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juin [17]
3 years ago
5

1.) What is the independent variable?

Mathematics
2 answers:
Advocard [28]3 years ago
8 0

Answer:

1. # of minutes

2. # of words

Step-by-step explanation:

The words depend on how long you read

Nataly [62]3 years ago
6 0

Answer:

The independent variable is the number of minutes spent typing. The dependent variable is the number of words typed

Step-by-step explanation:

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An aeroplane X whose average speed is 50°km/hr leaves kano airport at 7.00am and travels for 2 hours on a bearing 050°. It then
Zigmanuir [339]

Answer:

(a)123 km/hr

(b)39 degrees

Step-by-step explanation:

Plane X with an average speed of 50km/hr travels for 2 hours from P (Kano Airport) to point Q in the diagram.

Distance = Speed X Time

Therefore: PQ =50km/hr X 2 hr =100 km

It moves from Point Q at 9.00 am and arrives at the airstrip A by 11.30am.

Distance, QA=50km/hr X 2.5 hr =125 km

Using alternate angles in the diagram:

\angle Q=110^\circ

(a)First, we calculate the distance traveled, PA by plane Y.

Using Cosine rule

q^2=p^2+a^2-2pa\cos Q\\q^2=100^2+125^2-2(100)(125)\cos 110^\circ\\q^2=34175.50\\q=184.87$ km

SInce aeroplane Y leaves kano airport at 10.00am and arrives at 11.30am

Time taken =1.5 hour

Therefore:

Average Speed of Y

=184.87 \div 1.5\\=123.25$ km/hr\\\approx 123$ km/hr (correct to three significant figures)

(b)Flight Direction of Y

Using Law of Sines

\dfrac{p}{\sin P} =\dfrac{q}{\sin Q}\\\dfrac{125}{\sin P} =\dfrac{184.87}{\sin 110}\\123 \times \sin P=125 \times \sin 110\\\sin P=(125 \times \sin 110) \div 184.87\\P=\arcsin [(125 \times \sin 110) \div 184.87]\\P=39^\circ $ (to the nearest degree)

The direction of flight Y to the nearest degree is 39 degrees.

7 0
3 years ago
What is the answer to the picture
LekaFEV [45]

Answer:

46.6

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A circular rug has a diameter of 6 feet. What is the area of the rug?
SVEN [57.7K]

B) 28.26 squared feet.

To fine area, you need the radius. radius is half of diameter. half of 6 is 3. A=πr2=π·32≈28.27433

3 0
3 years ago
Read 2 more answers
The length of the major axis of the ellipse below is 17 and the length of the red line segment is 6. How long is the blue line s
KatRina [158]

Answer:

<u>Option B. 11</u>

Step-by-step explanation:

See the attached figure

As the figure about an ellipse

So, The sum of distance between A and the foci will be equal the major axis

AB = 6 and the major axis = 17

∴ AB + AC = major axis

∴ 6 + AC = 17

∴ AC = 17 - 6 = 11

<u>So, the length of the blue line segment = 11</u>

5 0
3 years ago
Evaluate this expression for x=-5 and y=-5​
Talja [164]

Answer:

x - 2y=5

Step-by-step explanation:

Given

x = -5; y=-5

x - 2y --- missing from question

Required

Evaluate

We have:

x - 2y

Substitute for x and y

x - 2y=-5 - 2*-5

x - 2y=-5 +10

x - 2y=5

3 0
3 years ago
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