Write the order of the angle measures from least to greatest.

Answer:

its a right angle and the area of it is 24

Step-by-step explanation:

Answer: 3 1/3

Step-by-step explanation:

Each tick mark marks 1/3 of a space. A is at - 3 1/3. The absolute value of any number is positive and is just the number of spaces a dot is from zero. You can’t have a negative distance, so the answer is 3 1/3.

Answer:

the answer is b

Step-by-step explanation:

The Limit of g(x) as x approaches 29 is DNE.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

We have a function g(x).

In the given table we have different values of x corresponds to g(x).

Now, the value for x= 29 is not given in the table which is not defined.

and, if the value is not defined then it is also infinity.

So, the limit of g(x) tends to 29 is DNE.

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Answer:

20.4

Step-by-step explanation:

(15*36)/100+15

Number of glasses Michael can fill is \(3\frac{1}{3}\) or 3.33 cups

A number is divided in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. Of course, in order to be fair, you should always pay each person the same amount.

In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

Given: Number of cups Michael have = 2 1/2 cups = 2 + 0.5 = 2.5 cups

To find : How many glasses he can fill .

So since each glass holds 3/4 cups = 0.75

Thus number of glasses which can be filled = 2.5 / 0.75

= 3.33 or \(3\frac{1}{3}\)

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Answer:

The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).

Step-by-step explanation:

Answer:

192 cubic feet

Step-by-step explanation:

The volume V of a triangular pyramid is given by the formula:

V = (1/3) * base area * height

where base area is the area of the triangular base.

In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:

base area = length * width = 8 ft * 8 ft = 64 sq ft

Substituting the given values into the formula, we get:

V = (1/3) * 64 sq ft * 9 ft

V = 192 cubic feet.

Therefore, the volume of the triangular pyramid is 192 cubic feet.

The solution to the linear equation given as 2.4 (x - 6) = 0.4 (x + 8) + 12 is  x = 14.8

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The linear equation is given as

2.4 (x - 6) = 0.4 (x + 8) + 12

Open the brackets

So, we have

2.4x - 14.4 = 0.4x + 3.2 + 12

Collect the like terms in the above expression

So, we have

2.4x - 0.4x = 14.4 + 3.2 + 12

Evaluate the like terms in the above expression

So, we have

2.0x = 29.6

Evaluate the quotient in the above expression

So, we have

x = 14.8

Hence the solution to the linear equation given as 2.4 (x - 6) = 0.4 (x + 8) + 12 is  x = 14.8

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Answer:

almost 0%

Step-by-step explanation:

Given that for an insurance company with 10000 automobile policy holders, the expected yearly claim per policyholder is $240 with a standard deaviation of 800

using normal approximation, the probability that the total yearly claim exceeds $2.7 million is calculated as follows:

Sea sumatoria de x = SUMX, tenemos que:

\(P (SUMX \geq 2700000) = P(\frac{SUMX - 240*10000}{800 *\sqrt{10000} } \geq \frac{2700000 - 240*10000}{800 *\sqrt{10000} })\)

\(= P (z\geq \frac{2700000 - 240*10000}{800 *\sqrt{10000}})\)

= P (z => 3.75)

= 1 - P ( z < 3.75)

P = 1 - 0.999912

P = 0.000088

Which means that the probability is almost 0%

Answer:

7606.62

Step-by-step explanation:

Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.

\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)

Now just equate this to a time 0 payment at the same rate

\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)

As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.

SOLUTION:

=) x² - 15² = 121

=) x² - 225 = 121

=) x² = 121 + 225

=) x = root 346

=) x = 18.6

Answer:

\(x = 26\) , \(x = 4\)

solving steps:

\((x - 15)^2 = 121\)

\(\sqrt{(x - 15)^2} = \pm \sqrt{121}\)

\(x- 15= \pm 11\)

\(x = 11 + 15\) , \(x = -11 +15\)

\(x = 26\) , \(x = 4\)

Answer:

1/2 = 3/6 so if

1/2 + 1/6 = 3/6+1/6 = 4/6

to reduce 4/6, divide top and bottom by same number, in this case, 2.

4/6 = 2/3

Answer:

#28: 13

#29: 22

Step-by-step explanation:

The first question

f(5) =3(5) -2

f(5) = 15 -2

f(5) = 13

Second question

P(2,9) = 2(2) + 2(9)

P(2,9) = 4 + 18

P(2,9) = 22

The volume of the cuboid, obtained using the specified area of the rectangular face and the square thickness surface, indicates that the possible volume of the cuboid are;

2,646 cm³ or 756 cm³, depending on the thickness of the cuboid

A cuboid is a hexahedron consisting of six quadrilateral faces.

The area of the rectangular face of the cuboid, A = 126 cm²

The ratio of the length to the height of the rectangular face = 7 : 2

Let L represent the length of the rectangular face, and let H represent the height of the face, we get;

A = L × H = 126

L/H = 7/2

Therefore; L = (7/2) × H

Plugging in the value of L, in the equation for the area, we get;

A = (7/2) × H × H = (7/2) × H² = 126

H² = 126 × (2/7) = 36

H = √(36) = 6

The height of the rectangular face, H = 6 cm

L = (7/2) × H

Therefore, L = (7/2) × 6 = 21

The length, L, of the rectangular face, L = 21 cm

Whereby the cuboid consists of two square faces, we get;

The possible volume, V, of the cuboid are V = H×L² or V = L×H²

Therefore, the possible volume of the cuboid are;

V = 6 × 21² = 2646 cm³

V = 21 × 6² = 756 cm³

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Answer:

2

Step-by-step explanation:

(n+1)!=1×2×...×(n-1)×n×(n+1)

6*(n-1)!=1×2×...×(n-1)

--> n×(n+1)=6

-->n=2

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

did the test

We have that The height changing rate  when the length of the base is 2 cm

\(dh/dt=-7.2cm/s\)

From the question we are told

The diagonal of a rectangle, with base x, remains at a fixed value of 3cm. If the base is increasing at a rate of 8 cm/s. at what rate is  the height changing when the length of the base is 2 cm?

