What is three-fourths times a square of a number<br><br> just write the equation

The sides of a rhombus with angle of 60° are 6 inches. Find the area of the rhombus.

ehidna [41]

1. Check the drawing of the rhombus ABCD in the picture attached.

2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.

3. The diagonals:
i) bisect the angles so m(ODC)=60°/2=30°

ii) are perpendicular to each other, so m(DOC)=90°

4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.

5. By the pythagorean theorem, $DO= \sqrt{ DC^{2}- OC^{2} }= \sqrt{ 6^{2}- 3^{2} }=\sqrt{ 36- 9 }=\sqrt{ 27 }= \sqrt{9*3}=$
$=\sqrt{9}* \sqrt{3} =3\sqrt{3} (in)$

6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4* $\frac{DO*OC}{2}=4 \frac{3 \sqrt{3} *3}{2}$ = $=2*9 \sqrt{3}=18 \sqrt{3}$ ( $in^{2}$ )

6 0

3 years ago

Vito has a fair 20-sided die with the faces

Hitman42 [59]

Answer:

15, C

Step-by-step explanation:

Any number is equally likely to appear. Therefore, we have 3/20 * 100 = 15. This is C.

Hope this helped!

~clouddragon

5 0

2 years ago

Which is a short-term consequence of making a late payment on your bill? it will be harder to buy a house because it affects you

iris [78.8K]

There will be a late fee added to the bill as a short-term consequence of making a late payment on your bill. Option B is correct.

<h3>What is the late payment?</h3>

A late payment is a payment sent to a lender or service provider after the due date or after the grace period for the payment has expired.

The consequence of making a late payment on your bill is;

A-it will be harder to buy a house because it affects your credit history.

B-here will be a late fee added to the bill

C-it will be harder to secure a new loan at a low rate

D- The bank will charge a fee for having a negative balance

All the given options are the consequence of making a late payment on your bill. But the options A, C, and D are the long-term consequences. While option B is a long-term consequence.

There will be a late fee added to the bill as a short-term consequence of making a late payment on your bill.

Hence option B is correct.

To learn more about the late payment refer to the link;

brainly.com/question/23509549

3 0

2 years ago

Read 2 more answers

Looking for someone who can take a look at this question for me:

In-s [12.5K]

There are
7 red balls
8 red balls
1 yellow ball
Hope this helps have a good day! :)

4 0

3 years ago

Iron Man Training While training for an iron man competition, Tony bikes for 60 miles and runs for 15 miles. If his bikes speed

ivolga24 [154]

Answer:

<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>

Step-by-step explanation:

How long did Tony speed on his bike?

Let s to be Tony's running speed, then 8s is Tony's biking speed

Let's recall that Time = Distance/Speed

Bike time + Running time = 5 hrs

Replacing with the real values, we have:

60/8s + 15/s = 5

8s as Lowest Common Denominator

60 + 8 * 15 = 5 * 8s

60 + 120 = 40s

-40s = -180

s = -180-40

s = 4.5 ⇒ 8s = 36

Tony run at 4.5 mph and biked at 36 mph

Now, we can calculate the time, this way:

Bike time = Bike distance/Bike speed

Replacing with the real values, we have:

Bike time = 60/36

Bike time = 5/3 (Dividing by 12)

5/3 hours * 60 = 100 minutes or 1 hour 40 minutes

Running time = 5 hours - 1 hour 40 minutes = 3 hours 20 minutes

<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>

4 0

3 years ago

What is three-fourths times a square of a number just write the equation