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3 years ago

Work out the area of triangle ABC. B. 25 cm A 32 cm D 2 cm

Mathematics

1 answer:

Law Incorporation [45]3 years ago

7 0

Answer:

Step-by-step explanation:

ΔADB is a right angled triangle. So, use Pythagorean theorem.

Altitude² = hypotenuse² - base²

= (2√5)² - (3√2)²

= 2²* (√5)² - 3²*(√2)² = 4*5 - 9*2 = 20 - 18 = 2

Altitude = √2

Base of ΔABC = 3√2 + √2 = 4√2 cm

Area = $\dfrac{1}{2}bh$

$= \dfrac{1}{2}*4\sqrt{2}*\sqrt{2}\\\\\\=\dfrac{1}{2}*4*\sqrt{2*2}\\\\\\=\dfrac{1}{2}*4*2\\\\= 4 cm^{2}$

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one-third of the people from country A claim that they are from country B, and the rest admit they are from country A. One-fourt

In-s [12.5K]

Answer: 3 : 2

Step-by-step explanation:

Let A represents the total population of country A and B represents the total population of country B.

According to the question,

$\text{The population of country A that admit they are from B} = \frac{1}{3}\text{ of }A$

⇒ $\text{ The population of A that admit they are from country A }= A - \frac{1}{3} \text{ of } A$

$= \frac{3-1}{3} A$

$= \frac{2}{3} A$

$\text{The population of country B that admit they are from A} = \frac{1}{4}\text{ of }B$

⇒ $\text{ The total population that claims that they are from A }= \frac{2}{3} A +\frac{1}{4} B$

But, Again according to the question,

The total population that claims that they are from A = one half of the total population of A and B.

⇒ $\frac{2}{3} A + \frac{1}{4} B= \frac{1}{2}(A+B)$

⇒ $\frac{2}{3} A + \frac{1}{4} B= \frac{1}{2}A+\frac{1}{2}B$

⇒ $\frac{2}{3} A - \frac{1}{2}A= \frac{1}{2}B-\frac{1}{4} B$

⇒ $\frac{4}{6} A - \frac{3}{6}A= \frac{2}{4}B-\frac{1}{4} B$

⇒ $\frac{1}{6} A = \frac{1}{4} B$

⇒ $A =\frac{6}{4}B$

⇒ $\frac{A}{B} =\frac{3}{2}$

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4 years ago

Find the length of the missing side if necessary round to the nearest tenth

ivanzaharov [21]

Using pythagoras theorem,

a^2 + b^2 =c^2

11^2 + 11^2 = c^2

c^2=242

c= $\sqrt{242}$

c= 15.556

c=15.6

7 0

3 years ago

Read 2 more answers

What will the finance charge be on Hannah's computer purchase? (Do not include<br> sales tax)

k0ka [10]

Answer:

She would be paying $2,622 total.

Step-by-step explanation:

1. To get how much she'd be paying for 24 months, all you have to do is multiply 24 times 95.

2. To get the down payment you had to ask yourself what's 15% of 2,280. 15% of 2280 is 342.

3. Add those together and you'd get the total payment.

Simple.

Oh and gimme Brainliest if it's correct.

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3 years ago

Valerie earns $24 per hour.Which expression can

Ksju [112]

I'm not really sure on this one, but I'd say it's B.

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3 years ago

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Tomtit [17]

2u = <-2, 4>

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3 years ago