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3 years ago

Which of the following could NOT be the lengths of the sides of a triangle?

Mathematics

1 answer:

Furkat [3]3 years ago

8 0

Given:

Sides of triangles in the options.

To find:

Which could NOT be the lengths of the sides of a triangle.

Solution:

Condition for triangle:

Sum of two smaller sides of a triangle must be greater than the longest side.

In option A,

$5+5=10>5$

Sides 5 in, 5 in, 5 in are the lengths of the sides of a triangle.

In option B,

$10+15=25>20$

Sides 10 cm, 15 cm, 20 cm are the lengths of the sides of a triangle.

In option C,

$3+4=7>5$

Sides 3 in, 4 in, 5 in are the lengths of the sides of a triangle.

In option D,

$8+5=13$

Since, the sum of two smaller sides is less than the longest side, therefore the sides 8 ft, 15 ft, 5 ft are not the lengths of the sides of a triangle.

Therefore, the correct option is D.

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At Elisa's printing company, there are two kinds of printing presses: Model A, which can print 70 books/ day, and model B, which

Dmitrij [34]

Answer:

9 Model As.

Step-by-step explanation:

Let A represent Press A and let B represent Press B.

So, they own 14 total presses. This means that:

$A+B=14$

They can print 905 books per day, in other words, since A prints 70 per day and B prints 55 per day:

$70A+55B=905$

This is now a system of equations. Solve by substitution. From the first equation, subtract B from both sides:

$A=14-B$

Substitute this into the second equation: "

$70(14-B)+55B=905$

First, we can divide everything by 5 to simplify things:

$14(14-B)+11B=181$

Distribute the left:

$196-14B+11B=181$

Combine like terms:

$-3B+196=181$

Subtract 196 from both sides:

$-3B=-15$

Divide both sides by -3

$B=5$

So, the company has 5 Model B presses.

Which means that the company has 14-5 or 9 Model A presses.

And we're done!

3 0

3 years ago

The table shows a linear function. <br>which equation represents the function?

Bas_tet [7]

Answer:

Option C is correct.

The equation $f(x)= -\frac{1}{2}x +4$ represents the function.

Step-by-step explanation:

Using slope intercept form to find the equation of line :

For any two points $(x_1, y_1)$ and $(x_2, y_2)$ the equation of line is given by:

$y -y _1 = m(x-x_1)$ ......[1] ;where m is the slope given by:

$m = \frac{y_2-y_1}{x_2-x_1}$

Consider any two points from table :

let (4, 2) and (0, 4) be any two points.

calculate slope:

$m = \frac{y_2-y_1}{x_2-x_1}= \frac{4-2}{0-4}$

$m = \frac{2}{-4} = -\frac{1}{2}$

Now, substitute in equation [1] we have:

$y - 2 = -\frac{1}{2} (x-4)$

Distributive property i.e, $a\cdot (b+c) = a\cdot b + a\cdot c$

$y -2 = -\frac{1}{2}x +2$

Add both sides 2 we get;

$y -2+2 = -\frac{1}{2}x+2+2$

Simplify:

$y = -\frac{1}{2}x+4$

Since, y= f(x)

$f(x)= -\frac{1}{2}x +4$

therefore, the equation $f(x)= -\frac{1}{2}x +4$ represents the function.

8 0

3 years ago

Help Please?

Gemiola [76]

Answer:

1 a = 70%

b 6.5 times

c green = 16%

2. ????? Very poorly worded question

2. a 54%

b. 46%

c. 70%

d. 27%

Step-by-step explanation:

1. Students in a class were asked to tell their favorite color.

a. What percent said red, blue, or yellow? __% said red, blue, or yellow.

red is .26

blue is .40

yellow is .04

---------------------

.70 = 70 %

b. How many times more students said red than yellow?

red .26

yellow is .04

.26/.04 = 6.5 times

c. What percent of students said green? __% said green.

The circle must total 100 %

Red + blue + yellow + purple + green = 100

26+ 40 + 4 + 14 + green = 100

84 + green = 100

Subtract 84 from each side

84-84 + green = 100-84

green = 16

2. Which two methods could be used to find the percent of students who said green?

We can either convert the percents to decimals or the decimals to percents

The total percents must equal 100%

The total decimal must equal 1

a. Find the sum of the percents given in the circle graph.

If they only want the ones written on the graph as percents

(14+40) = 54%

b. Find the sum of the percent forms of the numbers given in the circle graph. Subtract the result from 100%.

100 - 54% = 46%

c. Find the sum of the decimal forms of the numbers given in the circle graph. Subtract that sum from 1. Change the result to a percent.

.26+.04 = .3

1-.3 = .7

70%

d. Find the sum of half of the percents given in the circle graph. Subtract that total from 50%.

1/2 (46%) = 23%

50 -23 = 27%

5 0

3 years ago

Find the slope of the line through each pair of points. (15, 8), (-1, 15).

Natalija [7]

Answer:

22.6

Step-by-step explanation:

15-1 8-15

14^2 7^2

196+49

245

15.6

8 0

3 years ago

Suppose that 12 inches of wire cost 48 cents at the same rate how many inches of wire can be bought for 28 cents

goldenfox [79]

Answer:

7 in

Step-by-step explanation:

If 12 inches of wire can be bought for $0.48, we can set up the following ratio:

$\frac{12\text{ in}}{\$0.48}$

Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:

$\frac{12\text{ in}}{\$0.48}=\frac{x}{\$0.28}$

Then, cross-multiply and solve for $x$ :

$\$0.48x=(\$0.28)(12)$

$\$0.48x=\$3.36$

$x=\frac{\$3.36}{\$0.48}$

$x=7$

3 0

1 year ago