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madreJ [45]
2 years ago
15

Does 9, 13, 16 make a right triangle ​

Mathematics
1 answer:
iris [78.8K]2 years ago
5 0

Answer:

no it makes an acute angle

Step-by-step explanation:

9+13+16=38

to be a right triangle they need to equal 90

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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
10 months ago
A bird is at the top of a tree 8 meters tall. You are on the ground, 10 meters away from the bird. How far are you
Gwar [14]

Answer: 6 meters

Step-by-step explanation:

I had this question and got the answer right.

5 0
2 years ago
A over b is in parentheses with the exponent -4 on the outside then there's another set of parentheses and on the outside of tho
JulijaS [17]

Answer:

1

Step-by-step explanation:

(((a/b)^(-4))^0)=

((b/a)^4)^0)=

((b^4)/(a^4))^0=

1

(ANYTHING to the power of 0 is equal to 1)

7 0
3 years ago
Explain how to do this
Lera25 [3.4K]
Average of 2 numbers is 40
so total = 2 x 40 = 80

300 - 80 = 220

average of remaining 10 numbers = 220/10 = 22

answer
B) 22
6 0
3 years ago
A triangle has vertices X(2, 1), Y(5, 4), and Z(5, 1). What is the area of the triangle?
pochemuha

Answer:

Step-by-step explanation:

They gave you an easy triangle. You can tell by the coordinates that X and Z are horizontally aligned, and Y and Z are vertically aligned, so Z is a right angle.

Area = 0.5(XZ)(YZ) = 0.5(3)(3) = 4.5 square units.

3 0
3 years ago
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