Answer:
120
Step-by-step explanation:
the formula of a box is L x W x H
so since the length is 6 and the width is 4 and the height is 5 you multiply
6x4x5=120
Answer: 15.44 m
Step-by-step explanation:
We can think this as two triangle rectangles.
In both cases, the adjacent cathetus is 120m.
When the angle is 32°, the opposite cathetus will be the height of the cliff.
When the angle is 37°, the opposite cathetus will be the heigth of the cliff plus the height of the flagpole.
Then we need to compute both of them and calculate the difference.
We can use the trigonometric relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
in this case we have:
Tan(32°) = (height of the cliff)/(120m)
Tan(32°)*120m = height of the cliff = 74.98m
Now we can use the other angle to compute:
Tan(37°) = (heigth of the cliff + heigth of the flagpole)/120m
Tan(37°)*120m = heigth of the cliff + heigth of the flagpole = 90.42m
Then the height of the flagpole will be:
H = 90.42m - 74.98m = 15.44 m
Given:
To prove:
Solution:
In triangle AED,
Two sides of triangle AED are equal, it means triangle AED is an isosceles triangle. The base angles of an isosceles triangle are equal. So,
In triangle ABE and triangle DCE,
(Given)
(Base angles of an isosceles triangle are equal)
(Given)
Two corresponding sides and their included angles are congruent. So, triangles are congruent by SAS postulate of congruence.
(By SAS postulate of congruence)
Hence proved.
Answer:
the first graph
Step-by-step explanation:
Answer: t = 5
Step-by-step explanation: step one cross multiply 4/t = 2/2.5
(4) * (2.5) = 2 * t so 10 = 2t / step two flip the equation 2t = 10
step three divide both sides by two 2t/2 = 10/2 t = 5
