1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
damaskus [11]
3 years ago
11

Let m be the side length of the fourth smallest possible square with integer value of its area, and let n be the sum of all prim

e numbers less than 10. Find MN(N-M).
Mathematics
1 answer:
Natali [406]3 years ago
6 0

Answer:

510

Step-by-step explanation:

It's assumed 0 is not an integer.

M is obviously 2. The area of a square is the square of its side length. If this area must be an integer, then it must be the fourth integer, which is 4. The side length, M=\sqrt{4} = 2

A prime number is a positive integer which can be divided exactly by only itself and 1. In fact, it has only those two factors. The last statement excludes 1 as a prime number. Hence, the prime numbers less than 10 are 2, 3, 5 and 7. Their sum is N=2+3+5+7=17.

To evaluate MN(N-M),

2\times17(17-2)=34\times15=510

You might be interested in
A.3(f) The line graphed on the grid represents the first of two equations in a system of linear equations.
Aneli [31]
I don’t any idea for this
6 0
3 years ago
6 2/3 times 2 plus 3 1/5 times 2
kramer

Answer:

19\frac{11}{15}

Step-by-step explanation:

We have the problem:

6\frac{2}{3} *2+3\frac{1}{5} *2

6 2/3 can be written as (6 + 2/3), and 3 1/5 can be written as (3 + 1/5). So, we can then use the distributive property:

(6+2/3)*2+(3+1/5)*2=12+4/3+6+2/5=18+4/3+2/5

Now, we need to combine the fractions by finding a common denominator. Here, the common denominator is 3 * 5 = 15: 4/3 +2/5=20/15+6/15=26/15=1\frac{11}{15}

Finally, we add 18 to 1 11/15: 18+1\frac{11}{15} =19\frac{11}{15}

Thus, the answer is 19\frac{11}{15}.

Hope this helps!

8 0
3 years ago
Read 2 more answers
What is the surface area of the regular pyramid given below?
Aliun [14]

Answer:

The surface area of the pyramid is 208 units²

Step-by-step explanation:

Luckily, since this is a square pyramid, we only need to find two numbers. These two numbers are the area of the base and the area of one triangular side. After we find them, we need to add them all together.

First, the base:

Since it's a square, we can just do 8 · 8 and get 64. Now we have one of the two needed numbers.

Second, one of the triangles:

To start, we multiply the base (8) by the height (9) giving us 72. After we divide that by 2, we have the area of the triangle, which is 36. Now we have the second number down. Now we can...

Finally, add them all together:

Now that we have the area of the base (64) and one of our triangles (36), we need to add them together. We add the base once and the triangle four times (because there are four triangles) to get the total surface area. Our expression looks like this:

64 + 36 + 36 + 36 + 36

After doing some simplifying, we get our final number, 208.

The surface area of the pyramid is 208 units²

4 0
4 years ago
Read 2 more answers
Which number is a factor of 12, but not a multiple of 3
beks73 [17]
There are 3 numbers, first let list all the factors of 12, 1,2,3,4,6,12 and now which are multiple of 3, 3, 6,12 therefore we are left with 1,2,4!
6 0
3 years ago
BRAINLIEST!50 POINTS!!RIGHT ANSWERS ONLY!!
Otrada [13]
N a o m i i s i n c o r r e c t.
4 0
3 years ago
Other questions:
  • The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds ca
    9·2 answers
  • Help please this is due tomorrow.. its also test prep
    15·2 answers
  • Given g(x) =<br>√x-4<br>and<br>h(x) = 2x-8.<br>What are the restrictions on the domain of goh?​
    7·2 answers
  • Which of following is a key element in the proof of the law of cosines
    14·1 answer
  • What 58+98 need help
    5·2 answers
  • Somebody i need help please help me don't make brainly useless
    6·1 answer
  • The double number lines show the ratio of cups to gallons
    8·1 answer
  • -550/100 ÷ 14/7<br> Please and thank you ​
    6·1 answer
  • Khan academy anyone can help me plz on this
    10·1 answer
  • 4x&lt;-2 como se desarrolla esta desigualdad
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!