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Oksi-84 [34.3K]
3 years ago
7

PLEASE HELP GIVING MANY POINTS!

Mathematics
1 answer:
NeTakaya3 years ago
3 0

Answer:

  69.01 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

  Tan = Opposite/Adjacent

The tangent function is useful for problems like this. Let the height of the spire be represented by h. The distance (d) across the plaza from the first surveyor satisfies the relation ...

  tan(50°) = (h -1.65)/d

Rearranging to solve for d, we have ...

  d = (h -1.65)/tan(50°)

The distance across the plaza from the second surveyor satisfies the relation ...

  tan(30°) = (101.65 -h)/d

Rearranging this, we have ...

  d = (101.65 -h)/tan(30°)

Equating these expressions for d, we can solve for h.

  (h -1.65)/tan(50°) = (101.65 -h)/tan(30°)

  h(1/tan(50°) +1/tan(30°)) = 101.65/tan(30°) +1.65/tan(50°)

We can divide by the coefficient of h and simplify to get ...

  h = (101.65·tan(50°) +1.65·tan(30°))/(tan(30°) +tan(50°))

  h ≈ 69.0148 ≈ 69.01 . . . . meters

The tip of the spire is 69.01 m above the plaza.

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45/5 = 9
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Which ordered pairs make the equation true? 3x+2y=−7 Select each correct answer. (3, −8)
Nikolay [14]
<h2>SOLVING</h2>

\Large\maltese\underline{\textsf{A. What is Asked}}

Which ordered pairs make the equation \bf{3x+2y=-7} true? Select all that apply. 3 options are given

\Large\maltese\underline{\textsf{B. This problem has been solved!}}

We can tell which ordered pairs make equations true by plugging in the coordinates.

\mathbb{ORDERED\;PAIR\;NUMBER\;ONE}

\bf{3(3)+2(-8)=-7} | simplify

\bf{9-16=-7} |simplify

\bf{-7\equiv-7} | this one checks

\mathbb{ORDERED\;PAIR\;NUMBER\;TWO}

\bf{3(-2)+2(-1)=-7} | simplify

\bf{-6-2=-7} | simplify

\bf{-8\neq-7} | this one does <em>not </em>check

\mathbb{ORDERED\;PAIR\;NUMBER\;THREE}

\bf{3(1)+2(-4)=-7} | simplify

\bf{3-8=-7} | simplify

\bf{-5\ne-7} | this one does <em>not</em> check

\rule{300}{1.7}

\bf{Result:}

              \bf{=The\;First\;Option

\boxed{\bf{aesthetic \not101}}

5 0
2 years ago
W + 1 = d and d = 3w solve by substitution
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Answer:

Step-by-step explanation:

Given

w + 1 = d...........equation 1

d = 3w ...............equation 2

Now putting d = 3w in equation 1

w + 1 = 3w

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w = 1 / 2

putting w = 1 / 2 in equation 2

d = 1 / 2 * 3

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Hope it helps :)

8 0
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Nana76 [90]
Hi there
The formula is
A=p (1+r)^t
A future value
P present value 75
R interest rate 0.05
T time

After 1 year the balance is
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A=78.75

After 2 years
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After 5 years
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7 0
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