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lesantik [10]
3 years ago
14

Determine whether each set of side lengths could be the sides of a right triangle. Drag and drop each set of side lengths to the

correct box. 10.5cm,20.8cm,23.3cm
6cm, 22.9cm,20.1cm
Mathematics
1 answer:
Neko [114]3 years ago
7 0

Answer:

  • 10.5cm,20.8cm,23.3cm — yes
  • 6cm, 22.9cm,20.1cm — no

Step-by-step explanation:

If the sides form a right triangle, the sum of the squares of the shorter two sides will equal the square of the longest side.

1. 10.5^2 + 20.8^2 = 23.3^2 . . . . . true algebraic statement; right triangle

__

2. 6^2 +20.1^2 = 440.01 ≠ 22.9^2 = 524.41 . . . . . this is an obtuse triangle

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What is the distance between the points (2,6) and (5,8)? Round to the
lidiya [134]

The distance between given points is 3.6 units.

Step-by-step explanation:

Given points are;

(2,6) and (5,8)

Here;

x_1=2\\y_1=6\\x_2=5\\y_2=8

Distance between two points is calculated by;

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\Distance = \sqrt{(5-2)^2+(8-6)^2}\\\\Distance = \sqrt{(3)^2+(2)^2}\\\\Distance = \sqrt{(9+4)}\\\\Distance = \sqrt{13}\\\\Distance=3.6\ units

The distance between given points is 3.6 units.

Keywords: distance, points

Learn more about distance at:

  • brainly.com/question/101683
  • brainly.com/question/103144

#LearnwithBrainly

8 0
3 years ago
The quadratic function fx) has a vertex at (9, 8) and opens upward. If g(x) = 4(x-8)2 +9, which statement is true
Lady bird [3.3K]

Answer:

D. the minimum value of g(x) is greater than the minimum value of f(x)

Step-by-step explanation:

7 0
2 years ago
A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximat
lubasha [3.4K]

Answer:

about 38.48 square feet

6 0
3 years ago
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in
SashulF [63]

Answer:

The number of machines to complete job in 2 hours is 6.

Step-by-step explanation:

Using the relation of the rate of each one machine and knowing that adding up both rates.

  1. Rate R +Rate S= Rate total

Rate R = \frac{x}{36}  'x' is the job

Rate S = \frac{x}{18}  'x' is the job

So, using the equation of rates

        Rate total =\frac{x}{36} + \frac{x}{18}

Rate total is going to be a job in 2 hours so = \frac{1}{2}

\frac{1}{2} = \frac{x}{36}+\frac{x}{18} <em>adding up</em>

\frac{1}{2}= x*\frac{3}{36}  <em>factoring the x</em>

\frac{1}{2}= x*\frac{1}{12}  <em>simplifying</em>

x= \frac{12}{2} \\

x= 6

3 0
3 years ago
The product of 7 and j is 91.<br> Solve for j
blondinia [14]

Answer:

j=13

Step-by-step explanation:

The equation for this problem is 7j=91.

I would divide 7 on both sides, which would be j=13.

4 0
3 years ago
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