Can someone help me with this please

Answer:

Side-Side-Side (SSS)

Step-by-step explanation:

I believe these triangles are congruent by the postulate SSS because both triangles have all three sides equal.

Answer:

Mary needs $0.18 more

Step-by-step explanation:

12 mangoes = $13.20

For every 5 mangoes that he bought he got one mango free

This means he bought 10 mangoes (5 mangoes + 1 free mango the first time and 5 mangoes + 1 free mango the second time)

If James paid $13.20 for 10 mangoes, then

Each mango cost = $13.20 / 10

= $1.32

Each mango cost $1.32

Mary wants to by 4 mangoes from the same shop.

Total cost of 4 mangoes = $1.32 × 4

= $5.28

She only has $5.10.

How much more money does she need

Amount needed more = Total amount required - total amount available

= $5.28 - $5.10

= $0.18

Mary needs $0.18 more

The expression that represents the volume of the pyramid is (1/3)(x²)(y) cubic cm.

The volume of a pyramid is calculated by the formula V = (1/3)Bh, where B is the area of the base and h is the height of the pyramid.

A solid right pyramid has a square base with an edge length of x cm and a height of y cm. Hence, the expression that represents the volume of the pyramid is:

V = (1/3)(x²)(y) cubic cm.

Therefore, the expression that represents the volume of the pyramid is (1/3)(x²)(y) cubic cm.

Learn more about volume of a pyramid

https://brainly.com/question/17615619

#SPJ11

The volume of a solid right pyramid can be calculated using the formula \(V = (1/3) \times base area \times height\).

In this case, the base of the pyramid is a square with an edge length of x cm, which means the base area is \(x^2\)square cm. The height of the pyramid is y cm.

So, the expression that represents the volume of the pyramid is:

\(V = (1/3) * x^2 * y \text{cubic cm}\)

This formula calculates the volume of a solid right pyramid with a square base, where x is the length of the base edge and y is the height of the pyramid. To find the volume, you need to multiply the base area (\(x^2\)) by the height (y) and divide the result by 3. The volume will be expressed in cubic centimeters (\(cm^3\)).

For example, if the base edge length is 4 cm and the height is 6 cm, the volume would be:

\(V = (1/3) \times (4^2) \times 6 = (1/3) \times 16 \times 6 = 32 cm^3\)

So, the volume of the pyramid would be 32 cubic centimeters.

Learn more about solid right pyramid

https://brainly.com/question/28678591

#SPJ11

a) Approximate Doubling Time Dappx = 70/r, where r is the annual interest rate in percentage terms.Assuming that r = 5%, 10%, 20%, 40%, and 60%Doubling time for 5% = 70/5 = 14 yearsDoubling time for 10% = 70/10 = 7 yearsDoubling time for 20% = 70/20 = 3.5 yearsDoubling time for 40% = 70/40 = 1.75 yearsDoubling time for 60% = 70/60 = 1.1667 yearsb) Exact Doubling Time Dexact = ln2/r where r is the annual interest rate in decimal terms.

Assuming that r = 5%, 10%, 20%, 40%, and 60%For 5%: ln2/0.05 ≈ 13.86 yearsFor 10%: ln2/0.1 ≈ 6.93 yearsFor 20%: ln2/0.2 ≈ 3.47 yearsFor 40%: ln2/0.4 ≈ 1.73 yearsFor 60%: ln2/0.6 ≈ 1.16 yearsc)

The percentage error is given by:(Dexact − Dappx)/Dexact × 100%For 5%: (13.86 - 14)/13.86 x 100% ≈ 1.18%For 10%: (6.93 - 7)/6.93 x 100%

≈ 1.15%For 20%: (3.47 - 3.5)/3.47 x 100%

≈ -0.86%For 40%: (1.73 - 1.75)/1.73 x 100%

≈ -1.15%For 60%: (1.16 - 1.1667)/1.16 x 100%

≈ -0.60%Note that the percentage error is small for lower values of interest rates but increases as the interest rate increases.

Also, the percentage error is negative for 20%, 40%, and 60%, which means that the approximate doubling time is actually larger than the exact doubling time.

To know more about Doubling visit:

https://brainly.com/question/23848329

#SPJ11

Answer:

It may help if we could read it

Answer:

second option

Step-by-step explanation:

hope this helps

Answer:

A=1, B=4

Step-by-step explanation:

Given, (A,2) (4,B) slope = 2/3 B=A+3

Slope = (y2-y1) / (x2-x1)

= (B-2) / (4-A)

= (A+3-2) / (4-A)

= (A+1) / (4-A)

= 2/3

Cross multiplying,

3*(A+1) = 2*(4-A)

3A+3 = 8-2A

5A=5

A=1

B=A+3=1+3=4

The missing number in 6 17 37 10 10 25 12 32 ? is 37.

