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inn [45]
3 years ago
12

Could 14 inches, 13 inches, and 16 inches be the dimension of a triangle? Explain your answer.

Mathematics
1 answer:
marishachu [46]3 years ago
8 0
Yes,  because the sum of any 2 sides of the triangle is greater than the value of the third side.
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Can someone help me please please please
marissa [1.9K]
Use the Pythagorean theorem a^{2} + b^{2} = c^{2} to find the missing side length of a right triangle 

In this case, after you plug in the given numbers your equation is 12^{2} +  y^{2}  =  20^{2}

Then, Just solve that equation for y.

144 +  y^{2} = 400

x^{2} = 256

\sqrt{} y^{2}  =  \sqrt{256}

y = 16

So the answer is B, 16 cm.

I hope this helps, please feel free to ask questions if you're still confused :)
7 0
3 years ago
Raven is making pillows. Each pillow requires 3/5 yard of fabric. Raven has 6 yards of fabric. Use the number line to find 6 ÷ 3
katen-ka-za [31]

Answer:

6 divided by 3/5 is 10

Step-by-step explanation:

I don't know how to do the number line, sorry.

6 0
3 years ago
Write a differential equation that models the given situation. The stated rate of change is with respect to time t. (Use k for t
Alex787 [66]

The differential equation that models the given situation will be dy/dt = K(N - y).

<h3>How to compute the equation?</h3>

Let y = number of individuals who have heard about the product.

Let N - y = this who haven't heard about the product.

From the given statement, the rate for change will be t = dy/dt. Therefore, the differential equation that models the given situation will be dy/dt = K(N - y).

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

3 0
1 year ago
Question 2
prisoha [69]

Answer:

Please check the explanation.

Step-by-step explanation:

<u>Calculating the area of the outer rectangle:</u>

Given

  • The length outer rectangle = l = 3x - 1
  • The width of outer rectangle = w = 5x + 2

Thus,

The area of the outer rectangle:

A = wl

    = (5x + 2) (3x - 1)

    =5x\cdot \:3x+5x\left(-1\right)+2\cdot \:3x+2\left(-1\right)

     =5\cdot \:3xx-5\cdot \:1\cdot \:x+2\cdot \:3x-2\cdot \:1

      =15x^2+x-2

<u>Calculating the area of the inner rectangle:</u>

Given

  • The length inner rectangle = l = x + 7
  • The width of inner rectangle = w = x

Thus,

The area of the outer rectangle:

A = wl

   = x(x+7)

   = x² + 7

<u>Calculating the area of the shaded region:</u>

As

The area of the outer rectangle = 15x² + x - 2

The area of the inner rectangle = x² + 7

  • The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.

Thus,

shaded region Area = Outer Rectangle Area - Inner Rectangle Area

                                  = 15x² + x - 2 - (x² + 7)

                                   =  15x² + x - 2 - x² - 7

                                   = 14x² + x - 9

Therefore, the Area of the shaded region is: 14x² + x - 9

4 0
2 years ago
In a certain exam of grade ten, 75% students got high score in mathematics, 65%
faltersainse [42]

(i) The percentage of students who got high scores in both the subjects English and Mathematics is 46%.

(ii) The total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam exists 138.

<h3>What is probability?</h3>

The probability exists in the analysis of the possibilities of happening of an outcome, which exists acquired by the ratio between favorable cases and possible cases.

The number of students who got high scores in Mathematics was 75%.

The number of students who got high scores in English was 65%.

(i) The percentage of students who got high scores in both the subjects

100% - 6% = 94%

(75% + 65%) - 94%

= 140% - 94%

= 46%

Therefore, the percentage of students who got high scores in both the subjects English and Mathematics is 46%.

(ii) The total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam

= 300 * 46%

= 300 * (46 / 100)

= 300 * 0.46

= 138.

Therefore, the total number of students who got high scores either in Mathematics or in English if 300 students had attended the exam exists 138.

To learn more about probability refer to:

brainly.com/question/13604758

#SPJ9

6 0
1 year ago
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