Answer:
Equilateral triangles are sometimes
acute triangles.
Scalene triangles are never
acute triangles.
Right triangles are never
acute triangles.
Obtuse triangles are always
isosceles triangles.
Write N as a product of powers of its prime factors.
N = 5^(10) × 2^(14) × 3
This is about prime factors
By definition, a prime factor is a factor of a number and that factor is also a prime number.
A prime number is one that is divisible by only itself and 1.
The number we have is; 480 × 10^(9)
Now, let's list the prime factors or 480 and they are;
2, 3, 5
Now, using these prime factors alone to get 480, we have;
5 × 3 × 2 × 2 × 2 × 2 × 2 = 480
In powers, gives;
5 × 3 × 2^(5)
Now,the 10^(9) with the 480 can also be expressed in terms of it's prime factors which are 2 and 5 as;
(5 × 2)^(9)
Expanding this gives; 5^(9) × 2^(9) = 10^(9)
Thus;
480 × 10^(9) = 5 × 3 × 2^(5) × 5^(9) × 2^(9)
This gives;
5^(10) × 2^(14) × 3
Read more at; brainly.com/question/4853862
Answer:
I got 5^10 x 2^14 x 3
Step-by-step explanation:
1. Do a tree to find 480 as a product of its prime factors
2. You should get 480= 5x2x3x2x2x2x2
3. 10 expressed as a product of its prime factors is 5x2
4. so 10^9 expressed as a product of its prime factors would be
5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2
5. You can then write out 480x10^9 as a product of its prime factors
5x2x3x2x2x2x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2
6. change this to use powers
5^10 x 2^14 x 3
Answer:
96
Step-by-step explanation:
3*6=18*2=36
6*10=60*2=120
10*3=30*2=60
36+60+120=
216
Answer: 216 m
Step-by-step explanation:
2(10 x 6) = 120
2(6 x 3) = 36
2(10 x 3) = 60
120 + 36 + 60 = 216
Answer: For number 8, x=6. For number 9, x=7. For number 10, x=15
Step-by-step explanation:
#8:
Angle 16x-6 corresponds to the 90 degree angle. Therefore, they are equal.
16x-6=90
Add six: 16x=96
Divide by 16: x=6
#9
Angle 12x-4 and angle 10x+10 correspond. Therefore, they are equal.
12x-4=10x+10
Subtract 10x: 2x-4=10
Add four: 2x=14
Divide by 2: x=7
#10
Angles 7x and 5x+30 are alternate exterior angles. Therefore, they are equal.
7x=5x+30
Subtract 5x: 2x=30
Divide by 2: x=15
The division sentence using negative numbers where the quotient represents the number of questions Fred answered incorrectly on the test is 20 ÷ (-1) = -20.
Let "x" represent the number of questions Fred answered incorrectly on the test.
Since he got a score of 80, then the equation:
Total Questions - Incorrectly Answered Questions = Score
100 - x = 80
To create a division sentence using negative numbers, express this equation in a different form:
x = 100 - 80
Now, subtract:
x = 20
So, a division sentence using negative numbers is:
20 ÷ (-1) = -20
This division sentence represents that Fred answered 20 questions incorrectly on the test.
Learn more about Integers here:
#SPJ3
Answer:
.
Step-by-step explanation:
Answer:
Step-by-step explanation:
as he said, 2, 3, 3, 3, 5
or, 3^3x2x5