All categories

1 year ago

What is the area of the rhombus in simplest radical form? The figure is not drawn to scale.

Mathematics

1 answer:

Tanya [424]1 year ago

6 0

The area of the Rhombus is 162√3 sq.unit , Option A is the correct answer.

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

A rhombus is a polygon , which has four equal sides , its diagonal bisect each other at 90 degree.

Let x be the half of the other diagonal.

tan 60 = x / 9

x = 9 tan 60

x = 9√3

Area of the Rhombus = (d1 * d2 /2 )

d1 and d2 are the length of the diagonal.

Area of the Rhombus = (9*2)(2 *9√3)/2

Area of the Rhombus =162√3 sq.unit

To know more about Rhombus

brainly.com/question/27870968

#SPJ1

You might be interested in

For what value of x does 34x=27x-3

Anit [1.1K]

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

34x=27x−3

Step 1: Subtract 27x from both sides.

34x−27x=27x−3−27x

7x=−3

Step 2: Divide both sides by 7.

7x\7=−3\7

x=−3/7

8 0

3 years ago

In rectangle ABCD, AC = -x + 21, BP = -9x + 19, and DP = -y + 5. Find the value of y.

creativ13 [48]

Answer:

y=-5

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are equal and bisect each other

$BP=\frac{1}{2}AC$

$DP=BP$

step 1

Find the value of x

$BP=\frac{1}{2}AC$

substitute the given values

$(-9x+19)=\frac{1}{2} (-x+21)$

solve for x

Multiply by 2 both sides

$-18x+38=-x+21$

$18x-x=38-21\\17x=17\\x=1$

step 2

Find the value of y

$DP=BP$

we have

$BP=-9x+19$

$DP=-y+5$

substitute

$-y+5=-9x+19$

substitute the value of x

$-y+5=-9(1)+19\\-y+5=10\\y=5-10\\y=-5$

5 0

3 years ago

The average monthly rainfall for 6 months was 28.5 mm. If it had rained 1mm more each month what would the average have been? By

Fynjy0 [20]

Answer:

29.5 mm

Step-by-step explanation:

We are told that the average monthly rainfall for 6 months was 28.5 mm.

Thus, total for the 6 months = 28.5 × 6 = 171 mm

Now, we are told that it rained 1 mm extra each month.

So extra for the six months = 1 × 6 = 6mm

New total for 6 months = 171 + 6 = 177 mm

So, new average for 6 months = 177/6 = 29.5 mm

4 0

2 years ago

Lena has $1280 in her bank account and makes automatic $640 monthly payments on a cell phone bill. If she stops making deposits

Luda [366]

Answer:

account would be empty in 2 months

Step-by-step explanation:

6 0

2 years ago

If F(X) = -4X + 3, what is F(-2)

Setler79 [48]

Answer:

Step-by-step explanation:

When you plug in -2 for x you get -4(-2) +3

8 +3 = 11

F(-2)=11

Hope this helps, have a nice day

7 0

3 years ago

Read 2 more answers