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olga2289 [7]
2 years ago
12

Two similar pyramids have base edges 3 and 5. Find the following (use a colon between the numbers):

Mathematics
1 answer:
Neko [114]2 years ago
6 0
A) 3 : 5

b) 9 : 25

c) 3 : 5

d) 27 : 125

e) 9 : 25

Because the pyramids are similar, any lengths will have the same ratio, areas the ratios squared and volumes cubed.
(You do not need to know their exact shapes or the formulae for the areas or volume.)
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Only 3/5 of the University students wanted to become math teachers if 3500 did not want to become math teachers how many univers
Tasya [4]

Answer:

8750

Explanation:

There are 5/5 math teachers in the university. 3/5 of them did not want to become math teachers which means 2/5 of the math teachers is equal to 3500.

3500=2/5

divide 3500 by 2 to get 1/5 of the math teachers.

3550/2=1750

1750 is 1/5 of the math teachers.

multiply 1750 by 5 to get 5/5 of the math teachers

1750*5= 8750

3 0
2 years ago
Need help with this math problem
makvit [3.9K]

Answer:

P(x) = x^4 -16x^3 +76x^2 -72x -100

Step-by-step explanation:

The two roots 1-√3 and 1+√3 give rise to the quadratic factor ...

... (x -(1-√3))(x -(1+√3)) = (x-1)^2 -(√3)^2 = x^2 -2x -2

The complex root 7-i has a conjugate that is also a root. These two roots give rise to the quadratic factor ...

... (x -(7 -i))(x -(7 +i)) = (x-7)^2 -(i)^2 = x^2 -14x +50

The product of these two quadratic factors is ...

... P(x) = (x^2 -2x -2)(x^2 -14x +50) = x^4 +x^3(-14 -2) +x^2(50 +28 -2) +x(-100+28) -100

... P(x) = x^4 -16x^3 +76x^2 -72x -100

7 0
2 years ago
Read 2 more answers
Which of the following values are perfect squares? Check all that apply.
densk [106]

Answer:1,81 and 121.;)

Step-by-step explanation:

6 0
3 years ago
A population of 200 animals has a growth rate of 1.03% each year. at this growth rate, the function f(x)=200(1.03)^x gives the p
Y_Kistochka [10]
For this case, the first thing we should do is use the following equation:
 f (x) = 200 (1.03) ^ x
 We substitute f (x) = 300:
 300 = 200 (1.03) ^ x
 We clear the value of x:
 log1.03 (300/200) = log1.03 ((1.03) ^ x)
 x = log1.03 (300/200)
 x = 13.72
 Answer: 
 the population will first reach 300 in about 13.72 years.
6 0
2 years ago
I am giving brainlist to quickest and the correct answer
Andrei [34K]

Answer:

<h2>83</h2><h2 /><h2>Division</h2>

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication (which can be viewed as the inverse of division). The division sign ÷, a symbol consisting of a short horizontal line with a dot above and another dot below, is often used to indicate mathematical division. This usage, though widespread in anglophone countries, is neither universal nor recommended: the ISO 80000-2 standard for mathematical notation recommends only the solidus / or fraction bar for division, or the colon for ratios; it says that this symbol "should not be used" for division.

At an elementary level the division of two natural numbers is – among other possible interpretations – the process of calculating the number of times one number is contained within another one. This number of times is not always an integer (a number that can be obtained using the other arithmetic operations on the natural numbers), which led to two different concepts.

The division with remainder or Euclidean division of two natural numbers provides a quotient, which is the number of times the second one is contained in the first one, and a remainder, which is the part of the first number that remains, when in the course of computing the quotient, no further full chunk of the size of the second number can be allocated.

For a modification of this division to yield only one single result, the natural numbers must be extended to rational numbers (the numbers that can be obtained by using arithmetic on natural numbers) or real numbers. In these enlarged number systems, division is the inverse operation to multiplication, that is a = c / b means a × b = c, as long as b is not zero. If b = 0, then this is a division by zero, which is not defined.[a]:246

Both forms of division appear in various algebraic structures, different ways of defining mathematical structure. Those in which a Euclidean division (with remainder) is defined are called Euclidean domains and include polynomial rings in one indeterminate (which define multiplication and addition over single-variabled formulas). Those in which a division (with a single result) by all nonzero elements is defined are called fields and division rings. In a ring the elements by which division is always possible are called the units (for example, 1 and –1 in the ring of integers). Another generalization of division to algebraic structures is the quotient group, in which the result of 'division' is a group rather than a number.

<h2>Simple Division</h2>

The simplest way of viewing division is in terms of quotition and partition: from the quotition perspective, 20 / 5 means the number of 5s that must be added to get 20. In terms of partition, 20 / 5 means the size of each of 5 parts into which a set of size 20 is divided. For example, 20 apples divide into five groups of four apples, meaning that twenty divided by five is equal to four. This is denoted as 20 / 5 = 4, or  20  /  5

= 4. What is being divided is called the dividend, which is divided by the divisor, and the result is called the quotient. In the example, 20 is the dividend, 5 is the divisor, and 4 is the quotient.

Unlike the other basic operations, when dividing natural numbers there is sometimes a remainder that will not go evenly into the dividend; for example, 10 / 3 leaves a remainder of 1, as 10 is not a multiple of 3. Sometimes this remainder is added to the quotient as a fractional part, so 10 / 3 is equal to 3 +  1  /  3

or 3.33..., but in the context of integer division, where numbers have no fractional part, the remainder is kept separately (exceptionally, discarded or rounded). When the remainder is kept as a fraction, it leads to a rational number. The set of all rational numbers is created by extending the integers with all possible results of divisions of integers.

Unlike multiplication and addition, division is not commutative, meaning that a / b is not always equal to b / a. Division is also not, in general, associative, meaning that when dividing multiple times, the order of division can change the result. For example, (20 / 5) / 2 = 2, but 20 / (5 / 2) = 8 (where the use of parentheses indicates that the operations inside parentheses are performed before the operations outside parentheses).

(~ ̄▽ ̄)~Hope this helps!

4 0
2 years ago
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