Answer:
Actual length of wall = 30ft
Step-by-step explanation:
We have scale of a room as 3 inch for 5ft.
We can write scaling factor as:
Scaling factor = 3 /60 (Since 5ft = 60 inches )
Scaling factor = 1/20
Now,
a wall in the blueprint is 18inch.
So actual length of wall can be determined by dividing 18 inch by the scale factor.
i.e actual length of wall = 18 / scale factor = 18 / (1/20)
actual length of wall = 18* 20 = 360 inch = 30ft (Since 360 inch = 30ft)
Hence Actual length of wall = 30ft
Answer:
the one where it passes -2
Step-by-step explanation:
-2 > -3
Answer: 20 students participate in school sports.
Step-by-step explanation:
Since, Mrs. Perez has 28 students.
And, According to the question, 5 /7 of those students participate in school sports.
Therefore, the students participate in school sports = 5/7 of the total number of the students
= ![5/7 \times 28](https://tex.z-dn.net/?f=5%2F7%20%5Ctimes%2028)
= 20
Thus 20 students participate in school sports.
Answer:
"6 units left and 9 units down"
Step-by-step explanation:
Suppose a function is given in this form:
![y=(x-a)^2+b](https://tex.z-dn.net/?f=y%3D%28x-a%29%5E2%2Bb)
This is the parent function y = x^2
- translated a units right (left if there was a + before a)
- translated b units up (down if there was a - before b)
Now, to go from
to
, we can see that:
- first function is 5 units right and 2nd one is 1 unit left, so there is a horizontal translation of 6 units left
- first function is 7 units above and 2nd one is 2 units down, so there is a vertical translation of 9 units down
Thus, "6 units left and 9 units down" is the transformation(translation).
Use the Pythagorean Theorem.
a² + b² = c²
3² + b² = 19²
9 + b² = 361
b² = 352
b = 4√11
Now, solve for the remaining angles by using the trigonometric ratios:
Sine = opposite/hypotenuse
sin(A)= 3/19
sininverse(3/19) = 9.1 = angle A
180-9.1-90 = 80.9 = angle B