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Nataly [62]
2 years ago
7

The ratio of the number of miles Kyle drives to the number of hours he is driving is 468 to 9. What is Kyle's rate of speed? A)

52 miles per hour B) 56 miles per hour C) 64 miles per hour D) 68 miles per hour Submit
Mathematics
2 answers:
NemiM [27]2 years ago
6 0

its 52 miles per hour or A

also I took the test

mr_godi [17]2 years ago
3 0

Answer:

the answer is 52

Step-by-step explanation:

you have to divide 468 by 9 and should get you too 52

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If PQ and RS intersect to form four right angles which statement is true
Rus_ich [418]
Given that PQ and RS intersect to form four right angles, then they form an angle of 90 degrees, this implies that:
if the meet at point O, 
then;
∠POR=∠POS=∠QOS=∠ROQ=90°
Therefore the correct statement is:
PQ is perpendicular to RS
that is to mean:
PQ⊥RS
The answer is C.
7 0
1 year ago
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Ming-Li spent $15 at the movies. She then earned $30 babysitting . She spent $12 at the bookstore. She now has $18 left . How mu
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Ming-Li had $75 to begin with. Just add all the numbers
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2 years ago
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Upper A baseball organization tests players to see whether they are using​ performance-enhancing drugs. Officials select a team
aleksklad [387]

Answer:

Cluster sampling

No

Step-by-step explanation:

Missing part of Question

Find:

a) Which type of sample is this?

b) Is it the correct choice ?

Solution:

- Simple random sample is the one in which every individual would have equal chance of being selected.

- Stratified random sample draws simple random sample from the independent sub-groups.

- Systematic sampling is letting every kth individual be in the sample ( k as an integer )

- Convenience sampling is used for example voluntary response or a sub-group from the population.

a)

Cluster sampling was used in our case because one of all the teams were chosen and this entire team is in this sample.

b)

No. This method has limitation of giving us a shortsighted view which lacks the overview on the use of performance-enhancing drugs, we can only use this sample to draw conclusions on the team.

7 0
2 years ago
answer A radio station located 120 miles due east of Collinsville has a listening radius of 100 miles. A straight road joins Col
melamori03 [73]

Answer:

168.7602 miles

Step-by-step explanation:

One way to solve this problem is by using an equation that describes the listening radius of the station, and another for the road, then the points where this two-equation intersect each other will represent when the driver starts and stops listening to the station, and the distance between the points is the miles that the driver will receive the signal.

The equation for the listening radius (the radio station is at (0,0)):

x^2+y^2=100^2

The equation for the road that past through the points (-120,0) and (80,100) (Collinsville and Harmony respectively):

m=\frac{y_2-y_1}{x_2-x_1} =\frac{100-0}{80-(-120)}=\frac{100}{200}=\frac{1}{2}

y-y_1=m(x-x_1)\\y-0=\frac{1}{2}(x-(-120))\\ y=\frac{1}{2}x+60

Substitutes the value of y in the equation of the circle:

x^2+(\frac{1}{2}x+60)^2=100^2\\x^2+\frac{1}{4} x^2+60x+3600=10000\\\frac{5}{4} x^2+60x+3600=10000\\\frac{5}{4} x^2+60x+3600-10000=0\\\frac{5}{4} x^2+60x-6400=0\\5 x^2+240x-25600=0\\x^2+48x-5120=0\\

The formula to solve second-degree equations:

x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac} }{2a} \\x_{1,2}=\frac{-48\pm\sqrt{48^2-4(1)(-5120)} }{2(1)}\\x_{1,2}=\frac{-48\pm\sqrt{2304+20480} }{2}\\x_{1,2}=\frac{-48\pm\sqrt{22784} }{2}\\x_{1,2}=\frac{-48\pm16\sqrt{89} }{2}\\x_{1,2}=-24\pm8\sqrt{89} \\x_1=-24+8\sqrt{89}\approx51.4718\\x_2=-24-8\sqrt{89}\approx-99.4718\\

Using the values in x to find the values in y:

y_1=\frac{1}{2}x_1+60\\y_1=\frac{1}{2}(-24+8\sqrt{89} )+60\\y_1=-12+4\sqrt{89}+60\\ y_1=48+4\sqrt{89}\approx85.7359

y_2=\frac{1}{2}x_2+60\\y_2=\frac{1}{2}(-24-8\sqrt{89} )+60\\y_1=-12-4\sqrt{89}+60\\ y_1=48-4\sqrt{89}\approx10.2641

The distance between the points (51.4718,85.7359) and (-99.4718,10.2641) :

d=\sqrt{(x_1 -x_2 )^2+(y_1 -y_2)^2} \\d=\sqrt{(-24+8\sqrt{89} -(-24-8\sqrt{89}) )^2+(48+4\sqrt{89} -(48-4\sqrt{89}) )^2}\\d=\sqrt{(-24+8\sqrt{89} +24+8\sqrt{89} )^2+(48+4\sqrt{89} -48+4\sqrt{89} )^2}\\d=\sqrt{(16\sqrt{89} )^2+(8\sqrt{89} )^2}\\d=\sqrt{22784+5696}\\d=\sqrt{28480}\\d=8\sqrt{445}\approx168.7602miles

4 0
2 years ago
The intersection of two planes can be a point.
gregori [183]
No


If two planes intersect each other, the intersection will always be a line. where r 0 r_0 r0​ is a point on the line and v is the vector result of the cross product of the normal vectors of the two planes.
4 0
1 year ago
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