Find the area of a triangle where the base is 3 3/4 in and the height is 4 inches.

When listing all the pairs of factors for a particular term, the factorization process is used.

This process is fundamental in number theory and is used to break down composite numbers into their simplest building blocks: prime numbers.

For example, if we want to find all pairs of factors for the number 24, we could follow these steps:

Start with 1 and the number itself (in this case 24), as these are always factors.

Check if 2 divides 24 evenly. If it does, then 2 and 24/2 (which is 12) are a pair of factors.

Continue this process with increasing numbers. Check 3 (yes, it works, with the pair being 3 and 8), 4 (yes, with the pair being 4 and 6), and so on.

When the numbers you're testing exceed the square root of the original number (approximately 4.9 for 24), you can stop, as you'll have found all pairs.

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Answer:

3 Stamps left

Step-by-step explanation:

275/8=34.375

34*8=272

275-272=3

Answer: 3

Answer: 24°

Step-by-step explanation:

You have the opposite, the height of the building and the adjacent, the distance from the base of the building. Opposite and adjacent mean you have to use tangent. SOHCAHTOA

Take the inverse tangent on both sides

tan(Ф) = 40/90

Ф = 24°

Answer:

180-146=34       146+34=180

Step-by-step explanation:

Answer: D because 8 1/5 is smaller than 8 1/3

Answer:

$84

Step-by-step explanation:

Principal = $700

r =2 % = 0.02

t = 6 years

Simple Interest = Prt

                         = 700 * 0.02 * 6

                         = $84

Answer:

f-¹(x) = 2x – 8

f-¹(4) = 2(4) – 8 —> f-¹(4)= 8 - 8 =0

Answer:

11cm

Step-by-step explanation:

Given data

Volume of cuboid =385 cm^3

Base area= 35cm^2

We know that

Volume = Area* Height

substitute and solve for Height

385=35*H

H= 385/35

H= 11cm

Hence, the height is 11cm

After answering the presented question, we can conclude that expressions Therefore, the population of the rural city in 2030 is approximately 11,014.18.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

To approximate the population in 2030, we need to find the value of P(t) when t = 44, since 2030 is 44 years after 1986.

Using the given exponential growth model, we have:

\(P(t) = 3400^(0.0371t)\\P(44) = 3400^(0.0371*44)\\P(44) = 3400^1.6334\\P(44) = 11014.18\\\)

Therefore, the population of the rural city in 2030 is approximately 11,014.18.

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Answer:

A) 4 of the 52 cards are queens on the first draw; 3 of the remaining 51 cards are queens on the second draw: (4/52)*(3/51)

B) 4 of the 52 cards are queens on each draw: (4/52)*(4/52)

Step-by-step explanation:

correct me if. wrong

Answer:

x=84

Step-by-step explanation:

144/12 = 60/12 + x/12

12=5+x/12

12-5=x/12

7=x/12

x=84

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Answer:

13(2+3)

Step-by-step explanation:

hope this is correct let me know if you need the steps!

Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing then  R(t) = 20 + 1.6sin(2πt/5.2).

The equation for a sine wave is y = A sin (Bx + C) where A is the amplitude, B is the frequency and C is the phase shift.

In this case, the amplitude is 1.6.

Since the radius changes by a maximum of 1.6 million miles.

The frequency is 2π/5.2 (one full cycle of the sine wave in 5.2 days)

The phase shift is 0, since when t = 0 the radius is increasing.

The equation then becomes R(t) = 20 + 1.6sin(2πt/5.2)

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The preceding statement suggests that simple interest equals $4.38

Simple annual interest of borrowing-related interest that is computed using only the initial principal and a constant interest rate. Compounding, in which borrowers wind up paying tax on principle plus interest that increases over a few of payment periods, is not a part of it. The original is multiplied by time, rate of return, and time period to determine simple interest.

