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denpristay [2]
3 years ago
12

Expression of "Eight less than half the sum of 4 and k” into symbol

Mathematics
1 answer:
jolli1 [7]3 years ago
7 0

Answer:

\frac{4+k}{2} -8

Step-by-step explanation:

We're going to have to work backwards.

The sum of 4 and k is 4+k.

Half is simply that divided by 2.

\frac{4+k}{2}

Now, we'll subtract 8 from it.

\frac{4+k}{2} -8

Bam!

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If you're good at trigonometry please help me with question nine a and b and show full working out tyyyyyyyy ;)
Mariulka [41]

Problem 9, part a)

Compass bearings always have north as the starting point. This is where 0 degrees is situated, and 360 degrees as well. As the bearing angle increases, you'll turn to the right toward the eastward direction. Effectively you're sweeping out a clockwise rotation. The bearing 322 degrees is in a northwest position as the diagram shows (place the ship at the bottom right corner of the triangle). The bottom right acute angle of the triangle is 322 - 270 = 52 degrees. This is the reference angle we'll use for finding the distance d.

With respect to the reference angle of 52 degrees, the side 18.5 is the opposite side and d is the adjacent side. Use the tangent ratio to get...

tan(angle) = opposite/adjacent

tan(52) = 18.5/d

d*tan(52) = 18.5

d = 18.5/tan(52)

d = 14.4537840903742

The approximate value of d is 14.4537840903742 km

This rounds to 14.5 when rounding to one decimal place.

<h3>Answer: 14.5 km</h3>

=======================================================

Problem 9, part b)

Recall that

distance = rate*time

where "rate" is another term for "speed" or "velocity"

We can solve this for the time to get

time = distance/rate

------

We found the distance back in part a) above. We are given the rate of 48 km/h

So,

time = distance/rate

time = 14.4537840903742/48

time = 0.3011205018828

This is the time it takes in hours. Multiply by 60 to convert to minutes

0.3011205018828 hours = 60*0.3011205018828 = 18.067230112968 minutes

This rounds to the whole number 18

<h3>Answer: 18 minutes</h3>
5 0
3 years ago
Find the x-intercept and y-intercept of the line. 2x-6y=6
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Answer:

x-intercept: (3,0)

y-intercept: (0,−1)

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3 years ago
The ratio of snails to fish in the fishtank is 2:5
Elina [12.6K]
There are 6 snails and 5 fish.
6:15, because
2:5
2+5=7
21/7=3
2:5(3)= 6:15
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3 years ago
How do you find slope
alisha [4.7K]

Step-by-step explanation:

Hi there!

To find slope you use the change of y over change of x formula. You first need to ordered pairs to plug into the equation.

Formula:

(Y1-Y2)/(X1-X2)

7 0
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