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Alla [95]
3 years ago
7

Solve for x and y...............​

Mathematics
2 answers:
sladkih [1.3K]3 years ago
7 0

Answer:

9. x=30, y=10\sqrt{3}

11. x=5\sqrt{3}, y=10\sqrt{3}

Step-by-step explanation:

9)

\sin x=\dfrac{10}{20}\\x=\sin^{-1}\left( \dfrac{1}{2} \right)=30^{\circ}\\y=\sqrt{20^2-10^2}=\sqrt{400-100}=\sqrt{300}=10\sqrt{3}

11)

\tan 60= \dfrac{15}{x}\\x=\dfrac{15}{\tan 60}=5\sqrt{3}\\y=\sqrt{(5\sqrt{3})^2+15^2}=\sqrt{75+225}=\sqrt{300}=10\sqrt{3}

Hope this helps!

storchak [24]3 years ago
7 0

Answer:

9 for x..................

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1,13, 19..<br> Arithmetic, geometric, or neither
rosijanka [135]

Answer:

Neither.

Step-by-step explanation:

13 - 1 = 12 and 19 - 13 = 6  - no common difference  so its not Arithmetic.

13/1 = 13 and 19/13 = 1.46  - no common ratio so its not Geometric.

4 0
3 years ago
Im confused is 3a the same as 5a squared or 4b to 4b squared​
NeX [460]

Step-by-step explanation:

In order to be like terms, the variables and exponents must be the same.

3a can be combined with 14a and 4a.

4b can be combined with 3b and 16b.

a² cannot be combined with any of the terms.

6 0
3 years ago
Mrs. Adesso wants to take her class on a trip to either the science center or natural history museum. The science center charges
BartSMP [9]

Answer:

  25

Step-by-step explanation:

When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.

  y = 75 +7x . . . . . cost for x students to visit the science center

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Subtracting the first equation from the second, we get ...

  0 = -25 +x

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The cost will be the same either place for 25 students.

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<em>Additional comment</em>

Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is ...

  $25/($1 /student) = 25 students.

This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).

4 0
2 years ago
Sonia opened a savings account and then added the same amount to the savings account eyery week. After 5 weeks, her savings acco
Goryan [66]

Answer:

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let's make the amount y

so x= y

5 = 45 cross multiplying the values

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y= 7x

x=y

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7 0
3 years ago
Out of 2000 families with four Children each,
Molodets [167]

Answer:

Two boys

Step-by-step explanation:

Please mark me as brainliest

8 0
2 years ago
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