The distance from the center of dilation, P, to.the image vertice S' is; 6 units.
<h3>What is the distance from the center of dilation, P, to the image S'?</h3>
It follows from the task content that the center of dilation of the triangle QRS is point P and the length of segment PS in the pre-image is; 8 units.
Hence, since the dilation factor as given in the task content is; three-fourths, it therefore follows that the distance of point P to S' in the image is; (3/4) × 8 = 6units.
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Volume = l×b×h = 48×40×30 = 57600 cm²
9514 1404 393
Answer:
297 miles
Step-by-step explanation:
The round-trip distance from X to Y is double the one-way distance. The distance from X to Y is 648/2 = 324 miles.
That distance is the sum of distances from X to Z and Z to Y. Then ...
XZ +ZY = XY
27 +ZY = 324
ZY = 297
It is 297 miles from City Z to City Y.
sum of all sides of triangle=180°
7x+13x+16x=180°
36x=180°
x=180°/36
x=5
angle D=7x
=7(5)
D=35°
angle E=13(x)
=13(5)
E=65°
angle F=16x
=16(5)
F=80°
angle D=35°
angle E=65°
angle F=80°
The answer would be A) 2,640.
In order to find this we must first find an amount of people per square feet. Since we are given that 10 people fit in a 5x5 square, we know that 10 people fit in 25 square feet. This will be the basis for our final calculation.
Now we need to find how many square feet we have. Since it is a quarter of a mile long, we'll divide the number of feet in a mile by 4.
5,280/4 = 1320.
Now we take the length and multiply it by the width, which is 5ft.
1320 * 5 = 6,600 square feet.
So we now know the size of the crowd. We can use that and multiply it by the factor that we found at the start to find the number of people.
6,600 square feet * 10 people/ 25 square feet = 2,640 people.