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Neko [114]
3 years ago
13

A van traveling at a speed of 32.0 mi/h needs a minimum of 42.0 ft to stop. If the same van is traveling 67.0 mi/h, determine it

s minimum stopping distance (in ft), assuming the same rate of acceleration. ft
Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

Δx= 184.12 ft

Step-by-step explanation:

The equation you need to use is velocity as a function of displacement.

v^2= u^2 +2a(\delta x)

v = the speed at which the car is travelling,

and

v_o is the original speed (in this case zero).

The change in x (displacement) is how far the car travels. You will be solving for a (acceleration).

32^2= 0^2+ 2a\times42

solving we get

a= 12.19

now put this acceleration value into the second case when v= 67mi/h

67^2= 0^2 + 2\times12.19(change in x)

⇒Δx= 184.12 ft

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Solve ABC <br>c=10, B=35°, C=65%​
NISA [10]

Answer:

Part 1) The measure of angle A is A=80\°

Part 2) The length side of a is equal to a=10.9\ units

Part 3) The length side of b is equal to b=6.3\ units

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

A+B+C=180\°

substitute the given values

A+35\°+65\°=180\°

A+100\°=180\°

A=180\°-100\°=80\°

step 2

Find the length of side a

Applying the law of sines

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}

a=\frac{10}{sin(65\°)}(sin(80\°))

a=10.9\ units

step 3

Find the length of side b

Applying the law of sines

\frac{b}{sin(B)}=\frac{c}{sin(C)}

substitute the given values

\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}

b=\frac{10}{sin(65\°)}(sin(35\°))

b=6.3\ units

5 0
3 years ago
In an experiment involving single-cell RNA sequencing (scRNA-seq), researchers looked at the expression levels of a particular g
sineoko [7]

The population difference within the pair is normal.

The population distribution of mice with and without diabetes are identical.

mRNA population distribution for mice with diabetes is shifted relative to the population distribution for mice without diabetes.

Conclusion,

the two population has same shape , the two samples are independent  simple random samples  and the two samples are paired , the population means are the same .

Hence, each of the two population distribution is normal.

To learn more about population difference

brainly.com/question/14257759?

#SPJ4

8 0
1 year ago
The equation y = 8.1x models the relationship between the number of hours Alexander works, x, and the dollar amount he earns, y.
Katarina [22]
Start the graph at the <em>y</em>-intercept.  At 0 hours, he will make $0, so (0, 0) is the <em>y</em>-intercept.  From this point, he makes $8.10 an hour; go up 8.1 for every 1 hour you go over on the graph.  The graph is attached.

4 0
3 years ago
Read 3 more answers
Point A is located at (-3, 9) and point B is located at (12,-10). Find the distance from point A to point B rounded to the neare
Nezavi [6.7K]

Answer:

20

Step-by-step explanation:

\sqrt{(( - 10) - 9)^{2}  + (12 - ( - 3)) ^{2} }

\sqrt{( - 19)^{2}  + (15)^{2} }

\sqrt{361 + 225}

\sqrt{586}

24.2074

7 0
2 years ago
NEED HELP.
kirza4 [7]

Answer:

For instance, if the point (1, 3) is on the graph of the function, then the point (3, 1) is on the graph of the inverse. That is, if you start with x = 1, you will go to y = 3; then you plug this into the inverse, and you'll go right back to x = 1, where you started from.

5 0
3 years ago
Read 2 more answers
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