Answer:
24 units
Step-by-step explanation:
A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?
triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
15.5 units
24 units
30 units
37.5 units
From the description:
angle D measures a degrees
opposite to angle D is side EF
side DE (which measures 30 units) is the hypotenuse of the triangle.
We also know that
From definition:
Replacing:
Answer:
325 km
Step-by-step explanation:
Given the scale :
1 : 4 ,000, 000
1cm measure in map = 4000000 on the ground
From the map :
Distance between Leeds and London = 8.125 cm
The actual distance on ground can be calculated thus :
1cm = 4,000,000
8.125cm = x
Cross multiply
x = 32500000 cm
Converting to kilometers :
1 km = 100,000 cm
x = 32500000
Cross multiply
100,000x = 32500000
x = 32500000 / 100000
x = 325
Hence, actual distance between Leeds and London is 325 km
Answer:
4 16 2.000
5 25 2.236
6 36 2.449
7 49 2.646
Step-by-step explanation:
Answer:
g = -1
Step-by-step explanation:
Given the following data;
Slope, m = 9
Points = (-7, -10) and (-6, g)
X-axis = x1, x2 = (-7, -6)
Y-axis = (y1, y2) = (-10, g)
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
9 = (g - (-10))/(-6 - (-7)
9 = (g + 10)/(-6 + 7)
9 = (g + 10)/1
Cross-multiplying, we have;
9 = g + 10
g = 9 - 10
g = -1
Answer:
X= -10
Step-by-step explanation:
