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enot [183]
3 years ago
6

Question 1 (10 points)

Mathematics
1 answer:
Len [333]3 years ago
8 0

Answer:

C. Tan 40 = 60/x

Step-by-step explanation:

Reference angle = 40°

Opposite side to reference angle = 60

Adjacent side = x

Apply trigonometric function TOA,

Tan 40 = Opp/Adj

Tan 40 = 60/x

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What is the vertex of the parabola with the equation y=1/5x^2 + 2x - 8
bixtya [17]

Answer:

(-5,-13)

Step-by-step explanation:

Find the vertex of the parabola y=1/5x^2+2x−8.  

In this equation a=15  and b = 2.  

x= -2/2(1/5) = -2/2/5 = -2/1 * 5/2 = -5

Substitute −5 into the equation y=1/5x^2+2x−8

y=1/5(−5)^2+2(−5)−8

y=5−10−8

y=−13

The vertex is (−5 , −13)

8 0
3 years ago
The purchasing director of a bank has just received a shipment of 100 printers. She has been told that the shipment includes 5 d
zaharov [31]
Since there is a 95% chance that you get two printers right, then you simply square the decimal equivalent which is .95 (Hence, you do .95^2). You will get .9025 (or 90.25%). 

For letter b, you simply subtract .9025 from 1. 
ans = 1-.9025
ans = .0975 (or 9.75%)

So the answer to B) would be there is a 9.75% chance the probability of a shipment can be rejected.
8 0
3 years ago
.Given: F(x) = 3x2+ 1, G(x) = 2x - 3, H(x) = x
inna [77]

For this case we have the following functions:

F (x) = 3x ^ 2 +1\\G (x) = 2x-3\\H (x) = x

We have to:

G (x) * - 1 is given by:

(2x-3) * - 1 = -2x +3

Thus, the correct option is the option is A.

On the other hand,

F (x) +G (x) = 3x ^ 2 +1 +(2x - 3) = 3x ^ 2+ 1+ 2x-3 = 3x ^ 2 +2x-2

Thus, the correct option is the option is A.

We also have:

F (-2) = 3 (-2) ^ 2+ 1 = 3 (4)+ 1 = 12+ 1 = 13

Thus, the correct option is the option is B.

Last we have:

F (3)+G (4) -2H (5) = (3 (3) ^ 2+ 1)+ (2 (4) -3) -2 (5) = (3 (9)+ 1) - (8-3) 10 = 28+ 5-10 = 33

Thus, the correct option is the option is C.

ANswer:

Option A, A, B, C

8 0
4 years ago
Solve 4 square root of 3 = 8cos
sukhopar [10]

Therefore \theta = 30^\circ

Step-by-step explanation:

Given,

4\sqrt{3 } =8 cos \theta

\Leftrightarrow cos \theta =\frac{4\sqrt{3} }{8}

\Leftrightarrow cos \theta =\frac{\sqrt{3} }{2}

\Leftrightarrow cos \theta =cos 30^\circ

\Leftrightarrow  \theta = 30^\circ

Therefore \theta = 30^\circ

4 0
3 years ago
→
Marina86 [1]

Answer:

B I think..................................

4 0
2 years ago
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