<u>Answer</u>
39.8°
<u>Explanation</u>
To solve this we can use the trigonometric ratio tangent.
tan x = opposite / adjacent
= 10/12
= 0.8333...
x = tan⁻¹(0.8333..)
= 39.8°
-3 > n is the same as n < -3 after you flip both sides and flip the inequality.
To graph this, we place an open hole at -3 on the number line. Then we shade to the left to indicate all values smaller than -3. The open hole says "the endpoint is not included". This is because -3 is not smaller than itself.
We would have a filled in circle if we had "or equal to" as part of the inequality, but we don't.
The graph is shown below.
The percentile rank of a certain score is the score percentages in its frequency distribution that are equal to it or lower that it.
This means that:
<span>Nancy's percentile rank on a science test was 78. this means that Nancy equaled or surpassed 78% of all those who took the test.</span>
Answer:
4). The Washington Monument is 169.2-m tall.
Step-by-step explanation:
4). We know this because...
person 1.8 0.7
---------- = ----- = -------
Wash. x 65.8
We then know to cross-multiply to get:
1.8(65.8) = 0.7x
Which simplifies down to:
118.44 = 0.7x
x = 169.2
Answer:
5). The pond is 180ft wide.
Step-by-step explanation:
5). We know this because...
90 120
----- = -------
135 x
We then know to cross-multiply to get:
90x = 120(135)
Which simplifies down to:
90x = 16200
x = 180
Answer:
6). The height of the clock tower is 13ft 9in.
Step-by-step explanation:
6). We know this because...
person 5.5 4
---------- = -------- = -----
clock x 10
We then know to cross-multiply to get:
5.5(10) = 4x
Which simplifies down to:
55 = 4x
x = 13.75 (13 ft 9 in)
