I need help with #46!!!!

Answer:

Obtuse triangle sets

B. 5, 13, 19

C. 12, 14, 25

Step-by-step explanation:

The Pythagorean inequality for the sides of the triangle to be an obtuse:

[tex]a^2 + b^2 < c^2[/tex], where a, b and c are the sides of the triangle.

The other Pythagorean inequalities are:

[tex]a^2 + b^2 > c^2[/tex], for Acute triangle

[tex]a^2 + b^2 = c^2[/tex], for Right triangle

Now let's check which set of the given sets satisfy the above inequality.

Option A

4, 5, 6

Here a = 4, b = 5 and c = 6

[tex]4^2 + 5^2 < 6^2\\16 + 25 < 36\\41 < 36\\[/tex]

Which is not true.

Here [tex]a^2 + b^2 > c^2[/tex], So this is Acute triangle

Option B

5, 13, 19

Here a = 5, b = 13 and c = 19

[tex]5^2 + 13^2 < 19^2\\25 + 169 < 361\\194 < 361\\[/tex]

Which is true. This is Obtuse triangle

Option C

Here a = 12, b = 14 and c = 25

[tex]12^2 + 14^2 < 25^2\\144 + 196 < 625\\340 < 625\\[/tex]

Which is true. This is obtuse triangle.

Option D

Here a = 21, b = 72 and c = 75

[tex]21^2 + 72^2 < 75^2\\441 + 5184 < 5625\\5625 < 5625\\[/tex]

Which is not true for obtuse.

Here [tex]a^2 + b^2 = c^2[/tex], for Right triangle

So this is Right triangle.

Answer:

c

Step-by-step explanation:

just did it

6 inches is the answer
P= 2( L+W)

Answer: 6 inches

Step-by-step explanation:

Given: The perimeter of the rectangle = 40 inches

Let the unknown side be w.

And the bottom side l=14 in.

We know that the perimeter of rectangle is given by :-

[tex]\text{Perimeter}=2(l+w)\\\Rightarrow40=2(14+w)\\\Rightarrow\frac{40}{2}=14+w\\\\Rightarrow20=14+w\\\Rightarrow\ w=20-14)\\\Rightarrow w=6\ in.[/tex]

Hence, the  the length of w = 6 inches.

Answer:

The correct option is 4.

Step-by-step explanation:

It is given that Point Q is on the coordinate 24, R is on the coordinate 28, S is on the coordinate 29, T is on the coordinate 42.

Total numbers lie on line QT is

[tex]42-24=18[/tex]

The numbers lie on line ST is

[tex]42-29=13[/tex]

The probability that a point chosen at random on QT is on ST is

[tex]P=\frac{\text{The numbers lie on line ST}}{\text{Total numbers lie on line QT}}\times 100[/tex]

[tex]P=\frac{13}{18}}\times 100[/tex]

[tex]P=72.222\approx 72.2\%[/tex]

The probability that a point chosen at random on QT is on ST is 72.2%. Therefore option 4 is correct.

Answer:

2 + 9x, beacuse (17x - 8x) + 2 = 9x+2

Step-by-step explanation:

Combine like Terms: 17x - 8x + 2=

                                        9x+2

Answer:

(MAD) Mean Absolute Deviation: 3.28

Step-by-step explanation:

Mean: 4 + 5 + 8 + 10 + 15 = 42/5 = 8.4

8.4 - 4 = 4.4

8.4 - 5 = 3.4

8.4 - 8 = 0.4

8.4 - 10 = 1.6

8.4 - 15 = 6.6

Mean Absolute Deviation: 4.4 + 3.4 + 0.4 + 1.6 + 6.6 = 16.4/5 = 3.28

"Our proportionality constant would be how much the rope stretches versus the weight being hung.  This is set up by simply dividing the two numbers.  

9.6 inches / 8 pounds  

or for every pound hung, it will stretch 1.2 inches  so we know if it stretches 6 inches, we can set up an equation  6 inches = 1.2 [inches/pound] * pounds solve for weight  to get 5 pounds being hung from the rope."

Answer: 9.6 inches / 8 pounds  

Step-by-step explanation: I got it right

48-36 =12

60-48=12

 36/12 =3

48/12=4

60/12=5

 the maximum number of bowls is 12

Answer:

12

Step-by-step explanation:

30 = 3/5

 so 1/5 = 10 miles

there are 20/5 in 4 inches

 10*20 = 200

 they are 200 miles apart

Answer:

The answer is $3(0.50+1.00)

Step-by-step explanation:

Robert bought 3 pounds of bananas at $0.50 per pound which can be expressed as:

[tex]3*0.50[/tex]

And 3 pounds of apples at $1.00 per pound which can be expressed as:

[tex]3*1.00[/tex]

As Robert bought the apples and bananas, you can add both expressions:

[tex]3*0.50 + 3*1.00[/tex]

This expression can be factorized as:

[tex]3(0.50+1.00)[/tex]

or

[tex]3(1.50)[/tex]

Both expressions will give you the same result, which is $4.50.

Final answer:

The probability of selecting a heart or a face card from a standard deck of cards is approximately 42.31%, which is significantly higher than the probability of selecting just a heart suit face card, which is about 5.77%.

Explanation:

To calculate the probability of selecting a heart or a face card, we first need to count the number of favorable outcomes. There are 13 hearts in a deck of cards and 12 face cards (Jacks, Queens, and Kings, with 3 in each suit). However, there are overlap cards that are both hearts and face cards (Jack, Queen, King of Hearts), which amount to 3 cards. We must subtract these to avoid double counting. So, the formula to find the total number of favorable outcomes is:

Favorable outcomes = Total hearts + Total face cards - Overlap of hearts and face cards

Favorable outcomes = 13 (hearts) + 12 (face cards) - 3 (heart face cards) = 22

Next, we calculate the probability:

P(A) = Favorable outcomes / Total number of cards

P(A) = 22 / 52 ≈ 0.4231 or 42.31%

This is the probability of selecting a heart or a face card from a standard deck. Comparing this to the probability of selecting a heart suit face card (which is 3/52 or about 5.77%), it is clear that selecting a heart or a face card is much more likely.

Therefore, the probability of selecting either a heart or a face card is less than the probability of drawing only heart-suit face cards, since the number of favorable outcomes for the latter is smaller.

1 pound = 16 ounces

16 * 5.5 = 88 ounces per day

88*7 = 616 ounces per week

616 * 2 = 1232 ounces in 2 weeks