Which comic section is formed in the image

The measure of each angle of this isosceles triangle is equal to 27°, 27°, and 126°.

An isosceles triangle can be defined as a type of triangle that has two (2) of its sides equal in length and two (2) equal angles. This ultimately implies that, an isosceles triangle comprises two (2) angles that have the same measure or are equal in magnitude.

Let the variable x represent the angles that have the same measure or are equal in magnitude. Therefore, the sum of the measures of the angles of this isosceles triangle is given by this mathematical expression:

x + x + (45​° + 3x) = 180°.

5x + 45​° = 180°.

5x = 180° - 45​°

5x = 135°

x = 135°/5

x = 27°

Therefore, the measure of each angle of the isosceles triangle is given by:

First angle = 27°.

Second angle = 27°.

Third angle = 45​° + 3(27) = 126°.

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We utilize the z statistic to find the probability percentage. Calculating the z value and then looking up the p value using the common probability tables is the process to follow. The z score formula is:

Z = (x - )/ ( / sqrt(n)

where,

Standard deviation equals 2

sample size, n With n = 5, calculating the z and p values:

The tables show that p(5) = 0.8686.

For n = 6, calculate the z and p values as follows:

The tables show that p(6) = 0.8888.

If both days to occur, the probability that each day will last no more than 11 minutes is as follows:

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Answer:

Yes they are equivalent.

Step-by-step explanation:

$12 divided by 3 is $4
$36 divided by 9 is also $4
Therefore they are equivalent.

Your welcome

Answer:

Yes!

Step-by-step explanation:

You divide 3 by 12 because that's how much they work for an hour. That means they make $36 for 9 hours.
12 ÷ 3 = 4

36 ÷ 9 = 4

They have the same answer which makes them equivalent.

Answer:ok

Step-by-step explanation:

Answer: 1/5 25/48

maybe?

Answer:

3.87

Step-by-step explanation:

b =

[tex] \sqrt{8 ^{2} -7 ^{2}} [/tex]

The graph whose domain is positive will not have any x - intercept.

What is graph of a function?

At first it is important to know about function

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Graph of a function is the set of all points of the form (x, f(x)).

The graph is positive in its entire domain

f(x) > 0 for all x

So the graph will never cut the x axis at any point.

So the graph will not have any x intercept.

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If the functions are equal. Then the value of the variable 'x' will be 1.6.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Let the capability f be characterized as p(x) = - 5(- 3x + 4) and work g be characterized as m(x) = 5x - 2(5x - 6).

If the functions are equal. Then the value of the variable 'x' will be given as,

m(x) = p(x)

- 5(- 3x + 4) = 5x - 2(5x - 6)

15x - 20 = 5x - 10x + 12

15x - 20 = - 5x + 12

20x = 32

x = 1.6

If the functions are equal. Then the value of the variable 'x' will be 1.6.

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The height of the candle after 15 hours of burning is 17 cm.

According to the question,

We have the following information:

Height of the candle after 11 hours of burning = 19.4 cm

Height of the candle after 23 hours of burning = 12.2 cm

Now, we will find the rate at which the height of the candle is decreasing. It means that we will find the decrease in height per centimeter.

Difference between hours and height:

23-11 = 12 hours

19.4-12.2 = 7.2 cm

So, we have:

12 hours = 7.2 cm

1 hour = 7.2/12

1 hour = 0.6 cm

So, the height is decreasing at the rate of 0.6 cm per hour.

Now, we have to find the height after 15 hours.

Height at 11 hours = 19.4 cm

Difference between 15 hours and 11 hours is 4 hours.

Change in height = 0.6*4 cm

Decrease in height = 2.4 cm

So, the height after 15 hours:

19.4-2.4

17 cm

Hence, the height of the candle after 15 hours of burning is 17 cm.

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He should invest $86.29 in the account now, which has a 7% interest compounded monthly.

Compound interest refers to the amount of interest added on the principal amount plus interest. The formula for compound interest is:

B = P(1 + r/n)^t

where B is the ending balance, P is the principal amount or original balance, r is the interest rate in decimal form, n = number of times interest is compounded monthly, and t is the time in number of months

Based on the given information, P is the unknown and

B = $5000

t = 5 years = 60 months

r = 7% = 0.07

n = 1

Plug in the values and solve for P or the amount that should be invested today.

B = P(1 + r/n)^t

$5000 = P(1 + 0.07/1)^60

$5000 = P(1.07)^60

P = $5000/(1.07)^60

P = $86.29

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The inverse of the function f(x) = 1/3x-2 is f^-1(x) = (1 + 2x)/3x.

A function f is has an inverse if it is both one-to-one and onto.

