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quester [9]
3 years ago
13

Terrance wants to determine the height, x, of a nearby tree. He stands 29 feet from the base of the tree. The measure of the ang

le of elevation from Terrance to the top of the tree is 53°.​

Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer:

x = 29tan53

Step-by-step explanation:

Given

Distance from base of the tree = 29feet

Angle of elevation = 53degrees

Required

Height of the tree = x

Using the SOH CAH TOA identity

tan theta = opposite/adjacent

tan 53 = x/29

x = 29tan53

Hence the required measure is x = 29tan53

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Which expressions are equivalent to the one below? Check all that apply.
Paha777 [63]

Answer:

The answer is C.

Step-by-step explanation:

You have to apply Logarithm Law,

log( {a}^{n} ) \:  ⇒ \: n log(a)

So for this question :

log( {10}^{3} )  = 3 log(10)

8 0
3 years ago
Find the value of k ​
Sholpan [36]

9514 1404 393

Answer:

  k = -2

Step-by-step explanation:

The determinant can be formed by subtracting up-diagonal products from down-diagonal products:

  (x)(x+y)(y) +(y)(x)(x+y) +(x+y)(y)(x) -(x+y)^3 -x^3 -y^3

  = 3xy(x+y) -(x^3 +3x^2y +3xy^2 +y^3) -x^3 -y^3

  = -2(x^3 +y^3)

The value of k is -2.

4 0
3 years ago
Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 o
dimulka [17.4K]

Answer:

The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.

Step-by-step explanation:

The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

Hence, we can complete the series thus:

910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210

To evaluate this, we  get

910-710+810-610+710-510+610-410+510-310+410-210+310-110+210

= 1610.0 gallons

Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.

8 0
3 years ago
Name the addition property illustrated by each of the following examples:
polet [3.4K]

Answer:

1.associative property of addition

2.commutative property of addition

3.additive inverse

4.additive identity

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Use Pythagorean Theorem to find each missing length <br>please help with the steps
Montano1993 [528]
The first answer is going to be 15.42 (so b) and the second is going to be 10.67 (so a)
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3 years ago
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