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kumpel [21]
2 years ago
11

In ΔSTU, the measure of ∠U=90°, TU = 6.6 feet, and US = 2.3 feet. Find the measure of ∠S to the nearest tenth of a degree.

Mathematics
2 answers:
zimovet [89]2 years ago
8 0

Answer:

  70.8°

Step-by-step explanation:

The sides and angles are related in a right triangle such that ...

  Tan = Opposite/Adjacent

  tan(S) = UT/US = 6.6/2.3

The inverse tangent function is used to find the angle from its value:

  ∠S = arctan(6.6/23)

  ∠S ≈ 70.8°

LiRa [457]2 years ago
8 0

Answer:

70.8

Step-by-step explanation:

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Find m2ABC<br> (3x + 8)<br><br> (5x - 40)
Virty [35]

Answer:

Step-by-step explanation:

(3x + 8) =(5x - 40)

Remove the brackets and replace 3x with -40 and -40 with 3x.

40 + 8 =5x - 3x  (Remember that when you replace, the signs change from negative to positive and vise versa)

Solve for x. x= -24

Replace x with its value.

3(-24)+ 8= -64

5(-24) - 40= -160

7 0
2 years ago
Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She rece
Lady bird [3.3K]

Answer:

Astrid needs 280 tons of wood to build ships that can accommodate 2100 sailors

Step-by-step explanation:

Here, in this question, we want to know the amount of wood needed by Astrid to accommodate 2100 sailors.

From the question, we can see that 40 tons are needed to build a ship that can accommodate 300 sailors.

Now, we want to make a calculation for the amount of wood needed for 2100 sailors.

Let’s have it this way;

40 tons = 300 sailors

x tons = 2100 sailors

So mathematically,

x * 300 = 2100 * 40

x = (2100 * 40)/300

x = 280 tons of wood

We can see that 280 tons of wood are needed to build ships that can accommodate 2100 sailors

8 0
2 years ago
It took a cheetah 45 minutes to run from Jungle A to Jungle B. The average speed for the trip was 80 km/h. Find the distance bet
Inga [223]
Answer: 60 kilometers
If the average speed for the trip of 80 kilometers per hour, and the time of the trip was 45 minutes, then the distance between the two jungles is 60 kilometers.

45 minutes is three-quarters of an hour, or 0.75. I multiplied this decimal by 80 to get 60, the distance between Jungle A and Jungle B.
8 0
2 years ago
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Sylvia is going to pick out a souvenir hat while she is on vacation. She knows the price of the hat will increase by 5% when she
timurjin [86]
We will evaluate both expressions step by step.

 Sylvia's espression:
 h + 0.05h
 h: Original hat price.
 0.05h: Increase of 5% due to sales tax.

 Jin's expressions:
 1.05h 
 h: Original hat price.
 1.05: Factor for which you must multiply the original price to add 5% due to sales tax.
7 0
2 years ago
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The quotient of 9 3/4 and 5/8​
suter [353]

Answer:

15.6

Step-by-step explanation:

  1. 9\frac{3}{4} = \frac{39}{4}  
  2. Plug 39/4 in: 39/4 ÷ 5/8
  3. 39/4 ÷ 5/8 = 39/4 × 8/5
  4. 39/4 × 8/5 = 312/20
  5. \frac{312}{20} = 15.6  

I hope this helps!

4 0
2 years ago
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