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Anna11 [10]
3 years ago
15

A hunter walks 400m Up a hill which slopes at an angle of 20 to the horizontal. Calculate,correct to the nearest metre, the: a.

horizontal distance he covered b.vertical height through which he rises.​
Mathematics
1 answer:
AysviL [449]3 years ago
8 0

let y be the horizontal distance and x the vertical

y/400 = cos 20

y=400 cos20

y=376m

x/400 =sin20

x=400sin20

x=137m

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Exactly 1/20 of the students in mr.perez's class has a bird. what percentage of his students has a bird.
zimovet [89]
1/20 is equal to 5/100, meaning 5% have a bird
4 0
4 years ago
5^x=62 Giving 20 points!
Dmitry [639]

Answer:

x = 2.564 ( to 3 dec. places )

Step-by-step explanation:

Using the rule of logarithms

logx^{n} ⇔ n logx

Given

5^{x} = 62 ( take the ln of both sides )

ln5^{x} = ln 62, that is

x ln5 = ln 62 ( divide both sides by ln 5 )

x = \frac{ln62}{ln5} ≈ 2.564

6 0
3 years ago
Read 2 more answers
PLZ HELP!!!!!
Ronch [10]

Kg to Pounds

8.3 kg in ponds is 18.26 lb

Kg to Ounces

8.3 kg in ounces is 292.16 oz

Step-by-step explanation:

We need to convert 8.3 kg to pounds and ounces

The conversion ratio is:

  • 1 lb = 16 oz
  • 1 kg = 2.2 lb  

Converting kg to pounds(lb)

We know 1 kg = 2.2 lb

So, 8.3 kg = 8.3*2.2 lb

8.3 kg = 18.26 lb

So, 8.3 kg in ponds is 18.26 lb

Converting kg to ounces (oz)

We know that: 1 lb = 16 oz

We have converted 8.3 kg into 18.26 lb (pounds)

So, 1 lb = 16 oz

18.26 lb = 18.26*16 oz

18.26 lb =292.16 oz(ounces)

So, 8.3 kg in ounces is 292.16 oz

Keywords: Conversion of units

Learn more about Conversion of units at:

  • brainly.com/question/10940255
  • brainly.com/question/4736384
  • brainly.com/question/118412

#learnwithBrainly

8 0
4 years ago
A line passes through (-5, -3) and is parallel to -3x - 7y= 10. The equation of the line in slope-intercept form is
adell [148]

Answer:

A.

Step-by-step explanation:

-3x-7y = 10

In slope - intercept form

y = -3/7x - 10/7

Since the lines are parallel so the slopes will be equal

m = -3/7

Now

Point = (x,y) = (-5,-3)

So, x = -5, y = -3

Putting in slope intercept form to find b

y = mx+b

-3 = (-3/7)(-5) + b

-3 = 15/7 + b

7b = -21-15

7b = -36

b = -36/7

Now the slope intercept form for the line is

y = -3/7x-36/7

8 0
3 years ago
Use a proportion with sides AB and RS to find the scale factor of ABD to RST.
Dmitry_Shevchenko [17]

Answer:

\boxed{3:1}

Step-by-step explanation:

Similar triangles are those whose shape is the same, but they don't necessarily have the same size. However, the corresponding sides of the triangles are in the same length ratio. In this exercise, we know all the sides of triangle ΔABC and an only side of the triangle ΔRST. To find the scale factor, we must compute the following:

\frac{AB}{RS}=\frac{18}{6}=3 \\ \\ Scale \ factor \\ \boxed{3:1}

Finally, the other sides of the tingle ΔRST can be found by dividing each side of triangle ΔABC by 3 as follows:

ST=\frac{15}{3}=5 \\ \\ RT=\frac{9}{3}=3

4 0
4 years ago
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