Ask question

Ask question

All categories

3 years ago

8

Linda contructs a triangle with one side 5 inches long and another side 7 inches long.Which is NOT a possible legth for the thir

d side? a)3 inches b)6 c)11 d)12

1 answer:

ladessa [460]3 years ago

8 0

D) 12 would NOT be a possible length for the third side because the sum of the 2 shorter legs should be greater than the longest leg.

You might be interested in

Find the slope of the line through each pair of points. <br> (19, −16), (−7, −15)

erik [133]

Point-Slope:

y+16=-1/26*(x-19)

Finding the regular slope:

m=1/-26=0.03846

7 0

3 years ago

Read 2 more answers

The population of a town increases by 4 % every year . In the last year the population of the town was 110000.

TEA [102]

Answer:

114,400 and 118,976.

Step-by-step explanation:

Let's represent this using a function. Let's let:

$P(y)$ represent the total population, and $y$ represent the total number of years since last year.

We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:

$P(y)=110000(1.04)^y$

Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.

Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)

$P(1)=110000(1.04)^1=114400$

The present population is 114,400 people.

For next year, set y equal to 2 (2 years after last year is next year)>

$P(2)=110000(1.04)^2=118976$

The population next year will be 118,976 people.

3 0

3 years ago

Please help with 1 and 2 :)

nordsb [41]

Answer:

1. The domain for the number of fruit cups is 0 minimum and 20 maximum.

[0 < x < 20].

2. [10 < y < 70]

Step-by-step explanation:

1. The domain is 0 to 20 because there are 20 people total who will each have a fruit cup

2. The range is $10 to $70 because the minimum price is $10 without any fruit cups and $70 when there are 20 fruit cups.

4 0

3 years ago

Solve for m 1/C+1/m=1/z

9966 [12]

Answer: " m = zC / (C − z) " .
___________________________________
Explanation:
_________________________
Given: 1/C + 1/m = 1/z ; Solve for "m".

Subtract "1/C" from each side of the equation:
____________________________________
1/C + 1/m − 1/C = 1/z − 1/C ;

to get: 1/m = 1/z − 1/C ;
____________________________________
Now, multiply the ENTIRE EQUATION (both sides); by "(mzC"); to get ride of the fractions:
_________________

mzC {1/m = 1/z − 1/C} ;

to get: zC = mC − mz ;

Factor out an "m" on the "right-hand side" of the equation:

zC = m(C − z) ; Divide EACH side of the equation by "(C − z)" ; to isolate "m" on one side of the equation;

zC / (C − z) = m(C − z) / m ; to get: 24/8 = 3 24

zC/ (C − z) = m ; ↔ m = zC/ (C − z) .
___________________________________________________

4 0

3 years ago

Use the side-splitter theorem to solve for x in the triangle below.<br> 21<br> 42

alexandr1967 [171]

x = 8

Solution:

Side-splitter theorem:

<em>If a line is parallel to one side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally.</em>

$$\Rightarrow\frac{4}{21} =\frac{x}{42}$

Do cross multiplication, we get

⇒ 4 × 42 = 21x

Divide by 21 on both sides, we get

⇒ 4 × 2 = x

⇒ 8 = x

Switch the sides.

⇒ x = 8

The value of x is 8.

8 0

3 years ago