(x-8, y+2).
When translating figures, a translation to the right subtracts from the x-coordinate (sort of the opposite of how we think of graphs that go to the right). Translations up would be adding to the y-coordinate.
Answer:
x = −
3
, y
=
−
5
Step-by-step explanation:
Answer:
D ; 15 cm
Step-by-step explanation:
The graph which matches the distribution of the data is D. This can be known by visually pairing Kristen's data on the y-axis to Eddie's data on the x - axis.
The Numbe rof centimeters Kristen has left to knit when Eddie has 13 cm is about 15 cm. This can be obtained by tracing the poi t 12 upward and tracing its intersection with the best fit line to the y-axis.
a. θ = 36. 9°
b. θ = 114. 2°
<h3>How to determine the value of theta</h3>
a. We use the cosine identity
cos θ = adjacent/hypotenuse
Adjacent = 4cm
Hypotenuse = 5cm
cos θ = 4/ 5
cos θ = 0. 8
Now, we have the inverse of the cosine value
θ = cos^-1 (0. 8)
θ = 36. 9°
b. We use the tangent identity
tan a = opposite / adjacent
tan a = 3. 8/1. 7
tan a = 2. 23
a = tan^-1 ( 2. 23)
a = 65. 8
We have;
a + θ = 180 °; angles on a straight line
θ = 180 - 65. 9
θ = 114. 2°
Learn more about trigonometric identities here:
brainly.com/question/7331447
#SPJ1
Answer:
3/52
Step-by-step explanation:
There are 13 types of cards (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K), out of which 3 (J, Q, K) are face cards. This means that the probability for the first half is 3/13. There are 4 suites (Club, Spade, Hearts, and Diamonds). This means the probability of attaining a club is 1/4. 3/13 * 1/4 = 3/52
