Set the equation up as a proportion, where x = the height of the tree in feet
27/x = 4.5/5
cross multiply
(4.5)(x) = (27)(5)
(4.5)(x) = 135
divide the entire equation by 4.5 to isolate x
135/4.5 = 30
x = 30
the tree is 30 ft tall
Answer:
1.
Option d is correct
2.
Option c is correct
3.
Option a is correct
4.
Option d is correct
5.
Option c is correct
Explanation:
Using exponent rule:

1.
Given the expression:

Apply the exponent rules:

Therefore, the value of the given expression is,
.
2.
To find the value of the expression 
then;

Therefore, the value of the given expression is,
.
3.
Find the the value of the expression 
then;

Simplify:

Therefore, the value of the given expression is,
.
4.
Given the expression:

we can write this as:

Apply the exponent rules:

On comparing both sides we have;
K = 3
Therefore, the value of K is, 3
5.
Given the expression:

we can write this as:

Apply the exponent rules:

On comparing both sides we have;
N = 4
Therefore, the value of N is, -4
Answer:
Angles opposite one another that share a vertex are called <u>vertical</u> angles.
When one of these angles undergo a rigid transformation so that it fits exactly over the other, we know that the two angles are <u>congruent</u>
When two parallel lines are crossed by another line called the <u>transversal</u> the angles created inside the parallel lines but on opposite sides of the crossing lines are called <u>alternate</u> <u>interior</u> angles. Angles of this type have the same measurement as one another. Two figures are <u>similar</u> if one can fit exactly over the other after rigid transformations and dilations
Step-by-step explanation:
Vertically opposite angles are always equal (congruent)
The transversal line is the line that crosses two or more parallel lines
Alternate interior angles formed by two parallel lines crossed by a common transversal, are congruent
Two plane geometric figures are similar if they their corresponding interior angles are congruent
Here is the graph of x-y=4. According to this, the x intercept is (4,0), and the y intercept is (0,-4) :)
Answer:
21.6 liters
Step-by-step explanation:
40 drops make up a volume of 10 mL
Therefore, the volume of 1 drop of water = 10mL/40 = 1/4 mL= 0.25mL
Since the tap loses 1 drop of water in 1 sec, it loses 0.25mL of water in 1 second
60 seconds make up 1 second so volume of water lost in 1 minute = 0.25 x 60 = 15 mL
60 minutes make up 1 hour so volume of water lost in 1 hour = 15 x 60 = 900 mL
24 hours make up a day so volume of water lost in 1 day = 900 x 24 = 21,600 mL
Since 1000 mL make up 1 liter, divide by 1000 to get volume in liters
Volume of water lost in 1 day = 21600/1000 = 21.6 liters
Can be done as one equation
V lost in one day = 0.25 x 3600 x 24 mL = 21600 mL = 21.6 L