How many lateral faces does a triangular pyramid have
The number of lateral faces for a triangular pyramid is 3.
Given data:
Let the number of lateral faces for a triangular pyramid be A.
Now, A triangular pyramid has 3 lateral faces.
Each of these lateral faces is a triangle.
The base of the pyramid is not considered a lateral face.
It has one base face and three lateral faces.
All four faces are triangles.
It has four vertices or points.
It has six edges or line segments.
Hence, the number of lateral faces is 3.
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A 2,000-foot-long fence will be used to enclose a rectangular field that is three times as long as it is wide. What is the length of the field?
The length of rectangular field would be: 750ft
What is perimeter?Its the sum of length of the sides used to made the given figure.
Given the rectangle perimeter (2,000 ft) and the ratio of rectangle length : width (3:1).
The equation of this question should be:
3 rectangle width = rectangle length
rectangle width = 1/3 rectangle length
The rectangle perimeter = 2,000ft
Using the formula of perimeter of rectangle = 2(length+width)
Now, Length of rectangular field is calculated as;
2,000ft = 2 (length+width)
2,000ft /2 = 1/3 length + length
length = 750ft
Hence, The length of rectangular field would be: 750ft
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Find an upper limit for the zeros of 2 x4 - 7 x3 + 4 x2 + 7 x - 6 = 0
The upper limit for the zeros of the given equation is x=32.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given an equation as [tex]2x^4 - 7x^3 + 4x^2 + 7x - 6 = 0[/tex]
Step 1: First we have to Factor the left side of the equation.
(x+1)(x−1)(x−2)(2x−3)=0
Then Set factors equal to 0.
x+1=0
x−1=0
or x−2=0
2x−3=0x=−1
x=1 or x=2 or x=32
Therefore, x =−1 or x=1 or x=2 or x=32
The upper limit for the zeros of the given equation is x=32.
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Sara was on a cliff 25 feet above sea level. she jumped into the sea and descended a total of 37 feet. how many feet below sea level did she travel? justify your reasoning
Sara travels a distance of 12 feet below sea level when she jumped into the sea.
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
We have been given that Sara was on a cliff 25 feet above sea level. she jumped into the sea and descended a total of 37 feet.
To determine the number of feet below sea level travel by Sara
The number of feet below sea level = total descended - cliff of a number of feet above sea level.
Here total descent is 37 feet and the cliff is 25 feet above sea level.
Substitute the value in the above equation,
The number of feet below sea level = 37 - 25
The number of feet below sea level = 12 feet
Therefore, she travels a distance of 12 feet below sea level.
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3(x-4)<-15 solve for x
Ms shoe kept 2 meatballs to herself then divided the others equally among her 14 children if each child got 5 meatballs how many did ms shoe have to begin with?
Michael wants to eliminate the variable y from the system below by adding. First, he will have to multiply one of the equations by a number. Which step will enable him to eliminate y by adding?
Why is indirect compensation important to recruiting and retaining employees?
Indirect compensation is significant for retaining employees as it creates job security, motivates productivity, and reduces costs of recruitment and training. It also plays a role in managing modern workforce, which requires a more flexible and multi-faceted approach to retain.
Explanation:Indirect compensation is important for recruiting and retaining employees in several ways. One of them is that it often works under an implicit contract, where the employer tries to maintain wages even when the economy or the business is not doing well, providing a form of protection for the employees. This implicit contract can make workers feel secure and motivated, hence improving productivity and reducing the likelihood of them leaving the firm.
Moreover, retaining employees from more modern generations can be more challenging since their expectations differ from those of previous generations; they tend to lack inherent company loyalty, hence, frequent rewards, praises, and feedback are essential. On the other hand, the efficiency wage theory argues that better pay results in higher productivity since the employees are motivated to work harder to maintain their current job because they realize that they could suffer a wage cut if they were to lose it.
Lastly, to avoid the costly and time-consuming endeavor of hiring and training new employees, employers often find it advantageous to pay a little more to the existing ones, a strategy that not only minimizes costs but also retains skilled and motivated employees.
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A student got a grade of 85% on a text in which she answered 3 questions incorrectly. How many questions were on the test?
By interpreting the student's grade of 85% and knowing that 3 questions were answered incorrectly, we can infer that the test consisted of 20 questions in total.
To calculate how many questions were on the test, we first need to establish the relationship between the number of questions answered incorrectly and the student's overall percentage score. If the student got an 85% on the test, this means they answered 85% of the questions correctly. With 3 questions answered incorrectly, we can assume that these incorrect answers account for the remaining 15%. To find the total number of questions on the test (let's denote it as x), we set up a simple equation:
0.15x = 3
Solving for x yields:
x = 3 / 0.15
x = 20
Therefore, the test consisted of 20 questions in total.
Translate the phrase into a numerical expression.
1. seven multiplied by three
2. twice the opposite of eleven
3x/4 +2/3=x/3 find the exact answer to the simplest form
What's the ratio of 2 frogs to 5 turtles
The required ratio of 2 frogs to 5 turtles is given as 2 / 5 or 2:5.
As mentioned in the question ratio of the 2 frogs and 5 turtles is to be determined.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The ratio of the two terms is given as a / b or a: b
Let a = number of frogs ad b = number of turtles,
Now, put the values of a and b in a/b or a:b
So,
The ratio is given as,
= 2/5 or 2:5
Thus, the required ratio of 2 frogs to 5 turtles is given as 2 / 5 or 2:5.
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Which of the following, if substituted for y, would make the following inequality a true statement? –14 < y – 12?
How many significant figures are in the number 0.002849?
How many numbers are 10 units from 0 on the number line?
