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wariber [46]
2 years ago
10

Let ∠D be an acute angle such that cosD=0.33. Use a calculator to approximate the measure of ∠D to the nearest tenth of a degree

.
What is the measurement of
Please show all the work on how you got your answer.

Mathematics
1 answer:
kotegsom [21]2 years ago
5 0

To approximate the measure of angle D, we will need to use the inverse cosine function on our calculator. All calculators vary, so I am not sure where you would find the button for it on your calculator. However, I know many calculators have it so you click the second button, then cos.

cos(D) = 0.33

D = cos^-1 (0.33)

D = 70.7 degrees

Hope this helps!! :)

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The function d=0.006s squared represents the braking distances d in meters of a car at a speed s in kilometer per second.Graph t
Molodets [167]

Answer:

Part 1) The graph in the attached figure

Part 2) The value of s is approximately 45 km/sec

Step-by-step explanation:

<u><em>The complete question is</em></u>

The function d=0.006s² represents the braking distances d in meters of a car at a speed s in kilometer per second.Graph the function. Then use your graph to estimate the speed of the car if its braking distance is 12 meters

Part 1) Graph the function

Let

s ----> the speed in kilometers per second

d ----> the braking distances in meters

we have

d=0.006s^2

This is a quadratic equation (vertical parabola) open upward (the leading coefficient is positive)

The vertex represent a minimum

The vertex is the origin

The axis of symmetry is the y-axis

Find the values of d for different values of s

so

For s=0 km/sec ----> d=0.006(0)^2=0\ m ---> point (0,0)

For s=20 km/sec ----> d=0.006(20)^2=2.4\ m ---> point (20,2.4)

For s=30 km/sec ----> d=0.006(30)^2=5.4\ m ---> point (30,5.4)

For s=40 km/sec ----> d=0.006(40)^2=9.6\ m ---> point (40,9.6)

For s=50 km/sec ----> d=0.006(50)^2=15\ m ---> point (50,15)

To graph the function plot the points and connect them  

see the attached figure

Part 2) Use your graph to estimate the speed of the car if its braking distance is 12 meters

Looking at the graph

For d=12 m

The value of s is approximately 45 km/sec

see the attached figure

5 0
2 years ago
the table shows different ways that cameron can display his 12 model cars on shelves. How many shelves will display 2 cars if 8
Lera25 [3.4K]

Answer:

4 shelves

Step-by-step explanation:

if there is 8 shelves that display 1 car then that means there is 8 cars total.

so if you need a total of 12 cars then you would do (total of cars needed - total of cars you have).

(12-8) which would equal 4.

you need 4 cars left but on each shelf going forward needs to have 2 cars on it.

now since you have 4 cars you would divide that by the amount of cars on each shelf going forward.

4/2) which equals 2.

you need 2 more shelfs for the 4 cars needed.

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