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3 years ago

Write 2 expressions using trigonometric ratios that are equivalent to 40/41.

Mathematics

1 answer:

Whitepunk [10]3 years ago

7 0

Answer:

cos(F) = 40/41

sin(G) = 40/41

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

... Sin = Opposite/Hypotenuse

... Cos = Adjacent/Hypotenuse

In your triangle 41 is the hypotenuse, so these two ratios are appropriate ones to use. The side of length 40 is adjacent to angle F, so

... cos(F) = 40/41

and the side of length 40 is opposite angle G, so

... sin(G) = 40/41

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Woodley Stadium has nine gates with two ticket booths at each gate. If each ticket booth can process 600 fans per hour, what is

prisoha [69]

Answer:

2,700

Step-by-step explanation:

2,700 fans would go in per hour you would have to divide the gates and 2 ticket booths and then with that you times 600 by the number you get by dividing

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4 years ago

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At the movie theatre, child admission is S5.20 and adult admission is $8.30. On Tuesday, 156 tickets were sold for a total sales

Annette [7]

Answer:

So, 89 Adult tickets were sold.

Step-by-step explanation:

So, we first name our variables, say, a for number of adult tickets, and c for child tickets.

Then we write our system of equations, first the total $ sale:

5.2c + 8.3a = 1087.10

Then we write the 2nd equation, the total number of tickets:

c + a = 156

Now, we can solve the system:

We do have different methods, let's to by subsitution.

make some change to the 2nd equation, to make c the subject: c = 156 - a

Now we plug that into the 1st equation:

5.2(156 - a) + 8.3a = 1087.10

811.2 - 5.2a + 8.3a = 1087.10

811.2 + 3.1a = 1087.10

3.1a = 275.9

a = 89

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3 years ago

Which equation represents a proportional relationship? A) y = 9x B) y = 9x + 1 C) y = 9x + 9 D) y = 9 x

aliya0001 [1]

Hello! I think your answer is A) y= 9x

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3 years ago

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WILL GIVE BRAINLIEST IMMEDIATELY!!! INSTANT BRAINLY!! PLS HELP

lys-0071 [83]

Answer:

The two column proof is presented as follows;

Statement ${}$ Reason

1. Parallelogram SUPN $\overline {SR}$ ⊥ $\overline {UN}$ ${}$ 1. Given

and $\overline {MP}$ ⊥ $\overline {UN}$

2. ∠SRU = ∠PMN = 90° ${}$ 2. Definition of perpendicular lines

3. ∠SRU ≅ ∠PMN ${}$ 2. Definition of congruency

4. $\overline {UP}$ ║ $\overline {SN}$ ${}$ 4. Opposite sides of a parallelogram are ${}$ congruent

5. ∠SNR ≅ ∠PUM ${}$ 5. Alternate interior angles are congruent

6. $\overline {UP}$ ≅ $\overline {SN}$ ${}$ 6. Opposite sides of a parallelogram are ${}$ congruent

7. ΔPMU ≅ ΔSRN ${}$ 7. By AAS rule of congruency

By the Angle-Angle-Side (AAS) rule of congruency, we have that, if two angles and a corresponding adjacent side (∠SRU ≅ ∠PMN, ∠SNR ≅ ∠PUM, $\overline {UP}$ ≅ $\overline {SN}$ ) of two triangles (ΔPMU and ΔSRN) are congruent, then the the two triangles are also congruent (ΔPMU ≅ ΔSRN)

Step-by-step explanation:

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3 years ago

1. Each person has a 75% probability of going to the Chess Tahoe restaurant. a. You randomly select 8 people. What is the probab

Ipatiy [6.2K]

Step-by-step explanation:

75%

selected=8

=8-5=3

=75/100×3

=3/4×3

=9/4

=2 1/4

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3 years ago