10. Please help. What is the length of ED⎯⎯⎯⎯⎯⎯⎯⎯?

The rate a car travels varies inversely with the time of the trip. If a car traveling 63 miles per hour can make the

Dahasolnce [82]

Answer:

2.25 hours

Step-by-step explanation:

7 0

3 years ago

11th grade geometry:

Aliun [14]

Answer:

The perimeter is 72 units and the area is 149 square units.

Step-by-step explanation:

$\triangle SBA$ has coordinates $S(15,-8),B(-2,21)$ and $A(0,0)$

Using the distance formula.........

Length of side $SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}$

Length of side $BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}$

Length of side $AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17$

So, the perimeter of the triangle will be: $(SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72$ units. (Rounded to the nearest unit)

The height of the triangle for the corresponding base $SB$ is 8.89 units.

Formula for the Area of triangle, $A= \frac{1}{2}(base\times height)$

So, the area of the $\triangle SBA$ will be: $\frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149$ square units. (Rounded to the nearest unit)

3 0

4 years ago

Patty buys a new car and gets it appraised every few years. After owning the car for 3 years, its value is $15,000. After owning

zalisa [80]

Answer: 45,000.

Step-by-step explanation:

The equation of inverse variation is given by:-

$k=xy$

, where k is the constant of proportionality.

Given: After owning the car for 3 years, its value is $15,000. After owning the car for 5 years, its value is $9,000.

Here,

$x_1=3,\ y_1=15000\\\\x_2=5,\ y_2=9000$

Then, $k=x_1y_1=3\times15000=45,000$

or $k=x_2y_2=5\times9000=45,000$ [answer is same in both cases.]

Hence, the constant of proportionality in this inverse variation is 45,000.

3 0

3 years ago

tossing a number cube numbered from 1 to 6 and getting an Evan number that is greater than of equal to 2

photoshop1234 [79]

Even numbers on die: 2,4,6
odd numbers on die: 1,3,5
3+3=6 -> 6 numbers in total
3/6 chance because there are 3 even numbers. This would round to 1/2, so 1/2 a chance the die will roll an even number.

5 0

3 years ago

Consider estimating a population proportion p. What is the most conservative sample size (erring on the large size) required in

just olya [345]

Answer:

The most conservative sample size is 2401.

Step-by-step explanation:

We are given the following in the question:

We are not given any approximation of s]ample proportion, thus,

$\hat{p} = 0.5$

We have to construct a 95% confidence interval.

Margin of error = 2% = 0.02

Formula for margin of error =

$z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$0.02 = 1.96\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\0.02 = 1.96\times \sqrt{\dfrac{0.5(1-0.5)}{n}}\\\\\sqrt{n} = 1.96\times \dfrac{\sqrt{0.5(1-0.5)}}{0.02}\\\\\sqrt{n}=49\\n = 2401$

Thus, the most conservative sample size is 2401.

3 0

3 years ago