one of the radii in the circle meaning the main triangle has 1 angle of 60°, 1 angle of 90°, and that means that angle X is 30°.

Answer:

triangle ABD is a equilateral triangle.

so each angle is 60°

<ADB=60°

<BAD=60°

again

we have

CD is perpendicular to AD[tangent on the arc is perpendicular to the radius]

:. ADC=90°

°

again

In triangle ADC

<A+<B+<C=180°[sum of a interior angle of a traingle is 180°]

60°+90°+x=180°

x=180°-150°

x=30°

is a right answer.

Answer:

m<SQP=124°

Step-by-step explanation:

Hi there!

We're given ΔQRS, the measure of <R (90°), and the measure of <S (34°)

we need to find m<SQP (given as x+72°)

exterior angle theorem is a theorem that states that an exterior angle (an angle on the OUTSIDE of a shape) is equal to the sum of the two remote interior angles (the angle OUTSIDE of a shape will be equal to the sum of 2 angles that are OPPOSITE to that angle).

that means that m<SQP=m<R+m<S (Exterior angle theorem)

substitute the known values into the equation

x+72°=90°+34° (substitution)

combine like terms on both sides

x+72°=124° (algebra)

subtract 72 from both sides

x=52° (algebra)

however, that's just the value of x. Because m<SQP is x+72°, add 52 and 72 together to get the value of m<SQP

m<SQP=x+72°=52°+72°=124° (substitution, algebra)

Hope this helps!

Answer:  $18.19.

You'll have to set this up as two separate problems. First, we want to take 15% off the original $20 bill. To do this, you're going to multiply 20 by .15, which gives you $3. So, 15% off $20 is $17.

Now, we want to find 7% of the new bill, so we're going to multiply 17 by .07 to get $1.19, and add it to the $17, making the final bill $18.19. You could also multiply $17 by 1.07 to get your final total without the extra step in the middle, but only do that once you're comfortable with the math.

(4,-6)

OR -6

GOODLUCK :)

Answer: add 18

Step-by-step explanation:

It's asking for the opposite equation. Addition undoes Subtraction. Same with multiplication undoing division.

Answer:

June - August

Step-by-step explanation:

First count all of the Temperature values!

1. 40 + 45 + 58 + 69 + 78 + 88 + 92 + 90 + 82 + 70 + 57 + 45 = 814

2. now divided by the amount of months!

3. the average answer is 66 and 67!

Mmm, I'm stuck in this point! Just try June - August

But this is how you can find the average with a graph!

Answer: 10

Step-by-step explanation:

the 6 digit in 63,700 is 60,000 and the 6 digit in 76,000 is 6,000.

60,000 / 6,000 is 10.

Answer: 10 ten

Step by step explanation:

Answer:

Solve in terms of the arbitrary variable B

.

Alw(10)⋅(ys)

true

a=10

m=57°B

Step-by-step explanation:

Answer:

the missing angle would be 17 inches. I am not exactly sure but if the leg a and leg b were calculated with those 2 numbers then the other side(known as hypotenuse) should be 17 inches

Answer:

5 / 12

11 / 36

Step-by-step explanation:

The sample space for 2 dice = 6² = 36

Number of outcomes where sum is less than 7 = 15

Probability = required outcome / Total possible outcomes

P(obtaining a sum less Than 7) = 15 / 36 = 5/12

Number of outcomes where Sum of individual outcome is less than 20 = 11

P(sum of individual outcome less than 20) = 11/ 36

Step-by-step explanation:

35A) arc AC = 360-(100+110+80)=

360-290 = 70°

35B) L D = ½× 70 = 35°

35C) L AEC = ½(100+70)=½×170= 85°

35D) L P = ½(100-70) = ½×30 = 15°

Answer:

$56.40

Step-by-step explanation:

If you take the $47.00 and add 20% you will get 56.4

9514 1404 393

Answer:

Step-by-step explanation:

Let n represent the number. Then half the number is n/2. We are told that ...

  n = n/2 +10 . . . . the number equals half the number plus 10

  n/2 = 10 . . . . . . .subtract n/2

  n = 20 . . . . . . . . multiply by 2

The number is 20.

Answer:

He was an Anti-federalist

Step-by-step explanation:

Answer:

Anti-federalist

Step-by-step explanation:

The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.

Answer:

$92

Step-by-step explanation:

Find the profit by plugging in 10 as c and 7 as p into the expression:

5c + 6p

5(10) + 6(7)

50 + 42

= 92

So, the bakery will make $92

Answer:

y = 1/3x - 4

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify

Slope m = 1/3

y-intercept b = -4

Step 2: Write Equation

Substitute variables into general form

y = 1/3x - 4

Answer:

36 possible ways

Step-by-step explanation:

Range of digit : 0 up to 9

To obtain the number of strings of 4 decimal digits that have exactly 3 digits that are 9s ; we use the multiplication rule :

In other to have exactly 3 digits from 4 that are 9s :

Say:

We have 3 9s and the last number could be any of the 10 possible digits except 9

First 9 = 1 possible way (since we have only one 9 between (0 to 9)

Second 9 = 1 possible way

Third 9 = 1 possible way

4th digit = 9 ways (could be any digit between 0 and 9, except 9)

Also, we consider the 4th digit's position ; as it could take up any of different positions in between the 9s = 4 ways

Using the product rule :

1 * 1 * 1 * 9 * 4 = 36 possible ways

Answer:

[tex]\boxed {\boxed {\sf a \approx207.35 \ in^2}}[/tex]

Step-by-step explanation:

Since the central angle is given in degrees, we should use this formula to find the area of the sector:

[tex]a=\frac{\theta}{360} \times \pi r^2[/tex]

The central angle is 165 degrees and the radius is 12 inches.

