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4 years ago

Please help me . Is the roped off area triangle ABC, a right triangle ?

Mathematics

2 answers:

pochemuha4 years ago

8 0

yes a right triangle is and angle that is a angle at 90 degrees. A quick method if you don't ha protractor to measure is to measure the angle on a piece of paper like a posted note or note card since all the angles are 90 on them then see if they match up.

Karo-lina-s [1.5K]4 years ago

6 0

Answer:

Yes

Step-by-step explanation:

It is a right angle because it is 90 degrees.

Also,you can tell its a right angle because the variables a, b, and c

represent the Pythagorean Theorem which is used for finding missing lengths of a right triangle.

I didnt see the part at the bottom but the explanation for that would be

50+40> 30 True 40 squared + 30 squared= 50 squared

50+30> 40 True or 1600+900=2500

40+30> 50 True 2500=2500

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Step-by-step explanation:

a. 3 1/7 b. 3 1/6 and c. 2

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3 years ago

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a country's population in 1992 was 169 million in 1999 it was 174 million estimate the population in 2010 using the exponential

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In 1992: t=0 and A=169 million
In 1999: t=7 and P= 174 million

Solve for k: blah blah blah

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3 years ago

How many solutions does this equation have?

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3 years ago

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Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,00

Tatiana [17]

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount after 't' years.

P is the principal amount

n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

Amount, A = $15000

Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

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3 years ago

Brainliest for the first solution

mr Goodwill [35]

Q1 Solution:

x = 3 or x = -1

Step-by-step explanation:

x²-2x-3 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -2 and their product -3. By trial and error the two numbers are found to be; -3 and 1. The next step is to split the middle term by substituting it with the above two numbers found;

x²+x-3x-3 = 0

x(x+1)-3(x+1) = 0

(x-3)(x+1) = 0

Finally we apply the zero Product Property :

If ab = 0 then a = 0 or b = 0

This implies;

x-3= 0 or x+1 = 0

x = 3 or x = -1 are the solutions to x²-2x-3 = 0

Q2 Solution:

x = -1/2 or x = 3

Step-by-step explanation:

2x²-5x-3 =0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -5 and their product 2(-3)=-6. By trial and error the two numbers are found to be; -6 and 1. The next step is to split the middle term by substituting it with the above two numbers found;

2x²-6x+x-3 = 0

2x(x-3)+1(x-3) = 0

(2x+1)(x-3) = 0

2x+1 = 0 or x-3 = 0

2x = -1 or x = 3

x = -1/2 or x = 3 are the solutions of the given quadratic equation.

Q3 Soution:

x = 4 or x = 3

Step-by-step explanation:

x²-7x = -12

x²-7x+12 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -7 and their product 12. By trial and error the two numbers are found to be; -4 and -3. The next step is to split the middle term by substituting it with the above two numbers found;

x²-4x-3x+12 = 0

x(x-4)-3(x-4) = 0

(x-4)(x-3) = 0

x-4 = 0 or x-3 = 0

x = 4 or x = 3 are the solutions of the given quadratic equation.

Q4:

x = -2/3 or x = 6

Step-by-step explanation:

3x² = 16x+12

3x²-16x-12 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -16 and their product 3(-12)= -36. By trial and error the two numbers are found to be; -18 and 2. The next step is to split the middle term by substituting it with the above two numbers found;

3x²-18x+2x-12 = 0

3x(x-6)+2(x-6) = 0

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3x+2 = 0 or x-6 =0

3x = -2 or x = 6

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Q5:

x = 6 or x = -4

Step-by-step explanation:

x²-2x-24 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -2 and their product -24. By trial and error the two numbers are found to be; -6 and 4. The next step is to split the middle term by substituting it with the above two numbers found;

x²-6x+4x-24 = 0

x(x-6)+4(x-6) = 0

(x-6)(x+4) = 0

x-6 = 0 or x+4 = 0

x = 6 or x = -4 are the solutions to the given quadratic equation.

Q6:

x = 4/3 or x = -1

Step-by-step explanation:

3x² = x+4

3x²-x-4 = 0

In order to solve the quadratic equation by factoring, we have to determine two numbers whose sum is -1 and their product -12. By trial and error the two numbers are found to be; -4 and 3. The next step is to split the middle term by substituting it with the above two numbers found;

3x²-4x+3x-4 = 0

x(3x-4)+1(3x-4) =0

(3x-4)(x+1) = 0

3x-4 =0 or x+1 =0

3x = 4 or x = -1

x = 4/3 or x = -1 are the solutions to the given quadratic equation.

5 0

3 years ago

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