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2 years ago

A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.

Mathematics

1 answer:

snow_tiger [21]2 years ago

8 0

Answer:

Step-by-step explanation:

A car traveled at a constant speed as shown in the graph.

Distance traveled is on the y-axis and duration of travel on the x-axis.

Point A(3.5, 210) shows,

Distance traveled = 210 miles

Time to travel = 3.5 hours

So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.

Slope of the line = speed of the car = $\frac{\text{Distance traveled}}{\text{Time}}$

= $\frac{210}{3.5}$

= 60 mph

Now we will find the speed of the car at another point B(1, 60).

If the speed of car is same as the point B as of point A, point B will lie on the graph.

Speed of the car at B(1, 60) = $\frac{\text{Distance traveled}}{\text{Time}}$

= $\frac{60}{1}$

= 60 mph

Hence, we can say that point B(1, 60) lies on the graph.

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Given: mKP=2mIP, mIVK =120°<br> Find: m∠KJL.

anzhelika [568]

Answer:

<h2>The measure of angle KJL is 40°.</h2>

Step-by-step explanation:

Givens

$m(KP)=2m(IP)$

$m(IVK)=120\°$

Notice that

$m(KP)+m(IP)+m(IVK)=360\°$ , by definition sum of arcs.

Replacing given values, we have

$2m(IP)+m(IP)+120\°=360\°\\3m(IP)=360\° - 120\°\\m(IP)=\frac{240\°}{3}\\ m(IP)=80\°$

Which means $m(KP)=2(80\°)=160\°$

Notice that arc KP is the subtended arc by angle KJL.

We know that the angle formed by a tangen and a secant is equal to one-half of the difference of the intercepted arcs.

$m\angle KJL = \frac{1}{2} (m(KP)-m(IP))\\m \angle KJL = \frac{1}{2}(160\° - 80\° )=\frac{1}{2}(80\°)=40\°$

Therefore, the measure of angle KJL is 40°.

8 0

2 years ago

A media personality argues that global temperatures are not rising, because every year an increase is reported such as 0.08 degr

marta [7]

Answer: C

Step-by-step explanation:

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2 years ago

Consider the equation an^2 = 182 where a is any number between 2 and 5 and n is a positive interger. What are the possible value

vodka [1.7K]

Step-by-step explanation:

an² = 182

When a = 2, n² = 182/2 = 91, n = 9.539...

When a = 5, n² = 182/5 = 36.4, n = 6.033...

Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.

Therefore our possible values of n are 7, 8 and 9.

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2 years ago

The average time taken to complete an exam, X, follows a normal probability distribution with mean = 60 minutes and standard dev

k0ka [10]

Answer: b. 0.8413

Step-by-step explanation:

Given : The average time taken to complete an exam, X, follows a normal probability distribution with $\mu=60\text{ minutes}$ and $\sigma=30\text{ minutes}$ .

Then, the probability that a randomly chosen student will take more than 30 minutes to complete the exam will be :-

$P(x>30)=P(z>\dfrac{30-60}{30})\ \ [\because\ z=\dfrac{x-\mu}{\sigma} ]\\\\=P(z>-1)=P(z-z)=P(Z$

[using z-value table]

Hence, the probability that a randomly chosen student will take more than 30 minutes to complete the exam = 0.8413

3 0

2 years ago

Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of

lisov135 [29]

Answer:

4 servings

Step-by-step explanation:

Yogurt in the container = 1 5/8 pounds

A serving = 3/8 pounds

how many servings of yogurt are in the container?

Servings in the yogurt container = total yogurt in the container / yogurt per servings

= 1 5/8 ÷ 3/8

= 13/8 × 8/3

= 13/3

= 4.33

To the nearest whole serving

= 4 servings

7 0

2 years ago