Generally the Pythagoras equation for the triangle   is mathematically given

as

\(r^2=h^2+x^2\)

With r=3

Therefore

dx/dt=8cm/s

Hence

\(2rdr/dt=2hdh/dt+2xdx/dt\\\\\dh/dt=\frac{-x}{r^2-x^2}dx/dt\)

We  have

\(dh/dt=-2/\sqrt{5}(8)\\\\dh/dt=-7.2cm/s\)

Therefore

The height changing rate  when the length of the base is 2 cm

\(dh/dt=-7.2cm/s\)

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Answer:

10:35 is the ratio

Step-by-step explanation:

2 x 5 = 10

7 x 5 = 35

Answer:

29

Step-by-step explanation:

Answer:

n=29sides

sum of interior angle of polygon=(n-2)180=(29-2)180=27×180=4860°

Answer:

The answer is 100. One way to find it out is 1600/16, and then you get 100.

B. 1/2

The blue marbles are half of the marbles that there are, so that makes it 1/2 which is also counted as 50%.

Hope that helped:)

The final price of the textbook for an English literature course, which is 12% more than the listed price of $130 when tax and shipping costs are included, is $145.60.

The final price of the textbook includes the costs of tax and shipping of 12%, which is added to the listed price.

The final price of the textbook can be computed, using the increase factor, as follows:

The listed price = $130

The increase in the final price = 12%

12% = 0.12 (12/100)

Increase factor = 1.12%

The final price = $145.60 ($130 x 1.12)

Thus, when adding 12%, which represents the tax and shipping costs, to the listed price, the final price is $145.60.

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Answer:

It would be the third answer choice

Step-by-step explanation:

Answer:

graph c, a translation on just sliding the shape around

Answer:

18.85

Step-by-step explanation:

2(3.14)(3)

If a person deposits $8,000 into a savings account at 6.5% interest compounded quarterly for 12 years, the balance (future value) will be $17,342.70.

The future value is the compounded present value of an investment for a future period.

The future value can be computed using the FV formula, table, or an online finance calculator as below.

N (# of periods) = 48 quarters (12 years x 4)

I/Y (Interest per year) = 6.5%

PV (Present Value) = $8,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $17,342.70

Total Interest = $9,342.70

Thus, the future value of a present investment of $8,000 at 6.5% interest compounded quarterly for 12 years is $17,342.70.

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Answer:

11.46

Step-by-step explanation:

Answer:

11.46

Step-by-step explanation:

Answer:

i think the first on means 1/3 is equal to 3

Step-by-step explanation:

second one i think is 2

if i get it rong pls dont be mad

1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

We have,

To calculate the amount of barbed wire needed to fence the circular piece of land, we need to find the circumference of the circle.

Given:

Radius (r) = 25 cm

The formula for the circumference (C) of a circle is:

C = 2πr

Substituting the given radius into the formula, we have:

C = 2π x 25 cm

Now, we can calculate the circumference in centimeters.

C = 2 x 3.14 x 25 cm

C ≈ 157 cm

Now,

To convert centimeters to meters, we divide the circumference by 100.

C (in meters) = 157 cm / 100

C (in meters) ≈ 1.57 meters

Therefore,

Approximately 1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

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The complete question.

A circular piece of land with a radius of 25 cm is going to be fenced. How many meters of barbed wire are needed?

Answer:

A negative correlation means that there is an inverse relationship between two variables - when one variable decreases, the other increases. The vice versa is a negative correlation too, in which one variable increases and the other decreases.

Step-by-step explanation:

The acceleration of the collar at point A is 5 ft/s^2.

A) To determine the normal force on the collar at point A, we need to consider the forces acting on the collar. The only force acting on the collar in the vertical direction is the weight of the collar (5 lb), which is balanced by the normal force exerted by the rod. Therefore, we can write:

N - 5 = 0

where N is the normal force. Solving for N, we get:

N = 5 lb

B) To determine the acceleration of the collar at point A, we need to use Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration. The net force on the collar is given by the force exerted by the spring, which is equal to the spring constant times the displacement of the collar from its unstretched length. At point A, the displacement of the collar is:

x = L - y = 3 - 0 = 3 ft

where L is the length of the rod and y is the position of the collar on the rod. Therefore, the force exerted by the spring is:

F = kx = 10 lb/ft × 3 ft = 30 lb

The weight of the collar is:

W = mg = 5 lb

where g is the acceleration due to gravity. The net force on the collar is therefore:

Fnet = F - W = 30 - 5 = 25 lb

Using Newton's second law, we can write:

Fnet = ma

where a is the acceleration of the collar. Solving for a, we get:

a = Fnet / m = 25 lb / 5 lb = 5 ft/s^2

Therefore, the acceleration of the collar at point A is 5 ft/s^2.

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Answer: 20 weeks

Step-by-step explanation:

340 - 40 = 300

15 (w)

300 / 15 = 20

15 (20) = 300