Answer:
<h3>#1</h3>
- tangent = opposite leg / adjacent leg
- tan ∠F = DE/ EF
- tan ∠F = 24/7
<u>Option D</u>
<h3>#2</h3>
Sine and cosine are same for complementary angles.
- Complementary of 67° is 90° - 67° = 23°.
- sine 67° = cosine 23°
The final product is -24(2) which equals - 48.
Answer:
<u>The length of the longer segment of the 50 cm chord = 40</u>
Step-by-step explanation:
let the length of the longer segment of the 50 cm chord = x
so, the other segment = 50 - x
A chord of 50 cm bisects a chord of 40 cm
using the Intersecting Chords Theorem
so, x(50-x) = 20 * 20
50x - x² = 400
x² - 50x + 400 = 0
(x - 40)(x - 10) = 0
x = 40 or x = 10
<u>So, the the length of the longer segment of the 50 cm chord = 40</u>
Answer:
Interquartile range = 40
Step-by-step explanation:
interquartile range = Q3-Q1
It has 7 numbers, in order to make it even we remove the middle number (70) to make two sets of quartiles
Q1 = 50 (middle of the lower quartile)
Q3= 90 (middle of the higher quartile)