All categories

3 years ago

14. Mrs. Drew wants to build a square sandbox

Mathematics

1 answer:

Sidana [21]3 years ago

6 0

Answer:

44 ft

Step-by-step explanation:

step 1

Find the length side of the square box

The area of the box is equal to

$A=b^{2}$

where

b is the length side of the square box

we have

$A=121\ ft^2$

substitute

$121=b^{2}$

solve for b

square root both sides

$b=11\ ft$

step 2

Find the perimeter of the square box

The perimeter of the square box is

$P=4b$

we have

$b=11\ ft$

substitute

$P=4(11)=44\ ft$

You might be interested in

If construction costs are $160,000 per kilometer, find the cost of building the new road in the figure

MAVERICK [17]

Answer:

$4,160,000

Step-by-step explanation:

First, find the length of the new road in km using Pythagorean Theorem.

According to Pythagorean Theorem:

c² = a² + b²,

Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.

Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.

1 km = 1,000 m

10,000 m = 10 km

24,000 m = 24 km

c² = 24² + 10²

c² = 576 + 100

c² = 676

c = √676

c = 26 km

Lenght of the new road = 26 km

If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000

7 0

3 years ago

Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.

vodka [1.7K]

For this case we have that by definition of trigonometric relations of a rectangular triangle, that the sine of an angle is given by the opposite leg to the angle on the hypotenuse of the triangle. While the tangent of the same angle is given by the leg opposite the angle on the leg adjacent to the angle.

Then, according to the figure we have:

$sin (B) = \frac {7} {25} = 0.28\\tg (B) = \frac {7} {24} = 0.2917$