Answer:
The correct answer is 450°, 810°, -270° and -630°.
Step-by-step explanation:
According to the given scenario, the calculation of the two positive angles and two negative angles i.e. coterminal is as follows:
The coterminal angles are the angles in which the difference could be 360 degrees or the multiples of 360 degrees
For 90 degrees, the two positive angles are
a. 90° + 360°
= 450°
450° + 360°
= 810°
b. The two negative angles are
= 90° - 360°
= -270°
-270° - 360°
= -630°
Answer:
2
Step-by-step explanation:
basically logarithms are like reverse exponents
log7, 49 is basically asking 7 to the what gets you 49
because of that its 2 because 7^2 gets you 49
Answer:
1/20 if there is only those 10 cards in a deck and 1/26 if there is 52 cards in the deck.
Step-by-step explanation:
There is 3/6 chances to roll a die with an even number, aka 1/2. If there are only 10 cards in the deck and only one of them has the number 5, it's 1/10. To find the probability of both these things happening, multiply the probabilities. 1/10 x 1/2 is equal to 1/20. However, since the question doesn't specify if there is 52 cards like a normal deck and 4 5's etc, there can be a different answer because if there's 52 cards in a deck, 4 of them 5's, the chance of getting a 5 is 4/52 or 1/13 and then you multiply that by 1/2 to get 1/26
Answer:
The coordinates of Y' will be: A'(4, -3)
Step-by-step explanation:
Triangle XYZ with vertices
We have to determine the answer for the image Y' of the point Y(-3, 4) with respect to the line mirror y=x.
We know that when P(x, y) is reflected in y = x, we get P'(y, x)
i.e.
The rule of y=x:
As we are given that Y(-3, 4), so the coordinates of Y' will be:
A(-3, 4) → A'(4, -3)
Therefore, the coordinates of Y' will be: A'(4, -3)
Answer:
The probability that the person is between 65 and 69 inches is 0.5403
Step-by-step explanation:
Mean height = 
Standard deviation = 
We are supposed to find What is the probability that the person is between 65 and 69 inches i.e.P(65<x<69)
At x = 65
Z=-0.4
Refer the z table for p value
P(x<65)=0.3446
At x = 69
Z=1.2
P(x<69)=0.8849
So,P(65<x<69)=P(x<69)-P(x<65)=0.8849-0.3446=0.5403
Hence the probability that the person is between 65 and 69 inches is 0.5403