Based on the provided sequence, the missing number can be determined by observing the pattern within the given numbers. Let's analyze the sequence:

6 17 37 10 10 25 12 32 ?

By examining the sequence, we can identify the following pattern:

The first number, 6, increases by 11 to become 17.

The second number, 17, increases by 20 to become 37.

The third number, 37, increases by 27 to become 64.

At this point, we can see that the pattern alternates between adding the square of an increasing increment and subtracting that same increment from the previous number. So, to continue the pattern:

The fourth number, 10, decreases by 6 to become 4.

The fifth number, 10, decreases by 1 to become 9.

The sixth number, 25, increases by 3 to become 28.

The seventh number, 12, decreases by 4 to become 8.

The eighth number, 32, increases by 5 to become 37.

Therefore, the missing number in the sequence is 37.

Know more about missing number here:

https://brainly.com/question/23171011

#SPJ11

Answer:

m < 38

Step-by-step explanation:

122

20 +

142

180-

142

m < 38

The equation of the new function will be: y = 2x + 5

The equation for a linear function with a slope of m and y-intercept of b is represented as y = mx + b.

We are Given a linear function graph passes the points (-0.5, 0) and (0, 1):

Y-intercept (b) = 1 (value of y when x = 0)

Thus Slope (m) = change in y/change in x = (1 - 0)/(0 - (-0.5)) = 2

If the slope (1) is multiplied by 2, the new slope would be: 2

If the y-intercept is increased by 3 units, the new y-intercept will be: 5

The equation of the new function will be: y = 2x + 5

Learn more about linear function on:

brainly.com/question/4025726

#SPJ1

Answer:

by solving it's angle it's easy

The measurement of angle X in ∆WXY is 75.7

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. The above figure is a triangle denoted as △ABC.

The sum of angle in a triangle is 180°. i.e

X+Y+Z = 180°

W = Y-5

X = Y+21

therefore

Y+21+Y-5+Y = 180

3Y +16 = 180

3Y = 180-16

3Y = 164

Y = 164/3

Y = 54.7°

X = 54.7° + 21

X = 75.7°

therefore the measurement of angle X is 75.7°

learn more about angles In a triangle from

https://brainly.com/question/25215131

#SPJ1

The derivate of f(y) is -9y^6 - 33y^4 + 84y^2.

To differentiate the given function f(y), we will use the product rule and the chain rule of differentiation. Let's break down the function into two parts:

f(y) = (1 y^2 - 9 y^4) * (y + 3y^3)

Using the product rule, we can differentiate each part separately:

f'(y) = (1 y^2 - 9 y^4)' * (y + 3y^3) + (1 y^2 - 9 y^4) * (y + 3y^3)'

The derivative of the first part is:

(1 y^2 - 9 y^4)' = 2y - 36y^3

Now we need to differentiate the second part using the chain rule. Let's call the inner function u:

u = y + 3y^3

Using the power rule, the derivative of u with respect to y is:

u' = 1 + 9y^2

Now we can substitute these values back into our original equation:

f'(y) = (2y - 36y^3) * (y + 3y^3) + (1 y^2 - 9 y^4) * (1 + 9y^2)

Simplifying further:

f'(y) = 2y^2 + 6y^4 - 36y^4 - 108y^6 + y^2 + 9y^4 - 9y^6 + 81y^2

Combining like terms:

f'(y) = -9y^6 - 33y^4 + 84y^2

Therefore, the derivative of f(y) is -9y^6 - 33y^4 + 84y^2.

Visit here to learn more about chain rule:

brainly.com/question/28972262

#SPJ11

Answer:

It’s 50

Step-by-step explanation:

I just know

Answer:

The ruler at store A cost more

Step-by-step explanation:

Ruler A=$0.95 per ruler

Ruler B=$0.92 per ruler

(a) The solutions to the linear congruence 15x ≡ -3 (mod 21) are x ≡ 2 (mod 21) and x ≡ 11 (mod 21).

The solutions to the system of linear congruences x ≡ 18 (mod 26) and x ≡ 5 (mod 39) are x ≡ 769 (mod 1014).

(a) To find the solutions of the linear congruence 15x ≡ -3 (mod 21), we need to find values of x that satisfy the equation. We can begin by simplifying the congruence. Since 15 is congruent to -6 modulo 21 (15 ≡ -6 (mod 21)), we can rewrite the congruence as -6x ≡ -3 (mod 21). To eliminate the negative coefficient, we can multiply both sides by -1, resulting in 6x ≡ 3 (mod 21).

Next, we need to find the modular inverse of 6 modulo 21. The modular inverse of a number a modulo m is a number b such that (a * b) ≡ 1 (mod m). In this case, 6 and 21 are relatively prime, so their modular inverse exists. We find that the modular inverse of 6 modulo 21 is 18.

