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2 years ago

A triangle has side lengths of 6, 8, and 10. Is it a right triangle?

Mathematics

2 answers:

Katarina [22]2 years ago

6 0

Answer: Yes

Step-by-step explanation:

You can tell that two of the numbers are only 2 apart, hence CB and CA, and the other one, AB, or the bottom side, is way less.

Ilya [14]2 years ago

5 0

Answer:

YES IT IS

Step-by-step explanation:

For a triangle to be a right triangle, it must follow pythagorean theorem to find the hypotenuse (long side of triangle).

A squared + B squared = C squared

6 squared + 8 squared = 100

Since we squared our addends, we must find the square root of 100 (which is 10)

Since 10 is one of the side lengths for the hypotenuse since it is the longest, and we got 10 from pythagorean theorem, we know it is a right triangle.

Hope this helps you. Have a great rest of your day.

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X + y = 152, 8.5x + 12y = 1,656 How many hats were sold?

Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

$x+y = 152\\8.5x+12y=1656$

From equation 1:

$x = 152-y$

Putting the value of y in equation 2

$8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104$

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

$x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48$

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0

3 years ago

2u^2 + v when u=3 and v=7

Mariana [72]

Answer: 25

Step-by-step explanation:

There are two variables which is u and v and is given that u is 3 and v is 7 so input that into the expression and solve.

2(3)^2 + 7 Solve the exponent first

2(9) + 7 Now multiply then add

18 + 7 = 25

5 0

3 years ago

Find the value of this expression if x = -6. x^2-3/x+3 Enter the correct answer.

Amanda [17]

Answer:

$\frac{x^{2}-3}{x+3}=\frac{(-6)^{2}-3}{-6+3}\\\\=\frac{36-3}{-3}=\frac{33}{-3}=-11$

Step-by-step explanation:

6 0

3 years ago

What is the value of the expression? Y=6 z=2

slava [35]

The answer is 16 can u give me brainliest hehehe

4 0

3 years ago

Read 2 more answers

Solve the math problem

Nadusha1986 [10]

Answer:

Below!

Explanation:

Exponents are small numbers that defines how many times does the base needs to multiply itself. Two exponents can also be classified in words. 'Squared' defines a number multiplying itself two times. 'Cubed' defines a number multiplying itself three times. If there is a zero as the base's exponent, this means that the result will always be 1. Now, let's solve all the problems together.

2¹ = 2
3⁵ = 3 x 3 x 3 x 3 x 3 = 243
4³ = 4 x 4 x 4 = 64
6⁴ = 6 x 6 x 6 x 6 = 1256
7⁴ = 7 x 7 x 7 x 7 = 2401
1⁶ = 1 x 1 x 1 x 1 x 1 x 1 = 1
8² = 8 x 8 = 64
2³ = 2 x 2 x 2 = 8
4⁴ = 4 x 4 x 4 x 4 = 256
10³ = 10 x 10 x 10 = 1000
12² = 12 x 12 = 144
5⁴ = 5 x 5 x 5 x 5 = 625
6² = 6 x 6 = 36
3⁶ = 3 x 3 x 3 x 3 x 3 x 3 = 729
7³ = 7 x 7 x 7 = 343
2⁴ = 2 x 2 x 2 x 2 = 16
11⁰ = 1
4³ = 4 x 4 x 4 = 64
1¹² = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1

Hoped this helped!

4 0

2 years ago