All categories

3 years ago

Sandy needs to create a triangular structure for her science project. She has two

Mathematics

1 answer:

Elina [12.6K]3 years ago

6 0

Answer:

The third piece must be 14.4 inches

Step-by-step explanation:

We use the triangle inequality theorem to get the third side

using the theorem, it must be that the sum of the two will be greater than the length of the third side

Hence we have it that;

a + b > c

6.5 + 8.1 > c

14.6 > c

So what this mean is that the third length is less than 14.6

the reasonable answer out of the options is thus 14.4 inches

reason for this is that the last two options will also not follow the inequality theorem

You might be interested in

The area of the circle shown below is 100π. What is the diameter (D) of the circle?

Phoenix [80]

$\bf \textit{area of a circle}\\\\
A=\pi r^2~~
\begin{cases}
r=radius\\
-----\\
A=100\pi 
\end{cases}\implies 100\pi =\pi r^2
\\\\\\
\cfrac{100\pi }{\pi }=r^2\implies 100=r^2\implies \sqrt{100}=r\implies \boxed{10=r}$

since a diameter is twice as long as the radius, this one is also 2r.

8 0

3 years ago

Read 2 more answers

Please help with this one :/

Naddika [18.5K]

Answer:

6.3°

Step-by-step explanation:

$\because \: \pi^{c} = 180 \degree \\ \\ \therefore \: 1^{c} = \frac{180 \degree }{\pi} \\ \\ \therefore \: 0.11^{c} = \frac{180 \degree }{3.14} \times 0.11 \\ \\ \therefore \: 0.11^{c} = \frac{180 \degree }{314} \times 11 \\ \\ \therefore \: 0.11^{c} = \frac{1980 \degree }{314} \times 11 \\ \\ \therefore \: 0.11^{c} = 6.30573248\degree \\ \\ \huge \red{ \boxed{\therefore \: 0.11^{c} = 6.3\degree }} \\ \\$

8 0

4 years ago

Doug had a total of $75 to buy 3 pictures for his room. He paid the same amount for each picture and had $27 left over. How much

iren [92.7K]

Around 16 dollars. 75-27=48. 48/3=16

4 0

3 years ago

How to graph 3x=-6 show your work

katrin2010 [14]

Answer:

x=-2

Step-by-step explanation:

divide both sides by 3

you get x=-2

go to -2 on the x axis and draw a line straight down, x=-2 will intercept the x axis at the point -2

same thing for y=-5 (example)

go down five on the y axis and draw a horizontal line to the y axis intercepting at point (0,-5)

4 0

3 years ago

Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided o

Rainbow [258]

Count the rise and run to find the slope, 1. Next, find the y-intercept-(-1). Now make the slope-intercept equation- y = 1x - 1. Double check, put x = 2 in the equation- y = 1(2) - 1 (=) y = 2 - 1 (=) y = 1.

So, the slope-intercept equation for this line is y = 1x - 1.

8 0

4 years ago