All categories

3 years ago

Complete the statement with <, >, or=. PLEASEE HELP

Mathematics

1 answer:

Allushta [10]3 years ago

6 0

Answer:

< LK

Step-by-step explanation:

The higher the angle, the bigger the opposite side, so since 123 is bigger than 114, LK is bigger than MN

You might be interested in

A bank security camera is mounted on a wall. The camera is set at an angle of depression of 19 degrees so that it is focused on

777dan777 [17]

Answer:

8.95feet

Step-by-step explanation:

The set up is a right angled triangle where;

The camera's horizontal distance from the focus point = 26feet = Adjacent;

The height of the camera above the floor = Opposite = x

Angle of elevation = 19°

According to TOA in trig identity;

Tan theta = opp/adj

Tan 19 = x/26

x = 26tan 19

x = 26(0.3443)

X = 8.95feet

Hence the camera is placed at a height of 8.95feet above the floor

7 0

3 years ago

You guys are Smart, Answer me this. But I need It fast-

miss Akunina [59]

Answer:

E = 58

F = 32

G = 90

Step-by-step explanation:

3x + 31 + 5x -13 + 90 = 180

3x + 31 + 5x -13 = 90

8x = 90 - 31 + 13

8x = 72

x = 72 / 8

x = 9

E = 3(9) + 31 = 27+31 = 58

F = 5(9)-13 = 45 - 13 = 32

G = 90

8 0

2 years ago

Suppose n(x)= 22 and n(y) is 13 what is the maximum number of elements X ∪Y can have ?

Nikolay [14]

The inclusion/exclusion principle states that

$|X\cup Y|=|X|+|Y|-|X\cap Y|$

That is, the union has as many members as the sum of the number of members of the individual sets, minus the number of elements contained in both sets (to avoid double-counting).

Therefore, $|X\cup Y|$ will have the most elements when the sets $X$ and $Y$ are disjoint, i.e. $X\cap Y=\emptyset$ , which would mean the most we can can in this case would be

$|X\cup Y|=|X|+|Y|=22+13=35$

(Note that $n(X)=|X|$ denotes the cardinality of the set $X$ .)

3 0

3 years ago

Find the total surface area of this cuboid

Harman [31]

Step-by-step explanation:

☄ $\underline{ \underline{ \sf{Given}}}:$