Due to it,

P = $39

R = 0.0625%

T = 180 days

Now, Simple Interest = P*R*T/100

Simple Interest = 39 * 0.0625 * 180/100

Simple Interest = 2.92

Therefore, Simple Interest is $4.38

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Answer:

11a+5

Step-by-step explanation:

-5a-6a-3+8

=11a+5

Answer:

Step-by-step explanation:

Use Pythagorean to determine the answer

#4

#5

#6

Answer:

x = 20

Step-by-step explanation:

4x + 20 and 2x + 60 are corresponding angles and are congruent, so

4x + 20 = 2x + 60 ( subtract 2x from both sides )

2x + 20 = 60 ( subtract 20 from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

Answer:

2nd, 3rd and 4th answers are true

Step-by-step explanation:

\(1)false \\ \\ 2)16 {x}^{2} - 64 {y}^{2} \\ {4}^{2} {x}^{2} - {8}^{2} {y}^{2} \\ (4x - 8y)(4x + 8y) = > true \\ \\ 3) {x}^{2} - 169 \\ {x}^{2} - {13}^{2} \\ (x + 13)(x - 13) = > true \\ \\ 4) {9x}^{2} - 1 \\ {3}^{2} {x}^{2} - {1}^{2} \\ (3x - 1)(3x + 1) = > true \\ \\ 5)false\)

Answer:

price per pound of apple = $1.25

price per pound of banana = $0.75

Step-by-step explanation:

Your first question is what value should you multiply the second equation by in order to eliminate the y terms.

The number should be 3.  Let us multiply the first equation by 2 and the second equation by 3 and see how y will be eliminated.

10x + 6y = 17...............(i)

9x + 6y = 15.75...........(ii)

10x - 9x  = x

6y - 6y = 0

17 - 15.75 = 1.25

x = 1.25

let us find y

10x + 6y = 17...............(i)

10(1.25) + 6y = 17

12.5  + 6y = 17

6y = 17 - 12.5

6y = 4.5

divide both  sides by 6

y = 4.5/6

y = 0.75

In order to eliminate y term from the system of equations we multiply equation 2 by -3.

The price per pound of apple is 1.25 dollars and the price per pound of bananas is 0.75 dollars.

Given equations,

\(5x + 3y = 8.5\).........(1)

\(3x + 2y = 5.25\).......(2)

Here x is the cost per  pound of apples, and y is the cost per pound of bananas.

According to the question, multiply the first equation by 2, we get

\(10x+6y=17\).....(3)

So, in order to eliminate y term from the system of equations we multiply equation 2 by -3, we get

\(-9x-6y=15.75\).....(4)

Now Adding (3) and (4) equation, we get

\(x=1.25\)

Putting the above value of x in equation 3 we get,

\(10\times1.25+6y=17\\12.5+6y=17\\6y=17-12.5\\6y=4.5\\y=\frac{4.5}{6} \\y=0.75\)

Hence the price per pound of apple is 1.25 dollars and the price per pound of bananas is 0.75 dollars.

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The area of the segment is 9( π-2) units²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.

Area of segment = area of sector - area of triangle

area of sector = 90/360 × πr²

= 1/4 × π × 36

= 9π

area of triangle = 1/2bh

= 1/2 × 6²

= 18

area of segment = 9π -18

= 9( π -2) units²

therefore the area of the segment is 9(π-2) units²

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Answer:

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

5x = 55

Divide each side by 5

5x/5 = 55/5

x = 11

Answer:

\( = > 5x = 55\)

\( = > x = \frac{55}{5} \)

\( = > x = 11\)

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The value of the composite function (f o g)(3) is 1603

The functions are given as

f(x) = 3x² - 7x - 3

g(x) = -4x - 10

Next, calculate (f o g)(x) using

(f o g)(x) = f(g(x))

So, we have

(f o g)(x) = 3(-4x - 10)² - 7(-4x - 10) - 3

Substitute 3 for x.

So, we have

(f o g)(3) = 3(-4 x 3 - 10)² - 7(-4 x 3 - 10) - 3

Evaluate

(f o g)(3) = 1603

Hence, the value of the composite function (f o g)(3) is 1603

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Answer:

\(F = 9.75cm\)

Step-by-step explanation:

Given

In ABC;

\(C = 3.9cm\)

\(Dilation = 2.5\)

Required

Determine side F

In the given question;

DEF is a dilation of ABC

Comparing both triangles side by side,

Side F is a direct dilation of side C and this is calculated as follows

\(F = Dilation * C\)

\(F = 2.5 * 3.9cm\)

\(F = 9.75cm\)

Answer:

18.85, closest answer is A.

C=2πr=2·π·3≈18.84956

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Answer:

$4.37 is a possibility to the answer

Answer:

they ate 6 pizza

Step-by-step explanation:

༼ つ ◕‿◕ ༽つ

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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Answer:

Perpendicular lines always have slopes which are negative reciprocals of each other.  Mathematically:

m1*m2=-1

In this case:

-1m/3=-1

m=3

So the slope of a perpendicular line to a line with a slope of -1/3 is 3.

Step-by-step explanation: