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2 years ago

The diagonals of a rhombus are 16 cm and 12cm. find its length

Mathematics

1 answer:

igomit [66]2 years ago

4 0

Answer:

l=10 cm

Step-by-step explanation:

In a rhombus, the diagonals are cut into identical lines at the intersection.

This way, I found the measures of the halves of the diagonals in a right triangle, knowing that the diagonals of the rhombus are perpendicular on each other.

I calculated that AO = AC/2= 8, and that BO=BD/2= 6, and then I applied pytagora's theorem in a quarter of the rhombus, which is the right triangle AOB, to find the length of a side

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Given x+2y=-6 solve for y

Varvara68 [4.7K]

You take the x and change it to the other side to leave y by itself and then divide by 2 = Y=-3-x

7 0

2 years ago

Read 2 more answers

Rob is saving to buy a new MP3 player. For every $11 he earns babysitting, he saves $6. On Saturday, Rob earned $44 babysitting.

Anon25 [30]

Answer:

Rob saved $24 on Saturday.

Step-by-step explanation:

Given:

Rob is saving to buy a new MP3 player.

Money earned in baby sitting = $11

Money saved =$6

First we will find the Percentage of amount he saved.

Percentage of amount he saved can calculated by Amount saved divided by total money earned and then multiplying by 100.

framing in equation form we get;

Percentage of amount he saved = $\frac{6}{11} \times 100 \approx 54.55\%$

Now Given:

Money earned in babysitting on Saturday = $44

We need to find the Money he saved on Saturday.

Money Saved can be calculated by Percentage of amount he saved multiplying by Money earned in babysitting on Saturday and then divided by 100.

framing in equation form we get;

Money Saved on Saturday = $\frac{54.55}{100}\times 44 = \$24$

Hence Rob saved $24 on Saturday.

8 0

2 years ago

Calvin had 30 minutes in time-out. For the first 23 1/3 minutes, Calvin counted spots on the ceiling. For the rest of the time,

scoundrel [369]

Answer: $\frac{20}{3}\ minutes$ or $6 \frac{2}{3}\ minutes$

Step-by-step explanation:

For this exercise you can convert the mixed number to an improper fraction:

1. Multiply the whole number part by the denominator of the fraction.

2. Add the product obtained and the numerator of the fraction (This will be the new numerator).

3. The denominator does not change.

Then:

$23\frac{1}{3}= \frac{(23*3)+1}{3}= \frac{70}{3}\ minutes$

You know that he had 30 minutes in time-out, he counted spots on the ceiling for $\frac{70}{3}$ minutes and the rest of the time he made faces at his stuffed tiger.