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vladimir2022 [97]
3 years ago
5

Using trig to solve for missing angle

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

Answer:

58.99

Step-by-step explanation:

\tan(61)  =  \frac{o}{a}  \\3.74  =  \frac{x}{17}  \\ x = 17 \times 3.74 \\  = 58.99

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Two cars start from the same point driving in opposite directions. Both cars drive 6miles. One car stops, the other car makes a
dimaraw [331]

Answer:

  • <u>14.4 mile</u>²

Explanation:

1. By driving 6 miles each, the cars will be 6 miles + 6 miles = 12 miles appart.

2. When one car stops and the other car makes a 90° left-hand turn and drive 8 miles, you can model the situation with a right triangle, where one leg is 12 miles, the other leg is 8 miles, and the hypotenuse is the distance that separates the cars.

Hence, you must use Pythagoras to find that distance.

3. Pythagoras

  • hypotenuse² = leg₁² + leg₂²

  • hypotenuse = (12 mile)² + (8 mile)² = 144 mile² + 64 mile² = 208 mile²

  • hypotenuse=\sqrt{208mile^2}=14.4mile^2, which is rounded to the neartest tenth of a mile.
8 0
3 years ago
Nikhil, Davina and Sid share a tin of celebrations amongst themselves in the ratio of 8:12:20 respectively.
Sav [38]

Answer:

160

Step-by-step explanation:

n : d : s

8 : 12 : 20

davina = 48 sweets

48/12 = 4

8 + 12 + 20 = 40

40 x 4 = 160 sweets total

5 0
2 years ago
Dalton when to high school at 11 yrs and 3 months he left high school at 18 yrs and 2 months old how long did Dalton spend in hi
Tanya [424]

Answer:

Dalton spent 6 years and 11 months in high school.

Step-by-step explanation:

Dalton were in high school at the age = 11 years and 3 months                       He left high school at the age = 18 years and 2 months

Time spent by Dalton in high school = 18 years 2 months - 11 years and 3 months

= (18 - 11) years and (2 - 3) months

= 7 years - 1 month

= (6 + 1) years - 1 month

= 6 years + 1 year - 1 month

= 6years + 12 months - 1 month

= 6 years + 11 months

Therefore, Dalton spent 6 years and 11 months in high school.

6 0
3 years ago
Please help me find the area!!!!!
Karo-lina-s [1.5K]
For 5 the area is 162 ft
7 0
2 years ago
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Write the resultant of the two vectors as an ordered pair. –6 5 and 6 –5
RideAnS [48]

Answer:

Resultant vector of two vectors is (0, 0).

Step-by-step explanation:

in this question two vectors having ordered pair (-6, 5) and (6, -5) have been given.

We can represent these vectors in the form of

\vec{A}=-6\hat{x}+5\hat{y}

and \vec{A'}=6\hat{x}+(-5)\hat{y}

Now the resultant of these vectors will be = A + A'

A + A' = \vec{A}=-6\hat{x}+5\hat{y} + \vec{A'}=6\hat{x}+(-5)\hat{y}

So the resultant vector = (0 + 0)

Therefore the resultant will be (0, 0)

8 0
3 years ago
Read 2 more answers
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