Explain why it is important to know if a time is in the am or in pm when figuring out how much time has lapsed

In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an

Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

$BC^2=AC^2+AB^2$

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

$10^2=a^2+a^2$

$100=2a^2$

$\Rightarrow a^2=50$

$\Rightarrow a=\pm5\sqrt{2}$

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

$\frac{1}{2}\cdot BC\cdot AD$ (1)

$\Rightarrow \frac{1}{2}\cdot 10\cdot AD$

And other method of area of triangle is:

$\frac{1}{2}\cdot AB\cdot BC$ (2)

Equating (1) and (2) we get:

$\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a$

$\Rightarrow AD=\frac{a^2}{10}$

$\Rightarrow AD=\frac{50}{10}=5$

Using area of triangle is: $\frac{1}{2}\cdot BC\cdot AD$

Now, the area of triangle ABC= $\frac{1}{2}\cdot 5\cdot 10$

$\Rightarrow 25$

4 0

3 years ago

Samantha is making soup. to make the broth, she combines 2/5 cup of vegetable stock and 2/3 cup of chicken soup stock. Boiling

storchak [24]

First,you do,2/5+2/3,but since you will need a common denominator,you will find the least common denominator for 5 and 3.The LCD(Least Common Denominator) will be 15 since both 5 and 3 could go in 15.Now,the equation looks like this: 2/15+2/15 since whatever you do to the bottom numbers,you NEED to do to the top numbers:2 and 2.Now you will need to do,2x3,since 5x3=15 and the answer to 2x3=6 then you do 2x5,since 3x5=15 the answer is 10 now the equation looks like this:6/15+10/15 now you add them together,and the answer will be 16/15 and if you want the answer to be a mixed number,it would look like this: 1 1/15. Hope this helps!

6 0

3 years ago

Read 2 more answers

Colton earns $35 per lawn he mows. In kne day he mows four lawns and he works five days a week for 20 weeks a year. His expenses

yanalaym [24]

Answer:

1) Consider that he makes $1189 every two weeks engaged with work

2) An estimate of the opportunity cost of going on the fishing trip is $1450 in two weeks

3). If he decides to buy the truck, he has to work for about 7 weeks before going on the fishing trip

Step-by-step explanation:

From the given data

Total revenue from lawn mowing per year = 35 × 4× 5×20 = $1400

Similarly total operating costs = $2110

Total profit per annum = $11890

However total revenue per every 2 weeks = $1189

To buy the truck, sell his and go on the fishing trip it will cost = 5200-1500+250 =$3950 hence he has to work for about 6.64 or approximately 7 weeks before going on the fishing trip

2) Opportunity cost will factor in the cost of having someone work for him while away

The cost is = $250 + $120/day

Hence in two weeks it will cost him $1450

3) He has to work for about 7 weeks to be able to afford the truck

7 0

2 years ago

Will give brqinlist if correct

BARSIC [14]

Answer:

7 + 8x

Step-by-step explanation:

-11 + 2 (4x -1) + 6

=> -11 + 8x -2 + 6

=> -13 + 8x + 6

=> -7 + 8x

So, the simplified expression is 7 + 8x.

5 0

3 years ago

Answer the following question below.

kotykmax [81]

If I’m right I think the answer is 1,759.32

3 0

3 years ago