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Gnom [1K]
2 years ago
12

A university employs a total of 560 teaching assistants and research assistants. There are three times as many teaching

Mathematics
1 answer:
Scrat [10]2 years ago
8 0

Answer:

170

Step-by-step explanation:

There are three times as many teaching assistants as research assistants. Find the number of research assistants employed by the university. Hence the number of research assistants is 170.

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At the start of 2014 Mike's car was worth £12000.
chubhunter [2.5K]
We have to calculate the value of the car after 3 years at the start of 2017.
= 1200(1-0.30)^{3}
= 12000 × 0.343
= $4,116
5 0
3 years ago
Read 2 more answers
The cup, on the 9th hole of a golf course, is located, dead center, in the middle of a circular green, which is 35 feet in radiu
ale4655 [162]

Answer:

± 27.33 ft

Step-by-step explanation:

For the given problem, we can estimate the initial and final coordinates of the line of the ball path as (-40,-50) and (0,0). Therefore, the slope is:

(-50-0)/(-40-0) = 50/40 = 1.25

Similarly, we can estimate the slope of a perpendicular line to the line of the ball path as: -1*(1/1.25) = -0.8.

Therefore, using (0,0) and the slope -0.8, the equation of the perpendicular line is: -0.8 = (y-0)/(x-0);

-0.8 = y/x

y = -0.8x

Furthermore, we are given the circle radius as 35 ft and we can use the distance formula to find the two points 35 ft far from the origin:

35^2 = x^2 + y^2

y = -0.8x

35^2 = x^2 + (-0.8x)^2

1225 = (x^2 + 0.64x^2)

1225 = 1.64x^2

x^2 = 1225/1.64 = 746.95

x = sqrt(746.95) = ± 27.33 ft

5 0
3 years ago
I have no idea how to do this.
Anastasy [175]
The trick to solving problems with mixed units is to convert all of them into one unit or another, so:

There are 12 inches in a foot, so 72 inches = 6 feet.
To find the perimeter of a polygon, sum its sides.
Perimeter = 2 + 5 + 6 = 13 feet.

To find the area of a right triangle (which I assume the one in the picture is), we can use the following equation: A = 0.5 * base * height
There are 3 feet to one yard, so 6 feet = 2 yards.
Area = 0.5 * 2 * 1 = 1 yard^2
7 0
3 years ago
A line that includes the point (-4, 7) has a slope of 6. What is its equation in point-slope
aalyn [17]
Point slope formula: y-y1=m(x-x1). Answer: y-7=6(x-(-4))
7 0
3 years ago
Jessica is measuring two line segments. The first line segment is 30 centimeters long. The second line segment is 500 millimeter
Zolol [24]

Answer:

800 mm or 80 cm

Step-by-step explanation:

We are given that Jessica is measuring two line segments.

Length of first line segment  =30 cm

Length of second line segment=300 mm

We have to find that Length of two line segments together

We know that 1 cm =10 mm

Length of firs line segment =

Length of two line  segments together=500+300=800 mm=

Hence, the length of two line segments together=800 mm=80 cm

Read more on Brainly.com - brainly.com/question/544258#readmore

8 0
3 years ago
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