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mixer [17]
4 years ago
7

Ben is 20 years older than daniel. ben and daniel first met two years ago. three years ago, ben was 3 times as old as daniel. ho

w old is ben now?
Mathematics
1 answer:
Semmy [17]4 years ago
5 0
I hope this helps you


Ben x+20


Daniel x


3 years ago


Ben x+20-3=x+17


Daniel x-3


3 (x-3)= x+17


3x-9=x+17


2x=26


x=13


today Ben x+20=13+20=33
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F(x) = 5x^3 – 4x - 12
erik [133]

Answer: -12

Step-by-step explanation:

7 0
3 years ago
A rectangle with vertices L(3, –1), M(3, –8), N(8, –8), and O(8, –1) is reflected over the y-axis.
Katen [24]

i dont know if you can see it

7 0
3 years ago
What are the exact values of sin(2π3radians) and cos(2π3radians)
topjm [15]
We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°

Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2

the answer part a) is
sin(2π/3)=√3/2

Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2

the answer part b) is
cos (2π/3)=-1/2


4 0
3 years ago
Which is a true conclusion based on the Venn diagram? If a number is prime, it is also odd. If a number is odd, it is also prime
krek1111 [17]

Answer:

If a number is prime, it may or may not be odd.

Step-by-step explanation:

The prime numbers are all natural numbers greater than 1, which are only divisible between themselves and between 1. For example: 2, 3, 5, 7, 11 ...

A Venn diagram is shown in the attached figure

There you can see that not all even numbers are primes for example, 4 is an even number, but it is not a prime number. Then, not all odd numbers are prime numbers, for example 9 is an odd number, but it is not a prime number.

Neither all prime numbers are odd, for example the number 2 is a prime number and it is not odd.

Notice in the attached Venn diagram that the set of prime numbers contains even numbers and also odd numbers.

Therefore, the correct statement is the last option:

If a number is prime, it may or may not be odd.


7 0
3 years ago
Help please thank you!
Naily [24]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
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