Answer:infinite
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6x−54=6(x−9)
6x+−54=(6)(x)+(6)(−9)(Distribute)
6x+−54=6x+−54
6x−54=6x−54
Step 2: Subtract 6x from both sides.
6x−54−6x=6x−54−6x
−54=−54
Step 3: Add 54 to both sides.
−54+54=−54+54
0=0
Answer:
Step-by-step explanation:
x+61/100
For each pair, look at where the orange bar is higher than the blue bar. This only happens on one day: Friday. The other days have the blue bar higher or the same height.
Answer: Choice D
Answer:
- sin(X) = 6/7.5
- XY = 4.5
- cos(X) = 4.5/7.5
- tan(X) = 6/4.5
Step-by-step explanation:
It is convenient to use the Pythagorean theorem to find XY to start with. That theorem tells you ...
XZ² = YZ² + XY²
Solving for XY, you find ...
XY² = XZ² - YZ²
XY = √(XZ² - YZ²) = √(7.5² -6²) = √(56.25 -36) = √20.25
XY = 4.5
The mnemonic SOH CAH TOA is very helpful here. It reminds you that ...
Sin = Opposite/Hypotenuse
sin(X) = 6/7.5
Cos = Adjacent/Hypotenuse
cos(X) = 4.5/7.5
Tan = Opposite/Adjacent
tan(X) = 6/4.5
_____
<em>Comment on the triangle and ratios</em>
The side lengths of this triangle are in the ratios ...
XY : YZ : XZ = 3 : 4 : 5
If you recognize that the given sides are in the ratio 4 : 5, this tells you that you have a "3-4-5" right triangle with a scale factor of 1.5. At least, you can find XY = 1.5·3 = 4.5 with no further trouble.
The trig ratios could be reduced to sin(X) = 4/5; cos(X) = 3/5; tan(X) = 4/3, but the wording "don't simplify" suggests you want the numbers shown on the diagram, not their reduced ratios.
Answer:
Step-by-step explanation:
Given
Shape: Rectangle
Division = 4 parts
Required
How much is one part of the division
Represent the rectangle with R and the parts with P
When a rectangle (R) is divided into 4 parts (P); the relationship between R and P is:
<em>This implies that the one part of the division is ¼ of the divided rectangle</em>