Multiplying both sides of the congruence by the modular inverse, we get 18 * 6x ≡ 18 * 3 (mod 21), which simplifies to x ≡ 2 (mod 21). This gives us one solution. To find additional solutions, we can add multiples of the modulus (21) to the solution. Thus, the solutions to the congruence are x ≡ 2 (mod 21) and x ≡ 11 (mod 21).

(b) To find the solutions to the system of linear congruences x ≡ 18 (mod 26) and x ≡ 5 (mod 39), we can use the Chinese Remainder Theorem (CRT). First, we note that 26 and 39 are relatively prime.

Using CRT, we need to find the solutions to x ≡ 18 (mod 26) and x ≡ 5 (mod 39) separately. For the congruence x ≡ 18 (mod 26), we can observe that x = 18 + 26k, where k is an integer.

Substituting this expression into the second congruence x ≡ 5 (mod 39), we get 18 + 26k ≡ 5 (mod 39). Solving this congruence, we find k ≡ 14 (mod 39).

Substituting the value of k back into x = 18 + 26k, we get x = 18 + 26 * 14 = 769. Therefore, x ≡ 769 (mod 1014) is the solution to the system of linear congruences.

Learn more about congruence:

brainly.com/question/31992651

#SPJ11

The trees will be the same height in 2 years and the height of these trees will be 22 ft.

A linear expression can be represented by a line. The standard form for this equation is: y=mx+b , for example, y=x+10. Where:

m= the slope.

b= the constant term that represents the y-intercept

For the given example: m=1 and b=10.

For solving the question you should convert the given text into an algebraic expression.

Tree01= 18+2*y

Tree02= 20.5+0.75*y (Note that  3/4=0.75)

y= number of years

Therefore,

18+2*y=20.5+0.75*y

2y-0.75*y=20.5-18

1.25y=2,5

y=2

Thus, at 2 years the trees will be the same height.

When y=2, you have:

Tree01= 18+2*y= 18+2*2=18+4=22

Tree02= 20.5+0.75*y =20.5+1.5=22

Learn more about the algebraic expression here:

brainly.com/question/2164351

#SPJ1

Answer:

\(182\frac{35}{48}\)

Step-by-step explanation:

To find the number of pages Rosa read subtract 36 1/3 from 140 3/4

140 3/4-36 1/3= 104 5/12

Then multiply 1 3/4 to that to get how many pages Juan read

The answer will be \(182\frac{35}{48}\)

If the series ∑an and ∑bn are both convergent series with positive terms, then the series ∑anbn is also convergent.

This can be proven using the Comparison Test for series convergence. Since an and bn are both positive terms, we can compare the series ∑anbn with the series ∑an∑bn.

If ∑an and ∑bn are both convergent, then their respective partial sums are bounded. Let's denote the partial sums of ∑an as Sn and the partial sums of ∑bn as Tn.

Then, we have:

0 ≤ Sn ≤ M1 for all n (Sn is bounded)

0 ≤ Tn ≤ M2 for all n (Tn is bounded)

Now, let's consider the partial sums of the series ∑an∑bn:

Pn = a1(T1) + a2(T2) + ... + an(Tn)

Since each term of the series ∑anbn is positive, we can see that each term of Pn is the product of a positive term from ∑an and a positive term from ∑bn.

Using the properties of the partial sums, we have:

0 ≤ Pn ≤ (M1)(Tn) ≤ (M1)(M2)

Hence, if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is also convergent.

Therefore, the given statement is True.

learn more about convergent series here : brainly.com/question/32202517

#SPJ11

Answer:

Step-by-step explanation:

Answer:

YA 3.14 IS A RATIONAL NUMBER

46 inches big piece of cardboard is needed.

A square box is a three-dimensional object with the shape of a cube.

As per the question,

We know that,

                         V   =   h × w × l         →      1

where,              V  =   volume of the box

                         h  =   height of the box

                        w  =  width of the box

                          l  =   length of the box

Substitute the values V = 6480, h = 5, w = x - 10 and l = x - 10 in 1,

⇒   5 × ( x - 10 ) × ( x - 10 )   =   6480

⇒   5 × ( x² - 10x - 10x + 100 )   =   6480

⇒   5 × ( x² - 20x + 100 )   =   6480

⇒   5x² - 100x + 500   =   6480

⇒   5x² - 100x   =   6480 - 500

⇒   5x² - 100x   =   5980

⇒   5x² - 100x - 5980   =   0

⇒   5 ( x² - 50x - 1196 )   =    0

⇒   x² - 50x - 1196   =    0

By solving the equation x² - 50x - 1196   =    0 we get,

x   =   46   and   -26

⇒  We eliminate x = -26 since it is a negative value

⇒  We consider the positive value x = 46.

Therefore, 46 × 46 inches is the dimensions of the square card box.

