Answer:
B) 6.68
Step-by-step explanation:
Use Cosine.
Cosine= Adjacent ÷ Hypotenuse
In this case the base you want to find is adjacent to the angle, 42°. Hence,
Cos (42)= adjacent ÷ hypotenuse
Cos (42) = x ÷ 9
x = Cos (42) × 9. Input that into your calculator.
x= 6.68
To remember the trigonometric ratios/formulas
Use the acronym, SOHCAHTOA
Hope this helps!!!!
Answer:
Step-by-step explanation:
1. Corresponding Angles
<1 and <5
<2 and <6
<3 and <7
<4 and <8
They are equal in measure because corresponding angles are always equal to each other which means that they are congruent.
2. Alternate Interior Angles
<3 and <6
<4 and <5
They are always equal to each other because alternate interior angles are always congruent.
3. They are alternate exterior angles which means that the angles are always congruent.
4. <8 will be 73 degrees which is the same as <4 because they are corresponding angles and they are always congruent.
5. Angle 6 will be 107 degrees because they are alternate interior angles and they are always congruent.
Start by assigning a variable name to the "number" -- call it x.
Now write out what they say:
"The product of 1/3 and the sum of a number and 3" -- that's 1/3 times x + 3, or (1/3)(x + 3) or (x + 3) / 3
It's "between negative one and five"
So that means:
-1 < (x + 3) / 3 < 5
So now solve this inequality. First multiply everything by 3.
-3 < x + 3 < 15
Subtract 3 from all the terms:
-6 < x < 12
So the answer is, all numbers between -6 and 12
1: (pi)5^2 = 78.54 then multiply that by 11 and you get 863.94
2: (pi)13^2= 530.93 then multiply that by 8 and you get 47247.44
3. (pi)18^2= 1017.88 then multiply that by 22 and you get 22393.36
Answer:
x < 5
Step-by-step explanation:
What 5 > x means is that the variable x takes values less than 5, we can notice that because the narrow part of the symbol is pointing towards x, which means x is smaller than 5.
Analyzing the options:
- x> 5 this tells us that x takes values greater than 5, which in fact is the opposite of what we are looking for.
- 5 <x this also tells us that x takes values greater than 5, not what we are looking for.
- x < 5 this option does represent the same as 5 > x because in both the narrow part of the symbol points to x, indicating that x is smaller than 5, therefore this is the correct option
