Answer:
A. 3a-2=54
Step-by-step explanation:
3 x her age - the 2 year will equal 54
Answer:
transformation is a function that takes points on the plane and maps them to other points on
the plane. Transformations can be applied one after the other in a sequence where you use the
image of the first transformation as the preimage for the next transformation.
Find the image for each sequence of transformations.
Using geometry software, draw a triangle and label the
vertices A, B, and C. Then draw a point outside the
triangle and label it P.
Rotate △ABC 30° around point P and label the image as
△A′B′C ′. Then rotate △A′B′C ′ 45° around point P and
label the image as △A″B″C ″. Sketch your result.
Make a conjecture regarding a single rotation that will map △ABC to △A″B″C″.
Check your conjecture, and describe what you did.
Using geometry software, draw a triangle and label the
vertices D, E, and F. Then draw t
Step-by-step explanation:
The answer is b. 593.8 ft^2
Solve for the height then plug everything in (attachment shows the formula)
Answer:t+3
Step-by-step explanation:
4t+7t+3-10t
11t+3-10t
t+3
Answer:
Magnitude: 121.35 pounds
Direction: 21.64°
Explanation:
1) Decompose each force into its x - y components.
2) Force 1, F1: 140 pounds at angle of 30°
x-component: F1,x
F1, x = F1 *cos(30°) = 140 pounds * cos(30°) = 121.24 pounds
y-component: F1,y
F1,y = F1 * sin(30°) = 140 pounds * sin(30°) = 70 pounds.
3) Force 2, F2: 75 poounds at 150°
x-component: F2,x
F2,x = F2 * cos(150°) = 75 pounds * cos(150°) = - 64.95 pounds
y-component: F2,y
F2,y = F2 * sin(150°) = 75 pounds * sin(150°) = 37.5 pounds
4) Resultant Force, Fr
x-component: Fr,x
Fr,x = F1,x + F2,x = 121.24 pounds - 64.95 pounds = 56.29 pounds
y-component: Fr,y
Fr,y = F1,y + F2,y = 70 pounds + 37.5 pounds = 107.5 pounds
4.1) magnitude
|Fr| = √ [ (56.29 pouns)^2 + (107.5 pounds)^2 ] = 121.35 pounds.
4.2) direction
tan(α) = Fr,y / Fr,3 = 56.29 pounds / 107.5 pouns = 0.5236
=> α = arctan(0.5236) = 27.64 °