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Fofino [41]
3 years ago
8

Find the value of x. round to the nearest tenth

Mathematics
1 answer:
AlladinOne [14]3 years ago
3 0

Answer:

x=21.7

Step-by-step explanation:

cos ø=adjacent/hypotenuse

cos37°=17.3/hypotenuse

hypotenuse=17.3/cos 37°

hypotenuse=21.66

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Solve<br> 2X-3(x+4)=3x-4
Phoenix [80]

Answer: x=4

Step-by-step explanation:

2x-3(x+4)=3x-4

distribute 2x-3x-12=3x-4

combine like terms 5x-12=3x-4

Move everything to one side 2x-8=0

Get x by itself 2x=8

Divide by 2 x=4

6 0
3 years ago
You row a canoe x miles per hour down a river for 20 minutes. On the return trip, you travel 1 mile per hour slower. The return
ozzi

Answer:

Total Distance = 2 miles

Step-by-step explanation:

We know D = RT where

D is distance

R is rate (speed)

T is time

First Leg:

Rate = x mph

Time = 20/60 = 1/3 hour

Hence, D = RT, Distance = x * 1/3 = x/3 miles

Second Leg:

Rate = x - 1

Time = 30/60 = 1/2 hour

Distance = (x - 1) * 1/2 = (x-1)/2

Total distance is the sum of both the legs, hence,

Total distance = \frac{x}{3}+\frac{x-1}{2}=\frac{2x+3(x-1)}{6}=\frac{2x+3x-3}{6}=\frac{5x-3}{6} miles

Since both the distance are equal we can equate and solve:

\frac{x}{3}=\frac{x-1}{2}\\2x=3x-3\\x=3

Plugging this x = 3 into the total distance expression, we get:

\frac{5x-3}{6}\\\frac{5(3)-3}{6}\\=2

Total distance, 2 miles

5 0
3 years ago
If there is 2 bands and one as 56 members and the other has 96 members and needs to be lined up in equal rows how much members w
dlinn [17]

if there are 2 rows then each row will have 78 members

7 0
3 years ago
Which expression can be used to change 75 kilometers per hour to meters per minute?
atroni [7]
1h=60min\\1km=1000m\\\\\\75\ km/h=75\cdot\frac{1000}{60}\ m/min=1250\ m/min
4 0
3 years ago
One of the events in the Winter Olympics is the Men's 500-meter Speed Skating.
poizon [28]

Answer:

Mean: \bar x = 40.61

Median =40.2

Mode = 43.4

Step-by-step explanation:

Given

See attachment for data

Solving (a): The mean

Mean is calculated as:

\bar x = \frac{\sum x}{n}

From the attached:

n = 14

So, the mean is:

\bar x = \frac{43.4+43.4+43.4+43.1+43.2+40.2+40.2+40.1+40.3+39.44+39.17+38.03+38.19+36.45}{14}

\bar x = \frac{568.58}{14}

\bar x = 40.61

Solving (b): The median

n = 14; this is an even number. So, the median is:

Median = \frac{1}{2}(n+1)

Median = \frac{1}{2}(14+1)

Median = \frac{1}{2}(15)

Median = 7.5th

This implies that the median is the average of the 7th and 8th item.

Next, is to order the data (in ascending order): <em>36.45, 38.03, 38.19, 39.17, 39.44, 40.1, 40.2, 40.2, 40.3, 43.1, 43.2, 43.4, 43.4, 43.4.</em>

The 7th and 8th items are: 40.2 and 40.2

The median is:

Median = \frac{1}{2}(40.2 + 40.2)

Median = \frac{1}{2}*80.4

Median =40.2

Solving (c): The mode

43.4 has the highest number of occurrence.

So:

Mode = 43.4

8 0
3 years ago
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