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mario62 [17]
3 years ago
5

Jina wants to measure the width of a river. She marks off two right triangles, as shown in the figure. The base of the larger tr

iangle has a length of 56m, and the base of the smaller triangle has a length of 26m. The height of the smaller triangle is 20.9m. How wide is the river? Round your answer to the nearest meter.
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0

Answer:

width of a river = 45m

Step-by-step explanation:

ration and proportion

let x = width of a river

x            20.9 m

------  =    --------

56 m       26 m

x = (20.9 * 56) / 26

x = 45 m

therefore the width of a river is 45 m

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7n + 3 = 3n + 27

7n -3n =27-3
4n =24
n= 6.
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3 years ago
I am having a test tomorrow about this can someone help me explain it?​
Amiraneli [1.4K]

Answer:

the answer would be 217 [degrees]

Step-by-step explanation:

Since m<1 and m<2 are next to each other, they are adjacent. Adjacent angles  must share a common side which is m<W. This means they have to be added.   m<1+m<2= m<XYZ

145+72=217

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2 years ago
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How do you factor this expression by dividing by the GCF first. 15c-25
chubhunter [2.5K]
15c-25
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4 0
3 years ago
A company has budgeted 5 1/4 hours to complete a project, with 1/3 of the time spent on research. How much time does the company
elena-s [515]

Given that a company budgeted 5 1/4 hours to complete a project, determine how much time they spent on research if they spent 1/3 of the total budget.

First, convert the budget from hours into minutes.

5 1/4 hours = 315 minutes

1 hour = 60 min

1/4 hour = 15 min

60 x 5 = 300

300 + 15 = 315

Then, divide the minutes by 3 or multiply it by 1/3.

315 / 3 = 105

315 x 1/3 = 105

Lastly convert to a mixed number.

1 3/4 hour

Thus, the company plans to spend 1 3/4 hours or 1 hour and 45 minutes on research.

7 0
3 years ago
Sara and Paul are on opposite sides of a building that a telephone pole fell on. The pole is leaning away from Paul at
r-ruslan [8.4K]

Answer:

a) See figure attached

b) x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft

c) h = 35 sin (59) = 30.0 ft

So then the heigth for the building is approximately 30 ft

Step-by-step explanation:

Part a

We can see the figure attached is a illustration for the problem on this case.

Part b

For this case we can use the sin law to find the value of r first like this:

\frac{sin(22)}{35 ft} =\frac{sin(59)}{r}

r= \frac{sin(59)}{sin(22)} 35 ft = 80.086ft

Then we can use the same law in order to find the valueof x liek this:

\frac{sin(124)}{x ft} =\frac{sin(34)}{80.086}

x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft

And that represent the distance between Sara and Paul.

Part c

For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.

sin (59) = \frac{h}{35}

And if we solve for h we got:

h = 35 sin (59) = 30.0 ft

So then the heigth for the building is approximately 30 ft

5 0
3 years ago
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