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Katena32 [7]
2 years ago
5

3 adults go on a trip with 39 sixth grade students. What is the ratio of adults to students?

Mathematics
1 answer:
ahrayia [7]2 years ago
5 0
The answer is 1:13 you have to divide
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In ΔNOP, the measure of ∠P=90°, NP = 12, PO = 35, and ON = 37. What ratio represents the cosine of ∠O?
Oxana [17]

Answer:

35/37

Step-by-step explanation:

In this question, we are to calculate the ratio that represents the cosine of angle O

Firstly, please check attachment for diagram of the triangle.

Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse

The hypotenuse is the longest length which is 37 which represents the length ON

The side adjacent to angle O is the side OP which is 35

Thus, the ratio representing the cosine of angle O is 35/37

6 0
3 years ago
What is the factored form of 4x2 + 12x + 5? A. (2x + 4)(2x + 3) B. (4x + 5)(x + 1) C. (2x + 1)(2x + 5) D. (4x + 1)(x + 5)
Ivanshal [37]
4x^2 + 12x + 5 =
(2x + 1)(2x + 5)
6 0
3 years ago
Read 2 more answers
Zeek then want to ride his bike to the old spaghetti factory. He wondering if he should bike 1 mile north, then 0.5 miles direct
frosja888 [35]

Answer:

He should travel directly

Step-by-step explanation:

Given

x = 0.5 --- East

y =1 --- North

If he goes through east north direction, the distance (d) traveled is:

d = x + y

d = 0.5 + 1

d = 1.5 mile

If he travels directly, the distance (d) is:

d = \sqrt{x^2 + y^2} ---- Pythagoras theorem

d = \sqrt{0.5^2 + 1^2}

d = \sqrt{0.25 + 1}

d = \sqrt{1.25}

d = 1.12mile

By comparison, he will travel the shortest distance if he travels directly because 1.12 < 1.5

<em>Hence, he should travel directly</em>

6 0
2 years ago
The rectangular rug has side lengths of 3 and 4 ft. What is the length of the diagonal? Draw a picture of the problem and solve.
Nadusha1986 [10]

ANSWER

The length of the diagonal is 5 ft

EXPLANATION

The diagram of the rug with the diagonal is:

The diagonal and the sides form a right triangle, so we can use the Pythagorean theorem to find x, the length of the diagonal:

\begin{gathered} x^2=3^2+4^2 \\ x=\sqrt[]{9+16} \\ x=\sqrt[]{25} \\ x=5 \end{gathered}

7 0
1 year ago
Susan can run 2 city blocks per minute. she wants to run 60 blocks. how long will it take her to finish if she has already run 1
Brut [27]
60 blocks in 30 min
18 blocks in 9 min
Method 1
60-18 = 42
42 blocks in 21 min
Method 2
30-9 =21 min
6 0
3 years ago
Read 2 more answers
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