Substitute the values into the formula.

[tex]a= \frac{165}{360} \times \pi (12 \ in)^2[/tex]

Solve the exponent.

[tex]a= \frac{165}{360} \times \pi(144 \ in^2)[/tex]

Multiply all the numbers together.

[tex]a= 207.345115137 \ in^2[/tex]

Round to the nearest hundredth (two decimal places).

The 5 in the thousandth place (in bold above) tells us to round the 4 in the hundredth place up to a 5.

[tex]a \approx207.35 \ in^2[/tex]

The area of the sector is approximately 207.35 inches squared.

Answer:

300 I think

Step-by-step explanation:

V=1/3 Bh

B=10*9=90

90*10=900         1/3 of 900= 300

Answer:

x=360/8

=45 degrees,,,,

The measure of x = 45°.

Exterior angles of a polygon are formed when by one of its side and extending the other side. The sum of all the exterior angles in a polygon is equal to 360 degrees. You are already aware of the term polygon. A polygon is a flat figure that is made up of three or more line segments and is enclosed. The line segments are called the sides and the point where two sides meet is called the vertex of the polygon.

According to question,

There is a regular octagon.

Number of sides in regular octagon, n = 8

Since, measure of each exterior angle = 360°÷8

                                                                = 45°

Hence, the measure of each exterior angle of a regular octagon is 45°

To learn more on regular polygon click :

https://brainly.com/question/22831826

#SPJ2

Hi there! Use the difference of two squares formula to solve the problem below:

[tex] \large \boxed{ {x}^{2} - {y}^{2} = (x + y)(x - y)}[/tex]

From the equation, 64 comes from 8². Thus,

[tex] \large{ {x}^{2} - 64 = 0} \\ \large{(x + 8)(x - 8) = 0}[/tex]

The question also asks you to solve for all real values. Thus,

[tex] \large{x = 8, - 8}[/tex]

Answer

answer:

x = 64

step-by-step explanation:

so we know that, 180 + 26 + x + 90 = 360°

180 + 26 + x + 90 = 360°

296 + x = 360

x = 64°

Answer:

angle DEG=47+30(sum of two interior opposite angle is equal to the exterior angle formed)

DEG=77 degree

DEF+47+30=180(being sum of interior angle of a triangle)

DEF+77=180

DEF=180-77

DEF=103 degree

measure of each angle is 60 degree

Step-by-step explanation:

Answer:

9. 103

10. 77

11. 60

Step-by-step explanation:

remember a triangle and supplementary angles equal 180 degrees

Answer:

LB=7701 3

degrees

Answer:

26, 40  and 6 is not a possible triangle

Step-by-step explanation:

Answer:

[tex] I = \dfrac{1}{3}sin(3x) - 3cos(x) + C[/tex]

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

[tex]\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]

[tex]\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}[/tex]

Answer:

[tex]\displaystyle \large{\frac{\sin 3x}{3} - 3\cos x + C}[/tex]

Step-by-step explanation:

We are given the indefinite integral:—

[tex]\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx}[/tex]

Important Formulas

[tex]\displaystyle \large{\int f(ax+b) \ dx = \frac{1}{a} F(ax+b) + C}\\\displaystyle \large{\int \cos(ax) \ dx = \frac{1}{a} \sin (ax) + C \ \ \tt{(a \ \ is \ \ a \ \ constant.)}}\\\displaystyle \large{\int \sin x \ dx = - \cos x + C}\\\displaystyle \large{\int [f(x) \pm g(x)] \ dx = \int f(x) \ dx \pm \int g(x) \ dx}\\\displaystyle \large{\int kf(x) \ dx = k \int f(x) \ dx \ \ (\tt{k \ \ is \ \ a \ \ constant.})}[/tex]

Therefore, from the integral, apply the properties above:—

[tex]\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \int \cos 3x \ dx + \int 3 \sin x \ dx}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \int \cos 3x \ dx + 3 \int \sin x \ dx}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \frac{1}{3} \sin 3x + 3\cdot -\cos x + C}\\\displaystyle \large{\int (\cos 3x + 3\sin x) \ dx = \frac{\sin 3x}{3} - 3\cos x + C}[/tex]

Hence, the solution is:—

[tex]\displaystyle \large \boxed{\frac{\sin 3x}{3} - 3\cos x + C}[/tex]