Answer:
Step-by-step explanation:
If two ratios make a proportion then it can be shown as:
Let's verify the answer choices with this method
A. 1/4 and 5/25
- 1*25 = 4*5
- 25 = 20, incorrect, not a proportion
B. 1/4 and 7/24
- 1*24 = 4*7
- 24 = 28, incorrect, not a proportion
C. 1/4 and 10/48
- 1*48 = 4*10
- 48 = 40, incorrect, not a proportion
D. 1/4 and 9/36
- 1*36 = 4*9
- 36 = 36, correct, this is a proportion
The longest distance between corners inside his closet is 105.3 inches
$7200.. you would find out what 3.5% of $6000 (210) is and then multiply it by 6 (1200) and then add it to the original $6000
Answer:
B is the best answer
The question is illustrated with the attached figure.
Required
Determine XY
To solve for XY, we make use of the tan function, which states that:
tan\theta = \frac{Opposite}{Hypotenuse}tanθ=
Hypotenuse
Opposite
In this case:
tan\ 60= \frac{YZ}{XY}tan 60=
XY
YZ
Substitute 4 for YZ
tan\ 60= \frac{4}{XY}tan 60=
XY
4
Make XY the subject
XY= \frac{4}{tan\ 60}XY=
tan 60
4
tan\ 60 =\sqrt 3tan 60=
3
So, the expression becomes:
XY = \frac{4}{\sqrt 3}XY=
3
4
Rationalize:
XY = \frac{4 * \sqrt 3}{\sqrt 3 * \sqrt 3}XY=
3
∗
3
4∗
3
XY = \frac{4\sqrt 3}{3}XY=
3
4
3
