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andreev551 [17]
2 years ago
12

The letters of the alphabet are written on cards and places in a brown paper bag. What is the probability or drawing a vowel, re

placing it, and then drawing another vowel?
A. 25/676
B. 75/676
C. 5/26
D. 21/26
Mathematics
1 answer:
ehidna [41]2 years ago
3 0

Answer:

0.1%

Step-by-step explanation:

:D

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Find the exact value of sec theta if csc theta = -4/3 and the terminal side of theta lies in quadrant III
GREYUIT [131]

Answer:

-4 sqrt(7)/7

Step-by-step explanation:

csc theta = -4/3

csc theta = hypotenuse / opposite side

hypotenuse = 4  

opposite  = 3

Using the pythagorean theorem

a^2 + b^2 = c^2

3^2 + b^2 = 4^2

9+b^2 = 16

b^2 = 16-9

b^2 = 7

Taking the square root

sqrt(b^2) = sqrt(7)

b = sqrt(7)

We are in the third quadrant so only tan  and cot are positive

that means the x and y values are "negative"  so a = -3 and b = - sqrt(7)

sec theta = hypotenuse / adjacent

                = 4/ - sqrt(7)

rationalizing  

                   -4 sqrt(7)/ sqrt(7)* sqrt(7)

                = -4 sqrt(7)/7

           

3 0
2 years ago
Given the Arithmetic sequence A1,A2,A3,A4A1,A2,A3,A4
Bad White [126]
The given sequence is
a₁ = 29
a₂ = 39
a₃ = 49
a₄ = 59

This sequence is an arithmetic sequence. Th first term is a₁ = 29, and the common difference is d= 10.

The n-th term is
a_{n}=a_{1}+(n-1)d
The 33-rd termis
a₃₃ = 29 + (33 - 1)*10
     = 29 + 320
     = 349

Answer: a₃₃ = 349
7 0
2 years ago
Sophia exchanged 1,000 US dollars for the south African currency. the exchange rate was 7.15 rand to $1.00.
mel-nik [20]
1 / 7.15 = 1000 / x......$ 1 to 7.15 rand = $ 1000 to x rand
cross multiply because this is a proportion
(1)(x) = (7.15)(1000)
x = 7150 <=== Sophia got 7150 rand
5 0
3 years ago
A quadratic function that has the vertex (-2, -4) and passes through the point (-1, -6)
spayn [35]

Answer:

f(x) = -2 (x + 2)² - 4  

Step-by-step explanation:

f(x) = a (x - h)² + k     (h , k) is vertex    h = -2     k = -4

pass point (-1 , -6)     f(x) = -6 and x = -1

-6 = a (-1 - (-2))² + (-4)

-6 = a - 4

a = -2

quadratic function: f(x) = -2 (x + 2)² - 4

5 0
3 years ago
Three teachers have provided you with an equation that models their salaries in million of dollars each year. teacher
Yuliya22 [10]
Teacher c makes the most money at the end of their career since the model is entirely linear. 
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3 years ago
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