To know more about finding the volume of a box refer to:

https://brainly.com/question/19053087

#SPJ4

Answer:

guy above is right

Step-by-step explanation:

x -4y = 8

The number of miles that a signal sent from Station 1 to the satellite and then to Station 2 will have to travel is; 48135 miles

Let us first find the distance from Station 1 to the satellite:

Using trigonometric ratio, we have;

tan 8.7 = length of longest leg/length of shortest leg

Thus;

tan 8.7 =  3963/length of longest leg

Length of longest leg = 3963/tan8.7°

Length of longest leg = 3963/0.15302150298

Length of longest leg = 25,898 miles

Distance from Station 2 to satellite:

Using trigonometric ratio again, we have;

sin 8.7 = length of longest leg/ length of hypotenuse

sin  8.7 =  3963/length of hypotenuse

Length of hypotenuse =3963/ sin 8.7

Length of hypotenuse =3963/0.1526082024

Length of hypotenuse = 26, 200 miles

Thus, the difference is;

26200 - 3,963 = 22237 miles

Total distance will calculated as;

25898 miles  + 22237 miles = 48135 miles

Read more about Distance of separation at; https://brainly.com/question/20629991

#SPJ1

The complete question is:

A satellite orbiting the earth uses radar to communicate with two control stations on the earth's surface. The satellite's orbit maintains a 10-degree angle of separation between the two stations, as shown in the picture below. Knowing that the earth's radius is 3,963 miles.

How many miles will a signal sent from Station 1 to the satellite and then to Station 2 have to travel?

The present worth (PW) of each project is calculated based on the given cash flows and the firm's minimum attractive rate of return (MARR) of 10% per year.

To calculate the PW of each project, we discount the cash flows at the MARR of 10% per year. The PW for each project is determined as follows:

Project 1: EOY 0: -\(10,000 + (5,125 / (1 + 0.10)^1) + (5,125 / (1 + 0.10)^2) + (5,125 / (1 + 0.10)^3) = $10,682.13\)

Project 2: EOY 0: -\(8,500 + (4,450 / (1 + 0.10)^1) + (4,450 / (1 + 0.10)^2) + (4,450 / (1 + 0.10)^3) = $9,202.79\)

Project 3: EOY 0: \(11,000 + (5,400 / (1 + 0.10)^1) + (5,400 / (1 + 0.10)^2) + (5,400 / (1 + 0.10)^3) = $9,834.71\)

The project with the highest PW is recommended. In this case, Project 1 has the highest PW of $10,682.13, so it would be the recommended project.

The IRR for each project can be determined by finding the discount rate that makes the PW equal to zero. Using the cash flows provided, the IRR for each project can be calculated using a trial-and-error approach or financial software. Let's assume the IRRs are as follows:

Project 1: IRR ≈ 17.5%

Project 2: IRR ≈ 15.3%

Project 3: IRR ≈ 13.8%

The project with the highest PW may differ from the project with the largest IRR due to the timing and magnitude of cash flows. The PW takes into account the timing of cash flows and discounts them to the present value. It represents the total value created by the project over its lifetime. On the other hand, the IRR considers the rate of return that equates the present value of cash inflows to the initial investment. It represents the project's internal rate of return.

Therefore, a project with a higher PW indicates higher overall value, while a project with a larger IRR implies a higher rate of return. These measures can lead to different rankings depending on the cash flow patterns and the MARR.

Learn more about discount here:

https://brainly.com/question/29205061

#SPJ11

Answer:

corresponding angles, alternate exterior angles

Step-by-step explanation:

when you have to parallel lines cut be a transversal, you get different pairs of angles that are either equal or supplementary (add to 180).

For example, corresponding angles are congruent, and alternate exterior angles are congruent.

Let the number be n, then -1<3n+5<38 or -1≤3n+5≤38 depending on what is meant by “between”. We’ll assume the former.

-1<3n+5<38, subtract 5 throughout: -6<3n<33, divide through by 3: -2<n<11, shows the number to be in the range (-2,11) or possibly [-2,11].

Linear velocity of a person riding is 5.6 ft/s and time for one revolution of ferries wheel is 31.8 sec.

What is linear velocity?

Linear velocity, v, is defined as the rate of change of linear displacement, s, with respect to time, t.

On a ferries wheel, displacement = circumference of the wheel = 2πr

Hence linear velocity, v = 2πr/T

According to the given question:

Diameter of the wheel is 80 feet

So, radius of wheel = 40 feet

If Ferris wheel makes one revolution is 45 seconds

Then linear velocity

v = 2πr/T = 2 x 3.14 x 40/45

v = 5.6 ft/s

If linear velocity of a person riding on wheel is 8 ft/s then time for one revolution

T = 2πr/v = 2 x 3.14 x 40/ 8

T = 31.8 sec

To know more about linear velocity visit

https://brainly.com/question/16123156

#SPJ4