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djverab [1.8K]
3 years ago
5

Find the value for the side marked below.

Mathematics
1 answer:
NARA [144]3 years ago
3 0

Answer:

y = 75.5

Step-by-step explanation:

Reference angle (θ) = 49°

Hypotenuse = 100

Opposite = y

Apply trigonometric function, SOH. Which is:

Sin θ = Opp/Hyp

Plug in the values

Sin 49 = y/100

100*Sin 49 = y

y = 75.5 (nearest tenth)

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Jorge gives an equal number of marbles to 6 friends. Which could be the total number of marbles he gave to his friends? (Answer
ladessa [460]

Answer:

D. 60

Step-by-step explanation:

Since the question stated that the number of marbles given out to his 6 friends were equal, we are certain that the total number of marbles is a factor or multiple of 6.

The only other assumption here is the number of marbles given has to be whole number. This means we just have to go through the answer choices and pick the one that is a multiple of 6.

A. 15 - This is wrong as 15 is not a multiple of 6.

B. 33 - This is wrong as 33 is not a multiple of 6.

C. 56 - This is wrong as 56 is not a multiple of 6.

D. 60 - This is CORRECT as 60 is a multiple of 6.

If Jorge gives each of his friends 10 marbles each, it would bring the total number of marbles to be 60.

6 0
3 years ago
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A bus travels at a constant speed of 48 km/h. How long will it take to travel 600 km?
grigory [225]

Answer:

It will take 12 and 30 hours

Step-by-step explanation:

To solve this, you need to divide by <u>distance needed to travel by the speed</u>

600/48 is equal to 12.5 hours.

.5 hours is equal to 30 mins because 60mins times .5 is 30 minutes, therefore <u>the final answer is 12.5 hours</u>

I hope this helps :)

7 0
3 years ago
movie tickets cost $9.25 each and a large order of popcorn costs $7.75 what is the total cost of 5 movie tickets and a large ord
Gelneren [198K]
The answer would be 54 dollars
8 0
3 years ago
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(6·X)+3
Sunny_sXe [5.5K]
I bieleve it would be c
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3 years ago
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A section in a stained glass window is shaped like a trapezoid. The top base is 2 centimeters and the bottom base is 4.5 centime
Elza [17]

Answer:

2.8 cm

Step-by-step explanation:

The area of a trapezoid is calculated using the formula:

A=\frac{(B+b)h}{2}

where

B is the length of the major base

b is the length of the minor base

h is the height of the trapezoid

In this problem, the glass window has the shape of a trapezoid. We know that:

B = 2 cm is the length of the top base

b = 4.5 cm is the length of the bottom base

A=9.1 cm^2 is the area of the trapezoid

Solving for h, we can find the height of the stained glass window:

h=\frac{2A}{B+b}=\frac{2(9.1)}{2+4.5}=2.8 cm

8 0
3 years ago
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