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Rufina [12.5K]
3 years ago
6

The angle of deperession of aPt A, as measured form the top of

Mathematics
1 answer:
lara [203]3 years ago
7 0

Answer:B

Step-by-step explanation:

Given

Height of building h=30\ m

Angle of depression \theta =45^{\circ}

Suppose distance of Point A from base of building be  x

From diagram we can write

\Rightarrow \tan \theta =\dfrac{h}{x}

\Rightarrow \tan (45^{\circ})=\dfrac{30}{x}

\Rightarrow 1=\dfrac{30}{x}

\Rightarrow x=30\ m

So, point A is 30\ m from base of building

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Write an equation in standard form of the line that passes through the given point and the given slope. (-9, -4); m = -1/3
tigry1 [53]
<h2>Answer:</h2>

First, we must determine <u><em>b</em></u> using <u><em>slope-intercept form*</em></u>, the given point, and the given slope.

-4 = -\frac{1}{3}(-9) + b\\\\-4 = -3 + b\\\\-1 = b

Second, we need to set up the equation of the line in slope-intercept form.

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

Third, we convert the above equation to <em>STANDARD FORM**</em>.

y = -\frac{1}{3}x - 1\\\\\frac{1}{3}x + y = -1

We now have our equation: \frac{1}{3}x - y = -1

*Slope-intercept form: <em>y = mx + b</em>

**Standard form: <em>ax + by = c</em>

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3 years ago
1 divided by 20 equalyufghytfjbhbh
marin [14]

Answer:

1 divided by 20 is equal to 0.05.

Step-by-step explanation:

In this problem, we need to find 1 divided by 20 is equal to what.

1 should be in the numerator and 20 should be in the denominator.

\dfrac{1}{20}=\dfrac{1}{2}\times \dfrac{1}{10}\\\\=0.5\times 0.1\\\\=0.05

Hence, 1 divided by 20 is equal to 0.05.

5 0
3 years ago
The scale of a map is 1:4 000 000. Hint: 1:4 000 000 means that 1cm on the map = 4 000 000 on the ground. The distance between L
GrogVix [38]

Answer:

325 km

Step-by-step explanation:

Given the scale :

1 : 4 ,000, 000

1cm measure in map = 4000000 on the ground

From the map :

Distance between Leeds and London = 8.125 cm

The actual distance on ground can be calculated thus :

1cm = 4,000,000

8.125cm = x

Cross multiply

x = 32500000 cm

Converting to kilometers :

1 km = 100,000 cm

x = 32500000

Cross multiply

100,000x = 32500000

x = 32500000 / 100000

x = 325

Hence, actual distance between Leeds and London is 325 km

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3 years ago
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El chico de la foto es mi novio
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3 years ago
Write an algebraic expression for the word phrase. 30% of m
oksano4ka [1.4K]
It would be (m*30)/100
8 0
4 years ago
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