Use the net as an aid to compute the surface area of a triangle pyramid with an equilateral triangle base

Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

Find out more on the coupon rate at https://brainly.com/question/28528712

#SPJ1

Step 1

Given;

Step 2

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are; -1.43, 1 3/4, 3.14,0.09, and 5,643.1.

We know that the perfect squares between √11 are;

Hence, the answer will be;

Answer:

B. (3,4) (3,8)

Step-by-step explanation:

Answer:

2.5 km

Step-by-step explanation:

15 minutes is

15 minutes * 1 hour/ 60 minutes = 1/4 hour

15 minutes = 1/4 of an hour

10 km/ hour * 1/4 hour = 10/4  km  = 2.5 km

Answer:

In total she ran 2.5km/h in 15 minuets.

Step-by-step explanation:

Since 15 minuets is a quarter of an hour you can divide the 10km/h by 4 to get 2.5km/h.

Answer:

0

Step-by-step explanation:

It’s easy

Answer:

Error or Undefined

Answer:

i just want points

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

162

Step-by-step explanation:

(12 square - 15 + 17) + 16

=(144 - 15 + 17) + 16

=146 + 16

=162

The fraction that Owen and Bella left uneaten is given as follows:

5/12.

The fraction left uneaten is obtained applying the proportions in the context of this problem, as these amounts are represented by fractions.

The amounts eaten by each is given as follows:

The sum of the fractions eaten by each are given as follows:

1/4 + 1/3 = (3 + 4)/12 = 7/12.

The fraction that represents the total of the bar is given as follows:

1.

The bar is divided into the eaten fraction and the uneaten fraction, hence the uneaten fraction is given as follows:

1 - 7/12 = 12/12 - 7/12 = 5/12.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The fraction that Owen and Bella left uneaten is given as follows:

5/12.

How to obtain the fraction left uneaten?

The fraction left uneaten is obtained applying the proportions in the context of this problem, as these amounts are represented by fractions.

The amounts eaten by each is given as follows:

Bella: 1/4.

Owen: 1/3.

The sum of the fractions eaten by each are given as follows:

1/4 + 1/3 = (3 + 4)/12 = 7/12.

The fraction that represents the total of the bar is given as follows:

1.

The bar is divided into the eaten fraction and the uneaten fraction, hence the uneaten fraction is given as follows:

1 - 7/12 = 12/12 - 7/12 = 5/12.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

Answer:

124

Step-by-step explanation:

Based on the question, we are looking for a number that is equal to 31 when you divide the number by 4 (or multiply by 1/4, same thing). You can also represent this with an equation: 1/4x=31. This says: 1/4 of a number x is equal to 31.

1/4x=31

4(1/4x)=31(4)

x=124

You don't need an equation for this type of problem (you can simply multiply 31 by 4), but it can help if you are not sure what calculations to do!

The complete sentence is,

⇒ 1/4 of 124 = 31

Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.

Let the number is,

⇒ x

Hence, We can formulate;

⇒ 1/4 of x = 31

Solve for x as;

⇒ 1/4 × x = 31

Multiply by 4;

⇒ x = 31 × 4

⇒ x = 124

Thus, The value of number is, 124

Learn more about the multiplication visit:

brainly.com/question/10873737

#SPJ2

Answer:

B

Step-by-step explanation:

Answer:

A. 14(2/5.1/7)

Step-by-step explanation:

Answer:

Ok thats really cool thanks :)

The difference in cost between a one-line ad and a four-line ad is 0

From the question, we have the following parameters that can be used in our computation:

c(x) = 40 x ≤ 5

c(x) = 40 + 7(x-4), x>5)

For one line add, we make use of the function

c(x) = 40 x ≤ 5

This is so because 1 is in the domain of x ≤ 5

For four line add, we make use of the function

c(x) = 40 x ≤ 5

This is so because 4 is in the domain of x ≤ 5

So, we have

C(1) = 40 and C(4) = 40

The difference, it

Difference = 40 - 40

Evaluate

Difference = 0

Hence, the difference is 0

Read more about piecewise function at

https://brainly.com/question/27262465

#SPJ1

Answer:

a) 3/4

b)4/6 = 2/3

hope this helps u

pls mark me as brainiest :)

Answer:

false; Only square roots can result in irrational numbers. Subtraction of any two real numbers results in a rational number.

