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2 years ago

Can 5, 2, 4 be the measures of the sides of a triangle?

Mathematics

1 answer:

Karolina [17]2 years ago

5 0

Answer: Yes

<u>Step-by-step explanation:</u>

In order to form a triangle, the sum of two sides must be GREATER than the third side.

a + b > c & a + c > b & b + c > a

5 + 2 > 4 & 5 + 4 > 2 & 4 + 2 > 6

True True True

The sides 5, 2, 4 satisfy the rules for forming a triangle.

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The high school band sold 500 tickets for a concert. The price of an adult ticket was $14.50, and the price of a student ticket

stira [4]

Answer:

14.5a + 9.5s = 5,860

a + s = 500

Step-by-step explanation:

4 0

2 years ago

Natalie is shopping for new clothes and does not want to spend more than $65. She buys one dress for $26 and wants to buy a few

omeli [17]

Answer:

D. x ≤ 3

Step-by-step explanation:

26 + 13x ≤ 65

13x ≤ 65-26

13x ≤ 39

13x ≤ 39 ÷13

x ≤ 3

6 0

3 years ago

AC = 16, AB = x + 1, and BC = x + 7. What is the measure of the length of AB? HELP

saveliy_v [14]

Answer:

Step-by-step explanation:

AC=AB+BC

so 16=x+1+x+7

which simplifies to 16=2x+8

subtract eight from both sides to get 8=2x

then divide by 2 to get that x=4

AB=x+1, which substitutes into 4+1=5

6 0

3 years ago

Can anyone explain how to do this?

Aliun [14]

<h3>Answer: 85 units ^2</h3>

Step-by-step explanation:

Using the equation $a^{2} + b^{2} = c^{2}$

so $a^{2} = 35$ and $b^{2} =50$

$a^{2} + b^{2} = 85^{2}$

5 0

3 years ago

Read 2 more answers

50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

Answer:

$51.72\text{ cells per hour}$

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

So, we are given that the quadratic curve of the trend is the function:

$P(t)=6.10t^2-9.28t+16.43$

To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

$P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]$

Differentiate. Use the power rule:

$P'(t)=6.10(2t)-9.28(1)$

Simplify:

$P'(t)=12.20t-9.28$

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

$P'(5)=12.20(5)-9.28$

Multiply:

$P'(5)=61-9.28$

Subtract:

$P'(5)=51.72$

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0

2 years ago