What are the steps to solve this numerical expression

Mathematics

1 answer:

OleMash [197]2 years ago

5 0

You use photomath for this

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The perimeter of a parallelogram is 180 cm. One side exceeds the other by 10 cm. What are the lengths of adjacent sides of the p

torisob [31]

The lengths of adjacent sides of the parallelogram are 40 cm and 50 cm.

<h3>What is a parallelogram?</h3>

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

Now, suppose a and be are two sides of parallelogram

Then, Perimeter P = 2( a+ b)

Now, it is given that perimeter of a parallelogram is 180 cm.

⇒ 2( a+ b) = 180

⇒ a + b = 90

It is also given that one side exceeds the other by 10 cm.

⇒ a = b + 10

Putting the value of a in above equation we get,

b + 10 + b = 90

⇒ 2b = 90 - 10

⇒ 2b = 80

⇒ b = 40 cm

Similarly, a = b + 10

⇒ a = 40 + 10

⇒ a = 50 cm

Hence, the required sides of parallelogram are 40cm and 50cm.

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1 year ago

An engineer needs to determine the distance across a river without swimming to the other side. The engineer notices a tree on th

nasty-shy [4]

Answer:

Step-by-step explanation:

The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.

Tan θ = $\frac{opposite}{adjacent}$

= $\frac{x}{d}$

the the distance, d = x ÷ Tan θ

Assume the angle of elevation of the top of the tree is $30^{o}$ , and the height of the tree is 10 m, then the distance, d, across the river would be;