Step-by-step explanation:

Rational numbers in any operation with a rational number except square rooting will result in a rational number.

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

Read more on average here: brainly.com/question/878454

#SPJ1

Answer:1/3

Step-by-step explanation:

The maximum height of the golf ball on Mars is about 48.8 meters.

To find how much longer it would take for the golf ball hit on Mars to reach the ground, we can use the given equation h = -1.9t² + 26t, where h is the height of the object and t is the time in seconds. First, we need to find the time it takes for the golf ball to reach the ground on Mars. Setting h = 0, we get:

0 = -1.9t² + 26t

Solving for t using the quadratic formula, we get t = 13.684 or t = 0.856. Since the golf ball is launched upward, we need the positive value of t, so it takes about 13.7 seconds for the golf ball to reach the ground on Mars. Therefore, it takes 13.7 − 5.4 = 8.3 seconds longer for the golf ball hit on Mars to reach the ground than the golf ball hit on Earth.

To find the maximum height of the golf ball on Mars, we can use the formula h = -1.9t² + 26t, where t is the time when the height is maximum. Since the formula is a quadratic equation, the maximum height occurs at the vertex of the parabola, which is at t = -b/2a.

In this case, a = -1.9 and b = 26, so the time at maximum height is t = -26 / 2(-1.9) = 6.842. Plugging this value into the equation for h, we get:

= -1.9(6.842)² + 26(6.842) ≈ 48.8 meters

For such more questions on height

https://brainly.com/question/597381

#SPJ8

Answer:

24

Step-by-step explanation:

8 times 3=24

Answer:

Step-by-step explanation:

To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.

From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.

Using the given values of a₁, a₃, and a₅, we can find the first few differences:

a₃ - a₁ = 4 - (-6) = 10

a₅ - a₃ = 14 - 4 = 10

So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:

a₂ = a₁ + d = -6 + 10 = 4

a₄ = a₃ + d = 4 + 10 = 14

a₆ = a₅ + d = 14 + 10 = 24 - 1

a₇ = a₆ + d = 24 - 1 + 10 = 33

Now, we can find the second difference between consecutive terms:

a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0

a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5

a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9

Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:

an = an² + bn + c

Substituting the values we know, we get three equations:

a₁ = a₁² + b₁ + c --> -6 = c

a₃ = a₃² + b₃ + c --> 4 = 9a + b + c

a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c

Solving this system of equations, we get:

a = 1/2, b = 19/2, and c = -6

Therefore, the equation for the nth term in the sequence is:

an = (1/2)n² + (19/2)n - 6.

Answer:

Below

Step-by-step explanation:

12:10 PM -   ( 1 + 1 ) hr = 10:10 AM    then subtract the 40 min to get 9:30 AM

Step-by-step explanation:

please mark me as brainlest

Answer:

what are the numbers?

Step-by-step explanation:

Answer:

what numbers. give me brainliest

Step-by-step explanation:

Step-by-step explanation:

18/x is the same as 18•x-¹

derivative of ax^n=n•ax^n-1

derivative of 18•x-¹= -1•18•x-²

= -18x-² which is the same as -18/x²

hence 2-18/x²

Answer: 0.35

Step-by-step explanation:

Times 7 = 2. 45kg

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

For similar question on surveyed.

https://brainly.com/question/14610641  

#SPJ8

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

Learn more on a Ferris wheel here;

https://brainly.com/question/30524034

#SPJ1