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3 years ago

In the accompanying diagram, isosceles triangle ABC has coordinates A(-4,0), B(4,0), C(0,4). Find the area of ABC.

Mathematics

1 answer:

kari74 [83]3 years ago

4 0

Answer:

The area of triangle ABC is $16\ units^{2}$

Step-by-step explanation:

we know that

The area of a triangle is equal to

$A=\frac{1}{2}(b)(h)$

In this problem we have

$b=AB=4-(-4)=8\ units$ ---> the length of the base b is the difference of the x-coordinates between A and B

$h=OC=4-0=4\ units$ ---> the height h is the difference of the y-coordinates between C and the origin O

substitute the values in the formula

$A=\frac{1}{2}(8)(4)$

$A=16\ units^{2}$

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The average weight of a basketball is 21 1/8 ounces.the average weight of a baseball is 5 2/8 ounces. How many more ounces does

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Answer:

26 3/8

Step-by-step explanation:

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3 years ago

A fishing boat with two people on it runs out of gas while out in a bay. The people set off an emergency flare from a height of

elixir [45]

Answer:

Step-by-step explanation:

time taken to reach the max height is expressed according to the projectile equation;

tmax = u/g

Given u = 30m/s

g is the acceleration due to gravity = 9.81

t = 30/9.81

t = 3.0secs

hence it will take the flare 3.06secs to reach its maximum height.

Max height = u²/2g

Max height = 30²/2(9.81)

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Max height = 45.87m

If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m

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3 years ago

Jacinta borrowed sh. 100,000 from her cooperative society. She pays 1% interest of the outstanding balance every month. If she p

vredina [299]

The amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

<h3>What is interest?</h3>

Interest is the finance charge that a borrowers incurs to service a loan.

Interest is based on the outstanding balance at the end of the payment period.

<h3>Data and Calculations:</h3>

Principal loan = sh. 100,000

Interest on outstanding balance = 1%

Monthly payment of principal and interest = sh. 10,000

Period of repayment = Monthly

<h3>Amortization Schedule:</h3>

Beginning Interest Payment Ending Balance

1st month sh. 100,000 sh. 1,000 sh. 10,000 sh. 91,000

2nd month sh. 91,000 sh. 910 sh. 10,000 sh. 81,910

3rd month sh. 81,910 sh.819 sh. 10,000 sh. 72,729

4th month sh. 72,729 sh. 727 sh. 10,000 sh. 63,456

5th month sh. 63,456 sh. 636 sh. 10,000 sh. 54,092

6th month sh. 54,092 sh. 541 sh. 10,000 sh. 44,633

7th month sh. 44,633 sh. 446 sh. 10,000 sh. 35,079

8th month sh. 35,079 sh. 351 sh. 10,000 sh. 25,430

9th month sh. 25,430 sh. 254 sh. 10,000 sh. 15,684

10th month sh. 15,684 sh. 157 sh. 10,000 sh. 5,841

11th month sh. 5,841 sh. 58 sh. 5,899 sh. 0

Total interest paid = sh. 5,899

Thus, based on the payment schedule above, the amount of money that Jacinta pays to service the whole loan as interest is <u>sh. 5,899</u>.

Learn more about loan interests at brainly.com/question/24576997

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8 0

2 years ago

Lucas ate a fraction of a pizza. Hugo ate 5/8 of the same pizza. Now there is 1/8 of the pizza left what fraction of pizza did L

MatroZZZ [7]

Answer:

$\frac{2}{8}$

Step-by-step explanation:

In order to solve this equation we will need to use what we know in order to find the answer.

$1=\frac{8}{8}$

$H=\frac{5}{8}$

$R = \frac{1}{8}$

If Huge ate 5/8's of the pizza and 8/8's creates a whole pizza then the question is quite simple. There is only 1/8's remaining after the boys finish their meal but 5/8's of the pizza was already eaten by Hugo meaning Lucas has to eat 2/8's of the pizza in order for there to be only 1/8's of the pizza left which means 2/8's is your answer.

Hope this helps.

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3 years ago

A stockbroker earns a commission by a flat fee for each transaction as well as a fee per share. On a particular transaction, the

loris [4]

Clearly, alternative B

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y = (0.01)*5000 + 7,5
y = 50 + 7.5
y = 57.50

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3 years ago

Read 2 more answers