Given the function f(x) = 1/3x-2

we replace f(x) with y and make x the subject of the formula to derive the inverse function f^-1(x) as follows ;

y = 1/3x - 2

by cross multiplication

3x - 2 = 1/y

add 2 to both sides of the equation

3x = 1/y + 2

3x = (1 + 2y)/y

divide both sides of the equation by 3

x = (1 + 2y)/y ÷ 3

x = (1 + 2y)/3y

So, f^-1(x) = (1 + 2x)/3x

Therefore, the inverse of the function f is derived by interchanging the value of x for y and vice versa, that is f^-1(x) = (1 + 2x)/3x.

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The solution is 1790 grams

The amount of bismuth left after 10 days if the half life is 5 days will be

1790 grams

What is half-life of an element?

The half-life of a radioactive isotope is the amount of time it takes for one-half of the radioactive isotope to decay. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope.

Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value

The decay constant λ is = 0.693/t½

where t½ is the half-life of the element

Given data ,

Let the half life of the element be represented as t½

The value of t½ = 5 days

Now , the initial amount of bismuth N₀ = 7160 grams

The number of days t = 10 days

The amount of bismuth left after 10 days = N( t )

Now , the value of N( t ) is given by the formula ,

N( t ) = N₀ ( 1/2 )^ t/ t½

Substituting the values in the equation , we get

N( t ) = 7160 ( 1/2 )^10/5

N( t ) = 7160 ( 1/2 )²

N( t ) = 7160 / 4

N( t ) = 1790 grams

Therefore , the value of N( t ) is 1790 grams

Hence , the amount of bismuth left is 1790 grams

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Answer:

that's biology but

Step-by-step explanation:

autotrophs make their owner food

heterotrophs can't make their own food

photosynthesis is the 3rd one

photosynthesis happens in the chloroplast

photosynthesis makes glucose

I can go in depth about any of these, ask me if needed

The area of the of the rectangle is 5.25square inch and the area of the square is 6.25square inch. Therefore the square has larger area.

The area of a shape is the “space enclosed within the perimeter or the boundary” of the given shape. We calculate the area for different shapes using formulas.

Area formula in rectangle is L× W and in square is L^2. This happened in square becos square has all it's sides equal. Where L and W are length and Width respectively

The area of rectangle with dimension 7inches by 3/4 inch is 7×3/4= 5.25 square inches

The area of the square with dimension 2 1/2 inches is( 5/2)^2= 25/4= 6.25m

Therefore the square has larger area

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The slope of the line that passes through the points is 1/ 4

The gradient or slope of a line is a value or number describing both the direction and the steepness of a line.

The formula for calculating the slope of a line is expressed as;

Slope, m = y₂ - y₁/ x₂ - x₁

Where;

Now, substitute the values, we have;

Slope, m = (-11 - ( -10)/ ( -4 - 0)

expand the brackets

Slope, m = - 11 + 10/ -4

Add the values

Slope, m = -1/ -4

Divide the values

Slope, m = 1/ 4

Hence, the value is 1/ 4

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Answer:

1/4

Step-by-step explanation:

Dimensions of the area enclosed is 800 * 800 and the maximum area = 6,40,000 square yards.

Given:

Liana has 3200 yards of fencing to enclose a rectangular area.

Let l and b be the length and width.

we know that:

perimeter of rectangle = 2(l+b)

2l + 2b = 3200

l+b = 1600

b = 1600 - l

Area of rectangle A = lb

= l*1600-l

= 1600 l - l^2

Apply derivative:

dA/dl = 1600 - 2l

1600 - 2l = 0

1600 = 2l

l = 1600/2

l = 800

l+b = 1600

b = 1600 - 800

= 800

Area = 800*800

= 6,40,000

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Options C and E are correct. The expression can be written in the forms of

We have the length of the room as 12 feet

The width of the room = [tex]10\frac{1}{2}[/tex] feet

The expansion of the = 12 +x

What is the area of a rectangle?

The area of a rectangle is given as lw = length x width

Hence we would have the following:

(12+x)10.5 = area

We would have to open the bracket as well

126 + 10.5x

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Complete question

1012 feet. The length of the room is being expanded by x feet. Choose an expression to represent the new area of the living room in square feet and the expanded form of the expression. Select all that apply.

A. 10.5(12x) square feet

B. (10.5 + 12 + x) square feet

C. 10.5(12 + x) square feet

D. 126x square feet

E. (126 + 10.5x) square feet

F. (22.5 + x) square feet

Check answer below in the image.

Since it is labeled that this triangle has two equal sides, it is isosceles. Isosceles triangles' acute angles are always congruent, so we can infer that there are two angles with a measurement of 29 degrees. Knowing that all of the angles in a triangle add up to 180 degrees, we can set up this equation:

2*29 + 11x - 65 = 180

58 + 11x - 65 = 180

-7 + 11x = 180

11x = 187

x = 17

Knowing that "x = 17" we can find the measurement of the obtuse angle:

11*17 - 65

= 187 - 65

= 122

The probability that there is a continuous stripe encircling the cube is 3/16.

