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3 years ago

Segment BD is an altitude of triangle ABC. Find the area of the triangle.

Mathematics

2 answers:

inn [45]3 years ago

8 0

The answer is 7.5
Just count the squares and I did it so it is right.

hodyreva [135]3 years ago

3 0

Area = 1/2 * base * height
the height is BDand the base is AC
so its area = 1/2 * BD * AC

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Help me answer the question

Nastasia [14]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Revathi's age is 1/3 of her mother's age. If their difference in age is 24 years, find Revathi's age.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

Given,

Mother's age = x
Revathi's age = 1/3 x = ?
Difference in their age = 24 years ⇨ x - 1/3 x = 24.

Now, let's solve this question using the above equation which we just formed.

$\sf \: x - \frac{1}{3}x = 24 \\$

Combine x and $\sf\:-\frac{1}{3}x$ to get $\sf\frac{2}{3}x$ .

$\sf\frac{2}{3}x=24 \\$

Multiply both sides by $\sf\frac{3}{2}$ , the reciprocal of $\sf\frac{2}{3}$ .

$\sf \: x=24\times \left(\frac{3}{2}\right)$

Express $\sf24\times \left(\frac{3}{2}\right)$ as a single fraction.

$\sf \: x=\frac{24\times 3}{2} \\$

Multiply 24 and 3 to get 72.

$\sf \: x=\frac{72}{2} \\$

Divide 72 by 2 to get 36.

$\boxed{ \bf \: x=36 }$

We now have the age of Revathi's mother (x) = 36 years. Now, let's find Revathi's age ⇨ $\sf\:(\frac{1}{3}x)$

$\rightarrow \sf \: \frac{1}{3} x \\ \rightarrow \sf \: \frac{1}{3} \times 36 \\ \rightarrow \sf \: \frac{1}{ \bcancel 3} \times \bcancel{36} \\ \rightarrow \sf \:1 \times 12 \\ = \boxed{\boxed{\bf \: 12}}$

So, Revathi is 12 years old.

6 0

2 years ago

Read 2 more answers

Marina paid $2,000 for a tablet PC after receiving a 25 percent discount. What was the price of the tablet before the discount?

tensa zangetsu [6.8K]

The price of the tablet before the discount is $ 2667

<h3>Solution:</h3>

Given that Marina paid $2,000 for a tablet PC after receiving a 25 percent discount

To find: The price of the tablet before the discount

Let "a" be the price of the tablet before the discount or original price

After receiving a 25 percent discount means 25 percent discount in original price

Discount = 25 % of original price

Discount = 25 % of "a"

$\begin{array}{l}{\text {discount}=\frac{25}{100} \times a} \\\\ {\text {discount}=0.25 a}\end{array}$

Now we can say that,

price of tablet after discount = price of the tablet before the discount - discount

2000 = a - 0.25a

0.75a = 2000

a = 2666.67 ≈ 2667

Thus the price of the tablet before the discount is $ 2667

4 0

3 years ago

HELP ME

Alex777 [14]

Answer:

Trapezoid ABCD was reflected across the y-axis and then translated 7 units up.

6 0

3 years ago

A farmer planted 12/18 of his farm with pechay. how many thirds of the farm was planted with pechay

Ainat [17]

2/3 of the farmers land had been planted with pechay

3 0

2 years ago

A cheetah spots a gazelle 300 meters away. The cheetah begins to chase the gazelle at a rate of 18 meters per second at the same

Rina8888 [55]

The cheetah runs 2 meters/sec faster than the gazelle. Eventually the cheetah will overcome the gazelle. Since distance = rate times time, time = distance/rate.

Thus,

300 meters / (2 meters/sec) = 150 sec = 2 min 30 sec

8 0

3 years ago