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mars1129 [50]
3 years ago
11

Answers for these two questions

Mathematics
1 answer:
marin [14]3 years ago
6 0

Answer:

1. a) the square root of 20

2. d) the square root of 52

Explanation:

we can use the formula of pythagoras' theorem, which is a² + b² = c² (with c being the hypotenuse of a right-angled triangle while a and b are its other two sides), to solve these questions.

for the first question, we can place the given values into the equation to get 4² + b² = 6², with b being the unknown here. b is thus equivalent to 6² - 4², or <u>√20</u>.

for the second question, we can get 4² + 6² = c², which is the unknown value in this question. it would be <u>√52</u>.

i hope this helps! :D

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What is the smallest degree of rotation that will map a regular 18-gon onto itself?
Korolek [52]
Because the 18-gon is symmetrical, you can rotate it by 360/18 or 20 degrees. This is because when you rotate it by 20 degrees(to the left for explanation matters), any angle will now be in the position of its angle to its left.
6 0
3 years ago
Read 2 more answers
A. f(x)=1/x+4<br> b.f(x)=1/x-4<br> c.f(x)=1/x+4<br> d.f(x)=1/x-4
romanna [79]

Answer:

The correct answer is c. f(x) = 1/(x + 4)

Step-by-step explanation:

We can tell this because as the bottom of the equation (x + 4) approaches 0, the equation gets larger and larger.

Also, you can note that -4 is a asymptote, which can only be from the bottom of the equation being equal to 0. This is only true in option c.  

7 0
2 years ago
If dy/dx = tan(x), then y=
Vikentia [17]
Dy/dx= tanx, can be answered directly using the derivatives of trigonometric functions but this is how the answer is derived
         =(sinx/cosx) basic trigonometric function
         = [cosx cox+sinxsinx]/cos^2x
         =[cos^2x+sin^2x]/cos^2x
cos^2+sin^2x = 1 ; fundamental trigonometric identities
         = 1/cos^2x; reciprocal relations
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The answer is letter B.sec^2x+C
6 0
3 years ago
Read 2 more answers
The waiting time at an elevator is uniformly distributed between 30 and 200 seconds. What is the probability a rider must wait b
serg [7]

Answer:

17.65% probability a rider must wait between 1 minute and 1.5 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is between c and d is given by the following formula

P(c \leq X \leq d) = \frac{d - c}{b - a}

For this problem, we have that:

a = 30, b = 200, c = 1*60 = 60, d = 1.5*60 = 90

P(60 \leq X \leq 90) = \frac{90 - 60}{200 - 30} = 0.1765

17.65% probability a rider must wait between 1 minute and 1.5 minutes

7 0
3 years ago
Please help. i dont understand what i have to do and how to get it. thank you
rjkz [21]

Answer:

\left[\begin{array}{ccc}9\\10\\\end{array}\right]

Step-by-step explanation:

Evaluate 3a by multiplying each element by 3

3a = 3 \left[\begin{array}{ccc}2\\4\\\end{array}\right] = \left[\begin{array}{ccc}3(2)\\3(4)\\\end{array}\right] = \left[\begin{array}{ccc}6\\12&\\\end{array}\right], then

3a + b

= \left[\begin{array}{ccc}6\\12\\\end{array}\right] + \left[\begin{array}{ccc}3\\-2\\\end{array}\right] ← sum corresponding elements

= \left[\begin{array}{ccc}6+3\\12-2\\\end{array}\right]

= \left[\begin{array}{ccc}9\\10\\\end{array}\right]

8 0
3 years ago
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