Answer:
b and c
Step-by-step explanation:
so to answer this one we just plug in all of the answer choices to see which ones satisfy the inequality
for a we plug in b and get 5<8-3 or 5<5 which is not true so it cant be a
next we plug in 9, 5<9-3 or 5<6 so b is a correct answer
next we plug in 10, 5<10-3 or 5<7 which is correct so c is also a correct answer
hope this helps (:
Answer:
x = -1
Step-by-step explanation:
8 = 2^(x + 4)
Rewriting 8 as 2^3
2^3 = 2^(x + 4)
Since the bases are the same, the exponents must be the same
3 = x+4
Subtract 4 from each side
3-4 =x+4-4
-1 =x
It will take 17 men to assemble a machine
Answer:
Step-by-step explanation:
We can use Hypotenuse Theorem for this:
For triangle ABC,
AC²=CB²+BA²
9²=CB²+3²
Switch the sides
-CB²=3² -9²
-CB²= 9-81
-CB²= -72
the signs cut each other
CB²=72
the square changes sides
CB=√72
CB= 8.49 cm
Now triangle CBD
We have the length of CB but not the other two whereas we have the angle
It will be sin
As we know sin= O/H
Here O is CB whereas H is CD
Put the values
sin 50= 8.49/H
H= 8.49 ÷sin 50
Calculate
H=11.1 cm
As we know H is CD so CD is 11.1 cm
Hope it helps
Given:
Claire is 2 year younger than her sister.
The sum of ages is no less than 44 years.
To find:
Inequality and find the youngest age Claire can be.
Solution:
Let the age of Claire be x.
Her sister's age = x+2
Sum of their ages is no less than 44 years. It means the sum ages is greater than or equal to 44.
Divide both sides by 2.
It means, Claire age can be greater than or equal to 21. So, the youngest age Claire can be 21 years old.
Therefore, the required inequality is and the correct option is B.