A single, thin stripe is painted from the center of one edge to the center of the other edge on each face of a cube. Each face's edge pairing is selected independently and at random.

For each of the cube's six faces, there are two possible stripe orientations, resulting in a total of 2 x 6 = 64 possible stripe permutations. Since there are three sets of parallel faces, the stripe orientation for the remaining faces is determined uniquely by the pair of faces that does not contribute to the encircling stripe. Additionally, there are two possible orientations for the stripe on each face that is non-contributing.

A continuous stripe surrounds the cube as a consequence of a total of

3 * 2 * 2 = 12 stripe variations.

The necessary probability is 12/64, which equals 3/16.

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Answer:

-0.2

Step-by-step explanation:

14.9-15.1= -0.2

To do equations like this in the beginning I used to switch the terms and then add a negative symbol in front of it

I would solve it like this

15.1-14.9

.2

And now since I switched the terms I change the sign to negative

-0.2

Hopes this helps please mark brainliest

With the help of probability we can conclude our answer.

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Answer:The equations are 5t + e = 725 and 3t + e = 505

Step-by-step explanation:Subtract equation (2) from equation (1) and you arrive at;

2t = 220

Divide both sides of the equation by 2

t = 110

Having calculated the value of t, substitute for the value of t into equation (1)

5t + e = 725

5(110) + e = 725

550 + e = 725

Subtract 550 from both sides of the equation

e = 175

The above calculations shows that the calories burned on each gym equipment are;

Treadmill = 110 per hour

Elliptical = 175 per hour

Answer:

1. y=2x+3

2. y=5x+3

Step-by-step explanation:

1. to find equation of the line we need the gradient and y-intercept

gradient=2

y=mx+c where m is gradient,x and y are coordinates and c is the y-intercept

input given coordinates and gradient in the equation to find c:

9 = 2(3)+c

9 = 6+c

9-6 = c

c = 3

to write the equation we only input gradient and y-intercept:

y=2x+3

2. to find the equation of the line we need the gradient and y-intercept

gradient=5

y=mx+c where m is gradient,x and y are coordinates and c is the y-intercept

input given coordinates and gradient in the equation to find c:

8 = 5(1)+c

8 = 5+c

8-5 = c

c = 3

to write equation we only input gradient and y intercept:

y=5x+3

The temperature on the fifth day in January is -7°C.

It should be noted that a mean simply means the average of a set of numbers that are given.

Since the mean temperature for the first 4 days in January was 3°C. The rural temperature will be:

= 4 × 3°C

= 12°C

The mean temperature for the first 5 days in January was 1°C. The total temperature will be:

= 5 × 1°C

= 5°C

The temperature of the fifth day will be the difference between the temperature. This will be:

= 5°C - 12°C

= -7°C

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x-intercept is (-250, 0) and y-intercept is (0, 100)

What is  x-intercept and  y-intercept

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. Thinking about intercepts helps us graph linear equations.

First, find x-intercept

For x-intercept it means y = 0

observe the graph and see the blue line cuts the x-axis when y = 0

We see, x = -250

so, the x-intercept is = (-250, 0)

Now, same thing do to find y-intercept

For y-intercept it means x = 0

observe the graph and see the blue line cuts the y-axis when x = 0

We see, y = 100

so, the y-intercept is = (0, 100)

Therefore, x-intercept is (-250, 0) and y-intercept is (0, 100).

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Answer: 5/8

Step-by-step explanation:

5/8 is already a fraction

The ratio of 2 meters to 76 centimetres is 50: 19.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

In simpler terms, a ratio compares values.

Let's find the ratio of 2 meters to 76 centimetres as follows:

We have to first convert the units so they will be same.

Hence,

1 cm = 0.01 m

76 cm = ?

cross multiply

length in metres = 76 × 0.01

length in metres = 0.76 metres

Therefore, let's multiply the 2 units by 100.

0.76 × 100 = 76 metres

2 × 100 = 200 metres

In ratio, 200 : 76 will be simplified as 50 : 19

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The variable x of the equation is 9.6.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

We have to solve the equation for the variable x .

A variable is a number represented with a letter in an equation.

Therefore, let's find the variable x in the equation.

-8 + 2x - 9 + 3x - 10 = 21

combine the like terms

-8 + 2x - 9 + 3x - 10 = 21

- 8 - 9 - 10 + 2x + 3x = 21

-27 + 5x = 21

add 27 to both sides of the equation

-27 + 5x = 21

-27 + 27  + 5x = 21 + 27

5x = 48

divide both sides by 5

5x / 5 = 48  /5

x = 48 / 5

Therefore,

x = 9.6

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