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icang [17]
3 years ago
5

Please Help: 0.125r - 0.0625 + 0.25r = 0.25 + r

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

Answer:

r=0.5

Step-by-step explanation:

0.125r+0.25r-0.0625=0.25+r

0.375r-0.0625=0.25+r

0.375r-r=0.25+0.0625

-0.625r=0.3125

r=0.3125/0.625

r=0.5

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Answer:

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Step-by-step explanation:

Using long division, you can multiply each given value by 100 to eliminate the decimals:

2.08x100=208

0.16x100=16

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2.08÷0.16=13

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2 years ago
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A telephone pole breaks and falls as shown. To the nearest foot, what was the original height of the pole? Please i need this as
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I don’t know how old this is but hopefully I’m not too late it’s 17 7+10=17 it is NOT 70 ‍♀️
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3 years ago
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3 years ago
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Line segment XY is a directed line segment beginning at point X(9, 2) and ending at point Y(-6, 2). Find the point Z on the line
lozanna [386]

Answer:

(-\frac{3}{8},2)

Step-by-step explanation:

Point Z divides XY into a 5:3 ratio, so Z is 5/3 of the way from X to Y.  That ratio is k, found by writing the numerator of the ratio (5) over the sum of the numerator and the denominator (5 + 3 = 8).  Our k value is 5/8.  Now we will find the rise and run values which is the slope of this line segment:

m=\frac{2-2}{-6-9} =\frac{0}{-15}

Coordinates are found in this formula:

Z(x,y)=(x_{1}+k(run),y_{1} +k(rise))

Filling that in:

Z(x,y)=(9+\frac{5}{8}(-15),2+\frac{5}{8}(0))

which simplifies to

Z(x,y)=(9-\frac{75}{8},2+0)

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7 0
3 years ago
Trigonometry:
Trava [24]

A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

A.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

  • A = 0.05 radians,
  • BC = height of building and
  • AB = 2 km = 2000 m
<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

B.

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

  • r = radius and
  • Ф = angle in radians
<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

  • L = BC,
  • r = AB and
  • Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

7 0
2 years ago
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