MATHEMATICS HIGH SCHOOL

Diagonals AC and BD of a rhombus ABCD meet at O . If AC=8cm and BD=6cm , find sin √OCD.

Answers

Answer 1

Answer:

Answer:

Hi,

Step-by-step explanation:

AC=8 => AO=OC=AC/2=4

BD=6 => BO=OD=3

$sin(\widehat{OCD})\n\n=(OD)/(√(OD^2+OC^2))\n\n=(3)/(√(3^2+4^2) )\n\n\n=\boxed{(3)/(5)}$

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A school has $ 15,000 to spend on computer monitors the school plans to purchase 200 monitors for $89 each a teacher completes the calculations below and concludes that the has enough money to buy the monitors 200 times 89 = 200 times 8 + 200 times 9 = 1,600 +1,800 =3,400

Which decimal number is equivalent to 6/25?
A.0.6
B.0.12
C.0.06
D.0.24

Answers

D if you take 6/25 = 24/100 then change to a decimal and get 0.24

On a shopping trip, Peter spent 1/3 of his money for a jacket and another $5 for a hat. If peter still had 1/2 of his money left, how much money did he have originally ??a) $18, b) $24, c) $30, d) $48, e) $60

Answers

(a) 18
18 / 3 = 6
6 + 5 = 11
18 - 11 = 7
18 / 2 = 9
$7 \neq 9$

(b) 24
24 / 3 = 8
8 + 5 = 13
24 - 13 = 11
24 / 2 = 12
$11 \neq 12$

(c) 30
30 / 3 = 10
10 + 5 = 15
30 - 15 = 15
30 / 2 = 15
$15 = 15$

(d) 48
48 / 3 = 16
16 + 5 = 21
48 - 21 = 27
48 / 2 = 24
$27\neq 24$

(e) 60
60 / 3 = 20
20 + 5 = 25
60 - 25 = 35
60 / 2 = 30
$35 \neq 30$

Answer: (c) $30

Solve
1/2x+5=15
Help please

Answers

Hello! :)

1/2x + 5 = 15

1/5x + 5 - 5 = 15 - 5 Subtract 5 from both sides

1/2x = 10

2 * (1/2x) = (2) * (10) Multiply both of the sides by 2

x = 20

Hope this answer helped you!

THEDIPER

Answer:

x = 20

Step-by-step explanation:

1/2 x 20/1 = 20/2 = 10

10 + 5 = 15

Hope this helps.

give two examples of items that weigh less than 1 ounce and two examples of items that weigh more than 1 ton

Answers

under an ounce- paper, feather
more than a ton- Elephant, car

Which measurement is most accurate to describe the weight of a quarter?630 g
63 mg
6.3 g
0.63 kg

Answers

Answer: 6.3 g

Step-by-step explanation:

First, we need to put every mesure into the same unit. Let's put all into grams.

- kg would be too heavy for a quarter (consider that we use kg to weight people, for example)

- mg is too light (consider that we use mg to weight pills, for example)

We know that

1 kg = 1000 g

1 g = 1000 mg

630 g = 630 g

63 mg = 63/1000 = 0.063 g

6.3 g = 6.3 g

0.63 kg = 0.63*1000 = 630 g

The most suitable answer for a quarter is 6.3g, because 630 g would be too heavy and 0.063 g would be too light.

63 mg it is the smallest measurement listed.

Which r-value represents the strongest correlation?–0.83
–0.67
0.48
0.79

Answers

The r-value that represents the strongest correlation is (a) - 0.83

How to determine the strongest correlation?

The correlation coefficient has its value to be from -1 to 1

The closer the value to 1 or -1, the stronger the correlation

-0.83 is closer to -1 than the other values closer to 1 or -1

Hence, the r-value that represents the strongest correlation is (a) - 0.83