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2 years ago

Which side lengths form a right triangle?

Mathematics

1 answer:

Masja [62]2 years ago

3 0

Answer: choice B

Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean

For answer choice A:

(root 2)^2 + (root 3)^2 = (root 4)^2

2 + 3 = 4

5 = 4

5 does not equal 4. Therefore it cannot be A.

For answer choice B:

(root 8)^2 + (3)^2 = (root 17)^2

8 + 9 = 17

17 = 17

this is true! therefore this is a right triangle and it’s B

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A 120-inch strip of metal 12 inches wide is to be made into a small open trough by bending up two sides on the long side, at rig

mezya [45]

Answer:

x= 3 inch should be turned up on each side

Step-by-step explanation:

Let the height of trough be x.

Width of trough be 12 - 2x.

and length of trough = 120 inch

Volume of trough, V = L×W×H = 120 × (12-2x) × x = 120x(12 - 2x)

For maximum volume, we find V' = 0

i.e 1440 -480x = 0

or x = $\frac{1440}{480}$

or x= 3

Hence x= 3 inch should be turned up on each side

3 0

3 years ago

April had

Bumek [7]

First thing First. You must find have a common denominator. If you want to find it then you do this

3: 3 6 9 12 15 18 21
7: 7 14 21 28

Once you found a number they have in common (21) You do this next

3/7 * 3/3 = 9/21
2/3 * 7/7 = 14/21

Now the next thing you do is subtract your numerators but not the denominators

14-9=5

5/12

you cant simplified so your done! Hope this helps!!!! <span />

3 0

3 years ago

Helpppppppppppppppppp meeeeeeeeeeeeeeeeeee

DanielleElmas [232]

The fraction computed shows that the cups of sugar that can be used based on the flour will be B. 4 1/2 cups.

<h3>How to calculate the fraction?</h3>

From the information, Jonah used 1 1/2 cups of brown sugar and 2 1/3 cups for flour.

Therefore, the cups of sugar needed will be:

= 1.5/2.33 × 7

= 4.5 = 4 1/2.

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

4 0

2 years ago

An office and apartment building is made up of modules. Each module is a rectangular prism. The building has 150 modules, and is

Elis [28]

Answer:

Part 1) 10 modules per floor

Part 2) Two different rectangular prism

Step-by-step explanation:

Part 1)

Let

x ----> the number of modules

y ---> the number of stories

we have

$x=150\ modules\\y=15\ stories$

Divide the number of modules by the number of stories

$\frac{x}{y}=\frac{150}{15}=10\ \frac{modules}{floor}$

Part 2) How many different rectangular prisms could be made from that number?

The number is 10

Look at the factors of 10

They are 1,2 ,4,5 and 10

Pick any two of these factors and determine if there is a third value from this list so that the product of the three factors is 10

There are 2 combinations that will work :

1 0×1×1

2 ×5×1

4 0

3 years ago

Select the point that is a solution to the system of inequalities

ExtremeBDS [4]

<h3>Answer: B. (-1, 0)</h3>

This point is below both the red diagonal line and the blue parabola. We know that the set of solution points is below both due to the "less than" parts of each inequality sign.

In contrast, a point like (2,2) is above the parabola which is why it is not a solution. It does not make the inequality $y \le x^2-3x$ true. So this is why we can rule choice A out.

Choice C is not a solution because (4,1) does not make $y \le -x+3$ true. This point is not below the red diagonal line. We can cross choice C off the list.

Choice D is similar to choice A, which is why we can rule it out as well.

5 0

3 years ago