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Natali5045456 [20]
1 year ago
8

Two trees are leaning on each other in the forest. One tree is 19 feet long and makes a 32° angle with the ground. The second tr

ee is 16 feet long. What is the approximate angle, x, that the second tree makes with the ground? A 0.6° B 35.0° C 39.0° D 58.0°

Mathematics
1 answer:
Flauer [41]1 year ago
6 0

<em>Greetings from Brasil...</em>

We need to use the Sine Law in Any Triangle....

(AB/SEN C) = (BC/SEN A)

19/SEN X = 16/SEN32

SEN X = 0,62

<em>using the sine arc</em>

ARC SEN 0,62 ≈ 39

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Answer:

IT'S 12

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3 0
1 year ago
Find the sum of the first 8 terms of the sequence: -5. 15, -45, 135, .......
MakcuM [25]
Sum of geometric sequence

for the sum where the initial value is a₁ and the common ratio is r and the term is n

S_n= \frac{a_1(1-r^n)}{1-r}

common ratio is -3
-5 times -3 is 15, -15 times -3=-45 etc
first term is -5
and we want the 8th term

S_8= \frac{-5(1-(-3)^8)}{1-(-3)}
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the sum is 8200
7 0
1 year ago
Juan purchased an antique that had a value of $200, at the time of purchase. Each year, the value of the antique is estimated to
algol13

Answer: a= 1.21

Step-by-step explanation:

Note: This is a compound interest problem

Step 1

The value of the antique after one year is:

100% + 10% of the purchase price

= 110% of 200

=110/100 of 200

=1.10 × 200

Step 2

The value after two years is:

110% of the value after one year

=110% of (1.10 × 200)

=110/100 of (1.10× 200)

=1.10×(1.10×200)

=1.21×200

Step 3

Expressing the above solutionin the form 200a:

= 200× a = 200 × 1.21

|a=1.21

Thanks

3 0
1 year ago
You have just timed a person doing a hair cut for the first time. It took 50 minutes. What unit improvement factor learning curv
Sladkaya [172]

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Time for the second unit = 35 minutes

The unit improvement factor learning curve = (The time for the second unit) ÷ (time for the first unit) x 100.

So, The unit improvement factor learning curve  = 35÷ 50 × 100 = 70 percent.

Hence, the correct option is "C. 70 percent".

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1 year ago
Dalvin's family took a road trip to Mount Rushmore. Dalvin fell asleep 44% of the way through the trip. If Dalvin fell asleep af
Tpy6a [65]

Answer:

The total length of the trip was 400 miles.

Step-by-step explanation:

He fell asleep at 44% through the trip, they already had traveled 176 miles.

.44x = 176 ⇒

176 ÷ .44 ⇒

x = 400

8 0
1 year ago
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