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tamaranim1 [39]
3 years ago
13

Which set of side lengths could be used to make a triangle?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
3 0

Answer:

C. 22 cm, 8 cm, 27 cm

Step-by-step explanation:

In order to make a triangle with given side lengths, sum of any two side lengths must always be greater than the third side.

here,

22  + 8 = 30 > 27

8 + 27 = 35 > 22

27 + 22 = 49 > 8

Hence, C. 22 cm, 8 cm, 27 cm  is the correct option.

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Can someone help with this math word problem.
iragen [17]

Answer:

Step-by-step explanation:

Time taken to eat the pizza in seconds =28×60=1680 seconds

If it takes 20seconds to lift, bite and chew,

Then the total bites taken to finish the pizza =1680/20 =84 bites

If for each bite 9cm² disappeared, then area that disappeared for 84bites =84×9cm² = 756cm²

Total area of pizza =756cm²

If area =(πd²)/4,

Then d² =(4×A)/π

d²=4×756/3.14=963.06

d=√963.06 = 31.03cm

1 centimeter=0.394inches

31.03cm= 0.394×31.03=12.23 inches ≈ 12inches(to the nearest inch)

The diameter of the pizza is 12inches

7 0
3 years ago
The Nuthouse offers a mixture of soy nuts and almonds, Almonds
elena55 [62]

Answer:

  14 pounds

Step-by-step explanation:

The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.

<h3>Solution</h3>

  x = 20 -y . . . . . . . subtract y from the first equation

  7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation

  140 -1.5y = 119 . . . . . . . . simplify

  21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides

  14 = y . . . . . . . . . . . .divide by 1.5

14 pounds of soy nuts should be used in the mixture.

__

<em>Additional comment</em>

There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.

6 0
2 years ago
Which of the following is not equivalent to 1/25?
taurus [48]
 The answer is D. 5^-2 times 5^4.
3 0
3 years ago
I NEED THIS ASAP! ILL GIVE YOU BRAINLIST!
Artist 52 [7]
I believe $30 but i am not completely sure :)
5 0
3 years ago
Choose the model that represents the function
kirill [66]

Answer:

OPTION D

Step-by-step explanation:

We have to determine which option determines the function given above.

To determine the function, just substitute the values and compare LHS and RHS.

we have $ f(4) = 18 $

$ f(-2) = -12 $

$ f(0) = -2 $

$ f(-3) = -17 $

Here, $ x $ is the domain and $ f(x) $ is the co-doamin.

Therefore, $ x = \{4, -2, 0, -3\} $

Now, OPTION A: $ f(x) =  2x - 5 $

Substitute x = 4. We get f(x) = 3 $ \ne $ 18.

So, OPTION A is rejected.

Similarly, OPTION B: $ f(x) = 5x + 2 $

Substitute x = 4. We get f(4) = 22 $ \ne $18.

It is rejected as well.

Now, for OPTION C: $ f(x) = \frac{x}{2} - 5 $

Substitute x = 4. We get f(4) = -3 $ \ne $ 18.

So, OPTION C is also rejected.

OPTION D: $ f(x) =  5x - 2 $

Substitute x = 4. We get f(4) = 18.

Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.

8 0
3 years ago
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