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butalik [34]
2 years ago
15

Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the

top of the dam to be 26º.
Scarlett's height is 1.65 meters, so the height of the dam is
meters.

Mathematics
2 answers:
Anarel [89]2 years ago
8 0
Let me know if you need more help!

Simora [160]2 years ago
7 0

Answer:

Height of the dam is 45.45 meters.

Step-by-step explanation:

From the attached figure, AB is the height of dam NM is Scarlett's height. We have to find the height of the dam. NM = CB = 1.65 m

Using trigonometric equations as:

tan(26)=\dfrac{AC}{NC}

tan(26)=\dfrac{AC}{90}

AC=tan(26)\times 90

AC = 43.8 m

So, the height of the dam is AC + CB = 43.8 m + 1.65 m = 45.45 m

Hence, the height of the dam is 45.45 meter.

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Which graph matches the equation y+3=2(x+3)?
Vlad1618 [11]

Answer:

The graph that includes points (-3,-3) and (0,3)

Step-by-step explanation:

In the pictures attached, the options are shown.

The equation:

y+3=2(x+3)

has the point-slope form, which is:

y-y₁=m(x-x₁)

where (x₁, y₁) is a point on the line and <em>m</em> is its slope. This means that (-3,-3) is on the line. To know the y-intercept of the line, we have to replace x = 0 into the equation, as follows:

y+3=2(0+3)

y+3 = 6

y = 6 - 3

y = 3

Then, point (0, 3) is on the line.

8 0
2 years ago
In a survey of students, 80% were girls and 20% were boys. of the girls surveyed, 40% were wearing sneakers. if a surveyed stude
prisoha [69]

Answer:

\frac{8}{25}

Step-by-step explanation:

probability of selecting a girl from students is \frac{4}{5}

probability of girl wearing sneaker from girls is \frac{4}{10} or \frac{2}{5}

hence, probability of selecting a girl wearing a sneaker will be,

⇒ probability = probability of delecting a girl from students × probability of girl wearing sneakers from girls

⇒ probability = (\frac{4}{5})( \frac{2}{5})

⇒ probability = \frac{8}{25}

3 0
2 years ago
Lana is the oldest of four sisters. Her youngest sister is half her age. The other two sisters are twins $2$ years younger than
vagabundo [1.1K]
Let the youngest sister be n years
Lana will be 2n years, as her youngest sister is half her age
The age of the twins separately will be 2n-2 as they are 2 years younger than Lana
So, the equation looks like this:
n + 2n + 2(2n-2) = 45
Now solve for n:
3n + 4n - 4 = 45
7n - 4 = 45
7n = 49
n = 7
So the youngest sister is 7, Lana is 14 and the twins are 12. 14 + 12 + 12 + 7 =45
8 0
2 years ago
If pq=9 and qr=28, find PR
Ksenya-84 [330]
PQ = 9
QR = 28

Note, there is a Q in each line

Combine the two lines: PQ + QR = PR

plug in the numbers to corresponding variables

9 + 28 = PR

PR = 37

hope this helps
8 0
2 years ago
This year I will have 180 hours free in which I can watch TV or watch movies. Each movie lasts 2 hours, and I'll be able to watc
bekas [8.4K]

Step-by-step explanation:

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2 years ago
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