Answer:
9:1
Step-by-step explanation:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 72 and 8 is 8
Divide both terms by the GCF, 8:
72 ÷ 8 = 9
8 ÷ 8 = 1
The ratio 72 : 8 can be reduced to lowest terms by dividing both terms by the GCF = 8 :
72 : 8 = 9 : 1
Therefore:
72 : 8 = 9 : 1
The height of the parallelogram is 6.4 m.
<h3>What is a parallelogram?</h3>
A parallelogram is a quadrilateral. Let us recall that a quadrilateral is a four sided figure. It is also important to recall that the opposite sides of a parallelogram are equal.
Let us now try to find the height of the parallelogram;
Given that;
/DE/ = /AC/
10 = /BC/ + /AB/
/AB/ = 10 - /BC/
/AB/ = 10 - 6
/AB/ = 4 cm
Then;
/AE/= /CD/ = 5 cm
Using the Pythagoras theorem;
/EB/^2 = /AE/^2 + /AB/^2
/EB/ = √/AE/^2 + /AB/^2
/EB/ = √(5)^2 + (4)^2
/EB/ = √ 25 + 16
/EB/ = 6.4 m
Learn more about parallelogram:brainly.com/question/1563728
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Given that the diagram shows the location of John and Mark in relationship to the top of the building labeled A, then:
a]
∠4 is the angle of elevation as seen by Mark from his location. It is the angle between the horizontal and the line from the object to the observer's eyes.
b]
∠3 is the angle of depression and it is congruent to the angle 5, which is the angle of elevation as seen by John from his location.
Answer:
16,771.56 square feet.
Step-by-step explanation:
In order to get to the result we will need to use the scale and the numbers that are provided of the dimensions of the room.
The dimensions of the room on the floor plan are 17.8 inches by 21.2 inches. We first need to multiply these numbers with the scale:
17.8 x 80 = 1,424
21.2 x 80 = 1,696
Now that we got the real measures we need to multiply these two values in order to get to a result as in how many square inches is the room:
1,424 x 1696 = 2,425,104
Now we need to convert the square inches into square feet to get to the final result:
1 ft² = 144 in²
2,425,104 / 144 = 16,771.56
So we have a result of 16,771.56 square feet.
1 in equals 25.4mm exactly so
.25in(25.4mm/in)=6.35mm
