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Marina86 [1]
3 years ago
14

What are the dimensions of the rectangle?

Mathematics
2 answers:
Papessa [141]3 years ago
8 0
11 x 14
7 + 4 is equal to 11
6 + 8 is equal to 14.
11 point across and 14 points down.
sveticcg [70]3 years ago
3 0
14 units x 16 units.
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Kath starts with a number. she adds 3 to her number then double the result. finally, she subtracts 7. if she ended with 9, what
Dimas [21]
The answer is 5. Work backwards: first add 7 to 9, then divide by 2, then subtract 3.

9+7=16
16/2=8
8-3=5

Cross Check:
5+3=8
8*2=16
16-7=9

Final Answer: 5
4 0
3 years ago
A hot air balloon rising vertically is tracked by an observer located 5 miles from the lift-off point. At a certain moment, the
Zigmanuir [339]

Answer:

Step-by-step explanation:

aThe person and the hot air balloon form a right triangle, with the lift-off point as the vertex that form the right angle. If you were to try to solve for the height of the balloon, you would need to use tangent to do so:

tanθ = opp/adj = y/x

y = xtanθ

What this problem ultimately wants to know, is how the distance of the balloon is changing with respect to time: dy/dt. So we need to take the derivative of the above equation (you need to product rule to do so):

dy/dt = (dx/dt)tanθ + xsec2θ(dθ/dt)

We need to find out values for all of the variables:

The observer is not moving, therefore dx/dt = 0.

The observer is standing 4 miles away from the lift-off point, so x = 4.

The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.

The rate of change for the angle, dθ/dt, is 0.1.

Just plug all the numbers in:

dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)

dy/dt = 0 + 1.6

dy/dt = 1.6 mi/min

5 0
2 years ago
What is the equation of the line that passes through the point (7,2) and has a slope of 1?
Tema [17]

Answer:

x-y=5

Step-by-step explanation:

If a line has a slope of 1, its function can be write as x-y=c

insert point (7,2),t then we can find out the constant c=5, so the equation of this line is x-y=5

6 0
2 years ago
The mean temperature for the first 7 days in January was 6 degrees.The temperature on the 8 days was 10 degrees . What is the me
kolezko [41]

Answer: The mean temperature for the first eight days is 6.5 degrees

Step-by-step explanation: The most important piece of clue has been given which  is the mean (average) for the observed data set, which is 7 days.

Note that the formula for the mean of a data set is derived as;

Mean = ∑x / f

Where ∑x is the summation of all observed data set and f is the number of data observed, that is 7. The formula now becomes;

6 = ∑x / 7

By cross multiplication, we now have,

6 * 7 = ∑x

42 = ∑x

This means the addition of all temperature observed on the first 7 days is 42. The temperature on the eighth day is now given as 10 degrees, this means the summation of all observed data for the first eight days would become 42 + 10 which equals 52. Therefore when calculating the mean for the first eight days, ∑x is now 52. The formula for the first eight days therefore is derived as follows;

Mean = ∑x / 8

Mean = 52 / 8

Mean = 6.5

The calculations therefore show that the mean temperature for the first eight days in January is 6.5 degrees

3 0
3 years ago
Any time you inscribe a square in a circle or circumscribe a right triangle by a circle, which type of line or segment will alwa
pogonyaev

Answer:

Step-by-step explanation:

A diameter of the circle.

5 0
3 years ago
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