The area of a kite is 116.25 ft2, one diagonal measures 18.6 ft, find the measure of the other diagonal.

Mathematics

1 answer:

Anna11 [10]2 years ago

7 0

Answer:

The answer is 12.5 feet

Step-by-step explanation:

A kite is in the shape of a Rhombus.

The surface of a Rhombus is calculated using the following formula:

$A=p*q/2$

A is the surface and we know it's 116.25 ft2

p is one diagonal and we know it's 18.6 ft

q is the diagonal we do not know

So, we get:

$116.25=18.6*q/2$

we can then calculate

$2*116.25=18.6*q$

that is:

$232.50=18.6*q$

therefore the other diagonal q is:

q=232.50/18.6

q=12.5

You might be interested in

Which expression is equivalent to 50 – 40 - 2?

Virty [35]

Answer: = 8

Step-by-step explanation: Hope this help :D

3 0

2 years ago

joseph has a new rectangular aquarium. the aquarium has a length of four feet, width of two feet and height of two feet. What is

Darina [25.2K]

12 inches go into one foot, so we can calculate the volume of the tank in inches to make the calculations that follow easier. Therefore, to calculate the volume of the tank, we use length x breadth x height = 4 x 2 x 2 = 16 square feet x 12 for square inches = 192 square inches.
Every 12 square inches Joseph can fit a one inch fish. The fish that he has are 3 inches long, therefore he can only fit one fish every 36 square inches.
That means that if we take the total volume of the tank and divide it by the space that a 3 inch fish will take up, we are left with 192/36 = 5.3 fish.
You cannot have a third of a fish, so we round off to the nearest whole number, and we determine that Joseph can put 5 fish in his new aquarium.

3 0

2 years ago

Fifteen percent of an employee's taxable income is collected each paycheck. Before taxes are removed from each paycheck,

aleksklad [387]

Answer:

y = x [1- $\frac{15}{100}$ ]

Step-by-step explanation:

If the variable x represents the employee's pay before tax-exempt expenses and taxes are removed and y variable represents the employee's take-home pay after these deductions and if fifteen percent of an employee's taxable income is collected each paycheck, then y is given by

y = x [1- $\frac{15}{100}$ ]. (Answer)

For, example, an employee's payment is deducted by $350 at the rate of 15% tax and other deduction.

Therefore, $\frac{15x}{100}=350$ , ⇒ x = $2333.33 is the before tax income of the person.