What did the point say to the segment
Points, rays and lines are all elements of a coordinate geometry. The text that completes, sentence A to D is as follows:
LinePlaneCollinearCoplanarFigure E is a point, while figure F is a ray
I've added as an attachment, the complete question.
A. Two points
When there are two points (say points A and B), there can only be one line segment in these points. The line segment is AB or BA
B. Three points
A plane is formed by three points. So, for any three points (whether they are collinear or not), there is exactly one plane.
C. Points on the same line
When there are more than one points on a line, such points are said to be collinear.
D. Points on the same plane
When there are more than one points in a plane, such points are said to be coplanar.
E. & F
A point is represented with a dot; So, the figure in (E) is a point.
A ray has one endpoint and an arrow at the other end. So, AB is a ray.
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describe a situation in which 2 angles are both congruent and complementary
The only situation in which two angles are both congruent and complementary is when their measures are both 45°:
Two angles are complementary if their sum is 90°, and they are congruent if their measures are the same, say n. Therefore, to find two congruent angles which are complementary, we solve the following equation:
n+n=2n
2n = 90
2n/2 = 90/2
n=45
Two angles that are both congruent and complementary can be found in right angles.
Two angles that are both congruent and complementary can be found in the case of right angles. When two angles are right angles, they are both congruent (having the same measure) and complementary (adding up to 90 degrees).
I need help with 34 and 35. Thanks
At 9:54
a.m., a patient's temperature was 101.5 degrees. At 10:41, the nurse took the patient's temperature again and found it was 105.8 degrees, the highest ever recorded. How long did it take for the patient's temperature to reach this record high?
It took approximately 47 minutes for the patient's temperature to reach a record high of 105.8 degrees, calculated by subtracting the start time from the end time.
Explanation:The subject question involves the calculation of time that elapses between two events - a start time of 9:54 a.m. and an end time of 10:41 a.m. To calculate this, we subtract the start time from the end time.
Begin by converting the times to a 24-hour clock, where 9:54 a.m. is 9.9 (as each minute represents a fraction of a full hour) and 10:41 a.m. is 10.68. Then, subtract 9.9 from 10.68 to get 0.78. This means that 0.78 hours has passed, which is equivalent to approximately 47 minutes when converted back into minutes (0.78 x 60).
So, it took approximately 47 minutes for the patient's temperature to reach the record high of 105.8 degrees.
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Consider the expression −2 + 5a + b + 2a − 5b.
Which term can be combined with 5a because they are like terms?
–2
b
2a
–5b
Answer:
2a is the answer
Step-by-step explanation:
What is 5 meters every 2 seconds as a unit rate
I don't understand how to do this problem.
A triangle has base 6 cm and area 42 cm^2 What is the height of the triangle?
The height of the triangle will be 14 cm.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
The area of the triangle is the product of half the base and the height of the triangle.
The area of the triangle = 1/2 x b x h
so we will plug numbers into the equation and solve ;
Area = 6(x) 1/2
42 = 6(x) 1/2
42 = 3(x)
Now, divide each side by 3
14 = x
Therefore, the height of the triangle will be 14 cm.
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64.48 divided by 8=n
Using long division, find the quotient
50 POINTS! HELP NEEDED!
Which of the binomials below is a factor of this trinomial? x2 - 3x - 10
A. x - 1
B. x + 1
C. x - 2
D. x + 2
Rob collects data about how many customers enter and leave a store every hour. He records a positive number for customers entering the store and a negative number for customers leaving the store each hour.
a. During which hour did more customers leave the most?
b. There were 75 customers in the store at 1:00. The store must be emptied of customers when it closes at 5:00. How many customers must leave the store between 4:00 and 5;00?
Entering Leaving
1:00 to 2:00 30 -12
2:00 to 3:00 14 -8
3:00 to 4:00 18 -30
An investment earns 6% simple interest. What amount of principal is needed to have $3000 after 5 years? Round your answer to the nearest cent.
The principal amount needed to have $3000 after 5 years with 6% simple interest is $10,000.
To find the principal amount needed to have $3000 after 5 years with 6% simple interest, we can use the formula for simple interest:
Simple Interest = Principal * Rate * Time
where Rate is the interest rate as a decimal, and Time is the time period in years.
We can rearrange this formula to solve for the Principal:
Principal = Simple Interest / (Rate * Time)
In this case, we want to find the Principal that will yield $3000 after 5 years with 6% simple interest. Therefore, we have:
Simple Interest = $3000
Rate = 0.06
Time = 5 years
Plugging these values into the formula, we get:
Principal = $3000 / (0.06 * 5) = $10,000
Therefore, the principal amount needed to have $3000 after 5 years with 6% simple interest is $10,000.
Solve for x: −5|x + 1| = 10 (1 point) x = 0 x = −3 and x = 1 x = −1 and x = 3 No solution
Answer:
The answer Is 1
Step-by-step explanation:
Got it right trust me
If a student received a score of 75% on a text in which 96 questions were answered correctly, how many questions were on the test?
Final answer:
To find the total number of questions on the test, we divide the number of correctly answered questions (96) by the score as a decimal (0.75), which gives us 128 questions in total.
Explanation:
To determine the total number of questions on the test, we can use the given information that a student received a score of 75% by answering 96 questions correctly. The percentage score represents the fraction of the total number of questions that were answered correctly. So, if 96 questions were 75% of the total, we can find the total number of questions (T) using the following equation:
75% of T = 96
0.75 × T = 96
T = 96 / 0.75
T = 128
Therefore, there were 128 questions on the test.
Find F(4) for the function f(x) = 3x-5
The value of F(4) in the given function is: f(4) = 7
How to find the range of a function?The domain of a function is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values for which the function is possible.
We are given the function as:
f(x) = 3x - 5
Thus f(4) will be gotten as:
f(4) = 3(4) - 5
f(4) = 7
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