Which are not lengths of a right triangle?

A 15-foot log is split into 2 pieces. How long are the pieces if the longest piece is 1.5ft shorter than two of the shorter piec

Allisa [31]

Answer:

8.25 ft & 6.75 ft

Step-by-step explanation:

So we know it's split into two pieces, right? So normally that would be 7.5 ft each. But one is 1.5 ft longer than the other. So as a result, I divided that by 2 to add 0.75 ft to piece one and subtract 0.75 ft from piece two's length. So, the longer piece is 8.25 ft, and the shorter one is 6.75 ft.

8 0

3 years ago

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How do you solve 0.8=6-2.5x

photoshop1234 [79]

X=2.08

To solve you need to first get x by itself. To do that you want to subtract 6 from both sides (get 6 away from x and put on other side) which will leave you with -5.2=-2.5x next isolate x by dividing -2.5 on both sides to then get 2.08=x

6 0

3 years ago

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The formula of finding the volume of a cone is V=1/3π^2h.The radius of a cone is 5 cm and the height of a cone is 10 cm. What is

mariarad [96]

Answer is C.)262 cm^3

V=1/3πr^2h
V=1/3 x 3.14 x 5^2 x 10= 261.67 cm^3

5 0

4 years ago

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Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1? On a coordinate plane, a trapezo

Lena [83]

Answer:

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Step-by-step explanation:

If a trapezoid is dilated with a scale factor between 0 and 1, the resulting trapezoid will look smaller than the original trapezoid.

Since the figure is missing, we can examine the coordinates.

By analyzing the coordinates critically, the correct choice is :

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Because when we compare to the original figure with coordinates:

(0, 0), (1, 4), (2, 4), (3, 0), we can see that, the coordinates of the original figure were multiplied by $\frac{`1}{2}$ .

The scale factor is $k=\frac{`1}{2}$ and this is between 0 and 1

5 0

3 years ago

On September 25, 2011 Michael Vick, the quarterback for the Philadelphia Eagles broke his non-throwing hand in a football game a

miskamm [114]

Answer:

D. We are 95% confident that between about 22% and 28% of ESPN Viewers thought the Eagles would still win the division.

Step-by-step explanation:

We have to calculate a 95% confidence interval for the population proportion. The population is made up of ESPN viewers.

The sample proportion is p=0.25.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.25*0.75}{914}}\\\\\\ \sigma_p=\sqrt{0.00021}=0.014$

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=1.96 \cdot 0.014=0.028$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.25-0.028=0.222\\\\UL=p+z \cdot \sigma_p = 0.25+0.028=0.278$

The 95% confidence interval for the proportion of ESPN viewers is (0.222, 0.278) or (22.2%, 27.8%).

7 0

3 years ago